| 考虑剪切效应时压杆临界载荷的新数值方法 |
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| 引用本文： | 施伟辰,陈宜周. 考虑剪切效应时压杆临界载荷的新数值方法[J]. 应用力学学报, 1992, 0(2) |
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| 作者姓名： | 施伟辰 陈宜周 |
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| 作者单位： | 中国纺织大学(施伟辰)，江苏工学院(陈宜周) |
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| 摘 要： | 熟知,计入剪切效应时压杆临界载荷的求解归为某些常微分方程的特征值问题,本文提出一种求解该种问题的新数值方法.此种方法的思想是基于将特征值问题转化为同一方程的初值问题,要点为:(1)首先在积分始端取一个补充的初值,(2)又取一个暂设的特征值,(3)数值求解此微分方程的一个初值问题,(4)多次试凑和改变暂设特征值,让终端条件得到满足.数值算例已在文中给出.
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| 关 键 词： | 杆屈曲 剪切效应 特征值问题 临界载荷 |
A New Numerical Procedure for Evaluating Buckling Load of Bars Considering Shear Effect |
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| Ski Weichen. A New Numerical Procedure for Evaluating Buckling Load of Bars Considering Shear Effect[J]. Chinese Journal of Applied Mechanics, 1992, 0(2) |
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| Authors: | Ski Weichen |
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| Affiliation: | Ski Weichen(China Textile University) Chen Yizhou(Jiangsu Institute of Technolgy) |
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| Abstract: | It is well known that the problem of evaluating the buckling load of bars considering shear effect is reduced to the eigenvalue problem of some ordinary differential equations. In this paper, a new numerical procedure based on converting the eigenvalue problem to some particular initial-value problems of the same equations is pressented. The main points are as follows: (1) takes some additional initial values, (2) assumes an eigenvalue temporary, (3) integrates the initial problem of the ordinary differential equations numerically, and (4) tires the above mentioned process repeatedly, so as to satisfy the end point conditions. To explain our study, the numerical examples are given. |
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| Keywords: | buckling of a bar shear effects eigenvalue problems buckling load |
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