Nonlinear vibration analysis of thin laminated rectangular plates on elastic foundations

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 80, Issue 3, 2000, Pages 183-192

  Manoj, T ^a   Ayyappan, M ^a   Krishnan, K S ^a   Nageswara Rao, B ^b  

^a College of Engineering ^*  (India)

^b INDIAN SPACE RESEARCH ORGANISATION   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747804404     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4001(200003)80:3<183::AID-ZAMM183>3.0.CO;2-P     Document Type: Article

References (27)

1. CHIA, C. Y.: Non-linear analysis of plates. McGraw-Hill, New York 1980, pp. 13-18.
2. CHIA, C. Y.: Geometrically non linear behaviour of composite plates. Appl. Mech. Review 41 (1988), 439-451.
3. BERT, C. W.: Research on dynamic behaviour of composite and sandwitch plates. Shock Vibration Digest 23 (1991), 13-14.
4. LEISSA, A. W.: Recent studies in plate vibrations: 1981-85. Part I. Classical theory. Shock Vibration Digest 19 (1987), 11-18.
5. SATHYAMOORTHY, M.: Nonlinear vibration analysis of plates: A review and survey of current development. Appl. Mech. Review 40 (1987), 1553-1561.
6. SATHYAMOORTHY, M.: Recent research in nonlinear plate vibrations. Shock Vibration Digest 20 (1988), 14-20.
7. REDDY, J. N.; CHANDRASHKARA, K.: Recent advances in the nonlinear analysis of laminated composite plates and shells. Shock Vibration Digest 19 (1987), 3-9.
8. SATHYAMOORTHY, M.: Non linear vibration of plates: An update of recent developments. Appl. Mech. Review 49 (1996), 555-562.
9. REDDY, J. N.; CHAO, C. W. C.: Non linear oscillations of laminated anisotropic rectangular plates. J. Appl. Mech. 49 (1982), 396-402.
10. CHIA, C. Y.; PRABHAKARA, M. K.: A general mode approach to non linear flexural vibrations of laminated rectangular plates. J. Appl. Mech. 45 (1978), 623-628.
11. CHANDRA, R.; RAJU, B. B.: Large amplitude of flextural vibration of cross-ply laminated composite plates. Fibre Sci. Technol. 8 (1975), 243-265.
12. MARYBERRY, B. L.; BERT, C. W.: Experimental investigation of non linear vibrations of laminated anisotropic panels. Shock Vibration Digest 39 (1969), 191-199.
13. CHU, H. N.; HERRMAN, G.: Influence of large amplitude on free flexural vibrations of rectangular elastic plates. J. Appl. Mech. 23 (1956), 532-540.
14. EISLEY, J. G.: Large amplitude vibration of buckled beams and rectangular plates. AIAA J. 2 (1964), 2207-2209.
15. WU, C. I.; VINSON, J. R.: Non linear oscillations of laminated specially orthotropic plates with clamped and simply supported edges. J. Acoust. Soc. America 49 (1971), 1561-1567.
16. YEH, F. H.; LIU, W. H.: Non linear analysis of rectangular orthotropic plates. Internat. J. Mech. Sci. 33 (1991), 563-578.
17. SINGH, G.; VENKATESWARA RAO, G.; IYENGAR, N. G. R.: Large amplitude free vibrations of simply supported anisotropic cross-ply plates. AIAA J. 29 (1991), 784-790.
18. SARMA, M. S.; VENKATESHWAR RAO, A.; PILLAI, S. R. R.; NAGESWARA RAO, B.: Large amplitude vibrations of laminated hybrid composite plates. J. Sound Vibr. 159 (1992), 540-545.
19. SARMA, M. S.; VENKATESHWAR RAO, A.; PILLAI, S. R. R.; NAGESWARA RAO, B.: Applicability of the energy method to nonlinear vibration of thin rectangular plates. J. Sound Vibr. 187 (1992), 346-357.
20. BHASKAR, A.; DUMIR, P. C.: Non linear vibration of orthotropic thin rectangular plates on elastic foundations. J. Sound Vibr. 125 (1988), 1-11.
21. VON KÁRMÁN, TH.: Festigkeitsprobleme im Maschinenbau. Encyklopädie Math. Wissensch. 4 (1910) 4, 348-352.
22. SRINIVASAN, P.: Nonlinear mechanical vibrations. New Age Int. (P) Ltd. (formerly Wiley Eastern), New Delhi 1995, pp. 41-46.
23. CHU, H. N.; HERRMAN, G.: Influence of large amplitude free flexural vibrations of rectangular elastic plates. J. Appl. Mech. 23 (1956), 532-540.
24. WAH, T.: Large amplitude flexural vibrations of rectangular plates. Internat. J. Mech. Sci. 5 (1963), 425-438.
25. MEI, C.; DECHA-UMPHAI, K.: A finite element method for non linear forced vibration of rectangular plates. AIAA J. 23 (1985), 1104-1110.
26. YAMAKI, N.: Influence of large amplitudes on flexural vibrations of elastic plates. ZAMM 41 (1961), 501-510.
27. BERT, C. W.: Non linear vibration of rectangular plate arbitrarily laminated of anisotropic material. J. Appl. Mech. 40 (1973), 452-458.