| 含自重载荷作用下桁架拓扑优化的功射极法 |
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| 引用本文： | 欧笛声,周雄新. 含自重载荷作用下桁架拓扑优化的功射极法[J]. 工程力学, 2011, 0(7): 136-142,164 |
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| 作者姓名： | 欧笛声 周雄新 |
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| 作者单位： | 广西大学土木建筑工程学院;广西工学院工程训练中心; |
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| 基金项目： | 广西壮族自治区科技厅项目(0728013); 广西工学院项目(0977109) |
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| 摘 要： | 由含自重载荷功约束下桁架重量最小化问题的一阶极值条件导出功-重量分配准则,即结构重量应按外力功与自重载荷所做功之差的大小来正比分配才能达到最优。桁架拓扑优化的功射极法是依据不等式约束的Kuhn-Tucker极值条件以及射线步对功函数一阶偏导数的影响规律而构造的,它包括3个步骤,即：解析确定最佳射线步步长与乘子、求解功准...
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| 关 键 词： | 桁架拓扑优化 自重载荷 功射极法 全局收敛性 反变仿射变换法 |
WORK-RATIO-EXTREMUM METHOD FOR TOPOLOGY OPTIMIZATION OF TRUSSES SUBJECTED TO LOADS INCLUDING SELF-WEIGHT |
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| OU Di-sheng,ZHOU Xiong-xin. WORK-RATIO-EXTREMUM METHOD FOR TOPOLOGY OPTIMIZATION OF TRUSSES SUBJECTED TO LOADS INCLUDING SELF-WEIGHT[J]. Engineering Mechanics, 2011, 0(7): 136-142,164 |
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| Authors: | OU Di-sheng ZHOU Xiong-xin |
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| Affiliation: | OU Di-sheng1,2,ZHOU Xiong-xin2(1.School of Civil Engineering & Architecture,Guangxi University,Nanning 530004,China,2.Engineering Training Center,Guangxi University of Technology,Liuzhou 545006,China) |
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| Abstract: | The work-weight-distribution criterion is derived from the first-order extremum conditions of minimal truss weight under the work constraint with self-weight loads.It indicates that structural weight can be optimally distributed according to the difference of external force work and self-weight work.The work-ratio-extremum method of the truss topology optimization is derived from the Kuhn-Tucker conditions with inequality constraints and the regular influences of a ratio step on the first order derivations ... |
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| Keywords: | truss topology optimization self-weight loads work-ratio-extremum method global convergence affine contra-transformation method |
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