摘要
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。
It 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 crosssectional 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.
出处
《建筑结构》
CSCD
北大核心
2007年第8期94-96,9,共4页
Building Structure
基金
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)
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
prestressed truss structure
pretension force optimization
cross-sectional size optimization
linear programming
