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The convexity of the stability boundary of symmetric structural systems

Die Konvexität der Stabilitätsgrenze symmetrischer Bauteile

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Summary

The elastic stability of a discrete conservative structural system with independent loading parameters is studied. Attention is restricted to systems which satisfy certain analytical symmetry conditions and which lose their initial stability at a point of bifurcation. A theorem, concerning the convexity of the stability boundary of such systems, is established.

Zusammenfassung

Die Stabilität eines diskreten konservativen Systems mit unabhängigen Lastparametern wird studiert. Die Untersuchung beschränkt sich auf Systeme, die gewisse analytische Symmetriebedingungen erfüllen und die ihre Stabilität an einem Verzweigungspunkt verlieren. Es wird ein Theorem über die Konvexität der Stabilitätsgrenze solcher Systeme aufgestellt.

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Authors and Affiliations

  1. Solid Mechanics Division, Univ. of Waterloo, Waterloo, Ontario, Canada

    K. Huseyin (Asst. Professor)

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  1. K. Huseyin
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Huseyin, K. The convexity of the stability boundary of symmetric structural systems. Acta Mechanica 8, 205–212 (1969). https://doi.org/10.1007/BF01182261

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  • DOI: https://doi.org/10.1007/BF01182261

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