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自平衡端头载荷问题衰减率的分析与计算
引用本文:王颖坚,徐颖,王敏中. 自平衡端头载荷问题衰减率的分析与计算[J]. 力学学报, 1995, 27(4): 440-450. DOI: 10.6052/0459-1879-1995-4-1995-452
作者姓名:王颖坚  徐颖  王敏中
作者单位:北京大学力学系
基金项目:高等学校傅士学科点专项科研基金
摘    要:给出了自平衡端头载荷问题应力衰减率分析的一种方法.用边界单元法求得了在端面自平衡载荷作用下,具有椭圆截面和矩形截面的弹性柱体内应力场的最小衰减率。计算结果表明:当椭圆截面的长短轴之比和矩形截面的长宽之比变化时,最小衰减率变化很小.

关 键 词:自平衡端面载荷 应力衰减率 弹性力学

ANALYSIS AND COMPUTATION OF STRESS DECAY RATE OF SELF-EQUILIBRATED END LOAD PROBLEM
Wang Yingjian,Xu Ying,Wang Minzhong. ANALYSIS AND COMPUTATION OF STRESS DECAY RATE OF SELF-EQUILIBRATED END LOAD PROBLEM[J]. chinese journal of theoretical and applied mechanics, 1995, 27(4): 440-450. DOI: 10.6052/0459-1879-1995-4-1995-452
Authors:Wang Yingjian  Xu Ying  Wang Minzhong
Abstract:This paper presents a method for stress decay rate analysis of the self-equilibrated end load problem.Using the boundary element method,the minimum stress decay rate of elastic cylinder with elliptical or rectangular section,subjected to the self-equilibrated end load is obtained.The numerical results show that the variation of the minimum decay rate is small when the ratio of the longer axis to the shorter one ofthe ellip-tic section or the ratio of the length to the width of the rectangular section of the cylinder is changed.
Keywords:self-equillbrated end load   Saint-Venant’s principle   stress decay rate  
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