| 基于Von Mises应力的预应力钢结构拓扑优化设计 |
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| 引用本文： | 杨海军,张爱林.基于Von Mises应力的预应力钢结构拓扑优化设计[J].北京工业大学学报,2010,36(4). |
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| 作者姓名： | 杨海军 张爱林 |
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| 作者单位： | 北京工业大学,建筑工程学院,北京,100124;河北建筑工程学院,数理系,河北,张家口,075024;北京工业大学,建筑工程学院,北京,100124 |
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| 基金项目： | 国家自然科学基金项目资助(50678012);;北京市科委科技奥运专项基金项目资助(Z0005191040111);;河北省科技厅项目资助(072156184) |
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| 摘 要： | 为预应力钢结构设计获得最优拓扑构型和索力值,以结构拓扑和索力值为设计变量,以Von Mises应力为约束条件,建立了以结构质量最小为目标函数的数学优化模型.在求解方法上,首先以结构储存应变能最小(刚度最大)确定施加在结构上的索力值,然后采用渐进结构优化法删除低Von Mises应力单元实现结构的拓扑优化以减轻结构质量.算例结果与相应体系受力性能相吻合.
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| 关 键 词： | 预应力钢结构 拓扑优化 索力值优化 Von Mises应力 渐进结构优化法 |
Topology Optimization Design of Prestressed Steel Structures Based on Von Mises Stress |
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| YANG Hai-jun,ZHANG Ai-lin.Topology Optimization Design of Prestressed Steel Structures Based on Von Mises Stress[J].Journal of Beijing Polytechnic University,2010,36(4). |
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| Authors: | YANG Hai-jun ZHANG Ai-lin |
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| Affiliation: | 1.College of Architecture and civil engineering;Beijing University of Technology;Beijing 100124;China;2.Hebei Institute of Architecture and Civil Engineering;Zhangjiakou 075024;Hebei China |
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| Abstract: | To obtain optimal topology shape and cables' pretension force for prestressed steel structure,a mathematical optimization model is established in such a form that the cables' pretension force and the structural topology are referred as the design variables,the Von Mises stress as constrain condition,and the minimum of structural weight as the objective function.In order to establish the model, the method of minimizing structural strain energy(maximizing structural stiffness) is applied to calculate the cabl... |
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| Keywords: | pre-stressed steel structure topology optimization cable pretension force optimization Von Mises stress evolutionary structure optimization |
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