Effect of damage on bifurcation and chaos of viscoelastic plates

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 6, Issue 1, 2005, Pages 87-92

  Zheng, Yufang ^a   Fu, Yiming ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

Bifurcation and chaos; Damage; Dynamic stability; Nonlinearity; Viscoelastic plates

Indexed keywords

EID: 15544379584     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2005.6.1.87     Document Type: Article

References (12)

1. Aboudi, J. and Cederbaum, G. Dynamic stability analysis of viscoelastic plates by Lyapunov exponents, Journal of Sound and Vibration, 139 (1990) 459-467
2. Touati, D. and Cederbaum, G. Dynamic stability of nonlinear viscoelastic plates, International Journal of Solids and Structures, 31 (1994) 2367-2376
3. Sun, Y. X. and Zheng, S. Y. Chaotic dynamic analysis of viscoelastic plates, International Journal of Mechanical Science, 43 (2001) 1195-1208
4. Cheng, C. J. and Zhang, N. H. Chaotic and hyper- chaotic behaviors of viscoelastic rectangular plates under transverse periodic load, Acta Mechanica Sinica, 30 (1998) 690-699 (in Chinese)
5. Cheng, C. J. and Fan, X. J. Dynamical behavior of viscoelastic circular thin plates, Acta Mechanica Solida Sinica, 21 (2000) 306-312 (in Chinese)
6. Chen, L. Q. and Cheng, C. J. Controlling chaotic oscillations of viscoelastic plates by the linearization via output feedback. Applied Mathematics and Mechanics, 20 (1999) 1324-1330
7. Zhang, N. H. Dynamic behavior of nonlinear viscoelastic Kármán plates under a transverse harmonic load, International Journal of Nonlinear Sciences and Numerical Simulation, 5 (2004) 45-60
8. Prabhakara, D. L. and Datta, P. K. Vibration and static stability characteristics of rectangular plates with a localized flaw, Computers and Structures, 49 (1993) 825-836
9. Prabhakara, D. L. and Datta, P. K. Parametric instability characteristics of rectangular plates with localized damage subjected to in-plane periodic load, Structural Engineering Review, 1 (1993) 71-79
10. Prabhakara, D. L. and Datta, P. K. Static and dynamic elastic behaviour of damaged plates subjected to local inplane loads, Marine Structures, 9 ( 1996) 811-818
11. Laura, P. A. A. and Gutierrez, R. H. Transverse vibration of a damaged circular annular plate with a free edge, Journal of Sound and Vibration, 241 (2001) 720-724
12. Yang, T. Q. and Zhang, X. C. Temporal Character-istics of loading for creep buckling of plates, Acta Mechanica Sinica, 32 (2000) 319-325 (in Chinese)