Large amplitude free flexural vibration of stiffened plates

AIAA Journal

Volumn 34, Issue 11, 1996, Pages 2377-2383

  Sheikh, Abdul Hamid ^a   Mukhopadhyay, Madhujit ^b  

^a INDIAN INSTITUTE OF ENGINEERING SCIENCE AND TECHNOLOGY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3242847345     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.13404     Document Type: Article

References (23)

1. Cheung, Y. K., Finite Strip Method in Structural Analysis, Pergamon, Oxford, England, UK, 1976.
2. Cheung, Y. K., Fan, S. C., and Wu, C. Q., "Spline Finite Strip in Structural Analysis," Proceedings of the International Conference on Finite Element (Shanghai), 1982, pp. 704-709.
3. Li, W. Y., Cheung, Y. K., and Tham, L. G., "Spline Finite Strip Analysis of General Plates," Journal of Engineering Mechanics, Vol. 112, No. 1, 1986, pp. 43-54.
4. Sheikh, A. H., and Mukhopadhyay, M., "Analysis of Stiffened Plate with Arbitrary Planform by the General Spline Finite Strip Method," Computers and Structures, Vol. 42, No. 1, 1992, pp. 57-63.
5. Sheikh, A. H., and Mukhopadhyay, M., "Free Vibration Analysis of Stiffened Plates with Arbitrary Planform by the General Spline Finite Strip Method," Journal of Sound and Vibration, Vol. 162, No. 1, 1993, pp. 147-164.
6. Sathyamoorthy, M., "Nonlinear Vibration of Plates - A Review," Shock and Vibration Digest, Vol. 15, No. 6, 1983, pp. 3-16.
7. Herrmann, G., "Influence of Large Amplitudes on Flexural Motion of Elastic Plates," NASA TN 3578, 1956.
8. Chu, H. N., and Herrmann, G., "Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Plates," Journal of Applied Mechanics, Vol. 23, No. 4, 1956, pp. 532-540.
9. Yamaki, Y., "Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates," Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 41, No. 2, 1961, pp. 501-510.
10. Mei, C., "Finite Element Displacement Model for Large Amplitude Free Flexural Vibrations of Beams and Plates," Computers and Structures, Vol. 3, No. 1, 1973, pp. 163-174.
11. Rao, G. V., Raju, I. S., and Raju, K. K., "A Finite Element Formulation for Large Amplitude Flexural Vibrations of Thin Rectangular Plates," Computers and Structures, Vol. 6, No. 3, 1976, pp. 163-167.
12. Prathap, G., and Varadan, T. K., "The Large Amplitude Vibrations of Hinged Beams," Computers and Structures, Vol. 9, No. 3, 1978, pp. 219-222.
13. Woinowsky-Krieger, S., "The Effect of Axial Force on the Vibration of Hinged Beam," Journal of Applied Mechanics, Vol. 17, No. 2, 1950, pp. 35, 36.
14. Gray, C. E., Mei, C., and Shore, C. P., "Finite Element Method for Large Amplitude Two-Dimensional Flutter at Hypersonic Speed," AIAA Journal, Vol. 29, No. 2, 1991, pp. 290-298.
15. Singh, G., Sharma, A. K., and Rao, G. V., "Large Amplitude Free Vibrations of Beams - a Discussion on Various Formulations and Assumptions," Journal of Sound and Vibration, Vol. 142, No. 2, 1990, pp. 77-85.
16. Prathap, G., and Varadan, T. K., "Large Amplitude Flexural Vibration of Stiffened Plates," Journal of Sound and Vibration, Vol. 57, No. 4, 1978, pp. 583-593.
17. Varadan, T. K., and Pandalai, K. A. V., "Large Amplitude Flexural Vibration of Eccentrically Stiffened Plates," Journal of Sound and Vibration, Vol. 67, No. 3, 1979, pp. 329-340.
18. Rao, S. R., Sheikh, A. H., and Mukhopadhyay, M., "Large Amplitude Finite Element Flexural Vibration of Plates/Stiffened Plates," Journal of the Acoustical Society of America, Vol. 96, No. 3, 1993, pp. 3250-3257.
19. Zienkiewicz, O. C., The Finite Element Method, McGraw-Hill, New York, 1977.
20. Pica, A., Wood, R. D., and Hinton, E., "Finite Element Analysis of Geometrically Nonlinear Plate Behaviour Using Mindlin Formulation," Computers and Structures, Vol. 11, No. 3, 1980, pp. 203-215.
21. Wood, R. D., and Schrefler, B., "Geometrically Nonlinear Analysis - a Correlation of Finite Element Methods," International Journal of Numerical Methods in Engineering, Vol. 12, No. 4, 1978, pp. 635-642.
22. Mukherjee, A., and Mukhopadhyay, M., "Finite Element Free Vibration of Eccentrically Stiffened Plates," Computers and Structures, Vol. 30, No. 6, 1988, pp. 1303-1317.
23. Ganapati, M., Varadan, T. K., and Sarma, B. S., "Nonlinear Flexural Vibrations of Laminated Orthotropic Plates," Computers and Structure, Vol. 39, 1991, pp. 685-688.