航空学报 > 1989, Vol. 10 Issue (9): 497-500

用边界元法计算变截面变轴力柱的屈曲

罗延宝1, 王德钊2   

  1. 1. 河北煤炭建筑工程学院;2. 西北工业大学
  • 收稿日期:1987-12-20 修回日期:1900-01-01 出版日期:1989-09-25 发布日期:1989-09-25

CALCULATION OF CRITICAL BUCKLING LOAD OF VARIABLE CROSS-SECTION ELASTIC COLUMNS UNDER AXIAL VARYING COMPRCSSIVE LOAD BY BEM

Luo Yanbao1, Wang Dezhao2   

  1. 1. Hebei Coal and Civil Engineering College;2. Northwestern Polytechnical University
  • Received:1987-12-20 Revised:1900-01-01 Online:1989-09-25 Published:1989-09-25

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/dx2[EI(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, 柱, 边界元法

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.

Key words: buckling, columns, boundary element method