层合梁的弯曲与自由振动分析
ANALYSIS OF SOME PROBLEMS OF LAMINATED BEAMS
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摘要: 本文在铁摩辛柯梁理论的基础上, 应用迭合刚度的方法和Hamilton原理, 导出了适合于层合梁静力分析和动力分析的控制方程组(在单层情况下, 将退化成Timoshenko梁的方程)及边界条件。而且, 利用所获得的控制方程, 求得了层合梁一些问题的解析解及相应的数值结果。Abstract: Based on Timoshenko's beam theory, the governing equations and boundary conditions of static and dynamic analysis of laminated beams, which can be reduced to the equations of Timoshenko beam in the cass of single layer, are established in this paper by using effective stiffness method and Hamilton's principle, and the analytic solution and numerical results of some problems of laminated beams are obtained by employing the governing equations.
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