Configuration computation for one-dimensional continuum during deployment and retrieval
Received:September 21, 2009  Revised:June 22, 2010
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DOI:10.7511/jslx201103009
KeyWord:one-dimensional continuum  time-varying system  deployment and retrieval  configuration  finite difference method
     
AuthorInstitution
余本嵩 南京航空航天大学振动工程研究所,飞行器结构力学与控制教育部重点实验室,南京
金栋平 南京航空航天大学振动工程研究所,飞行器结构力学与控制教育部重点实验室,南京
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Abstract:
      In this paper, the lumped mass finite element is proposed to describe the one-dimensional continuum during deployment/retrieval. The discrete dynamic model that is capable of describing the time-varying multi-degrees-of-freedom system is presented. Because of the time-varying properties, the local elements of the system need to be redivided when the number of degrees of freedom of the system changes, and accordingly the lumped mass, damping and stiffness matrices as well as the displacements and force vectors are to be updated at every step computation. A configuration computation scheme is developed for solving the time-varying dynamic systems, which is based on an improved finite difference method. A tethered-like pendulum is selected as case studies here to verify the effectiveness of the proposed computational method.