【作者】 孙鲁原； 韩志军； 饶勇； 陈昭怡；

【Author】 Sun luyuan,Han zhijun,Rao yong,Chen zhaoyi(Department of Mechanics, Taiyuan University of Technology, Taiyuan, Shanxi,China, 030024)

【机构】 太原理工大学工程力学系；

【摘要】 本文分别应用传统优化方法——满应力法和一种新的全局优化方法——遗传算法,以杆件的横截面积为设计变量对平面静定桁架结构进行了优化设计,基于此,增加一个角度设计变量,分两种情况利用遗传算法再次对平面静定桁架结构进行进一步的优化。算例表明:当力的作用角度为45°而桁架结构中斜杆与水平杆的角度β角在区间[30°45°]内变化时,桁架结构的重量随着β角的增大而增大,当β角取30°时,桁架结构的重量最小;当β角取30°而α角在区间[30°49°]内变化时,桁架结构的重量随着α的增大而减小。这也充分说明了遗传算法对平面静定桁架结构的优化是有效的、可行的。更多还原

【Abstract】 In this paper, a traditional optimization algorithm--the fully stress method and a new globaloptimization algorithm--genetic algorithm are used for the optimization design of the planar staticallydeterminate truss structure respectively with design variables of crossover areas of beams. On the basis of above, the optimization design of the planar statically determinate truss structure is discussed again by means of genetic algorithm when the angle varies in two conditions. The numerical calculation shows that when the angle of force is 45° and β varies in [30° 45° ], the weight of truss structure increase with increasing of β, and truss structure has the lightest weight when β is 30° ; And when β is 30° and α varies in [30° 49°], the weight of truss structure decrease with increasing of α . This fully indicates that the genetic algorithm is effective and feasible to the optimization design of the planar statically determinate truss structure.更多还原