具有多阶频率与振型约束的结构动力学优化设计

本文研究了在多阶固有频率约束的情况下,通过改变结构的尺寸进行结构动力学优化,使多阶振型的节点同时满足位置要求的问题。采用尺寸优化方法,首先建立了振型节点位置与结构尺寸之间的变量关系,然后在给定的约束条件下对结构进行优化,使结构不仅满足动力约束条件,而且使结构重量达到最小。优化实例表明,采用本文的方法,能够有效地解决工程结构设计中涉及到的一类具有多阶固有频率、振型节点位置要求的结构动力学优化设计问题。

Structural dynamics optimization design with constraints of multiple natural frequencies and modal shape

In this paper,a structural dynamics design problem is studied to meet the demands of multiple nodal positions of modal shapes,by shifting the sizes of the structure,with multiple natural frequencies constraints.The relation between nodal location of modal shape and structural sizes is established with size optimization method firstly,and then with given constraints the optimal solutions are obtained by optimization method.They meet with the given constraints and the structural mass is the best.Practical optimization applications prove that this method can effectively solve the problems in the dynamics optimization design of practical engineering structures with the demands of multiple natural frequencies and nodal positions of modal shape.