Analysis of vibrating thick rectangular plates with mixed boundary constraints using differential quadrature element method

Journal of Sound and Vibration

Volumn 225, Issue 5, 1999, Pages 915-934

  Liu, F L ^a   Liew, K M ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000800590     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2262     Document Type: Article

References (32)

1. T. OTA and M. HAMADA 1963 Bulletin of Japan Society of Mechanical Engineering 6, 397-403. Fundamental frequencies of simply supported but partially clamped square plates.
2. L. M. KEER and B. STAHL 1972 Journal of Applied Mechanics 39, 513-520. Eigenvalue problems of rectangular plates with mixed edge condtions.
3. Y. NARITA 1981 Journal of Sound and Vibration 77, 345-355. Application of a series-type method to vibration of orthtropic rectangular plates with mixed boundary conditions.
4. R. VENKATESWARA, G. RAJU and T. V. MURTHY 1973 Journal of Sound and Vibration 30, 257-260. Vibration of rectangular plate with mixed boundary conditions.
5. D. J. GORMAN 1984 Journal of Sound and Vibration 93, 235-247. An exact analytical approach to the free vibration analysis of rectangular plates with mixed boundary conditions.
6. S. C. FAN and Y. K. CHEUNG 1984 Journal of Sound and Vibration 93, 81-94. Flexural free vibrations of rectangular plates with complex supported conditions.
7. T. MIZUSAWA and J. W. LEONARD 1990 Engineering Structures 12, 285-290. Vibration and buckling of plates with mixed boundary conditions.
8. K. M. LIEW, K. C. HUNG and K. Y. LAM 1993 Journal of Sound and Vibration 163, 451-462. On the use of the substructure method for vibration analysis of rectangular plates with discontinuous boundary conditions.
9. K. M. LIEW, K. C. HUNG and M. K. LIM 1993 International Journal of Mechanical Science 35, 615-632. Roles of domain decomposition method in plate vibrations: treatment of mixed discontinuous periphery boundaries.
10. K. M. LIEW, K. C. HUNG and M. K. LIM 1994 Journal of Sound and Vibration 178, 243-264. On the use of the domain decomposition method for vibration of symmetric laminates having discontinuous at the same edge.
11. P. A. A. LAURA and R. H. GUTIERREZ 1994 Journal of Sound and Vibration 173, 702-706. Analysis of vibrating rectangular plates with non-uniform boundary conditions by using the differential quadrature method.
12. T. SAKIYAMA and H. MATSUDA 1987 Journal of Sound and Vibration 113, 208-214. Free vibration of rectangular Mindlin plate with mixed boundary conditions.
13. R. E. BELLMAN and J. CASTI 1971 Journal of Mathematical Analysis and Applications 34, 235-238. Differential quadrature and long term integration.
14. C. W. BERT, S. K. JANG and A. G. STRIZ 1988 AIAA Journal 26, 612-618. Two new approximate methods for analyzing free vibration of structural components.
15. A. G. STRIZ, S. K. JANG and C. W. BERT 1988 Thin-Walled Structures 69, 51-62. Non-linear bending analysis of thin circular plates by differential quadrature.
16. C. W. BERT, S. K. JANG and A. G. STRIZ 1989 Computational Mechanics 5, 217-226. Non-linear bending analysis of orthotropic rectangular plates by the method of differential quadrature.
17. C. W. BERT and M. MALIK 1996 Applied Mechanics Review 49, 1-28. Differential quadrature method in computational mechanics: a review.
18. A. G. STRIZ, W. CHEN and C. W. BERT 1994 International Journal of Solids and Structures 31, 2807-2818. Static analysis of structures by the quadrature element method (QEM).
19. W. CHEN, A. G. STRIZ and C. W. BERT 1997 International Journal of Numerical Methods in Engineering 40, 1941-1956. A new approach to the differential quadrature method for fourth-order equations.
20. A. G. STRIZ, W. CHEN and C. W. BERT 1997 Journal of Sound and Vibration 202, 689-702. Free vibration of high-accuracy plate elements by the quadrature element method.
21. X. W. WANG and H. Z. GU 1997 International Journal of Numerical Methods in Engineering 40, 759-772. Static analysis of frame structure by the differential quadrature element method.
22. H. Z. GU and X. W. WANG 1997 Journal of Sound and Vibration 202, 452-459. On the free vibration analysis of circular plates with stepped thickness over a concentric region by the quadrature element method.
23. J.-B. HAN and K. M. LIEW 1996 Proceedings of the 3rd Asian-Pacific Conference on Computational Mechanics, 2363-2368. The differential quadrature element method (DQEM) for axisymmetric bending of thick circular plates.
24. F.-L. LIU and K. M. LIEW 1998 ASME Journal of Applied Mechanics 65, 705-710. Static analysis of Reissner-Mindlin plates by differential quadrature element method.
25. F.-L. LIU and K. M. LIEW 1999 International Journal of Solids and Structures, 36, 5101-5123. Differential quadrature element method for static analysis of Reissner-Mindlin polar plates.
26. F.-L. LIU 1999 International Journal of Solids and Structures, Rectangular thick plates on Winkler foundation: differential quadrature element solutions (in press).
27. F.-L. LIU and K. M. LIEW 1999 Transactions of ASME, Journal of Vibration and Acoustics 121, 204-208. Vibration analysis of discontinuous Mindlin plates by differential quadrature element method.
28. F.-L. LIU and K. M. LIEW 1999 Computer Methods in Applied Mechanics and Engineering, Differential quadrature element method: a new approach for free vibration analysis of polar Mindlin plates having discontinuities (in press).
29. R. D. MINDLIN 1951 ASME Journal of Applied Mechanics 18, 31-38. Influence of rotary inertia and shear on flexural motion of isotropic, elastic plates.
30. D. J. DAWE 1985 Aspects of the Analysis of Plate Structures 73-99. Oxford: Clarendon Press. Buckling and vibration of plate structures including shear deformation and related effects.
31. A. W. LEISSA 1973 Journal of Sound and Vibration 31, 257-293. The free vibration of rectangular plates.
32. K. M. LIEW, Y. XIANG and S. KITIPORNCHAI 1994 Computers and Structures 49, 1-29. Transverse vibration of thick rectangular plates -I: comprehensive sets of boundary conditions.