| 应力约束下预应力钢桁架离散变量优化设计 |
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| 引用本文： | 姚力,张爱林,杨海军.应力约束下预应力钢桁架离散变量优化设计[J].北京工业大学学报,2011,37(3):368-374. |
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| 作者姓名： | 姚力 张爱林 杨海军 |
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| 作者单位： | 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;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); 河北省科技厅项目资助(072156184) |
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| 摘 要： | 对影响预应力钢桁架优化设计的2类变量,包括连续的索力值和离散的截面尺寸进行研究.建立了以应力和结构质量为约束条件、以最小化结构应变能为目标函数的数学优化模型.以杆件在预应力和外荷载共同作用下储存应变能最小确定施加在索上的预拉力.计算构件由于尺寸改变引起结构质量变化和应变能变化之比的相对差商,以此确定搜索方向.应用渐进结构优化法逐步调整构件截面尺寸,循环迭代,直至索力值和截面尺寸达到最优.算例与预应力钢结构理论结果相吻合,可为预应力钢结构工程设计提供最优的索力值和型钢的选择.
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| 关 键 词： | 预应力钢桁架 离散变量 索力值优化 相对差商 |
Discretion Variable Optimization Design of Prestressed Steel Truss With Stress Constrains |
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| YAO Li,ZHANG Ai-lin,YANG Hai-jun.Discretion Variable Optimization Design of Prestressed Steel Truss With Stress Constrains[J].Journal of Beijing Polytechnic University,2011,37(3):368-374. |
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| Authors: | YAO Li ZHANG Ai-lin YANG Hai-jun |
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| Affiliation: | YAO Li1,ZHANG Ai-lin2,YANG Hai-jun1,2(1.Hebei Institute of Architecture and Civil Engineering,Zhangjiakou Hebei 075024,China,2.Architecture and Civil Engineering Department,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | It is discussed the optimization design of prestressed cable supported steel truss with its design variables including continuous cables' pretension force and discrete cross section size.A optimization mathematical model is established in such a form that the member's stress and structural mass are constrain conditions and the minimum structural strain energy is the objective function.The cables' pretension force can be determined by minimizing all member bars strain energy when prestress and external load ... |
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| Keywords: | prestressed steel truss discretion variable cables' pretention force optimization relative difference quotient |
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