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．
In reference (1), the dynamic responce of an impacted elastic plate is analysed. Using the method in reference (1) is on condition that impacting body isrigid and the relation between impact reacting force and partial deformation isknown in this paper, simulate formula of impact reaching foce function is presented. WithoUt assumption of impacting body, dynamic responce in impact procedure is considered, avoiding the problem of partial deformation. Because ofanalysis of law of momentum conservation, impulse theorem, dynamic differentialequation and numerical method, the method in this paper is more suitable forapplieation. Examples of the application are given. In precision the solution inthis paper is identical with known correct solutions.
出处
《应用数学和力学》
CSCD
北大核心
1996年第7期639-644,共6页
Applied Mathematics and Mechanics
关键词
撞击
反力函数
动力响应
弹性板
粘弹性地基
impact, reafting force function, dynamic responce, numerical method
