|Table of Contents|

Computation of eigenvalues of linear tree multibody system based on Riccati transfer matrix method(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2018年01期
Page:
8-
Research Field:
Publishing date:

Info

Title:
Computation of eigenvalues of linear tree multibody system based on Riccati transfer matrix method
Author(s):
Gu JunjieRui XiaotingZhang JianshuChen Gangli
Institute of Launch Dynamics,Nanjing University of Science and Technology,Nanjing 210094,China
Keywords:
Riccati transfer matrix method transfer matrix method for multibody system eigenvalue linear multibody system numerical stability poles of equation
PACS:
TB122; TJ763
DOI:
10.14177/j.cnki.32-1397n.2018.42.01.002
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 transformation. 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 characteristic 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.

References:

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Last Update: 2018-02-28