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粘弹性地基上弹性板受刚体撞击的动力响应分析
引用本文:黄伟,邹毅达.粘弹性地基上弹性板受刚体撞击的动力响应分析[J].工程力学,1993,10(1):112-118.
作者姓名:黄伟  邹毅达
作者单位:华东工学院 (黄伟),华东工学院(邹毅达)
摘    要:本文针对工程实际中所遇到的撞击问题,在事先仅知撞击体初始速度的情况下.研究分析了半无限粘弹性Winkler地基上的矩形弹性薄板受刚体撞击的动力响应问题,推导出了关于撞击力F(t)的非线性Volterra积分方程,给出了薄板位移响应W(x,y,t)的一般表达式,并给出了求解计算的数值方法。作为应用实例,本文对弹性方薄板受刚球撞击问题进行了分析计算,并与无粘性支承时的结果进行了对比讨论.

关 键 词:撞击  粘弹性地基  动力响应  矩形板

Dynamic Response of an Elastic Plate on A Viscoelastic Foundation Collided by A Moving Rigid Body
Huang Wei Zou Yida.Dynamic Response of an Elastic Plate on A Viscoelastic Foundation Collided by A Moving Rigid Body[J].Engineering Mechanics,1993,10(1):112-118.
Authors:Huang Wei Zou Yida
Affiliation:East China Institute of Technology
Abstract:In this paper,the dynamic response of a rectangular elastic plate on a half-space viscoelastic Winkler foundation collided by a moving rigid body is discussed. To analyze the impact problem, a non-linear Volterra integral equation with impact force F(t) is derived, and a numerical computation method for the equation is used. A practical example is computed, and the results are compared with those on the non-viscoelastic foundation.
Keywords:impact  viscoelastic foundation  dynamic response  rectangular plate  
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