摘要
考虑到传统生物生长法只能对简单形状进行优化的局限性,结合复杂结构的三维形状优化设计,对生物生长法提出三点改进:①不直接采用修正后节点坐标来调整网格,利用B样条函数描述修改后结构的外边界。②构造出在满足应力和几何条件下可使结构重量最轻的目标函数,进而大大增强了生物生长法在处理复杂结构形状优化设计方面的能力。③在生物生长法形状优化过程中,采用罚方法对违反约束条件的个体给予惩罚。作为工程实例,该方法被用于某三维离心叶轮的结构形状优化设计。计算结果表明,该方法可在较短时间内得到满足各种应力和几何约束的重量最轻解。
The traditional biological growth method onlyoptimizes the sample shape. A modified biological growth method that enables the shape optimization of structures with complex geometry to be achieved in an effective manner is presented. The improvements include three aspects. First, the grids in FEM model are not modified with the node coordinates, the boundary of the structure is described using B-spline curve. Second, the cost function is formulated that allows the weight of the structure to be minimized subject to a set of geometrical and stress constraints. So the ability of the biological growth method is enhanced to optimize the design of the complexgeometry. Third, during the evolution of the shape optimization, the penalty method is used to deal with the individual that violates the constraint condition. As an example of application, the modified method has been successfully used to handle the shape optimization of centrifugal impellers.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2004年第12期65-70,共6页
Journal of Mechanical Engineering
关键词
生物生长
形状优化
离心叶轮
<Keyword>Biological growth method Shape optimization Centrifugal impeller
