-
1
-
-
85007654799
-
Coupling of substructures for dynamic analysis
-
Craig R., and Bampton M. Coupling of substructures for dynamic analysis. AIAA Journal 6 (1968) 1313-1319
-
(1968)
AIAA Journal
, vol.6
, pp. 1313-1319
-
-
Craig, R.1
Bampton, M.2
-
4
-
-
53849095227
-
-
S.W. Doebling, C.R. Farrar, M.B. Prime, D.W. Shevitz, Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review, Los Alamos National Laboratory Report LA-13070-MS, 1996.
-
S.W. Doebling, C.R. Farrar, M.B. Prime, D.W. Shevitz, Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review, Los Alamos National Laboratory Report LA-13070-MS, 1996.
-
-
-
-
5
-
-
28844494949
-
Past, present and future of nonlinear system identification in structural dynamics
-
Kerschen G., Worden K., Vakakis A.F., and Golinval J.C. Past, present and future of nonlinear system identification in structural dynamics. Mechanical Systems and Signal Processing 20 (2006) 505-592
-
(2006)
Mechanical Systems and Signal Processing
, vol.20
, pp. 505-592
-
-
Kerschen, G.1
Worden, K.2
Vakakis, A.F.3
Golinval, J.C.4
-
6
-
-
0037659155
-
Normal modes of nonlinear dual-mode systems
-
Rosenberg R.M. Normal modes of nonlinear dual-mode systems. Journal of Applied Mechanics 27 (1960) 263-268
-
(1960)
Journal of Applied Mechanics
, vol.27
, pp. 263-268
-
-
Rosenberg, R.M.1
-
7
-
-
85024529756
-
The normal modes of nonlinear n-degree-of-freedom systems
-
Rosenberg R.M. The normal modes of nonlinear n-degree-of-freedom systems. Journal of Applied Mechanics 29 (1962) 7-14
-
(1962)
Journal of Applied Mechanics
, vol.29
, pp. 7-14
-
-
Rosenberg, R.M.1
-
8
-
-
33645049419
-
On nonlinear vibrations of systems with many degrees of freedom
-
Rosenberg R.M. On nonlinear vibrations of systems with many degrees of freedom. Advances in Applied Mechanics 9 (1966) 155-242
-
(1966)
Advances in Applied Mechanics
, vol.9
, pp. 155-242
-
-
Rosenberg, R.M.1
-
9
-
-
0001442060
-
Nonlinear normal modes in two-degree-of-freedom systems
-
Rand R. Nonlinear normal modes in two-degree-of-freedom systems. Journal of Applied Mechanics 38 (1971) 561
-
(1971)
Journal of Applied Mechanics
, vol.38
, pp. 561
-
-
Rand, R.1
-
10
-
-
0015110725
-
A higher-order approximation for nonlinear normal modes in two-degree-of-freedom systems
-
Rand R. A higher-order approximation for nonlinear normal modes in two-degree-of-freedom systems. International Journal of Non-Linear Mechanics 6 (1971) 545-547
-
(1971)
International Journal of Non-Linear Mechanics
, vol.6
, pp. 545-547
-
-
Rand, R.1
-
12
-
-
0000405689
-
On periodic solutions close to rectilinear normal vibration modes
-
Manevitch L.I., and Mikhlin Y.V. On periodic solutions close to rectilinear normal vibration modes. Prikladnaya Matematika I Mekhanika 36 (1972) 1051-1058
-
(1972)
Prikladnaya Matematika I Mekhanika
, vol.36
, pp. 1051-1058
-
-
Manevitch, L.I.1
Mikhlin, Y.V.2
-
13
-
-
53849100425
-
-
A.F. Vakakis, Analysis and identification of linear and nonlinear normal modes in vibrating systems, Ph.D. Dissertation, California Institute of Technology, 1990.
-
A.F. Vakakis, Analysis and identification of linear and nonlinear normal modes in vibrating systems, Ph.D. Dissertation, California Institute of Technology, 1990.
-
-
-
-
14
-
-
0025638281
-
Analytical study of similar normal modes and their bifurcations in a class of strongly nonlinear systems
-
Caughey T.K., Vakakis A.F., and Sivo J.M. Analytical study of similar normal modes and their bifurcations in a class of strongly nonlinear systems. International Journal of Non-Linear Mechanics 25 (1990) 521-533
-
(1990)
International Journal of Non-Linear Mechanics
, vol.25
, pp. 521-533
-
-
Caughey, T.K.1
Vakakis, A.F.2
Sivo, J.M.3
-
15
-
-
0026938396
-
Non-similar normal oscillations in a strongly non-linear discrete system
-
Vakakis A.F. Non-similar normal oscillations in a strongly non-linear discrete system. Journal of Sound and Vibration 159 (1992) 341-361
-
(1992)
Journal of Sound and Vibration
, vol.159
, pp. 341-361
-
-
Vakakis, A.F.1
-
16
-
-
0028461550
-
An energy-based formulation for computing nonlinear normal-modes in undamped continuous systems
-
King M.E., and Vakakis A.F. An energy-based formulation for computing nonlinear normal-modes in undamped continuous systems. Journal of Vibration and Acoustics 116 (1994) 332-340
-
(1994)
Journal of Vibration and Acoustics
, vol.116
, pp. 332-340
-
-
King, M.E.1
Vakakis, A.F.2
-
17
-
-
84950250600
-
-
Wiley, New York
-
Vakakis A.F., Manevitch L.I., Mikhlin Y.V., Pilipchuk V.N., and Zevin A.A. Normal Modes and Localization in Nonlinear Systems (1996), Wiley, New York
-
(1996)
Normal Modes and Localization in Nonlinear Systems
-
-
Vakakis, A.F.1
Manevitch, L.I.2
Mikhlin, Y.V.3
Pilipchuk, V.N.4
Zevin, A.A.5
-
18
-
-
0030780655
-
Non-linear normal modes and their applications in vibration theory: an overview
-
Vakakis A.F. Non-linear normal modes and their applications in vibration theory: an overview. Mechanical Systems and Signal Processing 11 (1997) 3-22
-
(1997)
Mechanical Systems and Signal Processing
, vol.11
, pp. 3-22
-
-
Vakakis, A.F.1
-
19
-
-
0026420003
-
Non-linear normal modes and invariant manifolds
-
Shaw S.W., and Pierre C. Non-linear normal modes and invariant manifolds. Journal of Sound and Vibration 150 (1991) 170-173
-
(1991)
Journal of Sound and Vibration
, vol.150
, pp. 170-173
-
-
Shaw, S.W.1
Pierre, C.2
-
20
-
-
53849136345
-
-
S.W. Shaw, C. Pierre, On nonlinear normal modes, ASME Winter Annual Meeting, 1992.
-
S.W. Shaw, C. Pierre, On nonlinear normal modes, ASME Winter Annual Meeting, 1992.
-
-
-
-
21
-
-
0027911991
-
Normal modes for non-linear vibratory systems
-
Shaw S.W., and Pierre C. Normal modes for non-linear vibratory systems. Journal of Sound and Vibration 164 (1993) 85-124
-
(1993)
Journal of Sound and Vibration
, vol.164
, pp. 85-124
-
-
Shaw, S.W.1
Pierre, C.2
-
22
-
-
0028203123
-
Normal modes of vibration for non-linear continuous systems
-
Shaw S.W., and Pierre C. Normal modes of vibration for non-linear continuous systems. Journal of Sound and Vibration 169 (1994) 319-347
-
(1994)
Journal of Sound and Vibration
, vol.169
, pp. 319-347
-
-
Shaw, S.W.1
Pierre, C.2
-
23
-
-
0026223029
-
Analysis of nonlinear dynamic systems by the normal form theory
-
Jézéquel L., and Lamarque C.H. Analysis of nonlinear dynamic systems by the normal form theory. Journal of Sound and Vibration 149 (1991) 429-459
-
(1991)
Journal of Sound and Vibration
, vol.149
, pp. 429-459
-
-
Jézéquel, L.1
Lamarque, C.H.2
-
24
-
-
0029292406
-
Nonlinear normal modes of a continuous system with quadratic nonlinearities
-
Nayfeh A.H., and Nayfeh S.A. Nonlinear normal modes of a continuous system with quadratic nonlinearities. Journal of Vibration and Acoustics 117 (1995) 199-205
-
(1995)
Journal of Vibration and Acoustics
, vol.117
, pp. 199-205
-
-
Nayfeh, A.H.1
Nayfeh, S.A.2
-
25
-
-
0030230830
-
Normal vibrations of a general class of conservative oscillators
-
Mikhlin Y.V. Normal vibrations of a general class of conservative oscillators. Nonlinear Dynamics 11 (1996) 1-15
-
(1996)
Nonlinear Dynamics
, vol.11
, pp. 1-15
-
-
Mikhlin, Y.V.1
-
26
-
-
0000812148
-
Non-linear normal modes of a continuous system
-
Qaisi M.I. Non-linear normal modes of a continuous system. Journal of Sound and Vibration 209 (1998) 561-569
-
(1998)
Journal of Sound and Vibration
, vol.209
, pp. 561-569
-
-
Qaisi, M.I.1
-
27
-
-
0035410008
-
Performance of nonlinear vibration absorbers for multi-degrees-of-freedom systems using nonlinear normal modes
-
Agnes G.S., and Inman D.J. Performance of nonlinear vibration absorbers for multi-degrees-of-freedom systems using nonlinear normal modes. Nonlinear Dynamics 25 (2001) 275-292
-
(2001)
Nonlinear Dynamics
, vol.25
, pp. 275-292
-
-
Agnes, G.S.1
Inman, D.J.2
-
28
-
-
0035410007
-
Nonlinear normal modes of a parametrically excited cantilever beam
-
Yabuno H., and Nayfeh A.H. Nonlinear normal modes of a parametrically excited cantilever beam. Nonlinear Dynamics 25 (2001) 65-77
-
(2001)
Nonlinear Dynamics
, vol.25
, pp. 65-77
-
-
Yabuno, H.1
Nayfeh, A.H.2
-
29
-
-
0037304951
-
Nonlinear dynamic analysis of MEMS switches by nonlinear modal analysis
-
Xie W.C., Lee H.P., and Lim S.P. Nonlinear dynamic analysis of MEMS switches by nonlinear modal analysis. Nonlinear Dynamics 31 (2003) 243-256
-
(2003)
Nonlinear Dynamics
, vol.31
, pp. 243-256
-
-
Xie, W.C.1
Lee, H.P.2
Lim, S.P.3
-
30
-
-
10044260810
-
Non-linear normal modes of a simply supported beam: continuous system and finite-element models
-
Mazzilli C.E.N., Soares M.E.S., and Baracho Neto G.P. Non-linear normal modes of a simply supported beam: continuous system and finite-element models. Computer and Structures 82 (2004) 2683-2691
-
(2004)
Computer and Structures
, vol.82
, pp. 2683-2691
-
-
Mazzilli, C.E.N.1
Soares, M.E.S.2
Baracho Neto, G.P.3
-
31
-
-
4644266024
-
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 Dynamics 37 (2004) 115-128
-
(2004)
Nonlinear Dynamics
, vol.37
, pp. 115-128
-
-
Gendelman, O.V.1
-
33
-
-
18844436998
-
Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment
-
Lee Y.S., Kerschen G., Vakakis A.F., Panagopoulos P.N., Bergman L.A., and McFarland D.M. Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment. Physica D 204 (2005) 41-69
-
(2005)
Physica D
, vol.204
, pp. 41-69
-
-
Lee, Y.S.1
Kerschen, G.2
Vakakis, A.F.3
Panagopoulos, P.N.4
Bergman, L.A.5
McFarland, D.M.6
-
34
-
-
18444364818
-
Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds
-
Sinha S.C., Redkar S., and Butcher E.A. Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds. Journal of Sound and Vibration 284 (2005) 985-1002
-
(2005)
Journal of Sound and Vibration
, vol.284
, pp. 985-1002
-
-
Sinha, S.C.1
Redkar, S.2
Butcher, E.A.3
-
36
-
-
17644394255
-
Short wavelength dynamics of the system of nonlinear oscillators coupled by stretched weightless beam
-
Musienko A.I., and Manevitch L.I. Short wavelength dynamics of the system of nonlinear oscillators coupled by stretched weightless beam. Chaos, Solitons and Fractals 26 (2005) 107-116
-
(2005)
Chaos, Solitons and Fractals
, vol.26
, pp. 107-116
-
-
Musienko, A.I.1
Manevitch, L.I.2
-
37
-
-
33745872220
-
Nonlinear vibration modes in micro-resonator arrays
-
Dick A.J., Balachandran B., and Mote C.D. Nonlinear vibration modes in micro-resonator arrays. Smart Structures and Materials 2006: Modeling, Signal Processing, and Control, Proceedings of the SPIE vol. 6166 (2006) 206-217
-
(2006)
Smart Structures and Materials 2006: Modeling, Signal Processing, and Control, Proceedings of the SPIE
, vol.6166
, pp. 206-217
-
-
Dick, A.J.1
Balachandran, B.2
Mote, C.D.3
-
39
-
-
33748795371
-
Nonlinear normal modes for damped geometrically nonlinear systems: application to reduced-order modelling of harmonically forced structures
-
Touzé C., and Amabili M. Nonlinear normal modes for damped geometrically nonlinear systems: application to reduced-order modelling of harmonically forced structures. Journal of Sound and Vibration 298 (2006) 958-981
-
(2006)
Journal of Sound and Vibration
, vol.298
, pp. 958-981
-
-
Touzé, C.1
Amabili, M.2
-
40
-
-
33645765956
-
Irreversible passive energy transfer in coupled oscillators with essential nonlinearity
-
Kerschen G., Lee Y.S., Vakakis A.F., McFarland D.M., and Bergman L.A. Irreversible passive energy transfer in coupled oscillators with essential nonlinearity. SIAM Journal on Applied Mathematics 66 (2006) 648-679
-
(2006)
SIAM Journal on Applied Mathematics
, vol.66
, pp. 648-679
-
-
Kerschen, G.1
Lee, Y.S.2
Vakakis, A.F.3
McFarland, D.M.4
Bergman, L.A.5
-
41
-
-
33845865823
-
An amplitude-phase formulation for nonlinear modes and limit cycles through invariant manifolds
-
Bellizzi S., and Bouc R. An amplitude-phase formulation for nonlinear modes and limit cycles through invariant manifolds. Journal of Sound and Vibration 300 (2007) 896-915
-
(2007)
Journal of Sound and Vibration
, vol.300
, pp. 896-915
-
-
Bellizzi, S.1
Bouc, R.2
-
42
-
-
33847298659
-
Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: internal resonance activation, reduced-order models and nonlinear normal modes
-
Srinil N., and Rega G. Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part II: internal resonance activation, reduced-order models and nonlinear normal modes. Nonlinear Dynamics 48 (2007) 253-274
-
(2007)
Nonlinear Dynamics
, vol.48
, pp. 253-274
-
-
Srinil, N.1
Rega, G.2
-
43
-
-
34249797583
-
Dimension reduction of homoclinic orbits of buckled beams via the non-linear normal modes technique
-
Lenci S., and Rega G. Dimension reduction of homoclinic orbits of buckled beams via the non-linear normal modes technique. International Journal of Non-Linear Mechanics 42 (2007) 515-528
-
(2007)
International Journal of Non-Linear Mechanics
, vol.42
, pp. 515-528
-
-
Lenci, S.1
Rega, G.2
-
46
-
-
33646337679
-
Nonlinear normal modes and their application in structural dynamics
-
Pierre C., Jiang D., and Shaw S.W. Nonlinear normal modes and their application in structural dynamics. Mathematical Problems in Engineering 10847 (2006) 1-15
-
(2006)
Mathematical Problems in Engineering
, vol.10847
, pp. 1-15
-
-
Pierre, C.1
Jiang, D.2
Shaw, S.W.3
-
47
-
-
0030151935
-
A numerical method for determining nonlinear normal modes
-
Slater J.C. A numerical method for determining nonlinear normal modes. Nonlinear Dynamics 10 (1996) 19-30
-
(1996)
Nonlinear Dynamics
, vol.10
, pp. 19-30
-
-
Slater, J.C.1
-
48
-
-
53849122053
-
-
E. Pesheck, Reduced-order modeling of nonlinear structural systems using nonlinear normal modes and invariant manifolds, Ph.D. Thesis, University of Michigan, Ann Arbor, 2000.
-
E. Pesheck, Reduced-order modeling of nonlinear structural systems using nonlinear normal modes and invariant manifolds, Ph.D. Thesis, University of Michigan, Ann Arbor, 2000.
-
-
-
-
49
-
-
2142657195
-
Large-amplitude non-linear normal modes of piecewise linear systems
-
Jiang D., Pierre C., and Shaw S.W. Large-amplitude non-linear normal modes of piecewise linear systems. Journal of Sound and Vibration 272 (2004) 869-891
-
(2004)
Journal of Sound and Vibration
, vol.272
, pp. 869-891
-
-
Jiang, D.1
Pierre, C.2
Shaw, S.W.3
-
50
-
-
33746882845
-
Two methods for the computation of nonlinear modes of vibrating systems at large amplitudes
-
Arquier R., Bellizzi S., Bouc R., and Cochelin B. Two methods for the computation of nonlinear modes of vibrating systems at large amplitudes. Computers & Structures 84 (2006) 1565-1576
-
(2006)
Computers & Structures
, vol.84
, pp. 1565-1576
-
-
Arquier, R.1
Bellizzi, S.2
Bouc, R.3
Cochelin, B.4
-
51
-
-
33846101555
-
Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure
-
Wang F.X., and Bajaj A.K. Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure. Nonlinear Dynamics 47 (2007) 25-47
-
(2007)
Nonlinear Dynamics
, vol.47
, pp. 25-47
-
-
Wang, F.X.1
Bajaj, A.K.2
-
52
-
-
34250831537
-
Numerical calculation of nonlinear normal modes in structural systems
-
Burton T.D. Numerical calculation of nonlinear normal modes in structural systems. Nonlinear Dynamics 49 (2007) 425-441
-
(2007)
Nonlinear Dynamics
, vol.49
, pp. 425-441
-
-
Burton, T.D.1
-
53
-
-
53849134238
-
-
E. Doedel, AUTO, Software for Continuation and Bifurcation Problems in Ordinary Differential Equations, 2007.
-
E. Doedel, AUTO, Software for Continuation and Bifurcation Problems in Ordinary Differential Equations, 2007.
-
-
-
-
55
-
-
4243129078
-
Continuous wavelet transform for modal identification using free decay response
-
Argoul P., and Le T.P. Continuous wavelet transform for modal identification using free decay response. Journal of Sound and Vibration 277 (2004) 73-100
-
(2004)
Journal of Sound and Vibration
, vol.277
, pp. 73-100
-
-
Argoul, P.1
Le, T.P.2
-
57
-
-
0032121362
-
Identification of non-linear systems using multi-scale ridges and skeletons of the wavelet transform
-
Staszewski W.J. Identification of non-linear systems using multi-scale ridges and skeletons of the wavelet transform. Journal of Sound and Vibration 214 (1998) 639-658
-
(1998)
Journal of Sound and Vibration
, vol.214
, pp. 639-658
-
-
Staszewski, W.J.1
-
60
-
-
0037411955
-
Resonant non-linear normal modes, part I: analytical treatment for structural one-dimensional systems
-
Lacarbonara W., Rega G., and Nayfeh A.H. Resonant non-linear normal modes, part I: analytical treatment for structural one-dimensional systems. International Journal of Non-Linear Mechanics 38 (2003) 851-872
-
(2003)
International Journal of Non-Linear Mechanics
, vol.38
, pp. 851-872
-
-
Lacarbonara, W.1
Rega, G.2
Nayfeh, A.H.3
-
61
-
-
0037411958
-
Resonant non-linear normal modes, part II: activation/orthogonality conditions for shallow structural systems
-
Lacarbonara W., and Rega G. Resonant non-linear normal modes, part II: activation/orthogonality conditions for shallow structural systems. International Journal of Non-Linear Mechanics 38 (2003) 873-887
-
(2003)
International Journal of Non-Linear Mechanics
, vol.38
, pp. 873-887
-
-
Lacarbonara, W.1
Rega, G.2
-
64
-
-
0000721176
-
Inducing passive nonlinear energy sinks in vibrating systems
-
Vakakis A.F. Inducing passive nonlinear energy sinks in vibrating systems. Journal of Vibration and Acoustics 123 (2001) 324-332
-
(2001)
Journal of Vibration and Acoustics
, vol.123
, pp. 324-332
-
-
Vakakis, A.F.1
-
65
-
-
34047260407
-
Suppression of aeroelastic instability by means of broadband passive TET: part I, theory
-
Lee Y.S., Vakakis A.F., Bergman L.A., McFarland D.M., and Kerschen G. Suppression of aeroelastic instability by means of broadband passive TET: part I, theory. AIAA Journal 45 (2007) 693-711
-
(2007)
AIAA Journal
, vol.45
, pp. 693-711
-
-
Lee, Y.S.1
Vakakis, A.F.2
Bergman, L.A.3
McFarland, D.M.4
Kerschen, G.5
-
66
-
-
0000992329
-
Non-linear modal analysis of structural systems featuring internal resonances
-
Boivin N., Pierre C., and Shaw S.W. Non-linear modal analysis of structural systems featuring internal resonances. Journal of Sound and Vibration 182 (1995) 336-341
-
(1995)
Journal of Sound and Vibration
, vol.182
, pp. 336-341
-
-
Boivin, N.1
Pierre, C.2
Shaw, S.W.3
-
68
-
-
0001313559
-
An energy-based approach to computing resonant nonlinear normal modes
-
King M.E., and Vakakis A.F. An energy-based approach to computing resonant nonlinear normal modes. Journal of Applied Mechanics 63 (1995) 810-819
-
(1995)
Journal of Applied Mechanics
, vol.63
, pp. 810-819
-
-
King, M.E.1
Vakakis, A.F.2
-
69
-
-
0033353814
-
Dynamics of a cubic nonlinear vibration absorber
-
Oueini S., Chin C.M., and Nayfeh A.H. Dynamics of a cubic nonlinear vibration absorber. Nonlinear Dynamics 20 (1999) 283-295
-
(1999)
Nonlinear Dynamics
, vol.20
, pp. 283-295
-
-
Oueini, S.1
Chin, C.M.2
Nayfeh, A.H.3
-
70
-
-
0031142628
-
Computational formulation for periodic vibration of geometrically nonlinear structures, part I: theoretical background
-
Lewandowski R. Computational formulation for periodic vibration of geometrically nonlinear structures, part I: theoretical background. International Journal of Solids and Structures 34 (1997) 1925-1947
-
(1997)
International Journal of Solids and Structures
, vol.34
, pp. 1925-1947
-
-
Lewandowski, R.1
-
71
-
-
0031139750
-
Computational formulation for periodic vibration of geometrically nonlinear structures, part II: numerical strategy and examples
-
Lewandowski R. Computational formulation for periodic vibration of geometrically nonlinear structures, part II: numerical strategy and examples. International Journal of Solids and Structures 34 (1997) 1949-1964
-
(1997)
International Journal of Solids and Structures
, vol.34
, pp. 1949-1964
-
-
Lewandowski, R.1
-
72
-
-
0026923335
-
Normal modes and global dynamics of a 2-degree-of-freedom nonlinear-system; part I: low energies
-
Vakakis A.F., and Rand R.H. Normal modes and global dynamics of a 2-degree-of-freedom nonlinear-system; part I: low energies. International Journal of Non-Linear Mechanics 27 (1992) 861-874
-
(1992)
International Journal of Non-Linear Mechanics
, vol.27
, pp. 861-874
-
-
Vakakis, A.F.1
Rand, R.H.2
-
73
-
-
0026925073
-
Normal modes and global dynamics of a 2-degree-of-freedom nonlinear-system; part II: high energies
-
Vakakis A.F., and Rand R.H. Normal modes and global dynamics of a 2-degree-of-freedom nonlinear-system; part II: high energies. International Journal of Non-Linear Mechanics 27 (1992) 875-888
-
(1992)
International Journal of Non-Linear Mechanics
, vol.27
, pp. 875-888
-
-
Vakakis, A.F.1
Rand, R.H.2
-
74
-
-
33745815132
-
Synge's concept of stability applied to non-linear normal modes
-
Pak C.H. Synge's concept of stability applied to non-linear normal modes. International Journal of Non-Linear Mechanics 41 (2006) 657-664
-
(2006)
International Journal of Non-Linear Mechanics
, vol.41
, pp. 657-664
-
-
Pak, C.H.1
-
76
-
-
0029388116
-
Non-linear normal modes, invariance, and modal dynamics approximations of non-linear systems
-
Boivin N., Pierre C., and Shaw S.W. Non-linear normal modes, invariance, and modal dynamics approximations of non-linear systems. Nonlinear Dynamics 8 (1995) 315-346
-
(1995)
Nonlinear Dynamics
, vol.8
, pp. 315-346
-
-
Boivin, N.1
Pierre, C.2
Shaw, S.W.3
-
77
-
-
0036573740
-
Evaluation of non-linear normal modes for finite-element models
-
Mazzilli C.E.N., and Baracho Neto O.G.P. Evaluation of non-linear normal modes for finite-element models. Computer and Structures 80 (2002) 957-965
-
(2002)
Computer and Structures
, vol.80
, pp. 957-965
-
-
Mazzilli, C.E.N.1
Baracho Neto, O.G.P.2
-
78
-
-
33846448490
-
Non-linear normal modes and their bifurcation of a two DOF system with quadratic and cubic non-linearity
-
Li X., Ji J.C., and Hansen C.H. Non-linear normal modes and their bifurcation of a two DOF system with quadratic and cubic non-linearity. International Journal of Non-linear Mechanics 41 (2006) 1028-1038
-
(2006)
International Journal of Non-linear Mechanics
, vol.41
, pp. 1028-1038
-
-
Li, X.1
Ji, J.C.2
Hansen, C.H.3
-
79
-
-
0029402739
-
On direct methods for constructing nonlinear normal modes of continuous systems
-
Nayfeh A.H. On direct methods for constructing nonlinear normal modes of continuous systems. Journal of Vibration and Control 1 (1995) 389-430
-
(1995)
Journal of Vibration and Control
, vol.1
, pp. 389-430
-
-
Nayfeh, A.H.1
-
80
-
-
10044269430
-
Asymptotic non-linear normal modes for large-amplitude vibrations of continuous structures
-
Touzé C., Thomas O., and Huberdeau A. Asymptotic non-linear normal modes for large-amplitude vibrations of continuous structures. Computers & Structures 82 (2004) 2671-2682
-
(2004)
Computers & Structures
, vol.82
, pp. 2671-2682
-
-
Touzé, C.1
Thomas, O.2
Huberdeau, A.3
-
81
-
-
2342517458
-
Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes
-
Touzé C., Thomas O., and Chaigne A. Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes. Journal of Sound and Vibration 273 (2004) 77-101
-
(2004)
Journal of Sound and Vibration
, vol.273
, pp. 77-101
-
-
Touzé, C.1
Thomas, O.2
Chaigne, A.3
-
82
-
-
0023647909
-
Application of the Ritz method to the analysis of non-linear free vibrations of beams
-
Lewandowski R. Application of the Ritz method to the analysis of non-linear free vibrations of beams. Journal of Sound and Vibration 114 (1987) 91-101
-
(1987)
Journal of Sound and Vibration
, vol.114
, pp. 91-101
-
-
Lewandowski, R.1
-
83
-
-
0020497754
-
Non-linear normal modes and the generalized Ritz method in the problems of vibrations of non-linear elastic continuous systems
-
Szemplinska-Stupnicka W. Non-linear normal modes and the generalized Ritz method in the problems of vibrations of non-linear elastic continuous systems. International Journal of Non-linear Mechanics 18 (1983) 149-165
-
(1983)
International Journal of Non-linear Mechanics
, vol.18
, pp. 149-165
-
-
Szemplinska-Stupnicka, W.1
-
85
-
-
0026419989
-
The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures, part I: simply supported and clamped-clamped beams
-
Benamar R., Bennouna M.M.K., and White R.G. The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures, part I: simply supported and clamped-clamped beams. Journal of Sound and Vibration 149 (1991) 179-195
-
(1991)
Journal of Sound and Vibration
, vol.149
, pp. 179-195
-
-
Benamar, R.1
Bennouna, M.M.K.2
White, R.G.3
-
86
-
-
0030263881
-
On the calculation of non-linear normal modes in continuous systems
-
Burton T.D., and Hamdan M.N. On the calculation of non-linear normal modes in continuous systems. Journal of Sound and Vibration 197 (1996) 117-130
-
(1996)
Journal of Sound and Vibration
, vol.197
, pp. 117-130
-
-
Burton, T.D.1
Hamdan, M.N.2
-
88
-
-
53849110018
-
-
F. Pérignon, Vibration forcées de structures minces, élastiques, non-linéaires, Ph.D. Thesis, Université de la Méditerrané, Marseille, 2004.
-
F. Pérignon, Vibration forcées de structures minces, élastiques, non-linéaires, Ph.D. Thesis, Université de la Méditerrané, Marseille, 2004.
-
-
-
-
89
-
-
10444238071
-
Geometrically nonlinear free vibrations of simply supported isotropic thin circular plates
-
Haterbouch M., and Benamar R. Geometrically nonlinear free vibrations of simply supported isotropic thin circular plates. Journal of Sound and Vibration 280 (2005) 903-924
-
(2005)
Journal of Sound and Vibration
, vol.280
, pp. 903-924
-
-
Haterbouch, M.1
Benamar, R.2
-
90
-
-
24144498757
-
A new formulation for the existence and calculation of nonlinear normal modes
-
Bellizzi S., and Bouc R. A new formulation for the existence and calculation of nonlinear normal modes. Journal of Sound and Vibration 287 (2005) 545-569
-
(2005)
Journal of Sound and Vibration
, vol.287
, pp. 545-569
-
-
Bellizzi, S.1
Bouc, R.2
-
93
-
-
33846041608
-
Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators
-
Kerschen G., Kowtko J.J., McFarland D.M., Bergman L.A., and Vakakis A.F. Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators. Nonlinear Dynamics 47 (2007) 285-309
-
(2007)
Nonlinear Dynamics
, vol.47
, pp. 285-309
-
-
Kerschen, G.1
Kowtko, J.J.2
McFarland, D.M.3
Bergman, L.A.4
Vakakis, A.F.5
-
94
-
-
27544444861
-
Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system
-
Wang F.X., Bajaj A.K., and Kamiya K. Nonlinear normal modes and their bifurcations for an inertially coupled nonlinear conservative system. Nonlinear Dynamics 42 (2005) 233-265
-
(2005)
Nonlinear Dynamics
, vol.42
, pp. 233-265
-
-
Wang, F.X.1
Bajaj, A.K.2
Kamiya, K.3
-
96
-
-
53849147680
-
-
R. Arquier, Une méthode de calcul des modes de vibrations non-linéaires de structures, Ph.D. Thesis, Université de la Méditerrané, Marseille, 2007.
-
R. Arquier, Une méthode de calcul des modes de vibrations non-linéaires de structures, Ph.D. Thesis, Université de la Méditerrané, Marseille, 2007.
-
-
-
-
97
-
-
0037474503
-
A new Galerkin-based approach for accurate non-linear normal modes through invariant manifolds
-
Pesheck E., Pierre C., and Shaw S.W. A new Galerkin-based approach for accurate non-linear normal modes through invariant manifolds. Journal of Sound and Vibration 249 (2002) 971-993
-
(2002)
Journal of Sound and Vibration
, vol.249
, pp. 971-993
-
-
Pesheck, E.1
Pierre, C.2
Shaw, S.W.3
-
98
-
-
0343442545
-
Nonlinear normal modes of planar frames discretised by the finite element method
-
Soares M.E.S., and Mazzilli C.E.N. Nonlinear normal modes of planar frames discretised by the finite element method. Computers and Structures 77 (2000) 485-493
-
(2000)
Computers and Structures
, vol.77
, pp. 485-493
-
-
Soares, M.E.S.1
Mazzilli, C.E.N.2
-
102
-
-
40349092905
-
-
C. Touzé, M. Amabili, O. Thomas, Reduced-order models for large-amplitude vibrations of shells including in-plane inertia, Computer Methods in Applied Mechanics and Engineering, 2008, submitted for publication.
-
C. Touzé, M. Amabili, O. Thomas, Reduced-order models for large-amplitude vibrations of shells including in-plane inertia, Computer Methods in Applied Mechanics and Engineering, 2008, submitted for publication.
-
-
-
-
103
-
-
0035810116
-
Accurate reduced-order models for a simple rotor blade model using nonlinear normal modes
-
Pesheck E., Pierre C., and Shaw S.W. Accurate reduced-order models for a simple rotor blade model using nonlinear normal modes. Mathematical and Computer Modelling 33 (2001) 1085-1097
-
(2001)
Mathematical and Computer Modelling
, vol.33
, pp. 1085-1097
-
-
Pesheck, E.1
Pierre, C.2
Shaw, S.W.3
-
105
-
-
34250834390
-
Order reduction of structural dynamic systems with static piecewise linear nonlinearities
-
Butcher E.A., and Lu R. Order reduction of structural dynamic systems with static piecewise linear nonlinearities. Nonlinear Dynamics 49 (2007) 375-399
-
(2007)
Nonlinear Dynamics
, vol.49
, pp. 375-399
-
-
Butcher, E.A.1
Lu, R.2
-
106
-
-
34547131037
-
Reduced-order models for nonlinear vibrations of fluid-filled circular cylindrical shells: comparison of POD and asymptotic nonlinear normal modes methods
-
Amabili M., and Touzé C. Reduced-order models for nonlinear vibrations of fluid-filled circular cylindrical shells: comparison of POD and asymptotic nonlinear normal modes methods. Journal of Fluids and Structures 23 (2007) 885-903
-
(2007)
Journal of Fluids and Structures
, vol.23
, pp. 885-903
-
-
Amabili, M.1
Touzé, C.2
-
107
-
-
33645795028
-
Modeling and analysis of mistuned bladed disk vibration: status and emerging directions
-
Castanier M.P., and Pierre C. Modeling and analysis of mistuned bladed disk vibration: status and emerging directions. Journal of Propulsion and Power 22 (2006) 384-396
-
(2006)
Journal of Propulsion and Power
, vol.22
, pp. 384-396
-
-
Castanier, M.P.1
Pierre, C.2
-
108
-
-
0027540079
-
Mode localization in a class of multidegree-of-freedom nonlinear-systems with cyclic symmetry
-
Vakakis A.F., and Cetinkaya C. Mode localization in a class of multidegree-of-freedom nonlinear-systems with cyclic symmetry. SIAM Journal on Applied Mathematics 53 (1993) 265-282
-
(1993)
SIAM Journal on Applied Mathematics
, vol.53
, pp. 265-282
-
-
Vakakis, A.F.1
Cetinkaya, C.2
-
109
-
-
0030258480
-
Localized and non-localized nonlinear normal modes in a multi-span beam with geometric nonlinearities
-
Aubrecht J., and Vakakis A.F. Localized and non-localized nonlinear normal modes in a multi-span beam with geometric nonlinearities. Journal of Vibration and Acoustics 118 (1996) 533-542
-
(1996)
Journal of Vibration and Acoustics
, vol.118
, pp. 533-542
-
-
Aubrecht, J.1
Vakakis, A.F.2
-
111
-
-
53849123402
-
-
A.F. Vakakis, O. Gendelman, L.A. Bergman, D.M. McFarland, G. Kerschen, Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems, Springer, in press.
-
A.F. Vakakis, O. Gendelman, L.A. Bergman, D.M. McFarland, G. Kerschen, Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems, Springer, in press.
-
-
-
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