Abstract

In this paper, we embark on analytical determination of the dynamic buckling of a statically pre-loaded elastic structure subjected to step loading. We first employ a two-timing regular perturbation procedure for asymptotic determination of a uniformly valid expansion of the displacement. The dynamic buckling load is determined nontrivially and is related to the corresponding static load. The dynamic buckling load is studied as a function of various problem parameters: degree of damping, initial imperfection, and static pre-loading.

中文翻译：

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静态预加载但有阻尼的弹性结构动力屈曲的摄动方法

摘要

在本文中，我们着手分析确定​​承受阶跃荷载的静态预载弹性结构的动态屈曲。我们首先采用两定时正则摄动程序来渐近确定位移的有效均值展开。动态屈曲载荷的确定很简单，并且与相应的静态载荷有关。根据各种问题参数研究动态屈曲载荷：阻尼度，初始缺陷和静态预载荷。