메뉴 건너뛰기




Volumn 222, Issue 2, 2008, Pages 77-134

Passive non-linear targeted energy transfer and its applications to vibration absorption: A review

Author keywords

Passive non linear targeted energy transfer; Vibration absorbtion

Indexed keywords

ABSORPTION; CHAOTIC SYSTEMS; CURRICULA; ENERGY STORAGE; ENERGY TRANSFER;

EID: 46749131847     PISSN: 14644193     EISSN: None     Source Type: Journal    
DOI: 10.1243/14644193JMBD118     Document Type: Article
Times cited : (162)

References (169)
  • 1
    • 0003988092 scopus 로고
    • Device for damping vibrations of bodies
    • US Pat. 989958
    • Frahm, H. Device for damping vibrations of bodies. US Pat. 989958, 1909.
    • (1909)
    • Frahm, H.1
  • 2
    • 0029321567 scopus 로고
    • Passive, adaptive and active tuned vibration absorbers - a survey
    • Sun, J. Q., Jolly, M. R., and Norris, M. Passive, adaptive and active tuned vibration absorbers - a survey. Trans. ASME, J. Mech. Des., 1995, 117 234-242.
    • (1995) Trans. ASME, J. Mech. Des , vol.117 , pp. 234-242
    • Sun, J.Q.1    Jolly, M.R.2    Norris, M.3
  • 4
    • 2142700777 scopus 로고    scopus 로고
    • Minimax optimization of multi-degree-of-freedom tuned-mass dampers
    • Zuo, L. and Nayfeh, S. Minimax optimization of multi-degree-of-freedom tuned-mass dampers. J. Sound Vibr., 2004, 272(3-5), 893-908.
    • (2004) J. Sound Vibr , vol.272 , Issue.3-5 , pp. 893-908
    • Zuo, L.1    Nayfeh, S.2
  • 5
    • 27744461222 scopus 로고    scopus 로고
    • Frequency analysis of the tuned mass damper
    • Krenk, S. Frequency analysis of the tuned mass damper. Trans. ASME, J. Appl. Mech., 2005, 72, 936-942.
    • (2005) Trans. ASME, J. Appl. Mech , vol.72 , pp. 936-942
    • Krenk, S.1
  • 6
    • 26444526191 scopus 로고    scopus 로고
    • Suppresion of bending waves in a beam using a tuned vibration absorber
    • El-Khatib, H., Mace, B., and Brennan, M. Suppresion of bending waves in a beam using a tuned vibration absorber. J. Sound Vibr., 2005, 288, 1157-1175.
    • (2005) J. Sound Vibr , vol.288 , pp. 1157-1175
    • El-Khatib, H.1    Mace, B.2    Brennan, M.3
  • 7
    • 33645750939 scopus 로고    scopus 로고
    • The two-degree-of-freedom tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation
    • Zuo, L. and Nayfeh, S. The two-degree-of-freedom tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation. Trans. ASME J. Vibr. Acoust., 2006, 128, 56-65.
    • (2006) Trans. ASME J. Vibr. Acoust , vol.128 , pp. 56-65
    • Zuo, L.1    Nayfeh, S.2
  • 8
    • 50449139375 scopus 로고
    • Synthesis of a nonlinear dynamic vibration absorber
    • Roberson, R. Synthesis of a nonlinear dynamic vibration absorber. J. Franklin Inst., 1952, 254, 205-220.
    • (1952) J. Franklin Inst , vol.254 , pp. 205-220
    • Roberson, R.1
  • 9
    • 46749159534 scopus 로고
    • A study on the behavior of nonlinear dynamic absorber
    • in Korean
    • Pak, C., Song, S., Shin, H., and Hong, S. A study on the behavior of nonlinear dynamic absorber (in Korean). Korean Soc. Noise Vibr. Eng, 1993, 3, 137-143.
    • (1993) Korean Soc. Noise Vibr. Eng , vol.3 , pp. 137-143
    • Pak, C.1    Song, S.2    Shin, H.3    Hong, S.4
  • 10
    • 31444447685 scopus 로고    scopus 로고
    • Multiple non-smooth events in multi-degree-of-freedom vibro-impact systems
    • Wagg, D. Multiple non-smooth events in multi-degree-of-freedom vibro-impact systems. Nonlinear Dyn., 2006, 43, 137-148.
    • (2006) Nonlinear Dyn , vol.43 , pp. 137-148
    • Wagg, D.1
  • 11
    • 0034246982 scopus 로고    scopus 로고
    • On the design of the piecewise linear vibration absorber
    • Pun, D. and Liu, Y. B. On the design of the piecewise linear vibration absorber. Nonlinear Dyn., 2000, 22(4), 393-113.
    • (2000) Nonlinear Dyn , vol.22 , Issue.4 , pp. 393-113
    • Pun, D.1    Liu, Y.B.2
  • 12
    • 0024130318 scopus 로고
    • Chaotic motions of a torsional vibration absorber
    • Shaw, S. and Wiggins, S. Chaotic motions of a torsional vibration absorber. Trans. ASME, J. Appl. Mech., 1988, 55, 952-958.
    • (1988) Trans. ASME, J. Appl. Mech , vol.55 , pp. 952-958
    • Shaw, S.1    Wiggins, S.2
  • 14
    • 0013366429 scopus 로고
    • Vibration suppression of flexible structures using internal resonance
    • Golnaraghi, M.Vibration suppression of flexible structures using internal resonance. Mech. Res. Commun., 1991, 18, 135-143.
    • (1991) Mech. Res. Commun , vol.18 , pp. 135-143
    • Golnaraghi, M.1
  • 15
    • 36549099626 scopus 로고
    • Vibrational energy transfer at the gas-solid interface: The role of collective and of localized vibrational modes
    • Vilallonga, E. and Rabitz, H. Vibrational energy transfer at the gas-solid interface: the role of collective and of localized vibrational modes. J. Chem. Phys., 1986, 85, 2300-2314.
    • (1986) J. Chem. Phys , vol.85 , pp. 2300-2314
    • Vilallonga, E.1    Rabitz, H.2
  • 16
    • 36549096140 scopus 로고
    • A hybrid model for vibrational energy transfer at the gas-solid interface: Discrete surface atoms plus a continuous elastic bulk
    • Vilallonga, E. and Rabitz, H. A hybrid model for vibrational energy transfer at the gas-solid interface: discrete surface atoms plus a continuous elastic bulk. J. Chem. Phys., 1990, 92, 3957-3976.
    • (1990) J. Chem. Phys , vol.92 , pp. 3957-3976
    • Vilallonga, E.1    Rabitz, H.2
  • 17
    • 24544433777 scopus 로고
    • Intrinsic localized modes in anharmonic crystals
    • Sievers, A. and Takeno, S. Intrinsic localized modes in anharmonic crystals. Phys. Rev. Lett., 1988, 61, 970-973.
    • (1988) Phys. Rev. Lett , vol.61 , pp. 970-973
    • Sievers, A.1    Takeno, S.2
  • 18
    • 4243738139 scopus 로고
    • Derealization of quantum chaos by weak nonlinearity
    • Shepelyansky, D. Derealization of quantum chaos by weak nonlinearity. Phys. Rev. Lett., 1993, 70, 1787-1790.
    • (1993) Phys. Rev. Lett , vol.70 , pp. 1787-1790
    • Shepelyansky, D.1
  • 19
    • 17044406013 scopus 로고    scopus 로고
    • Reduction of energy absorption by phonons and spin waves in a disordered solid due to localization
    • Sokoloff, J. Reduction of energy absorption by phonons and spin waves in a disordered solid due to localization. Phys. Rev. B, 2000, 61, 9380-9386.
    • (2000) Phys. Rev. B , vol.61 , pp. 9380-9386
    • Sokoloff, J.1
  • 20
    • 0038543060 scopus 로고    scopus 로고
    • On the exchange of energy in coupled Klein-Gordon equations
    • Khusnutdinova, K. and Pelinovsky, D. On the exchange of energy in coupled Klein-Gordon equations. Wave Motion, 2003, 38, 1-10.
    • (2003) Wave Motion , vol.38 , pp. 1-10
    • Khusnutdinova, K.1    Pelinovsky, D.2
  • 21
    • 0037150636 scopus 로고    scopus 로고
    • Breather-phonon resonances in finite-size lattices: 'phantom breathers'?
    • Morgante, A., Johansson, M., Aubry, S., and Kopidakis, G. Breather-phonon resonances in finite-size lattices: 'phantom breathers'? J. Phys. A., 2002, 35, 4999-5021.
    • (2002) J. Phys. A , vol.35 , pp. 4999-5021
    • Morgante, A.1    Johansson, M.2    Aubry, S.3    Kopidakis, G.4
  • 22
    • 42749101412 scopus 로고    scopus 로고
    • Targeted energy transfer through discrete breathers in nonlinear systems
    • 165501.1-4
    • Kopidakis, G., Aubry, S., and Tsironis, G. Targeted energy transfer through discrete breathers in nonlinear systems. Phys. Rev. Lett., 2001, 87, 165501.1-4.
    • (2001) Phys. Rev. Lett , vol.87
    • Kopidakis, G.1    Aubry, S.2    Tsironis, G.3
  • 23
    • 0035248135 scopus 로고    scopus 로고
    • Analytic conditions for targeted energy transfer between nonlinear oscillators or discrete breathers
    • Aubry, S., Kopidakis, G., Morgante, A., and Tsironis, G. Analytic conditions for targeted energy transfer between nonlinear oscillators or discrete breathers. Phys. B, 2001, 296, 222-236.
    • (2001) Phys. B , vol.296 , pp. 222-236
    • Aubry, S.1    Kopidakis, G.2    Morgante, A.3    Tsironis, G.4
  • 24
    • 0347758756 scopus 로고    scopus 로고
    • Classical and quantum targeted energy transfer between nonlinear oscillators
    • Maniadis, P., Kopidakis, G., and Aubry, S. Classical and quantum targeted energy transfer between nonlinear oscillators. Phys. D, 2004, 188, 153-177.
    • (2004) Phys. D , vol.188 , pp. 153-177
    • Maniadis, P.1    Kopidakis, G.2    Aubry, S.3
  • 25
    • 20744455335 scopus 로고    scopus 로고
    • Targeted energy transfer between a rotor and a Morse oscillator: A model for selective chemical dissociation
    • Memboeuf, A. and Aubry, S. Targeted energy transfer between a rotor and a Morse oscillator: a model for selective chemical dissociation. Phys. D, 2005, 207, 1-23.
    • (2005) Phys. D , vol.207 , pp. 1-23
    • Memboeuf, A.1    Aubry, S.2
  • 26
    • 0020477436 scopus 로고
    • Confinement of vibration by structural irregularity
    • Hodges, C. Confinement of vibration by structural irregularity. J. Sound Vibr., 1982, 82, 411-124.
    • (1982) J. Sound Vibr , vol.82 , pp. 411-124
    • Hodges, C.1
  • 27
    • 0023648036 scopus 로고
    • Localization of vibrations by structural irregularity
    • Pierre, C. and Dowell, E. Localization of vibrations by structural irregularity. J. Sound Vibr., 1987, 114, 549-564.
    • (1987) J. Sound Vibr , vol.114 , pp. 549-564
    • Pierre, C.1    Dowell, E.2
  • 28
    • 0023422008 scopus 로고
    • Mode localization phenomena in large space structures
    • Bendiksen, O. Mode localization phenomena in large space structures. AIAA J., 1987, 25, 1241-1248.
    • (1987) AIAA J , vol.25 , pp. 1241-1248
    • Bendiksen, O.1
  • 29
    • 0033872671 scopus 로고    scopus 로고
    • Localized modes in a two-degree-coupling periodic system with a nonlinear disordered subsystem
    • Cai, C., Chan, H., and Cheung, Y. Localized modes in a two-degree-coupling periodic system with a nonlinear disordered subsystem. Chaos Solitons Fractals, 2000, 11, 1481-1492.
    • (2000) Chaos Solitons Fractals , vol.11 , pp. 1481-1492
    • Cai, C.1    Chan, H.2    Cheung, Y.3
  • 30
    • 24244444170 scopus 로고
    • Absence of diffusion in certain random lattices
    • Anderson, P. Absence of diffusion in certain random lattices. Phys. Rev., 1958, 109, 1492-1505.
    • (1958) Phys. Rev , vol.109 , pp. 1492-1505
    • Anderson, P.1
  • 31
    • 0020822216 scopus 로고
    • Vibration isolation from irregularity in a nearly periodic structure: Theory and measurements
    • Hodges, C. and Woodhouse, J. Vibration isolation from irregularity in a nearly periodic structure: theory and measurements. J. Acoust Soc. Am., 1983, 74, 894-905.
    • (1983) J. Acoust Soc. Am , vol.74 , pp. 894-905
    • Hodges, C.1    Woodhouse, J.2
  • 32
    • 0027040891 scopus 로고
    • Dynamics of a nonlinear periodic structure with cyclic symmetry
    • Vakakis, A. Dynamics of a nonlinear periodic structure with cyclic symmetry. Acta Mech., 1992, 95, 197-226.
    • (1992) Acta Mech , vol.95 , pp. 197-226
    • Vakakis, A.1
  • 33
    • 0027540079 scopus 로고
    • Mode localization in a class of multi-degree-of-freedom nonlinear systems with cyclic symmetry
    • Vakakis, A. and Cetinkaya, C. Mode localization in a class of multi-degree-of-freedom nonlinear systems with cyclic symmetry. SIAM J. Appl. Math., 1993, 53, 265-282.
    • (1993) SIAM J. Appl. Math , vol.53 , pp. 265-282
    • Vakakis, A.1    Cetinkaya, C.2
  • 34
    • 0028417163 scopus 로고
    • Free and forced dynamics of a class of periodic elastic systems
    • Vakakis, A., Raheb, M., and Cetinkaya, C. Free and forced dynamics of a class of periodic elastic systems. J. Sound Vibr., 1994, 172, 23-46.
    • (1994) J. Sound Vibr , vol.172 , pp. 23-46
    • Vakakis, A.1    Raheb, M.2    Cetinkaya, C.3
  • 35
    • 0029229780 scopus 로고
    • A very complicated structure of resonances in a nonlinear system with cyclic symmetry: Nonlinear forced localization
    • King, M. and Vakakis, A. A very complicated structure of resonances in a nonlinear system with cyclic symmetry: nonlinear forced localization. Nonlinear Dyn., 1995, 7, 85-104.
    • (1995) Nonlinear Dyn , vol.7 , pp. 85-104
    • King, M.1    Vakakis, A.2
  • 36
    • 0030258480 scopus 로고    scopus 로고
    • Localized and non-localized nonlinear normal modes in a multi-span beam with geometric nonlinearities
    • Aubrecht, J. and Vakakis, A. Localized and non-localized nonlinear normal modes in a multi-span beam with geometric nonlinearities. Trans. ASME, J. Appl. Mech., 1996, 118, 533-542.
    • (1996) Trans. ASME, J. Appl. Mech , vol.118 , pp. 533-542
    • Aubrecht, J.1    Vakakis, A.2
  • 37
    • 0012838179 scopus 로고    scopus 로고
    • Discretenes effects in the forced dynamics of a string on a periodic array of non-linear supports
    • Salenger, G. and Vakakis, A. Discretenes effects in the forced dynamics of a string on a periodic array of non-linear supports. Int. J. Non-Linear Mech., 1998, 33, 659-673.
    • (1998) Int. J. Non-Linear Mech , vol.33 , pp. 659-673
    • Salenger, G.1    Vakakis, A.2
  • 38
    • 30344432131 scopus 로고    scopus 로고
    • Crack induced vibration localization in simplified bladed-disk structures
    • Fang, X., Tang, J., Jordan, E., and Murphy, K. Crack induced vibration localization in simplified bladed-disk structures. J. Sound Vibr., 2006, 291, 395-418.
    • (2006) J. Sound Vibr , vol.291 , pp. 395-418
    • Fang, X.1    Tang, J.2    Jordan, E.3    Murphy, K.4
  • 39
    • 0942279089 scopus 로고    scopus 로고
    • Localizing energy through nonlinearity and discreteness
    • Campbell, D., Flach, S., and Kivshar, Y. Localizing energy through nonlinearity and discreteness. Phys. Today, 2004, 57(1), 43-49.
    • (2004) Phys. Today , vol.57 , Issue.1 , pp. 43-49
    • Campbell, D.1    Flach, S.2    Kivshar, Y.3
  • 40
    • 33244495529 scopus 로고    scopus 로고
    • Colloquium: Nonlinear energy localization and its manipulation in micromechanical oscillator arrays
    • Sato, M., Hubbard, B., and Sievers, A. Colloquium: nonlinear energy localization and its manipulation in micromechanical oscillator arrays. Rev. Mod. Phys., 2006, 78, 137-157.
    • (2006) Rev. Mod. Phys , vol.78 , pp. 137-157
    • Sato, M.1    Hubbard, B.2    Sievers, A.3
  • 41
    • 14944348772 scopus 로고    scopus 로고
    • Energy pumping in coupled mechanical oscillators, part I: Dynamics of the underlying Hamiltonian systems
    • Gendelman, O., Manevitch, L., Vakakis, A., and M'Closkey, R. Energy pumping in coupled mechanical oscillators, part I: dynamics of the underlying Hamiltonian systems. Trans. ASME, J. Appl. Mech., 2001, 68, 34-41.
    • (2001) Trans. ASME, J. Appl. Mech , vol.68 , pp. 34-41
    • Gendelman, O.1    Manevitch, L.2    Vakakis, A.3    M'Closkey, R.4
  • 42
    • 0024860195 scopus 로고
    • Non-linear non-planar parametric responses of an inextensional beam
    • Nayfeh, A. and Pal, P. Non-linear non-planar parametric responses of an inextensional beam. Int. J. Non-Linear Mech., 1989, 24, 139-158.
    • (1989) Int. J. Non-Linear Mech , vol.24 , pp. 139-158
    • Nayfeh, A.1    Pal, P.2
  • 43
    • 0025665980 scopus 로고
    • Non-linear non-planar oscillations of a cantilever beam under lateralbase excitations
    • Pai, P. and Nayfeh, A. Non-linear non-planar oscillations of a cantilever beam under lateralbase excitations. Int. J. Non-Linear Mech., 1990, 25, 455-474.
    • (1990) Int. J. Non-Linear Mech , vol.25 , pp. 455-474
    • Pai, P.1    Nayfeh, A.2
  • 44
    • 0029327694 scopus 로고
    • Energy transfer from high-frequency to low-frequency modes in structures
    • Nayfeh, A. and Mook, D. Energy transfer from high-frequency to low-frequency modes in structures. Trans. ASME, J. Appl. Mech., 1995, 117, 186-195.
    • (1995) Trans. ASME, J. Appl. Mech , vol.117 , pp. 186-195
    • Nayfeh, A.1    Mook, D.2
  • 45
    • 0037249180 scopus 로고    scopus 로고
    • On the transfer of energy between widely spaced modes in structures
    • Malatkar, P. and Nayfeh, A. On the transfer of energy between widely spaced modes in structures. Nonlinear Dyn., 2003, 31, 225-242.
    • (2003) Nonlinear Dyn , vol.31 , pp. 225-242
    • Malatkar, P.1    Nayfeh, A.2
  • 47
    • 0033887110 scopus 로고    scopus 로고
    • Transitions from localization to nonlocalization in strongly nonlinear damped oscillators
    • Gendelman, O. and Vakakis, A. F. Transitions from localization to nonlocalization in strongly nonlinear damped oscillators. Chaos Solitons Fractals, 2000, 11, 1535-1542.
    • (2000) Chaos Solitons Fractals , vol.11 , pp. 1535-1542
    • Gendelman, O.1    Vakakis, A.F.2
  • 48
    • 0000721176 scopus 로고    scopus 로고
    • Inducing passive nonlinear energy sinks in vibrating systems
    • Vakakis, A. Inducing passive nonlinear energy sinks in vibrating systems. Trans. ASME, J. Vibr. Acoust., 2001, 123, 324-332.
    • (2001) Trans. ASME, J. Vibr. Acoust , vol.123 , pp. 324-332
    • Vakakis, A.1
  • 49
    • 0035410002 scopus 로고    scopus 로고
    • Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators
    • Gendelman, O. Transition of energy to a nonlinear localized mode in a highly asymmetric system of two oscillators. Nonlinear Dyn., 2001, 25, 237-253.
    • (2001) Nonlinear Dyn , vol.25 , pp. 237-253
    • Gendelman, O.1
  • 50
    • 0002298634 scopus 로고    scopus 로고
    • Energy pumping in coupled mechanical oscillators, part ii: Resonance capture
    • Vakakis, A. and Gendelman, O. Energy pumping in coupled mechanical oscillators, part ii: resonance capture. Trans. ASME J. Appl. Mech., 2001, 68, 42-48.
    • (2001) Trans. ASME J. Appl. Mech , vol.68 , pp. 42-48
    • Vakakis, A.1    Gendelman, O.2
  • 51
    • 33846516388 scopus 로고    scopus 로고
    • Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions
    • Panagopoulos, P., Gendelman, O., and Vakakis, A. Robustness of nonlinear targeted energy transfer in coupled oscillators to changes of initial conditions. Nonlinear Dyn., 2007, 47(4), 377-387.
    • (2007) Nonlinear Dyn , vol.47 , Issue.4 , pp. 377-387
    • Panagopoulos, P.1    Gendelman, O.2    Vakakis, A.3
  • 52
    • 11544308136 scopus 로고
    • Transition to chaos by interaction of resonances in dissipative systems, ii. Josephson junctions, charge-density waves, and standard maps
    • Bohr, T., Bak, P., and Jensen, M. Transition to chaos by interaction of resonances in dissipative systems, ii. Josephson junctions, charge-density waves, and standard maps. Phys. Rev. A, 1984, 30, 1970-1981.
    • (1984) Phys. Rev. A , vol.30 , pp. 1970-1981
    • Bohr, T.1    Bak, P.2    Jensen, M.3
  • 53
    • 0347945201 scopus 로고    scopus 로고
    • Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave
    • Itin, A., Neishtadt, A., and Vasiliev, A. Captures into resonance and scattering on resonance in dynamics of a charged relativistic particle in magnetic field and electrostatic wave. Phys. D, 2000, 141, 281-296.
    • (2000) Phys. D , vol.141 , pp. 281-296
    • Itin, A.1    Neishtadt, A.2    Vasiliev, A.3
  • 54
    • 84867938520 scopus 로고    scopus 로고
    • Resonances and particle stochastization in nonhomogeneous electromagnetic fields
    • Vainchtein, D., Rovinsky, E., Zelenyi, L., and Neishtadt, A. Resonances and particle stochastization in nonhomogeneous electromagnetic fields. J. Nonlinear Sci., 2004, 14, 173-205.
    • (2004) J. Nonlinear Sci , vol.14 , pp. 173-205
    • Vainchtein, D.1    Rovinsky, E.2    Zelenyi, L.3    Neishtadt, A.4
  • 55
    • 0020734664 scopus 로고
    • Energy bounds for the slow capture by a center in sustained resonance
    • Haberman, R. Energy bounds for the slow capture by a center in sustained resonance. SIAM J. Appl. Math., 1983, 43, 244-256.
    • (1983) SIAM J. Appl. Math , vol.43 , pp. 244-256
    • Haberman, R.1
  • 56
    • 0020736952 scopus 로고
    • Necessary conditions for sustained reentry roll resonance
    • Kath, W. Necessary conditions for sustained reentry roll resonance. SIAM J. Appl. Math., 1983, 43, 314-324.
    • (1983) SIAM J. Appl. Math , vol.43 , pp. 314-324
    • Kath, W.1
  • 57
    • 7544248908 scopus 로고
    • Conditions for sustained resonance. II
    • Kath, W. Conditions for sustained resonance. II. SIAM J. Appl. Math., 1983, 43, 579-583.
    • (1983) SIAM J. Appl. Math , vol.43 , pp. 579-583
    • Kath, W.1
  • 58
    • 0032658320 scopus 로고    scopus 로고
    • Resonant capture and separatrix crossing in dual-spin spacecraft
    • Haberman, R., Rand, R., and Yuster, T. Resonant capture and separatrix crossing in dual-spin spacecraft. Nonlinear Dyn., 1999, 18, 159-184.
    • (1999) Nonlinear Dyn , vol.18 , pp. 159-184
    • Haberman, R.1    Rand, R.2    Yuster, T.3
  • 59
    • 28444433863 scopus 로고    scopus 로고
    • Estimation of the probability of capture into a resonance mode of motion for a spacecraft during its descent in the atmosphere
    • Belokonov, V. and Zabolotnov, M. Estimation of the probability of capture into a resonance mode of motion for a spacecraft during its descent in the atmosphere. Cosmic Res., 2002, 40, 467-478.
    • (2002) Cosmic Res , vol.40 , pp. 467-478
    • Belokonov, V.1    Zabolotnov, M.2
  • 61
    • 0346040055 scopus 로고
    • A mechanisms for capture into resonance
    • Burns, T. and Jones, C. A mechanisms for capture into resonance. Phys. D, 1993, 69, 85-106.
    • (1993) Phys. D , vol.69 , pp. 85-106
    • Burns, T.1    Jones, C.2
  • 63
    • 0000803638 scopus 로고    scopus 로고
    • On adiabatic invariance in two-frequency systems. Hamiltonian systems with three or more degrees of freedom
    • Neishtadt, A. On adiabatic invariance in two-frequency systems. Hamiltonian systems with three or more degrees of freedom, NATO ASI Series C 533, 1999, pp. 193-212.
    • (1999) NATO ASI Series C , vol.533 , pp. 193-212
    • Neishtadt, A.1
  • 64
    • 0031356795 scopus 로고    scopus 로고
    • Resonance capture in a three degree-of-freedom mechanical system
    • Quinn, D. Resonance capture in a three degree-of-freedom mechanical system. Nonlinear Dyn., 1997, 14, 309-333.
    • (1997) Nonlinear Dyn , vol.14 , pp. 309-333
    • Quinn, D.1
  • 65
    • 0031272452 scopus 로고    scopus 로고
    • Transition to escape in a system of coupled oscillators
    • Quinn, D. Transition to escape in a system of coupled oscillators. Int. J. Non-Linear Mech., 1997, 32, 1193-1206.
    • (1997) Int. J. Non-Linear Mech , vol.32 , pp. 1193-1206
    • Quinn, D.1
  • 67
    • 10844250039 scopus 로고    scopus 로고
    • Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium
    • Gendelman, O. and Lamarque, C. Dynamics of linear oscillator coupled to strongly nonlinear attachment with multiple states of equilibrium. Chaos Solitons Fractals, 2005, 24(2), 501-509.
    • (2005) Chaos Solitons Fractals , vol.24 , Issue.2 , pp. 501-509
    • Gendelman, O.1    Lamarque, C.2
  • 71
    • 17144377911 scopus 로고    scopus 로고
    • Energy pumping with various nonlinear structures: Numerical evidences
    • Gourdon, E. and Lamarque, C. H. Energy pumping with various nonlinear structures: numerical evidences. Nonlinear Dyn., 2005, 40(3), 281-307.
    • (2005) Nonlinear Dyn , vol.40 , Issue.3 , pp. 281-307
    • Gourdon, E.1    Lamarque, C.H.2
  • 72
    • 0006174897 scopus 로고    scopus 로고
    • Study of a class of subharmonic motions using a non-smooth temporal transformation (NSTT)
    • Pilipchuk, V., Vakakis, A., and Azeez, M. Study of a class of subharmonic motions using a non-smooth temporal transformation (NSTT). Phys. D, 1997, 100, 145-164.
    • (1997) Phys. D , vol.100 , pp. 145-164
    • Pilipchuk, V.1    Vakakis, A.2    Azeez, M.3
  • 73
    • 0141993430 scopus 로고    scopus 로고
    • A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities
    • Gendelman, O., Manevitch, L., Vakakis, A., and Bergman, L. A degenerate bifurcation structure in the dynamics of coupled oscillators with essential stiffness nonlinearities. Nonlinear Dyn., 33, 2003, 1-10.
    • (2003) Nonlinear Dyn , vol.33 , pp. 1-10
    • Gendelman, O.1    Manevitch, L.2    Vakakis, A.3    Bergman, L.4
  • 74
    • 4644266024 scopus 로고    scopus 로고
    • Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment
    • Gendelman, O. V. Bifurcations of nonlinear normal modes of linear oscillator with strongly nonlinear damped attachment. Nonlinear Dyn., 2004, 37(2), 115-128.
    • (2004) Nonlinear Dyn , vol.37 , Issue.2 , pp. 115-128
    • Gendelman, O.V.1
  • 75
    • 33846212768 scopus 로고    scopus 로고
    • Nonlinear energy sink with uncertain parameters
    • Gourdon, E. and Lamarque, C. H. Nonlinear energy sink with uncertain parameters. J. Comput Nonlinear Dyn., 2006, 1(3), 187-195.
    • (2006) J. Comput Nonlinear Dyn , vol.1 , Issue.3 , pp. 187-195
    • Gourdon, E.1    Lamarque, C.H.2
  • 76
  • 77
    • 0142242151 scopus 로고    scopus 로고
    • Designing a linear structure with a local nonlinear attachment for enhanced energy pumping
    • Vakakis, A. Designing a linear structure with a local nonlinear attachment for enhanced energy pumping. Meccanica, 2003, 38, 677-686.
    • (2003) Meccanica , vol.38 , pp. 677-686
    • Vakakis, A.1
  • 78
    • 0038005081 scopus 로고    scopus 로고
    • Dynamics of linear discrete systems connected to local, essentially non-linear attachments
    • Vakakis, A., Manevitch, L., Gendelman, O., and Bergman, L. Dynamics of linear discrete systems connected to local, essentially non-linear attachments. J. Sound Vibr., 2003, 264, 559-577.
    • (2003) J. Sound Vibr , vol.264 , pp. 559-577
    • Vakakis, A.1    Manevitch, L.2    Gendelman, O.3    Bergman, L.4
  • 79
    • 3943067090 scopus 로고    scopus 로고
    • Isolated resonance captures and resonance capture cascades leading to single- or multi-mode passive energy pumping in damped coupled oscillators
    • Vakakis, A., McFarland, D. M., Bergman, L., Manevitch, L., and Gendelman, O. Isolated resonance captures and resonance capture cascades leading to single- or multi-mode passive energy pumping in damped coupled oscillators. Trans. ASME, J. Vibr. Acoust., 2004, 126, 235-244.
    • (2004) Trans. ASME, J. Vibr. Acoust , vol.126 , pp. 235-244
    • Vakakis, A.1    McFarland, D.M.2    Bergman, L.3    Manevitch, L.4    Gendelman, O.5
  • 80
    • 0037400036 scopus 로고    scopus 로고
    • Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment
    • Manevitch, L., Gendelman, O., Musinko,A.,Vakakis, A., and Bergman, L. Dynamic interaction of a semi-infinite linear chain of coupled oscillators with a strongly nonlinear end attachment. Phys. D, 2003, 178, 1-18.
    • (2003) Phys. D , vol.178 , pp. 1-18
    • Manevitch, L.1    Gendelman, O.2    Musinko, A.3    Vakakis, A.4    Bergman, L.5
  • 81
    • 7544243685 scopus 로고    scopus 로고
    • Transient dynamics of a dispersive elastic wave guide weakly coupled to an essentially nonlinear end attachment
    • Vakakis, A., Manevitch, L., Musienko, A., Kerschen, G., and Bergman, L. Transient dynamics of a dispersive elastic wave guide weakly coupled to an essentially nonlinear end attachment. Wave Motion, 2005, 41, 109-132.
    • (2005) Wave Motion , vol.41 , pp. 109-132
    • Vakakis, A.1    Manevitch, L.2    Musienko, A.3    Kerschen, G.4    Bergman, L.5
  • 82
    • 20444445977 scopus 로고    scopus 로고
    • Dynamics of coupled linear and essentially nonlinear oscillators with substantially different masses
    • Gendelman, O., Gorlov, D., Manevitch, L., and Musienko, A. Dynamics of coupled linear and essentially nonlinear oscillators with substantially different masses. J. Sound Vibr., 286, 2005, 1-19.
    • (2005) J. Sound Vibr , vol.286 , pp. 1-19
    • Gendelman, O.1    Gorlov, D.2    Manevitch, L.3    Musienko, A.4
  • 83
    • 18844436998 scopus 로고    scopus 로고
    • Lee, Y., Kerschen, G., Vakakis, A., Panagopoulos, P., Bergman, L., and McFarland, D. M. Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Phys. D, 2005, 204(1-2), 41-69.
    • Lee, Y., Kerschen, G., Vakakis, A., Panagopoulos, P., Bergman, L., and McFarland, D. M. Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Phys. D, 2005, 204(1-2), 41-69.
  • 84
    • 33645765956 scopus 로고    scopus 로고
    • Irreversible passive energy transfer in coupled oscillators with essential nonlinearity
    • Kerschen, G., Lee, Y., Vakakis, A., McFarland, D. M., and Bergman, L. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. SIAM J. Appl. Math., 2006, 66(2), 648-679.
    • (2006) SIAM J. Appl. Math , vol.66 , Issue.2 , pp. 648-679
    • Kerschen, G.1    Lee, Y.2    Vakakis, A.3    McFarland, D.M.4    Bergman, L.5
  • 85
    • 36248966520 scopus 로고    scopus 로고
    • Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity
    • Kerschen, G., Gendelman, O., Vakakis, A. F., Bergman, L. A., and McFarland, D. M. Impulsive periodic and quasi-periodic orbits of coupled oscillators with essential stiffness nonlinearity. Commun. Nonlinear Sci. Numer. Simul., 2008, 13(5), 959-978.
    • (2008) Commun. Nonlinear Sci. Numer. Simul , vol.13 , Issue.5 , pp. 959-978
    • Kerschen, G.1    Gendelman, O.2    Vakakis, A.F.3    Bergman, L.A.4    McFarland, D.M.5
  • 86
    • 33747355719 scopus 로고    scopus 로고
    • Parameters optimization for energy pumping in strongly non-homogeneous 2 DOF system
    • Manevitch, L., Gourdon, E., and Lamarque, C. Parameters optimization for energy pumping in strongly non-homogeneous 2 DOF system. Chaos Solitons Fractals, 2007, 31(4), 900-911.
    • (2007) Chaos Solitons Fractals , vol.31 , Issue.4 , pp. 900-911
    • Manevitch, L.1    Gourdon, E.2    Lamarque, C.3
  • 87
    • 33846041608 scopus 로고    scopus 로고
    • Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators
    • Kerschen, G., Kowtko, J., McFarland, D. M., Bergman, L., and Vakakis, A. Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators. Nonlinear Dyn., 2007, 47(1), 285-309.
    • (2007) Nonlinear Dyn , vol.47 , Issue.1 , pp. 285-309
    • Kerschen, G.1    Kowtko, J.2    McFarland, D.M.3    Bergman, L.4    Vakakis, A.5
  • 88
    • 33847292973 scopus 로고    scopus 로고
    • Complex dynamics and targeted energy transfer in linear oscillators coupled to multi-degree-of-freedom essentially nonlinear attachments
    • Tsakirtzis, S., Panagopoulos, P., Kerschen, G., Gendelman, O., Vakakis, A., and Bergman, L. Complex dynamics and targeted energy transfer in linear oscillators coupled to multi-degree-of-freedom essentially nonlinear attachments. Nonlinear Dyn., 2007, 48(3), 285-318.
    • (2007) Nonlinear Dyn , vol.48 , Issue.3 , pp. 285-318
    • Tsakirtzis, S.1    Panagopoulos, P.2    Kerschen, G.3    Gendelman, O.4    Vakakis, A.5    Bergman, L.6
  • 89
    • 4544381044 scopus 로고    scopus 로고
    • Transient resonant interactions of finite linear chains with essentially nonlinear end attachments leading to passive energy pumping
    • Panagopoulos, P. N., Vakakis, A. E, and Tsakirtzis, S. Transient resonant interactions of finite linear chains with essentially nonlinear end attachments leading to passive energy pumping. Int. J. Solids Struct., 2004, 41(22-23), 6505-6528.
    • (2004) Int. J. Solids Struct , vol.41 , Issue.22-23 , pp. 6505-6528
    • Panagopoulos, P.N.1    Vakakis, A.E.2    Tsakirtzis, S.3
  • 90
    • 0344308470 scopus 로고    scopus 로고
    • Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities
    • Vakakis, A. and Rand, R. Non-linear dynamics of a system of coupled oscillators with essential stiffness non-linearities. Int. J. Non-Linear Mech., 2004, 39, 1079-1091.
    • (2004) Int. J. Non-Linear Mech , vol.39 , pp. 1079-1091
    • Vakakis, A.1    Rand, R.2
  • 91
    • 18844398348 scopus 로고    scopus 로고
    • Energy pumping for a larger span of energy
    • Gourdon, E. and Lamarque, C. Energy pumping for a larger span of energy. J. Sound Vibr., 2005, 285(3), 711-720.
    • (2005) J. Sound Vibr , vol.285 , Issue.3 , pp. 711-720
    • Gourdon, E.1    Lamarque, C.2
  • 92
    • 34347348094 scopus 로고    scopus 로고
    • Broad-band passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment
    • Georgiades, F., Vakakis, A. F., and Kerschen, G. Broad-band passive targeted energy pumping from a linear dispersive rod to a lightweight essentially non-linear end attachment. Int. J. Non-Linear Mech., 2007, 42(5), 773-788.
    • (2007) Int. J. Non-Linear Mech , vol.42 , Issue.5 , pp. 773-788
    • Georgiades, F.1    Vakakis, A.F.2    Kerschen, G.3
  • 93
    • 34447515760 scopus 로고    scopus 로고
    • Multi-scaled analysis of the damped dynamics of an elastic rod with an essentially nonlinear end attachment
    • Panagopoulos, P., Georgiades, F., Tsaklrtzls, S., Vakakis, A. R, and Bergman, L. A. Multi-scaled analysis of the damped dynamics of an elastic rod with an essentially nonlinear end attachment. Int. J. Solids Struct., 2007, 44(1), 6256-6278.
    • (2007) Int. J. Solids Struct , vol.44 , Issue.1 , pp. 6256-6278
    • Panagopoulos, P.1    Georgiades, F.2    Tsaklrtzls, S.3    Vakakis, A.R.4    Bergman, L.A.5
  • 94
    • 34247130526 scopus 로고    scopus 로고
    • Broadband energy exchanges between a dissipative elastic rod and a multi-degree-of-freedom dissipative essentially non-linear attachment
    • Tsakirtzis, S., Vakakis, A. F., and Panagopoulos, P. Broadband energy exchanges between a dissipative elastic rod and a multi-degree-of-freedom dissipative essentially non-linear attachment. Int. J. Non-Linear Mech., 2007, 42(1), 36-57.
    • (2007) Int. J. Non-Linear Mech , vol.42 , Issue.1 , pp. 36-57
    • Tsakirtzis, S.1    Vakakis, A.F.2    Panagopoulos, P.3
  • 96
    • 15344351264 scopus 로고    scopus 로고
    • Experimental study of non-linear energy pumping occurring at a single fast frequency
    • McFarland, D. M., Bergman, L., and Vakakis, A. Experimental study of non-linear energy pumping occurring at a single fast frequency. Int. J. Non-Linear Mech., 2005, 40, 891-899.
    • (2005) Int. J. Non-Linear Mech , vol.40 , pp. 891-899
    • McFarland, D.M.1    Bergman, L.2    Vakakis, A.3
  • 97
    • 27544508422 scopus 로고    scopus 로고
    • Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits
    • Kerschen, G., Vakakis, A., Lee, Y., McFarland, D. M., Kowtko, J., and Bergman, L. Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 resonance manifold and transient bridging orbits. Nonlinear Dyn., 2005, 42(3), 283-303.
    • (2005) Nonlinear Dyn , vol.42 , Issue.3 , pp. 283-303
    • Kerschen, G.1    Vakakis, A.2    Lee, Y.3    McFarland, D.M.4    Kowtko, J.5    Bergman, L.6
  • 98
    • 36049032787 scopus 로고    scopus 로고
    • Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 2: Experiments
    • Lee, Y., Kerschen, G., McFarland, D. M., Hill, W., Nichkawde, C., Strganac, T., Bergman, L., and Vakakis, A. Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 2: experiments. AIAA J., 2007, 45(10), 2391-2400.
    • (2007) AIAA J , vol.45 , Issue.10 , pp. 2391-2400
    • Lee, Y.1    Kerschen, G.2    McFarland, D.M.3    Hill, W.4    Nichkawde, C.5    Strganac, T.6    Bergman, L.7    Vakakis, A.8
  • 99
    • 23744457575 scopus 로고    scopus 로고
    • Experimental investigation of targeted energy transfers in strongly and nonlinearly coupled oscillators
    • McFarland, D. M., Kerschen, G., Kowtko, J., Lee, Y., Bergman, L., and Vakakis, A. Experimental investigation of targeted energy transfers in strongly and nonlinearly coupled oscillators. J. Acoust Soc. Am., 2005, 118, 791-799.
    • (2005) J. Acoust Soc. Am , vol.118 , pp. 791-799
    • McFarland, D.M.1    Kerschen, G.2    Kowtko, J.3    Lee, Y.4    Bergman, L.5    Vakakis, A.6
  • 100
    • 33750620921 scopus 로고    scopus 로고
    • Experimental demonstration of transient resonance capture in a system of two coupled oscillators with essential stiffness nonlinearity
    • Kerschen, G., McFaland, D. M., Kowtko, J., Lee, Y., Bergman, L., and Vakakis, A. Experimental demonstration of transient resonance capture in a system of two coupled oscillators with essential stiffness nonlinearity. J. Sound Vibr., 2007, 299, 822-838.
    • (2007) J. Sound Vibr , vol.299 , pp. 822-838
    • Kerschen, G.1    McFaland, D.M.2    Kowtko, J.3    Lee, Y.4    Bergman, L.5    Vakakis, A.6
  • 101
    • 46749086920 scopus 로고    scopus 로고
    • Toward a fundamental understanding of the Hilbert-Huang transform
    • In the, St. Louis, Missouri, 30 January-2 February
    • Kerschen, G., Vakakis, A., Lee, Y., McFarland, D. M., and Bergman, L. Toward a fundamental understanding of the Hilbert-Huang transform. In the International Modal Analysis Conference XXIV, St. Louis, Missouri, 30 January-2 February 2006.
    • (2006) International Modal Analysis Conference , vol.24
    • Kerschen, G.1    Vakakis, A.2    Lee, Y.3    McFarland, D.M.4    Bergman, L.5
  • 102
    • 38149099112 scopus 로고    scopus 로고
    • Toward a fundamental understanding of the Hilbert-Huang transform in nonlinear structural dynamics
    • Kerschen, G., Vakakis, A., Lee, Y., McFarland, D. M., and Bergman, L. Toward a fundamental understanding of the Hilbert-Huang transform in nonlinear structural dynamics. J. Vibr. Control, 2008, 14(1-2), 77-105.
    • (2008) J. Vibr. Control , vol.14 , Issue.1-2 , pp. 77-105
    • Kerschen, G.1    Vakakis, A.2    Lee, Y.3    McFarland, D.M.4    Bergman, L.5
  • 103
    • 0037249682 scopus 로고    scopus 로고
    • Shock isolation through the use of nonlinear energy sinks
    • Vakakis, A. Shock isolation through the use of nonlinear energy sinks. J. Vibr. Control, 2003, 9, 79-93.
    • (2003) J. Vibr. Control , vol.9 , pp. 79-93
    • Vakakis, A.1
  • 104
    • 0037411966 scopus 로고    scopus 로고
    • Dual mode vibration isolation based on non-linear mode localization
    • Jiang, X. and Vakakis, A. R Dual mode vibration isolation based on non-linear mode localization. Int. J. Non-Linear Mech., 2003, 38(6), 837-850.
    • (2003) Int. J. Non-Linear Mech , vol.38 , Issue.6 , pp. 837-850
    • Jiang, X.1    Vakakis, A.R.2
  • 105
    • 23944478391 scopus 로고    scopus 로고
    • Shock isolation through passive energy pumping caused by nonsmooth nonlinearities
    • Georgiadis, F., Vakakis, A., McFarland, D. M., and Bergman, L. Shock isolation through passive energy pumping caused by nonsmooth nonlinearities. Int. J. Bifurcation Chaos, 2005, 15(6), 1989-2001.
    • (2005) Int. J. Bifurcation Chaos , vol.15 , Issue.6 , pp. 1989-2001
    • Georgiadis, F.1    Vakakis, A.2    McFarland, D.M.3    Bergman, L.4
  • 106
    • 0141924280 scopus 로고    scopus 로고
    • Steady-state passive nonlinear energy pumping in coupled oscillators: Theoretical and experimental results
    • Jiang, X., McFarland, D. M., Bergman, L., and Vakakis, A. Steady-state passive nonlinear energy pumping in coupled oscillators: theoretical and experimental results. Nonlinear Dyn., 2003, 33, 87-102.
    • (2003) Nonlinear Dyn , vol.33 , pp. 87-102
    • Jiang, X.1    McFarland, D.M.2    Bergman, L.3    Vakakis, A.4
  • 107
    • 34248142503 scopus 로고    scopus 로고
    • Quasi-periodic response regimes of linear oscillator coupled to nonlinear energy sink under periodic forcing
    • Gendelman, O. V. and Starosvetsky, Y. Quasi-periodic response regimes of linear oscillator coupled to nonlinear energy sink under periodic forcing. Trans. ASME, J. Appl. Mech., 2007, 74(2), 325-331.
    • (2007) Trans. ASME, J. Appl. Mech , vol.74 , Issue.2 , pp. 325-331
    • Gendelman, O.V.1    Starosvetsky, Y.2
  • 108
    • 33646672002 scopus 로고    scopus 로고
    • Quasiperiodic energy pumping in coupled oscillators under periodic forcing
    • Gendelman, O., Gourdon, E., and Lamarque, C. Quasiperiodic energy pumping in coupled oscillators under periodic forcing. J. Sound Vibr., 2006, 294(4-5), 651-662.
    • (2006) J. Sound Vibr , vol.294 , Issue.4-5 , pp. 651-662
    • Gendelman, O.1    Gourdon, E.2    Lamarque, C.3
  • 109
    • 35448951404 scopus 로고    scopus 로고
    • Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: Description of response regimes
    • Gendelman, O., Starosvetsky, Y., and Feldman, M. Attractors of harmonically forced linear oscillator with attached nonlinear energy sink I: description of response regimes. Nonlinear Dyn., 2008, 51(1-2), 31-46.
    • (2008) Nonlinear Dyn , vol.51 , Issue.1-2 , pp. 31-46
    • Gendelman, O.1    Starosvetsky, Y.2    Feldman, M.3
  • 110
    • 35448961703 scopus 로고    scopus 로고
    • Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of anonlinear vibration absorber
    • Starosvetsky, Y. and Gendelman, O. Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: optimization of anonlinear vibration absorber. Nonlinear Dyn., 2008, 51(1-2), 47-57.
    • (2008) Nonlinear Dyn , vol.51 , Issue.1-2 , pp. 47-57
    • Starosvetsky, Y.1    Gendelman, O.2
  • 111
    • 33845885140 scopus 로고    scopus 로고
    • Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results
    • Gourdon, E., Alexander, N., Taylor, C., Lamarque, C., and Pernot, S. Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: theoretical and experimental results. J. Sound Vibr., 2007, 300(3-5), 522-551.
    • (2007) J. Sound Vibr , vol.300 , Issue.3-5 , pp. 522-551
    • Gourdon, E.1    Alexander, N.2    Taylor, C.3    Lamarque, C.4    Pernot, S.5
  • 112
    • 33144472123 scopus 로고    scopus 로고
    • Suppression of limit cycle oscillations in the van der Pol oscillator by means of passive nonlinear energy sinks (NESs)
    • Lee, Y., Vakakis, A., Bergman, L., and McFarland, D. M. Suppression of limit cycle oscillations in the van der Pol oscillator by means of passive nonlinear energy sinks (NESs). Struct. Control Health Monit., 2006, 13(1), 41-75.
    • (2006) Struct. Control Health Monit , vol.13 , Issue.1 , pp. 41-75
    • Lee, Y.1    Vakakis, A.2    Bergman, L.3    McFarland, D.M.4
  • 113
    • 28444455535 scopus 로고    scopus 로고
    • Triggering mechanisms of limit cycle oscillations in a two-degree-of-freedom wing flutter model
    • Lee, Y., Vakakis, A., Bergman, L., McFarland, D. M., and Kerschen, G. Triggering mechanisms of limit cycle oscillations in a two-degree-of-freedom wing flutter model. J. Fluids Struct., 2005, 21(5-7), 485-529.
    • (2005) J. Fluids Struct , vol.21 , Issue.5-7 , pp. 485-529
    • Lee, Y.1    Vakakis, A.2    Bergman, L.3    McFarland, D.M.4    Kerschen, G.5
  • 114
    • 34047260407 scopus 로고    scopus 로고
    • Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 1: Theory
    • Lee, Y., Vakakis, A., Bergman, L., McFarland, D. M., and Kerschen, G. Suppressing aeroelastic instability using broadband passive targeted energy transfers, part 1: theory. AIAA J., 2007, 45(3), 693-711.
    • (2007) AIAA J , vol.45 , Issue.3 , pp. 693-711
    • Lee, Y.1    Vakakis, A.2    Bergman, L.3    McFarland, D.M.4    Kerschen, G.5
  • 115
    • 45849105905 scopus 로고    scopus 로고
    • Enhancing robustness of aeroelastic instability suppression using multi-degree-of-freedom nonlinear energy sinks
    • in press
    • Lee, Y., Vakakis, A., Bergman, L., McFarland, D. M., and Kerschen, G. Enhancing robustness of aeroelastic instability suppression using multi-degree-of-freedom nonlinear energy sinks. AIAA J., 2008 (in press).
    • (2008) AIAA J
    • Lee, Y.1    Vakakis, A.2    Bergman, L.3    McFarland, D.M.4    Kerschen, G.5
  • 116
    • 35148872089 scopus 로고    scopus 로고
    • Targeted energy transfers in vibro-impact oscillators for seismic mitigation
    • Nucera, F., Vakakis, A., McFarland, D. M., Bergman, L., and Kerschen, G. Targeted energy transfers in vibro-impact oscillators for seismic mitigation. Nonlinear Dyn., 2007, 50(3), 651-677.
    • (2007) Nonlinear Dyn , vol.50 , Issue.3 , pp. 651-677
    • Nucera, F.1    Vakakis, A.2    McFarland, D.M.3    Bergman, L.4    Kerschen, G.5
  • 117
    • 41049089825 scopus 로고    scopus 로고
    • Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Computational results
    • in press
    • Nucera, F., McFarland, D. M., Bergman, L., and Vakakis, A. Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: computational results. J. Sound Vibr., 2008 (in press).
    • (2008) J. Sound Vibr
    • Nucera, F.1    McFarland, D.M.2    Bergman, L.3    Vakakis, A.4
  • 118
    • 41049089825 scopus 로고    scopus 로고
    • Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Experimental results
    • Nucera, F., Iacono, F. L., McFarland, D. M., Bergman, L., and Vakakis, A. Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: experimental results. J. Sound Vibr., 2008, 313(1-2), 57-76.
    • (2008) J. Sound Vibr , vol.313 , Issue.1-2 , pp. 57-76
    • Nucera, F.1    Iacono, F.L.2    McFarland, D.M.3    Bergman, L.4    Vakakis, A.5
  • 122
    • 28444459308 scopus 로고
    • On the validity of the two-timing method for large times
    • Keener, J. On the validity of the two-timing method for large times. SIAM J. M. Anal., 1977, 8, 1067-1091.
    • (1977) SIAM J. M. Anal , vol.8 , pp. 1067-1091
    • Keener, J.1
  • 123
    • 0038990221 scopus 로고
    • Asymptotic approximations and extension of time-scales
    • Sanders, J. Asymptotic approximations and extension of time-scales. SIAM. Math. Anal., 1980, 11, 758-770.
    • (1980) SIAM. Math. Anal , vol.11 , pp. 758-770
    • Sanders, J.1
  • 124
    • 0026845576 scopus 로고
    • Adiabatic invariance and transient resonance in very slowly varying oscillatory Hamiltonian systems
    • Bosley, D. and Kevorkian, J. Adiabatic invariance and transient resonance in very slowly varying oscillatory Hamiltonian systems. SIAM J. Appl. Math., 1992, 52, 494-527.
    • (1992) SIAM J. Appl. Math , vol.52 , pp. 494-527
    • Bosley, D.1    Kevorkian, J.2
  • 126
    • 0015055674 scopus 로고
    • Passage through resonance for a one-dimensional oscillator with slowly varying frequency
    • Kevorkian, J. Passage through resonance for a one-dimensional oscillator with slowly varying frequency. SIAM J. Appl. Math., 1971, 20, 364-373.
    • (1971) SIAM J. Appl. Math , vol.20 , pp. 364-373
    • Kevorkian, J.1
  • 127
    • 0001123735 scopus 로고
    • Passage through a separatrix in a resonance problem with a slowly-varying parameter
    • Neishtadt, A. Passage through a separatrix in a resonance problem with a slowly-varying parameter. Prikl. Mat. Mekh, 1975, 39, 621-632.
    • (1975) Prikl. Mat. Mekh , vol.39 , pp. 621-632
    • Neishtadt, A.1
  • 128
    • 4243107663 scopus 로고
    • On the passage through resonance
    • Sanders, J. On the passage through resonance. SIAM J. Math. Anal., 1979, 10, 1220-1243.
    • (1979) SIAM J. Math. Anal , vol.10 , pp. 1220-1243
    • Sanders, J.1
  • 130
    • 46749138938 scopus 로고    scopus 로고
    • Bakhtin, V. Averaging in multifrequency systems. Funktsional'nyi Analiz i Ego Prilozheniya, 1986, 20, 1-7 (translated).
    • Bakhtin, V. Averaging in multifrequency systems. Funktsional'nyi Analiz i Ego Prilozheniya, 1986, 20, 1-7 (translated).
  • 131
    • 28444438961 scopus 로고
    • Averaging in multifrequency systems
    • Dodson, M., Rynne, B., and Vickers, J. Averaging in multifrequency systems. Nonlinearity, 1989, 2, 137-148.
    • (1989) Nonlinearity , vol.2 , pp. 137-148
    • Dodson, M.1    Rynne, B.2    Vickers, J.3
  • 133
    • 0026204379 scopus 로고
    • Averaging methods for the phase shift of arbitrarily perturbed strongly nonlinear oscillators with an application to capture
    • Bourland, F., Haberman, R., and Kath, W. Averaging methods for the phase shift of arbitrarily perturbed strongly nonlinear oscillators with an application to capture. SIAM J. Appl. Math., 1991, 51, 1150-1167.
    • (1991) SIAM J. Appl. Math , vol.51 , pp. 1150-1167
    • Bourland, F.1    Haberman, R.2    Kath, W.3
  • 134
    • 7544229802 scopus 로고    scopus 로고
    • The simplest resonance capture problem, using harmonic balance based averaging
    • Nandakumar, K. and Chatterjee, A. The simplest resonance capture problem, using harmonic balance based averaging. Nonlinear Dyn., 2004, 37, 271-284.
    • (2004) Nonlinear Dyn , vol.37 , pp. 271-284
    • Nandakumar, K.1    Chatterjee, A.2
  • 135
    • 0035410003 scopus 로고    scopus 로고
    • The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables
    • Manevitch, L. The description of localized normal modes in a chain of nonlinear coupled oscillators using complex variables. Nonlinear Dyn., 2001, 25, 95-109.
    • (2001) Nonlinear Dyn , vol.25 , pp. 95-109
    • Manevitch, L.1
  • 136
    • 0030125209 scopus 로고    scopus 로고
    • Analytical study of vibrating systems with strong non-linearities by employing saw-tooth time transformation
    • Pilipchuk, V. Analytical study of vibrating systems with strong non-linearities by employing saw-tooth time transformation. J. Sound Vibr., 1996, 192, 43-64.
    • (1996) J. Sound Vibr , vol.192 , pp. 43-64
    • Pilipchuk, V.1
  • 137
    • 0032119680 scopus 로고    scopus 로고
    • Sensitive dependence on initial conditions of strongly nonlinear periodic orbits of the forced pendulum
    • Pilipchuk, V., Vakakis, A., and Azeez, M. Sensitive dependence on initial conditions of strongly nonlinear periodic orbits of the forced pendulum. Nonlinear Dyn., 1998, 16, 223-237.
    • (1998) Nonlinear Dyn , vol.16 , pp. 223-237
    • Pilipchuk, V.1    Vakakis, A.2    Azeez, M.3
  • 138
    • 0032662233 scopus 로고    scopus 로고
    • Application of special nonsmooth temporal transformations to linear and nonlinear systems under discontinuous and impulsive excitation
    • Pilipchuk, V. Application of special nonsmooth temporal transformations to linear and nonlinear systems under discontinuous and impulsive excitation. Nonlinear Dyn., 1999, 18, 203-234.
    • (1999) Nonlinear Dyn , vol.18 , pp. 203-234
    • Pilipchuk, V.1
  • 139
    • 0036643120 scopus 로고    scopus 로고
    • Non-smooth time decomposition for non-linear models driven by random pulses
    • Pilipchuk, V. Non-smooth time decomposition for non-linear models driven by random pulses. Chaos Solitons Fractals, 2002, 14, 129-143.
    • (2002) Chaos Solitons Fractals , vol.14 , pp. 129-143
    • Pilipchuk, V.1
  • 140
    • 23944457609 scopus 로고    scopus 로고
    • Temporal transformations and visualization diagrams for nonsmooth periodic motions
    • Pilipchuk, V. Temporal transformations and visualization diagrams for nonsmooth periodic motions. Int. J. Bifurcation Chaos, 2005, 15(6), 1879-1899.
    • (2005) Int. J. Bifurcation Chaos , vol.15 , Issue.6 , pp. 1879-1899
    • Pilipchuk, V.1
  • 146
    • 8744230577 scopus 로고    scopus 로고
    • MATCONT: A Matlab Package for numerical bifurcation analysis of ODEs
    • Dhooge, A., Govaerts, W., and Kuznetsov, Y. MATCONT: a Matlab Package for numerical bifurcation analysis of ODEs. ACM Trans. Math. Softw., 2003, 29(2), 141-164.
    • (2003) ACM Trans. Math. Softw , vol.29 , Issue.2 , pp. 141-164
    • Dhooge, A.1    Govaerts, W.2    Kuznetsov, Y.3
  • 148
    • 0001174857 scopus 로고    scopus 로고
    • Introduction to frequency map analysis. Hamiltonian systems with three or more degrees of freedom
    • Laskar, J. Introduction to frequency map analysis. Hamiltonian systems with three or more degrees of freedom, NATO ASI Series C 533, 1999, pp. 134-150.
    • (1999) NATO ASI Series C , vol.533 , pp. 134-150
    • Laskar, J.1
  • 149
    • 43949162797 scopus 로고
    • Frequency analysis for multi-dimensional systems. Global dynamics and diffusion
    • Laskar, J. Frequency analysis for multi-dimensional systems. Global dynamics and diffusion. Phys. D, 1993, 67, 257-281.
    • (1993) Phys. D , vol.67 , pp. 257-281
    • Laskar, J.1
  • 150
    • 0038112233 scopus 로고    scopus 로고
    • Time-frequency analysis of chaotic systems
    • Chandre, C., Wiggins, S., and Uzer, T. Time-frequency analysis of chaotic systems. Phys. D, 2003, 181, 171-196.
    • (2003) Phys. D , vol.181 , pp. 171-196
    • Chandre, C.1    Wiggins, S.2    Uzer, T.3
  • 151
    • 1142266386 scopus 로고    scopus 로고
    • Time-frequency analysis of the restricted three-body problem: Transport and resonance transitions
    • Vela-Arevalo, L. and Marsden, J. Time-frequency analysis of the restricted three-body problem: transport and resonance transitions. Class. Quantum Gravity, 2004, 21, S351-S375.
    • (2004) Class. Quantum Gravity , vol.21
    • Vela-Arevalo, L.1    Marsden, J.2
  • 152
    • 0035272569 scopus 로고    scopus 로고
    • Wavelet analysis to characterise non-linearities and predict limit cycles of an aeroelastic system
    • Lind, R., Snyder, K., and Brenner, M. Wavelet analysis to characterise non-linearities and predict limit cycles of an aeroelastic system. Mech. Syst. Signal Process., 2001, 15, 337-356.
    • (2001) Mech. Syst. Signal Process , vol.15 , pp. 337-356
    • Lind, R.1    Snyder, K.2    Brenner, M.3
  • 153
    • 0031553183 scopus 로고    scopus 로고
    • Non-linear free vibration identification via the Hilbert transform
    • Feldman, M. Non-linear free vibration identification via the Hilbert transform. J. Sound Vibr., 1997, 208, 475-189.
    • (1997) J. Sound Vibr , vol.208 , pp. 475-189
    • Feldman, M.1
  • 154
    • 24344493469 scopus 로고    scopus 로고
    • Damage size estimation by the continuous wavelet ridge analysis of dispersive bending waves in a beam
    • Kim, I. and Kim, Y. Damage size estimation by the continuous wavelet ridge analysis of dispersive bending waves in a beam. J. Sound Vibr., 2005, 287, 707-722.
    • (2005) J. Sound Vibr , vol.287 , pp. 707-722
    • Kim, I.1    Kim, Y.2
  • 155
    • 0032121362 scopus 로고    scopus 로고
    • Identification of non-linear systems using multi-scale ridges and skeletons of the wavelet transform
    • Staszewski, W. Identification of non-linear systems using multi-scale ridges and skeletons of the wavelet transform. J. Sound Vibr., 1998, 214, 639-658.
    • (1998) J. Sound Vibr , vol.214 , pp. 639-658
    • Staszewski, W.1
  • 156
    • 0033489494 scopus 로고    scopus 로고
    • A new view of nonlinear water waves: The Hilbert spectrum
    • Huang, N., Shen, Z., and Long, S. A new view of nonlinear water waves: the Hilbert spectrum. Annu. Rev. Fluid Mech., 1999, 31, 417-457.
    • (1999) Annu. Rev. Fluid Mech , vol.31 , pp. 417-457
    • Huang, N.1    Shen, Z.2    Long, S.3
  • 158
    • 33845388316 scopus 로고    scopus 로고
    • Application of support vector regression machines to the processing of end effects of Hilbert-Huang transform
    • Cheng, J., Yu, D., and Yang, Y. Application of support vector regression machines to the processing of end effects of Hilbert-Huang transform. Mech. Syst. Signal Process., 2007, 21(3), 1197-1211.
    • (2007) Mech. Syst. Signal Process , vol.21 , Issue.3 , pp. 1197-1211
    • Cheng, J.1    Yu, D.2    Yang, Y.3
  • 159
    • 31044443577 scopus 로고    scopus 로고
    • Research on the intrinsic mode function (IMF) criterion in EMD method
    • Cheng, J., Yu, D., and Yang, Y. Research on the intrinsic mode function (IMF) criterion in EMD method. Mech. Syst. Signal Process., 2006, 20, 817-824.
    • (2006) Mech. Syst. Signal Process , vol.20 , pp. 817-824
    • Cheng, J.1    Yu, D.2    Yang, Y.3
  • 160
    • 19944416567 scopus 로고    scopus 로고
    • Dynamic response of the trinity river relief bridge to controlled pile damage: Modeling and experimental data analysis comparing Fourier and Hilbert-Huang techniques
    • Zhang, R., King, R., Olson, L., and Xu, Y.-L. Dynamic response of the trinity river relief bridge to controlled pile damage: modeling and experimental data analysis comparing Fourier and Hilbert-Huang techniques. J. Sound Vibr., 2005, 285, 1049-1070.
    • (2005) J. Sound Vibr , vol.285 , pp. 1049-1070
    • Zhang, R.1    King, R.2    Olson, L.3    Xu, Y.-L.4
  • 161
    • 4344660716 scopus 로고    scopus 로고
    • Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings
    • Cheng, J., Yu, D., and Yang, Y. Application of EMD method and Hilbert spectrum to the fault diagnosis of roller bearings. Mech. Syst. Signal Process., 2005, 19, 259-270.
    • (2005) Mech. Syst. Signal Process , vol.19 , pp. 259-270
    • Cheng, J.1    Yu, D.2    Yang, Y.3
  • 163
    • 0022191004 scopus 로고
    • The calculation of strongly nonlinear systems close to vibration-impact systems
    • Pilipchuk, V. The calculation of strongly nonlinear systems close to vibration-impact systems. Prikl. Mat. Mekh., 1985, 49, 572-578.
    • (1985) Prikl. Mat. Mekh , vol.49 , pp. 572-578
    • Pilipchuk, V.1
  • 164
    • 0003208393 scopus 로고
    • Global solution branches of two point boundary value problems
    • Springer-Verlag, Heidelberg, NewYork
    • Schaaf, R. Global solution branches of two point boundary value problems, lecture notes in mathematics, vol. 1458, 1990 (Springer-Verlag, Heidelberg, NewYork).
    • (1990) lecture notes in mathematics , vol.1458
    • Schaaf, R.1
  • 167
    • 0003746340 scopus 로고    scopus 로고
    • Active control of forced and unforced structural vibration
    • Salemi, P., Golnaraghi, M., and Heppler, G. Active control of forced and unforced structural vibration. J. Sound Vibr., 1997, 208, 15-32.
    • (1997) J. Sound Vibr , vol.208 , pp. 15-32
    • Salemi, P.1    Golnaraghi, M.2    Heppler, G.3
  • 168
    • 85004210148 scopus 로고
    • A nonparametric identification technique for nonlinear dynamic systems
    • Masri, S. and Caughey, T. A nonparametric identification technique for nonlinear dynamic systems. Trans. ASME, J. Appl. Mech., 1979, 46, 433-141.
    • (1979) Trans. ASME, J. Appl. Mech , vol.46 , pp. 433-141
    • Masri, S.1    Caughey, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.