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Large Displacements, Pre-buckling Strains, and Snap-Through

  • Sine Leergaard WiggersEmail author
  • Pauli Pedersen
Chapter
Part of the Springer Tracts in Mechanical Engineering book series (STME)

Abstract

From material nonlinearity to influence from geometrical nonlinearity. For Large displacements but still with linear strains, the solution to the Elastica is derived. The modified data for length and moment of inertia, just before buckling, also influence the determined buckling load. An example of a column, build up of truss bars, is presented with analytical result as well as a numerical 2D truss model. Linear elastic snap-through of von Mises truss is the final part of the chapter.

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of Technology and InnovationUniversity of Southern DenmarkOdense MDenmark
  2. 2.Department of Mechanical EngineeringTechnical University of DenmarkKgs. LyngbyDenmark

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