有频率、振型节线位置要求的结构动力学优化设计

本文提出了一种同时满足固有频率、振型节线位置等要求的结构动力学设计方法。该方法先建立了振型节线位置及变化与独立设计参数的关系，然后在某些约束下利用优化方法求解设计结果，文中同时还给出了模态空间中固有频率、振型灵敏度分析的数值计算方法。实例表明它能有效地解决一些工程结构设计时涉及到固有频率、振型节线位置要求的结构动力学设计问题。

Structural dynamics optimum design with given frequencies and position of mode shape node lines

In this paper,a new structural dynamics design method is developed to meet the require-ment of natural frequencies and the position of mode shape nodal lines,First,the relation be-tween the variation of the position of mode shape nodal lines and independent design parame-ters is determined,and then the design results are obtained by optimization method undersome constraints,In addition a numerical method is given for calculating the sensitivity ofeigensolution in modal space. Practical application shows that the method can effectivelysolve the problems in the dynamics design of practical engineering structures with natutalfrequencies and mode shape nodal lines etc.