层合板热后屈曲分析中的Lagrangian方法

Lagrangian method for thermal postbuckling analysis of laminated panels

从研究层合板热后屈曲路径出发，阐述了板（梁）几何非线性有限元分析中的ＴＬ方法和ＵＬ方法；基于Ｖｏｎ－Ｋａｒｍａｎ大挠度理论，分析了两种方法的差异和适用范围；通过算例指出对于层合板的热后屈曲路径的研究，只有采用ＵＬ方法才能保证在较大变形范围内正确求解．

Originating from thermal postbuckling analysis of laminated plates this paper roughly describes TL and UL methods in geometrical nonlinear element analysis. Based on Von-Karman large deflection theory, the differences between methods and available range are demonstrated.A series of numerical examples indicate that the accuracy and reliability of solution for a wide range of deformation can be ensured only by means of UL method for solving thermal postbuckling path of laminated plates.