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中文摘要：
纸论述是为影响问题的当前的方法的哈密尔顿变化原则的理论，是有限元素(FE ) 的有效答案的中央差别方法为影响问题的方法并且适应解决非线性的动态问题。并且它介绍国内外是为影响问题的流行 FE 软件的 ANSYS/LS-DYNA。然后，验证软件的功能分别地由分析方法和 ANSYS/LS-DYNA 为一个简单模型给解决方案，并且他们是历久不渝的。后来，它与 60 m ，和柱体影响的跨度给单个层的 Kiewitt 网状的屋顶的模型或，并且介绍接触接口算术，钢的特别材料模型(片明智的线性粘性模型)它考虑污点率并且在影响负担下面更高使钢成为失败应力。垂直排水量，在主要成员的压力，和为在影响负担下面的屋顶的塑料变丑被获得。然后，四个失败模式(没有失败，中等失败，全球失败和细微失败) 根据动态反应的规则被总结。并且为每个失败模式的动态反应的特征被显示出。
英文摘要：
The paper presents the theory of Hamilton variation principle which is the current method for impact problem, central difference method which is efficient solution of finite element （FE） method for impact problem and adapts to solve non-linear dynamic problem. And it introduces the ANSYS/LS-DYNA which is the popular FE software for impact problem both at home and abroad. Then it gives solutions for one simple model by analytical method and ANSYS/LS-DYNA respectively to validate function of software, and they are consistent. Afterward, it gives model of singlelayer Kiewitt reticulated dome with a span of 60 m, and the cylinder impactor, and introduces the contact interface arithmetic, especially the material model of steel （piecewise linear plasticity model） which takes stain rate into account and makes steel failure stress higher under impact loads. The vertical displacement, stress in main members, and the plastic deformation for dome under impact loads were obtained. Then four failure modes （no failure, moderate failure, global failure and slight failure） were summarized according to the rules of dynamic response. And the characteristics of dynamic response for each failure mode were shown.
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