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On finite deformations of space-curved beams

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Summary

A recent generalization of Kirchhoff's equations for the analysis of spacecurved beams, in which account is taken of force-deformational effects in addition to the deformational effects of bending and twisting moments (Studies Appl. Math.52, 87–95, 1973), is re-derived more simply, including a new description of rotational displacement states, and including an application to the problem of helical deformations of originally helical beams.

Zusammenfassung

Eine Verallgemeinerung der Kirchhoffschen Stabgleichungen, in welcher der Einfluß der Stabkräfte auf die Verformungen berücksichtigt wird, zusätzlich zu dem Einfluß der Biege- und Torsionsmomente (Studies Appl. Math.52, 87–95, 1973) wird neu und vereinfacht abgeleitet, einschließlich einer neuen Beschreibungsweise für rotationelle Verschiebungszustände, und einschließlich einer neuen Anwendung auf das Problem der schraubenförmigen Verformungen von ursprünglich schraubenförmigen Stäben.

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References

  1. Kelvin and Tait,Treatise on natural philosophy, Part II, 1895-Edition, pp. 136–145.

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  5. E. Reissner,On one-dimensional large-displacement finite-strain beam theory, Studies Appl. Math.52, 87–95 (1973).

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Authors and Affiliations

  1. Dept. of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, California, USA

    E. Reissner

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  1. E. Reissner
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Reissner, E. On finite deformations of space-curved beams. Z. angew. Math. Phys. 32, 734–744 (1981). https://doi.org/10.1007/BF00946983

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  • DOI: https://doi.org/10.1007/BF00946983

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