Differential quadrature method for bending of orthotropic plates with finite deformation and transverse shear effects

作者：Li JJ; Cheng CJ^*

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

• higher-order transverse shear deformation
• finite deformation
• differential quadrature method
• DQWB approach
• convergence and comparison study of solution

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.

• 出版日期2004-8
• 单位上海大学