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基于高阶剪切变形理论,突出考虑横向正应变和横向剪切应变的影响,对受热和外力联合作用下复合材料层合板的非线性静、动态响应进行分析。动态分析时计及了转动惯量的影响,给出了C°类有限元公式。文中数值算例同现有文献和三维有限元计算结果进行了比较,证明了本文方法的精确、有效性。文中还对层合反的边界条件、纵厚比及铺设角度对非线性动态响应的影响进行了分析。
Based on the theory of high-order shear deformation, the effects of transverse normal strain and transverse shear strain are considered prominently, and the nonlinear static and dynamic responses of composite laminates under combined heat and external forces are analyzed. The influence of moment of inertia is taken into account in dynamic analysis, and the C ° finite element formula is given. The numerical examples in this paper are compared with the existing literature and the results of three-dimensional finite element analysis, which proves the accuracy and effectiveness of the proposed method. In the paper, the influence of boundary conditions, aspect ratio and laying angle on nonlinear dynamic response is also analyzed.