Analysis of moderately thick circular plates using differential quadrature method

Journal of Engineering Mechanics

Volumn 123, Issue 12, 1997, Pages 1247-1252

  Han, J B ^a   Liew, K M ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000947162     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(1997)123:12(1247)     Document Type: Article

References (22)

1. Bapu Rao, M.N., and Kumaran, K. S. S. (1979). "Finite element analysis of Mindlin plates." J. Mech. Des., 101, 619-624.
2. Bellman, R. E., and Casti, J. (1971). "Differential quadrature and long term integration." J. Math. Anal, and Applications, 34, 235-238.
3. Bellman, R. E., Kashef, B. G., and Casti, J. (1972). "Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations." J. Computational Phys., 10, 40-52.
4. Bellman, R. E. (1973). Methods of nonlinear analysis, vol. 2. Academic Press, New York, N.Y.
5. Bert, C. W., Jang, S. K., and Striz, A. G. (1988). "Two new approximate methods for analyzing free vibration of structural components." AIAA J., 26(5), 612-618.
6. Ciavatti, V., Dragoni, E., and Strozzi, A. (1992). "Mechanical analysis of an annular plate transversely loaded at an arbitrary point by a concentrated force." J. Mech. Des., 114, 335-342.
7. Civan, K, and Sliepcevich, C. M. (1984). "Differential quadrature for multidimensional problems." J. Math. Anal. and Applications, 101, 423-443.
8. Gutierrez, R. H., Laura, P. A. A., and Rossi, R. E. (1994). "The method of differential quadrature and its application to the approximate solution of ocean engineering problems." Oc. Engrg., 21(1), 57-66.
9. Kukreti, A. R., Farsa, J., and Bert, C. W. (1992). "Fundamental frequency of tapered plates by differential quadrature." J. Engrg. Mech., ASCE, 118(6), 1221-1237.
10. Liew, K. M., and Lam, K. Y. (1993). "Tranverse vibration of solid circular plates continuous over multiple concentric annual supports." J. Appl. Mech., 60(1), 208-210.
11. Liew, K. M., Xiang, Y., Wang, C. M., and Kitipornchai, S. (1993). "Flexural vibration of shear deformable circular and annular plates on ring supports." Comput. Meth. Appl. Mech. Engrg., 110, 301-315.
12. Liew, K. M., and Han, J.-B. (1997). "Bending analysis of simply supported shear deformable skew plates." J. Engrg. Mech., ASCE, 123(3), 214-221.
13. Liew, K. M., Han, J.-B., and Xiao, Z. M. (1996a). "Differential quadrature method for thick symmetric cross-ply laminates with first-order shear flexibility." Int. J. Solids and Struct., 33(18), 2647-2658.
14. Liew, K. M., Han, J.-B., Xiao, Z. M., and Du, H. (1996b). "Differential quadrature method for Mindlin plates on Winkler foundations." Int. J. Mech. Sci., 38(4), 405-421.
15. Mindlin, R. D. (1951). "Influence of rotary inertia and shear on flexural motion of isotropic, elastic plates." J. Appl. Mech., 18(1), 31-38.
16. Perakatte, G. J., and Lehnhoff, T. F. (1971). "Flexure of symmetrically loaded circular plates including the effect of transverse shear." J. Appl. Mech., 38(4), 1036-1041.
17. Pilkey, W. D. (1994). Formulas for stress, strain, and structural matrices John Wiley & Sons, Inc., New York, N.Y.
18. Quan, J. R., and Chang, C. T. (1989). "New insights in solving distributed system equations by the quadrature method - I. analysis." Comput. & Chem. Engrg., 13(7), 779-788.
19. Reismann, H. (1988). Elastic plates: theory and application. John Wiley & Sons, Inc., New York, N.Y.
20. Reissner, E. (1945). "The effect of transverse shear deformation on the bending of elastic plates." J. Appl. Mech., 12(1), 69-77.
21. Sherbourne, A. N., and Pandey, M. D. (1991). "Differential quadrature method in the buckling analysis of beams and composite plates." Comput. and Struct., 40(4), 903-913.
22. Shu, C., and Richards, B. E. (1992). "Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations." Int. J. Numer. Meth. in Fluids, 15, 791-798.