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winkler地基上弹性圆薄板受刚体撞击的动力响应
THE DYNAMIC RESPONSE OF AN ELASTIC CIRCULAR PLATE ON A VISCOELASTIC WINKLER FOUNDATION IMPINGED BY A MOVING RIGID BODY
【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条件下,研究分析了半无限粘弹性Winkler地基上的弹性圆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(r,θ,t)的一般表达式,并给出了相应的数值求解方法。作为实例,本文对周边固定的弹性圆薄板在圆心处受刚球撞击问题进行了分析计算,并对某些参数的影响进行了讨论。
【Abstract】 In this paper, the dynamic response problem of an elastic circular plate on a half-space viscoelastic winkler foundation impinged by a moving riged body is discussed. To analyze the problem, a non-linear volterra integral equation of impact force F(t) is deduced, and a numerical computation method is used to solve the problem. At the end ,a practical example is presented, and the effect of some parameters is studied
【关键词】 撞击;
粘弹性地基;
动力响应;
圆板;
【Key words】 impact; viscoelastic foundation; dynamic response; circular plate;
【Key words】 impact; viscoelastic foundation; dynamic response; circular plate;
- 【文献出处】 爆炸与冲击 ,Explosion and Shock Waves , 编辑部邮箱 ,1992年03期
- 【被引频次】2
- 【下载频次】72