Dynamic characteristics analysis of slender flexible space structure undergoing large overall motions
Received:May 20, 2014  Revised:August 17, 2014
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DOI:10.7511/jslx201504011
KeyWord:on-orbit transportation  floating reference frame  rigid-flexible coupling  free-free boundary  assumed mode method  Rayleigh-Ritz method
     
AuthorInstitution
赵国威 大连理工大学 工业装备结构分析国家重点实验室, 大连
吴志刚 大连理工大学 工业装备结构分析国家重点实验室, 大连 ;大连理工大学 航空航天学院, 大连
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Abstract:
      Dynamic characteristics analysis of slender flexible space structure undergoing large overall motions is very important for the motion analysis and subsequent motion controller design.To begin with, a floating reference frame is chosen as local reference frame,whose origin is consistent with the center of mass, to establish structure's kinematic relationships; after that,the assumed mode method is used for discretizing the deformation; then,the rigid-flexible coupling vibration equations of structure undergoing large overall motions are obtained based on Lagrange's equation; next,using Rayleigh-Ritz method,the bending modes without undergoing large overall motions are selected as the basic functions to derive eigenfunction; furthermore,solving the eigenfunction to derive bending frequencies and mode shapes;finally,through several numerical examples,the difference of bending frequencies and mode shapes between uncoupling model and coupling model is discussed,and the results show that the uncoupling model is not reasonable.