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Volumn 133, Issue 2, 2011, Pages

Vibration analysis of a nonlinear system with cyclic symmetry

Author keywords

bifurcation; geometrical nonlinearity; localization; nonlinear normal modes

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; VIBRATION ANALYSIS;

EID: 78649287722     PISSN: 07424795     EISSN: 15288919     Source Type: Journal    
DOI: 10.1115/1.4001989     Document Type: Article
Times cited : (32)

References (23)
  • 1
    • 67649202516 scopus 로고    scopus 로고
    • Modal analysis of a nonlinear periodic structure with cyclic symmetry
    • Georgiades, F., Peeters, M., Kerschen, G., and Golinval, J., 2009, "Modal Analysis of a Nonlinear Periodic Structure With Cyclic Symmetry", AIAA J., 47, pp. 1014-1025.
    • (2009) AIAA J. , vol.47 , pp. 1014-1025
    • Georgiades, F.1    Peeters, M.2    Kerschen, G.3    Golinval, J.4
  • 2
    • 0027606944 scopus 로고
    • A multiple-scales analysis of nonlinear, localized modes in a cyclic periodic system
    • Vakakis, A. F., 1993, "A Multiple-Scales Analysis of Nonlinear, Localized Modes in a Cyclic Periodic System", ASME J. Appl. Mech., 60, pp. 388-397.
    • (1993) ASME J. Appl. Mech. , vol.60 , pp. 388-397
    • Vakakis, A.F.1
  • 3
    • 0031238193 scopus 로고    scopus 로고
    • Subharmonic oscillations in harmonically excited mechanical systems with cyclic symmetry
    • Samaranayake, S., 1997, "Subharmonic Oscillations in Harmonically Excited Mechanical Systems With Cyclic Symmetry", J. Sound Vib., 206 (1), pp. 39-60.
    • (1997) J. Sound Vib. , vol.206 , Issue.1 , pp. 39-60
    • Samaranayake, S.1
  • 4
    • 0030780655 scopus 로고    scopus 로고
    • Non-linear normal modes (NNMs) and their applications in vibration theory: An overview
    • Vakakis, A. F., 1997, "Non-Linear Normal Modes (NNMs) and Their Applications in Vibration Theory: An Overview", Mech. Syst. Signal Process., 11 (1), pp. 3-22.
    • (1997) Mech. Syst. Signal Process. , vol.11 , Issue.1 , pp. 3-22
    • Vakakis, A.F.1
  • 5
    • 53849093038 scopus 로고    scopus 로고
    • Nonlinear normal modes, Part I: A useful framework for the structural dynamicist
    • Kerschen, G., Peeters, M., Golinval, J., and Vakakis, A. F., 2009, "Nonlinear Normal Modes, Part I: A Useful Framework for the Structural Dynamicist", Mech. Syst. Signal Process., 23, pp. 170-194.
    • (2009) Mech. Syst. Signal Process. , vol.23 , pp. 170-194
    • Kerschen, G.1    Peeters, M.2    Golinval, J.3    Vakakis, A.F.4
  • 7
    • 0027040891 scopus 로고
    • Dynamics of a nonlinear periodic structure with cyclic symmetry
    • Vakakis, A. F., 1992, "Dynamics of a Nonlinear Periodic Structure With Cyclic Symmetry", Acta Mech., 95, pp. 197-226.
    • (1992) Acta Mech. , vol.95 , pp. 197-226
    • Vakakis, A.F.1
  • 8
    • 53849083425 scopus 로고    scopus 로고
    • Nonlinear normal modes, Part II: Toward a practical computation using continuation technique
    • Peeters, M., Kerschen, G., Vigui, R., Srandour, G., and Golinval, J., 2009, "Nonlinear Normal Modes, Part II: Toward a Practical Computation Using Continuation Technique", Mech. Syst. Signal Process., 23, pp. 195-216.
    • (2009) Mech. Syst. Signal Process , vol.23 , pp. 195-216
    • Peeters, M.1    Kerschen, G.2    Vigui, R.3    Srandour, G.4    Golinval, J.5
  • 9
    • 0027610759 scopus 로고
    • The effect of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic structures, Part II: Fully clamped rectangular isotropic plates
    • Benamar, R., Bennouna, M., and White, R., 1993, "The Effect of Large Vibration Amplitudes on the Mode Shapes and Natural Frequencies of Thin Elastic Structures, Part II: Fully Clamped Rectangular Isotropic Plates", J. Sound Vib., 164 (2), pp. 295-316.
    • (1993) J. Sound Vib. , vol.164 , Issue.2 , pp. 295-316
    • Benamar, R.1    Bennouna, M.2    White, R.3
  • 10
    • 31644431511 scopus 로고    scopus 로고
    • Theory and experiments for large-amplitude vibrations of rectangular plates with geometric imperfections
    • DOI 10.1016/j.jsv.2005.06.007, PII S0022460X05003974
    • Amabili, M., 2006, "Theory and Experiments for Large-Amplitude Vibrations of Rectangular Plates With Geometric Imperfections", J. Sound Vib., 291, pp. 539-565. (Pubitemid 43172066)
    • (2006) Journal of Sound and Vibration , vol.291 , Issue.3-5 , pp. 539-565
    • Amabili, M.1
  • 11
    • 2342517458 scopus 로고    scopus 로고
    • Hardening/Softening behaviour in non linear oscillation of structural systems using non linear normal modes
    • Touzé, C, Thomas, O., and Chaigne, A., 2004, "Hardening/ Softening Behaviour in Non Linear Oscillation of Structural Systems Using Non Linear Normal Modes", J. Sound Vib., 273, pp. 77-101.
    • (2004) J. Sound Vib. , vol.273 , pp. 77-101
    • Touzé, C.1    Thomas, O.2    Chaigne, A.3
  • 12
    • 0031142628 scopus 로고    scopus 로고
    • Computational formulation for periodic vibration of geometrically nonlinear structures - Part 1: Theoretical background
    • PII S0020768396001278
    • Lewandowski, R., 1997, "Computational Formulation for Periodic Vibration of Geometrically Nonlinear Structures-Part 1: Theoretical Background", Int. J. Solids Struct., 34 (15), pp. 1925-1947. (Pubitemid 127425782)
    • (1997) International Journal of Solids and Structures , vol.34 , Issue.15 , pp. 1925-1947
    • Lewandowski, R.1
  • 13
    • 0031139750 scopus 로고    scopus 로고
    • Computational formulation for periodic vibration of geometrically nonlinear structures - Part 2: Numerical strategy and examples
    • PII S0020768396001266
    • Lewandowski, R., 1997, "Computational Formulation for Periodic Vibration of Geometrically Nonlinear Structures-Part 2: Numerical Strategy and Examples", Int. J. Solids Struct., 34 (15), pp. 1949-1964. (Pubitemid 127425783)
    • (1997) International Journal of Solids and Structures , vol.34 , Issue.15 , pp. 1949-1964
    • Lewandowski, R.1
  • 14
    • 0034155643 scopus 로고    scopus 로고
    • Non-linear free vibration of isotropic plates with internal resonance
    • Ribeiro, P., and Petyt, M., 2000, "Non-Linear Free Vibration of Isotropic Plates With Internal Resonance", Int. J. Non-Linear Mech., 35, pp. 263-278.
    • (2000) Int. J. Non-Linear Mech. , vol.35 , pp. 263-278
    • Ribeiro, P.1    Petyt, M.2
  • 15
    • 0027306241 scopus 로고
    • Pb-2 rayleigh-ritz method for general plate analysis
    • Liew, K., and Wang, C, 1993, "pb-2 Rayleigh-Ritz Method for General Plate Analysis", Eng. Struct., 15 (1), pp. 55-60.
    • (1993) Eng. Struct. , vol.15 , Issue.1 , pp. 55-60
    • Liew, K.1    Wang, C.2
  • 16
    • 34247542144 scopus 로고    scopus 로고
    • Qualitative analysis of forced response of blisks with friction ring dampers
    • Laxalde, D., Thouverez, F., Sinou, J.-J., and Lombard, J.-P., 2007, "Qualitative Analysis of Forced Response of Blisks With Friction Ring Dampers", Eur. J. Mech. A/Solids, 26, pp. 676-687.
    • (2007) Eur. J. Mech. A/Solids , vol.26 , pp. 676-687
    • Laxalde, D.1    Thouverez, F.2    Sinou, J.-J.3    Lombard, J.-P.4
  • 17
    • 63549092696 scopus 로고    scopus 로고
    • Complex nonlinear modal analysis for mechanical systems: Application to turbomachinery bladings with friction interfaces
    • Laxalde, D., and Thouverez, F, 2009, "Complex Nonlinear Modal Analysis for Mechanical Systems: Application to Turbomachinery Bladings With Friction Interfaces", J. Sound Vib., 322, pp. 1009-1025.
    • (2009) J. Sound Vib. , vol.322 , pp. 1009-1025
    • Laxalde, D.1    Thouverez, F.2
  • 18
    • 0033117133 scopus 로고    scopus 로고
    • Nonlinear vibration of plates by the hierarchical finite element and continuation methods
    • Ribeiro, P., and Petyt, M., 1999, "Nonlinear Vibration of Plates by the Hierarchical Finite Element and Continuation Methods", Int. J. Mech. Sci., 41, pp. 437-459.
    • (1999) Int. J. Mech. Sci. , vol.41 , pp. 437-459
    • Ribeiro, P.1    Petyt, M.2
  • 20
    • 33645049419 scopus 로고
    • On nonlinear vibration of systems with many degrees of freedom
    • Rosenberg, R., 1966, "On Nonlinear Vibration of Systems With Many Degrees of Freedom", Adv. Appl. Mech., 9, pp. 155-242.
    • (1966) Adv. Appl. Mech. , vol.9 , pp. 155-242
    • Rosenberg, R.1
  • 21
    • 0027911991 scopus 로고
    • Normal modes for non-linear vibratory systems
    • Shaw, S., and Pierre, C, 1993, "Normal Modes for Non-Linear Vibratory Systems", J. Sound Vib., 164 (1), pp. 85-124.
    • (1993) J. Sound Vib. , vol.164 , Issue.1 , pp. 85-124
    • Shaw, S.1    Pierre, C.2
  • 22
    • 45649083119 scopus 로고    scopus 로고
    • Vibration mechanism of a mistuned bladed-disk
    • Yan, Y J., Cui, P. L., and Hao, H. N., 2008, "Vibration Mechanism of a Mistuned Bladed-Disk", J. Sound Vib., 317, pp. 294-307.
    • (2008) J. Sound Vib. , vol.317 , pp. 294-307
    • Yan, Y.J.1    Cui, P.L.2    Hao, H.N.3
  • 23
    • 0029229780 scopus 로고
    • A very complicated structure of resonances in a nonlinear system with cyclic symmetry: Non linear forced localization
    • Vakakis, A. F, and King, M., 1995, "A Very Complicated Structure of Resonances in a Nonlinear System With Cyclic Symmetry: Non Linear Forced Localization", Nonlinear Dyn., 7, pp. 85-104.
    • (1995) Nonlinear Dyn. , vol.7 , pp. 85-104
    • Vakakis, A.F.1    King, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.