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


IASS Symposium 2016

SESSION: Bending Active and Flexible Structures

A review on geometrically exact models for very flexible rods

< Table of Contents for Bending Active and Flexible Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Bending Active and Flexible Structures
  • Pages: 10
  • Title: A review on geometrically exact models for very flexible rods
  • Author(s): Carlos Lazaro, Salvador Monleon, Juan G. Bessini, Jose Casanova
  • Keywords: geometrically exact rods, Reissner-Simo model, finite rotations, bending active structures, objectivity, path independency, shear locking, membrane locking
Abstract
This paper reviews the fundamentals of the geometrically exact beam theory −or Reissner-Simo beam theory− and the most relevant associated finite element implementations. Reissner-Simo's theory is able to model the mechanical behaviour of slender structural members involving arbitrarily large displacements and rotations. Rod centreline displacements and cross sectional rotations are used as model variables; the exact mathematical treatment of rotations is achieved by handling them as elements of the special orthogonal group. The choice of suitable parametrizations of the rotations, and the difficulties and specificities of finite element implementations of this theory are reviewed. Numerical examples using the author's implementation are presented, and finally the potential for future applications for form finding of bending active structures is pointed out.

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