Open AccessExact dynamic modeling of a spatial flexible beam with large overall motion and nonlinear deformation
Author(s) -
Xingsuo He,
Fujin Deng,
Rui Wang
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.1428
Subject(s) - coupling (piping) , discretization , nonlinear system , kinematics , equations of motion , deformation (meteorology) , beam (structure) , finite element method , stiffness matrix , timoshenko beam theory , classical mechanics , physics , computer science , mechanics , mathematical analysis , mathematics , optics , mechanical engineering , engineering , quantum mechanics , meteorology , thermodynamics
In this paper, the dynamic modeling theory of a spatial flexible beam, which undergoes large overall motion and nonlinear deformation, is investigated. As we know, in spacecraft and space station, there are a lot of flexible appendices so the dynamic modeling of a flexible beam is essential. Yet the existing models, in our opinion, lack several important coupling terms. This paper supplies these important coupling terms. Based on the new approach of deformation of fully geometrically nonlinear beam model developedthe finite element method is used for the system discretization and the coupling dynamic equations of flexible beam are obtained by Lagrange’s equations. The complete expression of stiffness matrix and all coupling terms are included in the dynamic equations. The second order coupling terms between rigid large overall motion, arc length stretch, lateral flexible deformation kinematics and torsional deformation terms are included in the present exact coupling model to expand the theory of one-order coupling model. The dynamic modeling method in this paper is of theoretical significance and has reference value for the rigid-flexible coupling system dynamic investigation .