中文核心期刊
CSCD来源期刊
中国科技核心期刊
RCCSE中国核心学术期刊

Journal of Chongqing Jiaotong University(Natural Science) ›› 1994, Vol. 13 ›› Issue (1): 35-40.

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Convex Analysis of Statically Indeterminate stresses

Li Youxing   

  1. Southwestern Petrolium Instiute
  • Received:1993-08-13 Revised:1993-08-13 Online:1994-03-15 Published:2015-04-15

超静定应力的凸分析

李有兴   

  1. 南充西南石油学院
  • 作者简介:李有兴,男,53岁,讲师

Abstract: In this paper,the in terseetion of cunstitutive set and geometrical set is first found,then from this,the intersection with equilibrium set.This is a method of convex Analysis in solving the Priblems of conditional extreme value for convex Programming.Statically indeter minate streses,which have a power fumction rela- tion of stress and strain,are determined by means of this method in this paper.Examples show that the results are coincided well with other methods and this method is available for practioe.?

Key words: staticlly, indeterminateness, convex analysis, constitutive set, geometrieal set, eguilibrium set, stress bar system structures, conditlonal extreme value

摘要: 本文先由本构集和几何集求出交集,然后以此与平衡集求出三者的交集,这是凸分析求解凸规划条件极值问题的方法.用此法确定应力与应变呈幂函数关系的超静定应力,得到了令人满意的效果.算例结果表明,与其他方法完全相符,可供实际参考.

关键词: 超静定, 凸分析, 本构集, 几何集, 平衡集, 应力, 杆系结构, 条件极值

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