Publication detail

Elastic Buckling and Post-buckling of von mises planar trusses

KALINA, M. KALA, Z. FRANTÍK, P.

Original Title

Elastic Buckling and Post-buckling of von mises planar trusses

Type

conference paper

Language

English

Original Abstract

The article deals with the computational model of an elastic von Mises planar truss. The description of a mathematical concept, which is intended for the creation of computational programmes based on a finite number of segments, is presented. The mathematical solution is suitable for the analysis of load-deflection curves. Structural deformation is evaluated by seeking the global minimal potential energy. The article examines the effects of change in the vertical displacement of the top joint on strut axes. The step by step incremental method is used in combination with the Newton-Raphson method. The presented study is aimed at the evaluation of the force in the bifurcation point, which determines the moment when loading of the model causes passing from the pre-critical effect (attainment of maximum vertical load action) to the post-critical effect. Symmetric and asymmetric initial axis imperfections are considered and relevant symmetric and asymmetric shapes of buckling are identified. The stability problem of the von Mises truss is discussed in connection with the random effects of imperfections.

Keywords

Discrete model, Potential energy, von Mises truss, Imperfection, Buckling, Post-Buckling

Authors

KALINA, M.; KALA, Z.; FRANTÍK, P.

RIV year

2014

Released

16. 10. 2014

Location

Bratislava, Slovenská republika

ISBN

978-80-227-4259-7

Book

International Conference on New Trends in Statics and Dynamics of Buildings

Pages from

1

Pages to

6

Pages count

6

BibTex

@inproceedings{BUT114219,
  author="Martin {Kalina} and Zdeněk {Kala} and Petr {Frantík}",
  title="Elastic Buckling and Post-buckling of von mises planar trusses",
  booktitle="International Conference on New Trends in Statics and  Dynamics of Buildings",
  year="2014",
  pages="1--6",
  address="Bratislava, Slovenská republika",
  isbn="978-80-227-4259-7"
}