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用边界元法计算变截面变轴力柱的屈曲
引用本文:罗延宝,王德钊.用边界元法计算变截面变轴力柱的屈曲[J].航空学报,1989,10(9):497-500.
作者姓名:罗延宝  王德钊
作者单位:河北煤炭建筑工程学院 (罗延宝),西北工业大学(王德钊)
摘    要: 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 d2/dx2EI(x)dw/dx2]+p(x)d2x/dx2=0,E——弹性模量;W——挠度;I(x)——截面处的横截面惯性矩;P(x)——x截面处的轴向压力;x——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。

关 键 词:屈曲    边界元法  
收稿时间:1987-12-20;

CALCULATION OF CRITICAL BUCKLING LOAD OF VARIABLE CROSS-SECTION ELASTIC COLUMNS UNDER AXIAL VARYING COMPRCSSIVE LOAD BY BEM
Hebei Coal and Civil Engineering CollegeLuo YanbaoNorthwestern Polytechnical University Wang Dezhao.CALCULATION OF CRITICAL BUCKLING LOAD OF VARIABLE CROSS-SECTION ELASTIC COLUMNS UNDER AXIAL VARYING COMPRCSSIVE LOAD BY BEM[J].Acta Aeronautica et Astronautica Sinica,1989,10(9):497-500.
Authors:Hebei Coal and Civil Engineering CollegeLuo YanbaoNorthwestern Polytechnical University Wang Dezhao
Institution:Hebei Coal and Civil Engineering CollegeLuo YanbaoNorthwestern Polytechnical University Wang Dezhao
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.
Keywords:buckling  columns  boundary element method    
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