高阶剪切变形板理论Kármán型方程及在热后屈曲分析中的应用

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Kármán-Type Equations for a Higher-order Shear Deformation Plate Theory and Its Use in the Thermal Postbuckling Analysis

Department of Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China

摘要: 本文基于Reddy高阶剪切变形板理论导出Kármán型非线性大挠度方程并用于层合板热后屈曲分析.分析中计及板初始几何缺陷和热效应.给出了四边简支.对称正交铺设层合板在均匀或非均匀抛物型热分布作用下的后屈曲分析.采用摄动-Galerkin混合法确定板的热屈曲载荷与热后屈曲平衡路径.同时讨论了横向剪切变形,板长宽比,铺层数以及初始几何缺陷等各种参数变化的影响.
- 层合板 /
- 高阶理论 /
- 热后屈曲 /
- 摄动-Galerkin混合法
Abstract: Kármán-type nonlinear large deflection equations are derived occnrding to the Reddy's higher-order shear deformation plate theory and used in the thermal postbuckling analysis The effects of initial geometric imperfections of the plate are included in the present study which also includes the thermal effects.Simply supported,symmetric cross-ply laminated plates subjected to uniform of nomuniform parabolic temperature distribution are considered. The analysis uses a mixed Galerkin-perlurbation technique to determine thermal buckling louds and postbuckling equilibrium paths.The effects played by transverse shear deformation plate aspeclraio, total number of plies thermal load ratio and initial geometric imperfections arealso studied.
- composite laminated plate /
- higher-order shear deformation plate theory /
- thermal postbuckling /
- Galerkin-perturbation technique

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