【摘要】 本文研究特征值反问题的求解方法。根据广义特征值反问题理论和有限元法的特点 ,以转子系统平面梁单元有限元模型结构分析的特征值反问题求解为例 ,给出一种新的逆摄动方法。给出了本逆摄动法较完整的理论基础 ;给出了其逆摄动参数的显式计算公式及相应的取值方法。本逆摄动法也可推广到其他单元类型的有限元模型特征值反问题的求解更多还原

【Abstract】 This paper discusses the solution method for inverse eigenvalue problem. A new inverse perturbation method is presented for the design of structure with specified low-order natural frequencies or with specified frequency constraint bands. This is based on the investigation of solving inverse eigenvalue problem for a finite element analysis of the rotating system according to theory of generalized inverse eigenvalue problem and the characteristic of finite element analysis. The complete theoretical basis of the new method is described, formulation of the inverse perturbation parameter ε and the method to select the corresponding ε’s value properly is also proposed. This inverse perturbation method is general and can be applied to other type of structure or element.更多还原