Elastic Buckling and Post-Buckling of Von Mises Planar Trusses

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 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.

• Periodical: Applied Mechanics and Materials (Volume 769)
• Pages: 49-54
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.769.49
• Online since: June 2015
• Authors: Martin Kalina*, Zdenek Kala, Petr Frantík
• Keywords: Buckling, Discrete Model, Imperfection, Post-Buckling, Potential Energy, Von Mises Truss

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