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Vol. 45 (2004) No. 1 April n. 144


Derivation of the Geometric Stiffness Matrix of a Truss Element from a Simple Physical Concept

< Table of Contents for Vol. 45 (2004) No. 1 April n. 144
  • Journal Name: Journal of the International Association for Shell and Spatial Structures (J. IASS)
  • ISSN: (Electronic Version) 1996-9015
  • ISSN: (Print Version) 1028-365X
  • Issue: Vol. 45 (2004) No. 1 April n. 144
  • Pages: 22-28
  • Title: Derivation of the Geometric Stiffness Matrix of a Truss Element from a Simple Physical Concept
  • Author(s): J. T. Chang
  • Keywords: Generalized displacement control method; Geometric stiffness matrix; Rigid body motions; Truss element.
Abstract
The derivation of the geometric stiffness matrix of a truss element based on simple physical way is presented in this study. It is derived based on the extension of the physical concept of rigid body motions. The derived element has abilities to simulate physical properties when it undergoes rigid body motions. Then it is combined with the linear stiffness matrix of a truss to form the tangent stiffness matrix of the truss element. This stiffness matrix was used in the prediction stage of geometrical non-linear analysis of truss structures or linear buckling analysis of truss structures. The nonlinearly incremental equations were solved iteratively by using an effective numerical method, the General Displacement Control (GDC) method. A truss dome structure was analysed by the proposed elements. Reliable results are sure through comparisons with studies done in the literature.

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