Thermally induced transitions to chaos in plate vibrations

Journal of Sound and Vibration

Volumn 299, Issue 1-2, 2007, Pages 314-330

  Ribeiro, P ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; FINITE ELEMENT METHOD; NONLINEAR SYSTEMS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS; VIBRATION CONTROL;

ISOTROPIC PLATES; MECHANICAL EXCITATIONS; NEWMARK'S IMPLICIT TIME; THERMAL TRANSITIONS;

CHAOS THEORY;

EID: 33749257453     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.08.003     Document Type: Article

References (23)

1. Thorton E.A. Thermal Structures for Aerospace Applications (1996), AIAA Education Series, Reston
2. Argyris J.H., and Tenek L. Nonlinear and chaotic oscillations of composite plates and shells under periodic heat load. Computer Methods in Applied Mechanics and Engineering 122 (1995) 351-377
3. Murphy K.D., Virgin L.N., and Rizzi S.A. Characterizing the dynamic response of a thermally loaded, acoustically excited plate. Journal of Sound and Vibration 196 (1996) 635-658
4. Shi Y.C., Lee R.Y.Y., and Mei C. Thermal postbuckling of composite plates using the finite element modal coordinate method. Journal of Thermal Stresses 22 (1999) 595-614
5. Dhainaut J.M., Guo X.Y., Mei C., Spottswood S.M., and Wolfe H.F. Nonlinear random response of panels in an elevated thermal-acoustic environment. Journal of Aircraft 40 (2003) 683-691
6. Cheng G.F., and Mei C. Finite element modal formulation for hypersonic panel flutter analysis with thermal effects. AIAA Journal 42 (2004) 687-695
7. Murphy K.D., and Ferreira D. Thermal buckling of rectangular plates. International Journal of Solids and Structures 38 (2001) 3979-3994
8. Gilat R., and Aboudi J. The Lyapunov exponents as a quantitative criterion for the dynamic buckling of composite plates. International Journal of Solids and Structures 39 (2002) 467-481
9. Chen H., and Virgin L.N. Dynamic analysis of modal shifting and mode jumping in thermally buckled plates. Journal of Sound and Vibration 278 (2004) 233-256
10. Ribeiro P. A hierarchical finite element for geometrically non-linear vibration of thick plates. Meccanica 38 (2003) 115-130
11. Mindlin R.D. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics 18 (1951) 31-38
12. Ribeiro P., and Petyt M. Nonlinear vibration of beams with internal resonance by the hierarchical finite element method. Journal of Sound and Vibration 224 (1999) 591-624
13. Verma K.L. Thermoelastic vibrations of a transversely isotropic plate with thermal relaxations. International Journal of Solids and Structures 38 (2001) 8529-8546
14. Petyt M. Introduction to Finite Element Vibration Analysis (1990), Cambridge University Press, Cambridge
15. Li G.-Q., Jiang S.-C., Yin Y.-Z., Chen K., and Li M.-F. Experimental studies on the properties of constructional steel at elevated temperatures. Journal of Structural Engineering, ASCE 129 (2003) 1717-1721
16. Leissa A. Vibration of Plates (1993), Acoustical Society of America
17. Ribeiro P., and Petyt M. Nonlinear vibration of plates by the hierarchical finite element and continuation methods. International Journal of Mechanical Sciences 41 (1999) 437-459
18. Mei C., and Decha-Umphai K. A finite element method for non-linear forced vibrations of rectangular plates. AIAA Journal 23 (1985) 1104-1110
19. Beards C.F. Structural Vibration Analysis: Modelling, Analysis and Damping of Vibrating Structures (1983), Ellis Horwood Limited, Chichester
20. H. Wolfe, An experimental investigation of nonlinear behaviour of beams and plates excited to high levels of dynamic response, Ph.D. Thesis, University of Southampton, 1995.
21. Chia C.Y. Nonlinear Analysis of Plates (1980), McGraw-Hill, New York
22. Nayfeh A.H., and Balachandram B. Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods (1995), Wiley, New York
23. Wolf A., Swift J.B., Swinney H.L., and Vastano J.A. Determining Lyapunov exponents from a time series. Physica D 16 (1985) 285-317