弹性板受撞击的动力响应分析
Analysis of Dynamic Responce of an impacted Elastic Plate
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摘要: 文献[1]分析了弹性板受撞击的动力响应,应用该方法的条件是撞击物可视为刚体且接触局部变形与撞击力的关系已知。木文提出了碰撞过程中碰撞反力的模拟表达式,对撞击物不作任何假设,避开接触局部变形问题,只考虑碰撞过程中板的动力响应,利用冲量、动量关系和动力微分方程及数值方法求解,因此适用范围更广。文中给出了算例,与已有正确解答符合得很好。Abstract: In [1], the dynamic response of an impacted elastic plate is analysed. Using the method in [1] is on condition that impacting body is rigid and the relation between impact reacting. force and partial deformation is known In this paper. Simulate formula of impact reacting force. function is presented. Without assumption of impacting body, dynamic response in impact procedure is considered avoiding the problem of partial deformation. Because of analysis by law of momentum conservation. impulse theorem, dynamic differential equation and numerical method the method in this paper is more suitable for application. Examples of the application are given. In precision, solution in this paper is identical with known correct solution.
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Key words:
- impact /
- reacting force function /
- dynamic response /
- numerical method
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[1] 黄伟、邹毅达,粘弹性地基上弹性板受刚性体撞击的动力响应分析,工程力学,(1993). [2] 孙焕纯、宋亚新,结构碰撞的动力响应分析,计算结构力学及其应用,(1994). [3] 冯康.《数值计算方法》.国防工业出版社(1978),
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