Nonlinear analysis for a rectangular plate subjected to low velocity impact considering the effect of the structural deformation
首发时间:2018-04-03
Abstract:In this paper, by applying the Hertz contact law and considering the effect of the structural deformation, the dynamic contact coefficient is proposed. On the base of the classical theory of thin plate, by using von Kaman equations the governing equations of the rectangular plate subjected to low velocity is built. Considering the effect of the structural deformation, the governing equations of contact force is coupled with that of the plate, thus the finite difference method is used and the displacement functions is discrete in space domains. Also, the Newmark method is used and the whole problem is solved by applying iterative method. The results shows the influence of boundary condition, material of the plate, impact speeds and other factors on the displacement, normal stress and contact force while considering the effect of the structural deformation.
keywords: Engineering mechanics Low velocity impact Rectangular plate Nonlinear dynamic response;
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矩形板低速冲击下考虑结构变形的非线性分析
摘要:本文基于von-Karman方程和经典薄板理论,建立冲击载荷下以中面位移表示的单层板的非线性运动控制方程。基于von-Karmon薄板理论、赫兹接触理论,考虑了结构变形的影响、几何非线性效应,提出并建立了薄板结构的非线性动态接触模型。并通过使用有限差分法和Newmark法将问题在空间中和时域内分别进行离散,再使用电算法进行数值求解。通过数值算例,分析了模型及其计算中相关参数的选取要求,以及冲击过程中冲击速度、冲击物大小、被冲击板的厚度、材料等参数对冲击过程中的无量纲挠度和正应力等结果的影响。
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矩形板低速冲击下考虑结构变形的非线性分析
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