有频率与振型节线位置要求的结构动力学设计

本文提出了一种同时满足固有频率、振型节线（点）位置要求的结构动力学设计方法。该方法先建立了振型节线（点）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；文中同时还给出在模态空间中的固有频率、固有振型的灵敏度分析数值计算方法．算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（点）位置要求的结构动力学设计问题。

Structural Dynamical Design with Demands of Natural Frequencies and Locations of Nodal Line of Modal Shape

This paper presents a dynamic design method which will satisfy demands of natural frequencies and locations of nodal line of normal modes. First off all, the relation between location of nodal line and design variables is established, and then, the design solution will beobtained by optimization with constraints. Additionally, methods of sensitivity analysis ofnatural frequency and normal mode are presented too. The calculated example shows themethod'S efficiency for engineering structural dynamic design with demands of natural frequencies and locations of nodal line of normal modes.