One-to-one internal resonance of symmetric crossply laminated shallow shells

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 4, 2001, Pages 640-649

  Abe, A ^a   Kobayashi, Y ^b   Yamada, G ^b  

^a UNIVERSITY OF FUKUI   (Japan)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4644275966     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1356416     Document Type: Article

References (25)

1. Chia, C. Y., 1980, Nonlinear Analysis of Plates, McGraw-Hill, New York.
2. Chia, C. Y, 1988, “Geometrically Nonlinear Behavior of Composite Plates: A Review,” ASME Appl. Mech. Rev., 41, pp. 439-451.
3. Sathyamoorthy, M., 1987, “Nonlinear Vibration Analysis of Plates: A Review and Survey of Current Developments,” ASME Appl. Mech. Rev., 40, pp. 1553-1561.
4. Fu, Y. M., and Chia, C. Y., 1989, “Multi-Mode Non-Linear Vibration and Post-buckling of Anti-Symmetric Imperfect Angle-Ply Cylindrical Thick Panels,” Int. J. Non-Linear Mech., 24, pp. 365-381.
5. Fu, Y. M., and Chia, C. Y, 1993, “Non-Linear Vibration and Postbuckling of Generally Laminated Circular Cylindrical Thick Shells With Non-Uniform Boundary Conditions,” Int. J. Non-Linear Mech., 28, pp. 313-327.
6. Raouf, R. A., and Palazotto, A. N., 1994, “On the Non-Linear Free Vibrations of Curved Orthotropic Panels,” Int. J. Non-Linear Mech., 29, pp. 507-514.
7. Xu, C. S., Xia, Z. Q., and Chia, C. Y, 1996, “Non-Linear Theory and Vibration Analysis of Laminated Truncated, Thick, Conical Shells,'' Int. J. NonLinear Mech., 31, pp. 139-154.
8. Cheung, Y K., and Fu, Y M., 1995, “Nonlinear Static and Dynamic Analysis for Laminated, Annular, Spherical Caps of Moderate Thickness,'' Nonlinear Dyn., 8, pp. 251-268.
9. Hadian, J., Nayfeh, A. H., and Nayfeh, J. F., 1995, “Modal Interaction in the Response of Antisymmetric Cross-ply Laminated Rectangular Plates,” J. Vib. Control, 1, pp. 159-182.
10. Abe, A., Kobayashi, Y, and Yamada, G., 1998, “Two-Mode Response of Sim-ply Supported, Rectangular Laminated Plates,'' Int. J. Non-Linear Mech., 33, pp. 675-690.
11. Abe, A., Kobayashi, Y., and Yamada, G., 1998, “Internal Resonance of Rectangular Laminated Plates With Degenerate Modes,'' JSME Int. J., Ser. C, 41, pp. 718-726.
12. Abe, A., Kobayashi, Y, and Yamada, G., 1998, “Three-Mode Response of Simply Supported, Rectangular Laminated Plates,'' JSME Int. J., Ser. C, 41, pp. 51-59.
13. Yasuda, K., and Kushida, G., 1984, “Nonlinear Forced Oscillations of a Shallow Spherical Shell,” Bull. JSME, 27, pp. 2233-2240.
14. Nayfeh, A. H., and Raouf, R. A., 1987, “Nonlinear Forced Response of Infinitely Long Circular Cylindrical Shells,” ASME J. Appl. Mech., 54, pp. 571-577.
15. Nayfeh, A. H., Raouf, R. A., and Nayfeh, J. F., 1991, “Nonlinear Response of Infinitely Long Circular Cylindrical Shells to Subharmonic Radial Loads,” ASME J. Appl. Mech., 58, pp. 1033-1041.
16. Chin, C., and Nayfeh, A. H., 1996, “Bifurcation and Chaos in Externally Excited Circular Cylindrical Shells,” ASME J. Appl. Mech., 63, pp. 565-574.
17. Chia, C. Y., 1987, “Nonlinear Vibration and Postbuckling of Unsymmetrically Laminated Imperfect Shallow Cylindrical Panels with Mixed Boundary Conditions Resting on Elastic Foundation,” Int. J. Eng. Sci., 25, pp. 427-441.
18. Yamaguchi, T., and Nagai, K., 1997, “Chaotic Vibrations of Cylindrical ShellPanel With an In-Plane Elastic-Support at Boundary,” Nonlinear Dyn., 13, pp. 259-277.
19. Eslami, H., and Kandil, O. H., 1989, “Nonlinear Forced Vibration of Orthotropic Rectangular Plates using Method of Multiple Scales,” AIAA J., 27, pp. 961-967.
20. Sassi, S., Thomas, M., and Laville, F., 1996, “Dynamic Response Obtained by Direct Numerical Integration for Pre-Deformed Rectangular Plates Subjected to In-Plane Loading,” J. Sound Vib., 191, pp. 67-83.
21. Nayfeh, A. H., and Balachandran, B., 1995, Applied Nonlinear Dynamics, John Wiley and Sons, New York.
22. Tamura, H., and Matsuzaki, K., 1996, “Numerical Scheme and Program for the Solution and Stability Analysis of a Steady Periodic Vibration Problem,” JSME Int. J., Ser. C, 39, pp. 456-463.
23. Vinson, J. R., and Seerakowski, R. L., 1986, The Behavior of Structures Composed of Composite Materials, Martinus Nijhoff Publishers, Dordrecht.
24. Kobayashi, Y., and Leissa, A. W., 1995, “Large Amplitude Free Vibration of Thick Shallow Shells Supported by Shear Diaphragms,” Int. J. Non-Linear Mech., 30, pp. 57-66.
25. Wolf, A., Swift, J. B., Swinney, H. L., and Vastano, J. A., 1985, “Determining Lyapunov Exponents From a Time Series,” Physica D, 16, pp. 285-317.