ANALYSIS OF TRUSSES WITH NONLINEAR MATERIALS BY USING ENERGY PRINCIPLES AND SEQUENTIAL QUADRATIC PROGRAMMING
ANALYSIS OF TRUSSES WITH NONLINEAR MATERIALS BY USING ENERGY PRINCIPLES AND SEQUENTIAL QUADRATIC PROGRAMMING
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使用能量原理和顺序二次规划分析非线性材料桁架
DOI：
10.2208/jscej.1986.374_427
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
Yasuo Watada
中科院分区：
文献类型：
--
作者：
S. Ohkubo;Yasuo Watada
利用能量原理和序列二次规划（SQP）算法，提出了求解非线性材料桁架结构的新方法。采用改进的SOP算法将非线性桁架的解析问题表述为总势最小化问题或互补能最小化问题，并分别对面板点的位移或构件力进行最小化。能量方法的公式非常简单，可以适用于任何类型的非线性材料问题。对几种非线性材料的3-31杆超定格桁架的计算结果表明，基于互补能量最小化的方法收敛性和可靠性最好，与增量荷载法相比，非线性桁架分析的最终结果可以得到小于2/3 ~ 1/3的计算量。
New analytical methods for trusses with nonlinear materials are presented by using energy principles and sequential quadratic programming (SQP) algorithms. The analytical problem of nonlinear truss is formulated as the total potential or complementary energy minimization problem and minimized with respect to the displacements of panel points or member forces respectively by using modified SOP algorithms. The formulations of the energy methods are quite simple and the methods can be applicable for any types of nonlinear material problems. Computational results for 3-31 bar statically indeterminate trusses with several types of nonlinear materials show that convergency and reliability of the method based on the complementary energy minimization is most excellent and the final results of nonlinear truss analyses can be obtained less than 2/3-1/3 of computational efforts compared with the incremental load method.