南京理工大学学报（自然科学版）2018，Vol.42Issue(1)：8-17,10.DOI:10.14177/j.cnki.32-1397n.2018.42.01.002
基于Riccati传递矩阵法的线性树形多体系统特征值求解
Computation of eigenvalues of linear tree multibody system based on Riccati transfer matrix method
摘要
Abstract
In order to improve the numerical stability in computing the eigenvalues of linear tree multibody systems in the context of transfer matrix method for multibody system(MSTMM),the eigenvalue solving strategy of linear tree multibody systems is studied based on the Riccati transfor-mation. The recursive relations of the Riccati transfer matrices between the input and the output ends of elements is established. Starting from each input end of a tree system,the Riccati transfer matrices of the connection ends of each element are obtained along the transfer path successively. The charac-teristic equation of the system expressed by Riccati transfer matrix is derived. The searching step can be increased when solving the characteristic equation by proposing a technique to eliminate the poles of the characteristic equation. The proposed method is verified by comparing the results of the numerical example with the results of the finite element method(FEM). And it also proves that the proposed method has better numerical stability relative to the normal MSTMM.关键词
Riccati传递矩阵法/多体系统传递矩阵法/线性多体系统/特征值/数值稳定性/方程极点Key words
Riccati transfer matrix method/transfer matrix method for multibody system/eigenvalue/linear multibody system/numerical stability/poles of equation分类
通用工业技术引用本文复制引用
顾俊杰,芮筱亭,张建书,陈刚利..基于Riccati传递矩阵法的线性树形多体系统特征值求解[J].南京理工大学学报（自然科学版）,2018,42(1):8-17,10.基金项目
国家自然科学基金(11472135) （11472135）
科学挑战专题资助(JCKY2016212A506-0104) （JCKY2016212A506-0104）
