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求极限荷载的线性规划解
引用本文:王春瑞,吉金标. 求极限荷载的线性规划解[J]. 天津大学学报(自然科学与工程技术版), 1986, 0(4)
作者姓名:王春瑞  吉金标
作者单位:天津大学土木工程系(王春瑞),天津大学土木工程系(吉金标)
摘    要:本文以增量理论为基础,取刚塑性理想化材料模型,确定刚塑性分析时的本构方程,由机构条件、变形谐调条件及平衡条件组成结构方程,并应用上限定理和下限定理分别建立用线性规划方法求极艰荷载的数学表达式,本文最后以桁架为例,说明其计算方法。

关 键 词:极限荷载  线性规划  对偶  塑性势  破坏机构  变形谐调

SOLVING THE ULTIMATE LOADS BY LINEAR PROGRAMMING
Wang Chunrui Ji Jinbiao. SOLVING THE ULTIMATE LOADS BY LINEAR PROGRAMMING[J]. Journal of Tianjin University(Science and Technology), 1986, 0(4)
Authors:Wang Chunrui Ji Jinbiao
Affiliation:Department of Civil Engineering
Abstract:Based on the flow theory and rigid-plastic idealized model, the constitutive law and governing condition for rigid-plastic analysis are determined. According to the upper bound and lower bound theory, themathematical expressions for finding the ultimate load by means of the linear programming approach are established. Taking a truss as an example, the process of calculation is illustrated.
Keywords:ultimate load   linear programming   dual   plastic pontential   olclapse mechanism   compatibility.
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