DIFFERENTIAL QUADRATURE METHOD FOR BENDING OF ORTHOTROPIC PLATES WITH FINITE DEFORMATION AND TRANSVERSE SHEAR EFFECTS

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (8): 878-886.

DIFFERENTIAL QUADRATURE METHOD FOR BENDING OF ORTHOTROPIC PLATES WITH FINITE DEFORMATION AND TRANSVERSE SHEAR EFFECTS

李晶晶, 程昌钧

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

收稿日期:2003-03-10 修回日期:2004-04-16 出版日期:2004-08-18 发布日期:2004-08-18
基金资助:
the Municipal Key Subject Program of Shanghai of China

DIFFERENTIAL QUADRATURE METHOD FOR BENDING OF ORTHOTROPIC PLATES WITH FINITE DEFORMATION AND TRANSVERSE SHEAR EFFECTS

LI Jing-jing, CHENG Chang-jun

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

Received:2003-03-10 Revised:2004-04-16 Online:2004-08-18 Published:2004-08-18
Supported by:
the Municipal Key Subject Program of Shanghai of China

摘要/Abstract

摘要： 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(DQ)method of nonlinear analysis to the problem was presented. New DQ approach, presented by Wang and Bert(DQWB), is 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.

关键词: higher-order transverse shear deformation, finite deformation, differential quadrature method, DQWB approach, convergence and comparison study of solution

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(DQ)method of nonlinear analysis to the problem was presented. New DQ approach, presented by Wang and Bert(DQWB), is 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.

Key words: higher-order transverse shear deformation, finite deformation, differential quadrature method, DQWB approach, convergence and comparison study of solution

中图分类号:

O343.8

李晶晶;程昌钧. DIFFERENTIAL QUADRATURE METHOD FOR BENDING OF ORTHOTROPIC PLATES WITH FINITE DEFORMATION AND TRANSVERSE SHEAR EFFECTS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(8): 878-886.

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 (English Edition), 2004, 25(8): 878-886.

参考文献

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DIFFERENTIAL QUADRATURE METHOD FOR BENDING OF ORTHOTROPIC PLATES WITH FINITE DEFORMATION AND TRANSVERSE SHEAR EFFECTS

DIFFERENTIAL QUADRATURE METHOD FOR BENDING OF ORTHOTROPIC PLATES WITH FINITE DEFORMATION AND TRANSVERSE SHEAR EFFECTS

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