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Stress-unilateral analysis of discretized cable and membrane structure in the presence of large displacements

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Summary

The present paper deals with the calculation of structures, some elements of which do not admit compressive stresses. An inequality theory is formulated for the large displacement-calculation of these structures. It is proved that for the numerical calculation of this inequality-problem the algorithms of quadratic minimization must be used.

Übersicht

Im vorliegenden Aufsatz werden Tragwerke behandelt; in denen Elemente vorhanden sind, die keine Druckspannung aufnehmen können. So wird eine Ungleichungstheorie für die Berechnung dieser Tragwerke im Gebiet großer Verschiebungen formuliert. Es wird bewiesen, daß für die numerische Lösung des Ungleichungsproblems die Algorithmen der quadratischen Minimierung benutzt werden müssen.

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Authors and Affiliations

  1. Institut für Technische Mechanik, RWTH Aachen, Templergraben 64, D-51, Aachen

    P. D. Panagiotopoulos

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  1. P. D. Panagiotopoulos
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The author's grateful thanks are due to the “Alexander-von-Humboldt-Stiftung” for the financial support of this work at the Institut für Technische Mechanik, RWTH Aachen.

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Panagiotopoulos, P.D. Stress-unilateral analysis of discretized cable and membrane structure in the presence of large displacements. Ing. arch 44, 291–300 (1975). https://doi.org/10.1007/BF00534488

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  • DOI: https://doi.org/10.1007/BF00534488

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