Spatial beam analysis with large displacement for deployable truss structures

Satoru Ozawa, Satoshi Harada, Jin Mitsugi

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A formula of multibody finite element analysis based on the corotational formulated finite element method and the direct coordinate partitioning for deployable truss structures is proposed. A beam element used in linear finite element analyses is a basic element in the formula. A corotational frame is defined by node coordinate systems attached to a beam element. A tangent stiffness matrix contains a virtual rotation displacement of the corotational frame. By the appropriate transformation of this virtual displacement, a simple geometric stiffness for the formula is obtained. The formula makes it possible to analyze the deploying motions of large deformed deployable truss structures, to be applicable to general finite elements, and to increase convergence speed of the Newton method in a solution algorithm. This improvement is achieved by neglecting virtual work done by rigid body motion in the process of employing the geometric stiffness to the conventional formula. A validity of this formula is confirmed through results of a numerical deployment analysis of a deployable beam structure.

Original languageEnglish
Pages (from-to)3108-3115
Number of pages8
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume70
Issue number11
Publication statusPublished - 2004 Nov
Externally publishedYes

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Stiffness
Finite element method
Stiffness matrix
Newton-Raphson method

Keywords

  • Corotational Formulation
  • Deployable Structure
  • Geometric Stiffness
  • Multibody Dynamics

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Spatial beam analysis with large displacement for deployable truss structures. / Ozawa, Satoru; Harada, Satoshi; Mitsugi, Jin.

In: Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 70, No. 11, 11.2004, p. 3108-3115.

Research output: Contribution to journalArticle

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