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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Deployable Structures

Series expansion method for determination of order of mechanism with partially rigid joints

< Table of Contents for Deployable Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Deployable Structures
  • Pages: 9
  • Title: Series expansion method for determination of order of mechanism with partially rigid joints
  • Author(s): Ryo Watada, Makoto Ohsaki
  • Keywords: mechanism, partially rigid joints, singular value decomposition, series expansion
Abstract
A method for evaluating the order of mechanisms of partially rigid frames is presented. The frames are defined as assemblies of rigid beams and springs at their ends. Nonlinear compatibility conditions of translations and rotations are derived at member ends with respect to the nodal displacements and generalized strains representing rotations around arbitrarily inclined directions. The degree of kinematic indeterminacy is computed using singular value decomposition of the linear compatibility matrix. The order of mechanism is determined by the existence condition of higher-order coefficients of nodal displacements and generalized coordinates. The detailed procedure of the analysis is shown through the numerical examples of a two-bar and a four-bar linkages.

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