首页> 外文会议>Sixth International Conference on Structures Under Shock and Impact held in Cambridge, England, July 2000. >Impact response of anisotropic plates by the method of eigenfunction expansion
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Impact response of anisotropic plates by the method of eigenfunction expansion

机译:本征函数展开法的各向异性板的冲击响应

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Present paper describes a development of the method of eigenfunction expansion to the impact response analysis of anisotropic plates based on the theory of elastodynamics. The elastodynamic solution is decomposed into their quasi-static and dynamic components. The quasi-static solution is obtained by an exact analysis of the quasi-static differential equations with the time-dependent boundary conditions under the given impact pressure loading. The dynamic part is given in an infinite series of the eigenfunctions (normal modes) which are derived from the free vibration analysis of the associated problem satisfying homogeneous boundary conditions. Stress and displacement responses at transient state and long-time state are shown graphically.
机译:本文描述了基于弹性动力学理论的本征函数扩展方法在各向异性板碰撞反应分析中的发展。弹性动力解被分解为准静态和动态分量。在给定的冲击压力载荷下,通过对准静态微分方程的时变边界条件进行精确分析,可以得到准静态解。动态部分以本征函数(法线)的无限系列给出,这些本征函数是从对满足均匀边界条件的相关问题的自由振动分析中得出的。图形显示了瞬态和长时间状态下的应力和位移响应。

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