Static analysis of thick rectangular laminated plates: Three-dimensional elasticity solutions via differential quadrature element method

International Journal of Solids and Structures

Volumn 37, Issue 51, 2000, Pages 7671-7688

  Liu, F L ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Differential quadrature element method; Numerical method; Static analysis; Thick laminated composite plates; Three dimensional elasticity solution

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; DIFFERENTIAL EQUATIONS; DYNAMIC RESPONSE; ELASTICITY; LAMINATED COMPOSITES; STRUCTURAL ANALYSIS;

DIFFERENTIAL QUADRATURE ELEMENT METHOD; STATIC ANALYSIS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0034557414     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00300-5     Document Type: Article

References (29)

1. Bert, C.W., Jang, S.K., Striz, A.G., 1988. Two new approximate methods for analyzing free vibration of structural components. AIAA J. 26, 612-618.
2. Bert, C.W., Jang, S.K., Striz, A.G., 1989. Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature. Comput. Mech. 5, 217-226.
3. Bert, C.W., Malik, M., 1996. Differential quadrature method in computational mechanics: a review. Appl. Mech. Rev. 49 (1), 1-28.
4. Chen, W., Striz, A.G., Bert, C.W., 1997. A new approach to the differential quadrature method for fourth-order equations. Int. J. Numer. Meth. Engng. 40 (11), 1941-1956.
5. Han, J.-B., Liew, K.M., 1996. The differential quadrature element method (DQEM) for axisymmetric bending of thick circular plates. Proc. Int. Conf. Comput. Mech. vol. 3, Techno-Press, Seoul, pp. 2363-2368.
6. Hutchinson, J.R., Zillmer, S.D., 1983. Vibration of a free rectangular parallelepiped. Trans. ASME, J. Appl. Mech. 50, 123-130.
7. Leissa, A.W., Zhang, Z.D., 1983. On the three-dimensional vibrations of the cantilevered rectangular parallelepiped. J. Acoust. Soc. America 73, 2013-2021.
8. Liew, K.M., Hung, K.C., Lim, M.K., 1993. A continuum three-dimensional vibration analysis of thick rectangular plates. Int. J. Solids Struct. 30, 3357-3379.
9. Liew, K.M., Hung, K.C., Lim, M.K., 1994a. Three-dimensional vibration of rectangular plates: variance of simply supported conditions and influence of in-plane inertia. Int. J. Solids Struct. 31, 3233-3247.
10. Liew, K.M., Hung, K.C., Lim, M.K., 1994b. Free vibration studies on stress-free three-dimensional elastic solids. Trans. ASME, J. Appl. Mech. 61, 159-165.
11. Liew, K.M., Teo, T.M., 1998. Modeling via differential quadrature method: three-dimensional solutions for rectangular plates. Comput. Meth. Appl. Mech. Engng. 159, 369-381.
12. Liew, K.M., Teo, T.M., 1999. Three-dimensional vibration analysis of rectangular plates based on differential quadrature method. J. Sound Vib. 220, 577-599.
13. Liu, F.-L., 1999. Differential quadrature element method for static analysis of shear deformable cross-ply laminates. Int. J. Numer. Meth. Engng. 46, 1203-1219.
14. Liu, F.-L., 2000. Rectangular plates on Winkler foundation: differential quadrature element solution. Int. J. Solids Struct. 37, 1743-1763.
15. Liu, F.-L., Liew, K.M., Han, J.-B., 1997. Development of differential quadrature element method for vibration of Mindlin plates. Proc. Seventh Int. Conf. Computing in Civil & Building Engng. vol. 2, Techno-Press, Seoul, pp. 1151-1156.
16. Liu, F.-L., Liew, K.M., 1998. Static analysis of Reissner-Mindlin plates by differential quadrature element method. Trans. ASME, J. Appl. Mech. 65, 705-710.
17. Liu, F.-L., Liew, K.M., 1999a. Vibration analysis of discontinuous Mindlin plates by differential quadrature element method. Trans. ASME, J. Vibr. Acoust. 121, 204-208.
18. Liu, F.-L., Liew, K.M., 1999b. Differential quadrature element method for static analysis of Reissner-Mindlin polar plates. Int. J. Solids Struct. 36 (33), 5101-5123.
19. Liu, F.-L., Liew, K.M., 1999c. Differential quadrature element method: a new approach for free vibration analysis of polar Mindlin plates having discontinuities. Comput. Meth. Appl. Mech. Engng. 179 (3-41), 407-423.
20. Malik, M., Bert, C.W., 1998. Three-dimensional elasticity solutions for free vibration of thick rectangular plates by the differential quadrature method. Int. J. Solids Struct. 35, 299-318.
21. Pagano, N.J., 1970. Exact solutions for rectangular bidirectional composites and sandwich plates. J. Composite Mat. 5, 20-34.
22. Srinivas, S., Rao, A.K., 1970. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int. J. Solids Struct. 6, 1463-1481.
23. Srinivas, S., Rao, C.V., Rao, A.K., 1970. An exact analysis for vibration of simply supported homogeneous and laminated thick rectangular plates. J. Sound Vibr. 12, 187-199.
24. Striz, A.G., Chen, W., Bert, C.W., 1994. Static analysis of structures by the quadrature element method (QEM). Int. J. Solids Struct. 31, 2807-2818.
25. Striz, A.G., Chen, W., Bert, C.W., 1997. Free vibration of high-accuracy plate elements by the quadrature element method. J. Sound Vibr. 202, 689-702.
26. Teo, T.M., Liew, K.M., 1999. A differential quadrature procedure for three-dimensional buckling analysis of rectangular plates. Int. J. Solids Struct. 36, 1149-1168.
27. Wang, X., Gu, H., 1997. Static analysis of frame structures by the differential quadrature element method. Int. J. Numer. Meth. Engng. 40, 759-772.
28. Wang, Y.-M., Tarn, J.-Q., 1994. Three-dimensional analysis of anisotropic inhomogeneous and laminated plates. Int. J. Solids Struct. 31, 497-515.
29. Wittrick, W.H., 1987. Analytical, three-dimensional elasticity solutions to some plate problems, and some observations on Mindlin's plate theory. Int. J. Solids Struct. 23, 441-464.