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On the strain-displacement equations of a geometrically nonlinear curved beam

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Abstract

The paper is concerned with the strain-displacement equations of a curved beam undergoing arbitrarily large deflections/rotations. Two alternative procedures are used for this derivation: a mathematically consistent and an engineering-type approach. It is demonstrated that upon making certain simplifying assumptions regarding higher-order terms both approaches lead to identical results.

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References

  1. Fung, Y.C.: A first course in continum mechanics, 2nd Ed. Englewood Cliffs, N.J.: Prentice-Hall, Inc. 1977.

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  2. Washizu, K.: Variational methods in elasticity of plasticity, 3rd Ed. Pergamon-Press 1982.

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Authors and Affiliations

  1. University of Rhode Island, 02881, Kingston, RI

    Dimitris Karamanlidis (Asst. Prof. of Civil Engineering)

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  1. Dimitris Karamanlidis
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Karamanlidis, D. On the strain-displacement equations of a geometrically nonlinear curved beam. Forsch Ing-Wes 51, 165–167 (1985). https://doi.org/10.1007/BF02560774

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  • DOI: https://doi.org/10.1007/BF02560774

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