模型修正的逆特征灵敏度方法

本文将文献1]提出的无阻尼系统逆特征灵敏度理论推广到线性粘性阻尼系统中,推导了线性粘性阻尼系统的一阶逆特征灵敏度公式。本文还探讨了将逆特征灵敏度理论用于修正结构动力模型的方法,并对简单的例子进行了计算机数值模拟。算例表明,利用该法无需分段线性迭加就能在修正量较大的情况下达到较高的精度。此法与其他模型修正方法比较,具有公式简单、物理意义明确,修正精度高等优点。

The Inverse-Eigen Sensitivity Method for Modifying the Structure Dynamics Method

In this paper, the invers-eigen sensitivity theory of undamped system,which is pre- sented by the reference 1], is spreaded to linear viscous damped system. The first - order inverse- eigen sensitivity fomula applicable to linear viscons damped system is derived. The method for apply- ing the invers-eigen sensitivity theory to modifying structural dynamics model is cosidered in this paper,and using simple example the computer simulation is processed. The numerical examples inde- cate that the higher accuracy can be obtained without considering piecewise linear superposition. when the modification quantities are greater. Compared with other methods for modifying model,this method possesses some advantages: simple formula. high accuracy, clear and definite physics con- cept.