Differential Quadrature Method for Bending of Orthotropic Plates With Finite Deformation and Transverse Shear Effects

LI Jing-jing; CHENG Chang-jun

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(8): 801-808

LI Jing-jing, CHENG Chang-jun. Differential Quadrature Method for Bending of Orthotropic Plates With Finite Deformation and Transverse Shear Effects[J]. Applied Mathematics and Mechanics, 2004, 25(8): 801-808.

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Differential Quadrature Method for Bending of Orthotropic Plates With Finite Deformation and Transverse Shear Effects

Shanghai Institute of Applied Mathematics and Mechanics, and Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 2003-03-10
Rev Recd Date: 2004-04-16
Publish Date: 2004-08-15

Abstract

Abstract

Based on the Reddy's theory of plates with the effect of higher-order shear deformations, the governing equations for bending of orthotropic plates with finite deformations were established. The differential quadrature method of nonlinear analysis to the problem was presented. DQWB approach was extended to handle the multiple boundary conditions of plates. The techniques were also further extended to simplify nonlinear computations. The numerical convergence and comparison of solutions were studied. The results show that the DQ method presented is very reliable and valid. Moreover, the influences of geometric and material parameters as well as the transverse shear deformations on nonlinear bending were investigated. Numerical results show the influence of the shear deformation on the static bending of orthotropic moderately thick plate is significant.
- higher-order transverse shear deformation,
- finite deformation,
- differential quadrature method,
- DQWB approach,
- convergence and comparison study of solution

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References(14)

References

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