Inverse Perturbation Method for Inverse Eigenvalue Problem Based on Finite Element Analysis

摘要

An inverse perturbation method is described for solving the general inverse eigenvalue problem. By taking the analysis of the rotor system as example based upon FEM, the new inverse perturbation method for structural design with specified low-order natural frequencies or frequency constraint bands is detailed as well as its complete theoretical basis. Moreover, formulations to calculate the inverse perturbation parameter ε and method to select the corresponding ε's value properly are also proposed. The proposed method is characterized in reducing frequency analysis and suitable for large and small structural changes alike. Finally, several different numerical examples for inverse eigenvalue problem are discussed to illustrate the method, which show that this inverse perturbation method is general and can be applied to other type of structure or element.