Nonlinear vibration of a curved beam under uniform base harmonic excitation with quadratic and cubic nonlinearities

Journal of Sound and Vibration

Volumn 330, Issue 21, 2011, Pages 5151-5164

  Huang, J L ^a   Su, R K L ^b   Lee, Y Y ^c   Chen, S H ^a  

^a SUN YAT SEN UNIVERSITY   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ANTI-SYMMETRIC; CUBIC NONLINEARITIES; CURVED BEAMS; EXCITATION FREQUENCY; FLOQUET THEORY; GOVERNING EQUATIONS; HARMONIC EXCITATION; HIGH-DIMENSIONAL; INCREMENTAL HARMONIC BALANCE METHOD; NON-LINEAR MODEL; NON-LINEAR VIBRATIONS; NONLINEAR VIBRATION ANALYSIS; NUMERICAL INTEGRATIONS; PERIODIC SOLUTION; STEADY-STATE RESPONSE;

CURVED BEAMS AND GIRDERS; ENERGY TRANSFER; GALERKIN METHODS; HARMONIC ANALYSIS; NUMERICAL METHODS; STIFFNESS;

VIBRATION ANALYSIS;

EID: 79960566307     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2011.05.023     Document Type: Article

References (28)

1. C.M. Chin, and A.H. Nayfeh Three-to-one internal resonances in hinged-clamped beams Nonlinear Dynamics 12 1997 129 154 (Pubitemid 127717392)
2. S.L. Lau, Y.K. Cheung, and S.H. Chen An alternative perturbation procedure of multiple scales for nonlinear dynamics systems Journal of Applied Mechanics 56 1989 667 675 (Pubitemid 20655168)
3. S.H. Chen, Y.K. Cheung, and S.L. Lau On the internal resonance of multi-degree-of-freedom systems with cubic nonlinearity Journal of Sound and Vibration 128 1989 13 24
4. K.B. Blair, C.M. Krousgrill, and T.N. Farris Non-linear dynamic response of shallow arches to harmonic forcing Journal of Sound and Vibration 194 3 1996 353 367 (Pubitemid 126370829)
5. H.R. Öz, and M. Pakdemirli Two-to-one internal resonances in a shallow curved beam resting on an elastic foundation Acta Mechanics 185 2006 245 260 (Pubitemid 44326781)
6. Y.Y. Lee, W.Y. Poon, and C.F. Ng Anti-symmetric mode vibration of a curved beam subject to autoparametric excitation Journal of Sound and Vibration 290 2006 48 64 (Pubitemid 41805019)
7. S.M. Ibrahim, B.P. Patel, and Y. Nath Modified shooting approach to the non-linear periodic forced response of isotropic/composite curved beams International Journal of Non-Linear Mechanics 44 2009 1073 1084
8. P. Ribeiro, and E. Manoach The effect of temperature on the large amplitude vibrations of curved beams Journal of Sound and Vibration 285 2005 1093 1107 (Pubitemid 40753227)
9. J.S. Chen, and C.H. Yang Experiment and theory on the nonlinear vibration of a shallow arch under harmonic excitation at the end ASME Journal of Applied Mechanics 74 2007 1061 1070
10. Y.Y. Lee, R.K.L. Su, C.F. Ng, and C.K. Hui The effect of modal energy transfer on the sound radiation and vibration of a curved panel: theory and experiment Journal of Sound and Vibration 324 2009 1003 1015
11. S.L. Lau, and Y.K. Cheung Amplitude incremental variational principle for nonlinear structural vibrations Journal of Applied Mechanics 48 1981 959 964 (Pubitemid 12467555)
12. Y.K. Cheung, and S.L. Lau Incremental timespace finite strip method for nonlinear structural vibrations Earthquake Engineering and Structural Dynamics 10 1982 239 253 (Pubitemid 12507361)
13. S.L. Lau, Y.K. Cheung, and S.Y. Wu A variable parameter incrementation method for dynamic instability of linear and nonlinear elastic systems Journal of Applied Mechanics 49 1982 849 853 (Pubitemid 13458663)
14. S.H. Chen, Y.K. Cheung, and H.X. Xing Nonlinear vibration of plane structures by finite element and incremental harmonic balance method Nonlinear Dynamics 26 2001 87 104 (Pubitemid 34058443)
15. K.Y. Sze, S.H. Chen, and J.L. Huang The incremental harmonic balance method for nonlinear vibration of axially moving beams Journal of Sound and Vibration 281 2005 611 626 (Pubitemid 40206555)
16. G.Y. Wu The analysis of dynamic instability of a bimaterial beam with alternating magnetic fields and thermal loads Journal of Sound and Vibration 327 1-2 2009 197 210
17. A.K. Banik, and T.K. Datta Stability analysis of an articulated loading platform in regular sea Journal of Computational and Nonlinear Dynamics 3 1 2008 1 9
18. H. Wolf, J. Kodvanj, and S. Bjelovucic-Kopilovic Effect of smoothing piecewise-linear oscillators on their stability predictions Journal of Sound and Vibration 270 4-5 2004 917 932
19. A. Raghothama, and S. Narayanan Bifurcation and chaos in escape equation model by incremental harmonic balancing Chaos Solitons & Fractals 11 2000 1349 1363 (Pubitemid 32132824)
20. J.L. Huang, R.K.L. Su, and S.H. Chen Precise Hsus method for analyzing the stability of periodic solutions of multi-degrees-of-freedom systems with cubic nonlinearity Computers and Structures 87 2009 1624 1630
21. F. Zhu, and R.G. Parker Non-linear dynamics of a one-way clutch in beltpulley systems Journal of Sound and Vibration 279 12 2005 285 308
22. A.K. Banik, and T.K. Datta Stability analysis of two-point mooring system in surge oscillation Journal of Computational and Nonlinear Dynamics 5 2 2010 021005
23. P. Friedmann, C.E. Hammond, and T.H. Woo Efficient numerical treatment of periodic systems with application to stability problems International Journal of Numerical Methods in Engineering 11 1977 1117 1136
24. C.S. Hsu Impulsive parametric excitation: theory ASME, Journal of Applied Mechanics 39 1972 551 558
25. C.S. Hsu On approximating a general linear periodic system Journal of Mathematical Analysis Applications 45 1974 234 251
26. C.S. Hsu, and W.H. Cheng Applications of the theory of impulsive parametric excitation and new treatments of general parametric excitation problems ASME, Journal of Applied Mechanics 40 1973 78 86
27. A.H. Nayfeh, and D.T. Mook Nonlinear Oscillations 1979 Wiley New York
28. G. Schmidt, and A. Tondl Non-linear Vibrations 1986 Cambridge University Press New York