爆炸荷载作用下板结构瞬态动态大挠度分析

T. Teng, C. Liang, Ching-Cho Liao
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引用次数: 15

摘要

采用阶跃函数和指数衰减函数模拟了爆炸荷载作用下面板结构的瞬态动力响应。基于Bauer方法,采用Galerkin方法,将板的von Karman非线性方程转化为duffing型非线性常微分方程,然后采用Lindstedt-Poincare摄动法求解。对方形板进行了全夹紧和全简支边缘条件下的完整分析。用一个扰动项计算的挠度历史和应力结果与相关文献和有限元法计算的结果具有充分的相关性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Transient Dynamic Large-Deflection Analysis of Panel Structure under Blast Loading
The transient dynamic response of a panel structure subjected to blast loading was investigated, as simulated by the step function and the exponentially decaying function. Based on the Bauer methodology, and applying Galerkin's method, the von Karman nonlinear equations of plates could be transformed into Duffing-type nonlinear ordinary differential equations and then solved by adopting the Lindstedt-Poincare perturbation method. The complete analysis of square plates was carried out for all-clamped and all-simply supported edge conditions. The results of deflection history and stress resultants using one perturbation term were sufficiently correlated with results both from related literature and obtained by the finite-element method.
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