基于灵敏度分析方法的光学镜架动力学模型修正

论述了理论建模与实验建模的特点,介绍了模型修正方法的相关理论,采用灵敏度分析方法,分析了光学镜架的设计参数:材料的弹性模量、密度、内径、镜框厚度、镜架底部厚度、筋板厚度的灵敏度系数,通过镜架有限元仿真与模态实验结果的对比,建立一个以固有频率为修正目标的多变量动力学修正问题,对包含非线性连接关系的镜架动力学模型进行了修正,修正结果表明前四阶固有频率的平均误差为2.5%,满足工程要求,同时模态阶次也得到了修正。

Dynamical model modification of optical mirror holder based on sensitivity analysis

The characteristics of two modeling methods are discussed. Correlative theory of model modification method is introduced. The sensitivity factors of Youngs modulus, density, inner diameter and thickness of frame, motherboard and stiffened plate are obtained by sensitivity analysis. By comparing the theoretical results with the experimental data, the dynamical modification problem is established, and the dynamical model which contains nonlinear joints is updated. The results show that the average error is 2.5%, which satisfies the engineering requirements. At last, the orders are modified too.