桁架结构离散变量优化设计

Optimazation Design for Trusses Using Standard Sections

在综合、改进线性整数规划中的隐枚举法、分枝定界法和割平面法的基础上，形成适合离散空间规划的隐枚举法以及分枝定界加割平面法两种桁架结构离散变量优化设计方法。其数学模型以杆件截面积为设计变量，以结构的最小重量为目标函数，以杆件截面应力约束。

Two methods for optimally sizing members of trusses using commerially available standard sections are given after three methods in linear integer programming,implicit enumeration,branch and bound method and cutting method,are synthesized and improved.For static loads,a minimum weight structure is found while simultaneously ensuring stress and displacement performance conditions under applied service loads.Designs are aslo presented for a truss.