基于生物地理学算法的桁架结构优化

Structural optimization of truss structure based on biogeography-based optimization

针对具有离散变量的桁架结构优化问题,提出了基于生物地理学算法的尺寸、形状与拓扑一体式优化方法。以杆件截面尺寸、结构形状与节点连接形式作为设计变量,以结构质量最小为目标函数,考虑以结构刚度、强度和杆件的稳定性作为约束条件,建立一种基于生物地理学算法的优化模型,采用罚函数法处理约束条件,对平面和空间桁架结构进行布局优化。优化后的桁架杆件排布形式合理且质量最优。

For the discrete variable optimization problem of the truss structure,an integrated optimization method of size,shape and topology based on biogeography-based optimization is proposed.Taking the cross-section size,structural shape and node connection form of the rods as design variables,and the minimum structural weight as the objective function,and the strength,stiffness and stability of the structure are taken as constraints and the minimum structure mass is taken as objective function,an optimization model based on biogeography-based optimization is established.The constraint condition is dealt with by penalty function method.The layout of plane and space trusses is optimized.The optimized trusses have the reasonable layout and the best mass.