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超静定应力的凸分析

Convex Analysis of Statically Indeterminate stresses
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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. 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.
作者 李有兴
出处 《重庆交通学院学报》 CAS 1994年第1期35-40,共6页 Journal of Chongqing Jiaotong University
关键词 超静定 凸分析 本构集 几何集 staticlly indeterminateness convex analysis constitutive set geometrieal set eguilibrium set stress bar system structures conditlonal extreme value
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