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On the imperfection sensitivity of compound branching

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Summary

The effect of small imperfections on the stability behaviour of an N-degree-of-freedom system exhibiting 2-fold coincident critical points is investigated. The analysis is based on equilibrium surfaces and the multiple-parameter perturbation technique. The relationship between certain forms of the equilibrium surface and the Catastrophe theory is discussed. An illustrative structural model is analyzed.

Übersicht

Es wird der Einfluß kleiner Abweichungen auf die Stabilität von Systemen mit N Freiheitsgraden mit einem zweifachen kritischen Punkt untersucht. Die Analyse beruht auf der Betrachtung von Gleichgewichtsflächen und auf der Störungsrechnung für mehrere Parameter. Die Beziehungen zwischen den auftretenden Gleichgewichtsflächen und der Katastrophentheorie werden erörtert. An einem Strukturmodell wird die Vorgehensweise erläutert.

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Authors and Affiliations

  1. Department of Systems Design, University of Waterloo, Waterloo, Ontario, Canada

    K. Huseyin &  V. Mandadi

Authors
  1. K. Huseyin
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  2. V. Mandadi
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Huseyin, K., Mandadi, V. On the imperfection sensitivity of compound branching. Ing. arch 46, 213–222 (1977). https://doi.org/10.1007/BF00536957

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  • DOI: https://doi.org/10.1007/BF00536957

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