A Novel Approach for Buckling Analysis of Pretwisted Spatially Curved Beams by State Equations

S. R. Kuo, P Yang*, Y. B. Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Based on force equilibrium and rigid body considerations, a novel approach is proposed for deriving the state equations and then the buckling equations of pretwisted spatially curved beams. Based on statical consideration of an infinitesimal element from the last calculated configuration C1 to the current configuration C2, a set of condition equations for the state matrix is derived. Next, by enforcing the rigid body rule for the beam, another set of condition equations for the state matrix is derived. From these two sets of equations, the state matrix of the beam is derived that leads directly to the buckling differential equations. The merit of the proposed approach is that it only requires simple differential and matrix operations. No hidden errors are possible because no higher-order terms need to be treated. In addition, a direct link is established between the straight and curved beam theories. Finally, examples are provided to demonstrate the application of the theory to the buckling analysis of various curved beams, including the helical ones.

Original languageEnglish
Article number1550011
JournalInternational Journal of Structural Stability and Dynamics
Volume16
Issue number5
DOIs
StatePublished - 1 Jun 2016

Keywords

  • Curved beam
  • equilibrium conditions
  • rigid body rule
  • spatially curved beam
  • stability
  • state equations

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