计算物理 ›› 1994, Vol. 11 ›› Issue (2): 134-140.

• 论文 • 上一篇    下一篇

受撞击Winkler基支弹性板的撞击力计算及其动力响应分析

黄伟, 邹毅达   

  1. 南京理工大学, 南京 210014
  • 收稿日期:1992-04-04 修回日期:1993-05-12 出版日期:1994-06-25 发布日期:1994-06-25

COMPUTATION OF IMPACT FORCE AND ANALYSIS OF DYNAMIC RESPONSE ON IMPACTED ELASTIC PLATES WINKLER FOUNDATION-SUPPORTED

Huang Wei, Zou Yida   

  1. Nanjing University of Science and Technology, Nanjing 210014
  • Received:1992-04-04 Revised:1993-05-12 Online:1994-06-25 Published:1994-06-25

摘要: 研究了半无限线性粘弹性Winkler基础上的任意形状弹性板受低速物体撞击的动力响应分析问题,在仅知撞击体初始运动速度的条件下,推导出了关于撞击力F(t)的的非线性Volterra积分方程,得出了板的横向位移响应W(x,y,t)的一般表达式,并给出了一种求解计算的数值方法。计算了四边简支弹性方板和周边固定弹性圆板在中心受刚球横向撞击问题,并对结果进行了讨论。

关键词: 撞击, 动力响应, 弹性板, Winkler基础

Abstract: Discussion covess dynamic response problem of an elastic plate with arbitrary boundary shapes on a half-space linear viscoelastic Winkler foundation impacted by a moving body.Undes the condition of a known initial velocity of the body, a non-linear Volterra integral equation on impact force F(t) is deduced, and the dynamic transverse deflection W(x,y,t) of the plate is put forward. To solve the integral equation, an effective numerical computation method is used. At the end, results of two practical examples are shown and discussed.

Key words: impact, dynamic response, elastic plate, Winkler foundation

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