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A general theory for the equilibrium and stability of discrete conservative systems

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Zusammenfassung

Eine vom Verfasser kürzlich entwickelte allgemeine Theorie der elastischen Stabilität wird in einheitlicher und moderner Form dargestellt. Die Theorie behandelt Gleichgewicht und Stabilität diskreter kontinuierlicher Systeme und ist somit ein Beitrag zur klassischen Mechanik, mit Anwendungen in der numerischen Untersuchung von in der Praxis auftretenden Körpern und Tragwerken.

Normales und kritisches Verhalten eines allgemeinen Systems werden durch einen natürlichen Störungsansatz klassifiziert und berechnet; beides mit oder ohne Diagonalisierungsschema. Das anfängliche überkritische Verhalten eines Systems bei einem diskreten kritischen Punkt wird ausführlich untersucht; besondere Aufmerksamkeit wird der wichtigen Frage der Imperfektionenanfälligkeit gewidmet.

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  1. Dept. of Civil Engineering, University College, London, UK

    John M. T. Thompson

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Thompson, J.M.T. A general theory for the equilibrium and stability of discrete conservative systems. Journal of Applied Mathematics and Physics (ZAMP) 20, 797–846 (1969). https://doi.org/10.1007/BF01592294

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