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用边界元法计算变截面变轴力柱的屈曲
CALCULATION OF CRITICAL BUCKLING LOAD OF VARIABLE CROSS-SECTION ELASTIC COLUMNS UNDER AXIAL VARYING COMPRCSSIVE LOAD BY BEM
【摘要】 <正> 1.变截面变轴力柱屈曲计算的边界元法 变截面变轴力柱的挠曲方程的一般形式为式中 E——弹性模量;W——挠度;I()——截面处的横截面惯性矩;P()——截面处的轴向压力;——轴向坐标。 (1)式是非线性常微分方程,本文采用微分方程分解法,将(1)式分解成两个二阶变系数常微分方程。即
【Abstract】 In this paper, the Bouudary Element Method (BEM) is employed to calculate the critical buckling load of elastic columns with varying cross-sections under axial varying compressive load. A set of results is calculated for several Cases. In order to illustrate the accuracy and applicability of the method for Column buckling analysis, the results obtained by this method are compared with analytical solutions.
【基金】 国家教委科技基金
- 【文献出处】 航空学报 ,Acta Aeronautica Et Astronautica Sinica , 编辑部邮箱 ,1989年09期
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