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Acta Mechanica Sinica

, Volume 11, Issue 4, pp 327–336 | Cite as

Global analysis of secondary bifurcation of an elastic bar

  • Hu Shouxin
Article
  • 5 Downloads

Abstract

In a three dimensional framework of finite deformation configurations, this paper investigates the secondary bifurcation of a uniform, isotropic and linearly elastic bar under compression in a large range of parameters. The governing differential equations and finite dimensional equations of this problem are discussed. It is found that, for a bar with two ends hinged, usually many secondary bifurcation points appear on the primary branches which correspond to the maximum bending stiffness. Results are shown on parameter charts. Secondary modes and branches are also calculated with numerical methods.

Key Words

global analysis secondary bifurcation geometrically nonlinear 

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1995

Authors and Affiliations

  • Hu Shouxin
    • 1
  1. 1.Mechanics Section, Dept. of MathematicsJilin UniversityChangchunChina

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