(1 北京工业大学建筑工程学院，100022； 2 河北建筑工程学院。张家口075024)
［提要］对影响多索预应力桁架结构优化设计的变量，包括索力值和截面尺寸进行研究。考虑了预应力作用阶段及预应力和荷载共同作用阶段的性态约束条件，建立了以结构重量最小为目标函数的数学优化模型。在求解方法上，用满应力准则法确定索力值和截面尺寸并将索力值的求解转化为线性规划模型。算例表明，方法具有较好的计算效率和收敛性。
［关键词］预应力桁架结构；索力值优化；截面尺寸优化；线性规划
Optimization Design of Prestressed Truss Structures with Multiple Cables/Yang Haijun1,2, Zhang Ailin1 (1 Architecture & Civil Engineering Department, Beijing University of Technology，Beijing 100022, China; 2 Hebei Institute of Architecture and Civil Engineering, Zhangjiakou 075024, China)
AAbstractIt is discussed the optimization design of multiple cables supported prestressed truss with its design variables including cables pretension force and crosssectional size. The constraint conditions of the stage of applying prestress and the stage of applying prestress and load together are considered, and the mathematics model is founded with its objective function to minimize the structural weight. In order to solve the problem, the fully stressed criterion is applied to calculate crosssectional size and pretension force of cables and then change the solution of cables pretension force into linear programming mathematics model.The examples indicate that the method is effective and convergent.
Keywords:prestressed truss structure; pretension force optimization; crosssectional size optimization; linear programming
*国家自然科学基金资助项目(50678012)；北京市科委科技奥运专项资助项目(Z0005191040111)。