Stability (Buckling)

  • Andreas Öchsner
  • Markus Merkel


In common and technical parlance the term stability is used in many ways. Here it is restricted to the static stability of elastic structures. The derivations concentrate on elastic bars and beams. The initial situation is a loaded elastic structure. If the acting load remains under a critical value, the structure reacts ‘simple’ and one can describe the reaction with the models and equations of the preceding chapters. If the load reaches or exceeds the critical value, bars and beams begin to buckle. The situation becomes ambiguous, beyond the initial situation several equilibrium positions can exist. From the technical application the smallest load is critical for which buckling in either bars or beams appears.


Shape Function Stiffness Matrix Large Deformation Critical Load Beam Element 
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  1. 1.
    Gross D, Hauger W, Schröder J, Werner EA (2008) Hydromechanik, Elemente der Höheren Mechanik, Numerische Methoden. Springer, BerlinGoogle Scholar
  2. 2.
    Gross D, Hauger W, Schröder J, Wall WA (2009) Technische Mechanik 2: Elastostatik. Springer, BerlinGoogle Scholar
  3. 3.
    Klein B (2000) FEM. Grundlagen und Anwendungen der Finite-Elemente-Methode. Vieweg-Verlag, WiesbadenGoogle Scholar
  4. 4.
    Kwon YW, Bang H (2000) The finite element method using MATLAB. CRC Press, Boca RatonGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Faculty of Mechanical Engineering, Department of Applied MechanicsUniversity of Technology Malaysia—UTMSkudaiMalaysia
  2. 2.Department of Mechanical EngineeringAalen University of Applied SciencesAalenGermany

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