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Non-linear analysis of plates by the Analog Equation Method

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Abstract

The Analog Equation Method is applied to large deflection analysis of thin elastic plates. The von-Kármán plate theory is adopted. The deflection and the stress function of the non-linear problem are established by solving two linear uncoupled plate bending problems under the same boundary conditions subjected to “appropriate” (equivalent) fictitious loads. Numerical examples are presented which illustrate the efficiency and the accuracy of the proposed method.

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Authors and Affiliations

  1. Department of Civil Engineering, National Technical University, Zografou Campus, GR-15773, Athens, Greece

    J. T. Katsikadelis & M. S. Nerantzaki

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  1. J. T. Katsikadelis
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  2. M. S. Nerantzaki
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Communicated by D. E. Beskos, 18 October 1993

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Katsikadelis, J.T., Nerantzaki, M.S. Non-linear analysis of plates by the Analog Equation Method. Computational Mechanics 14, 154–164 (1994). https://doi.org/10.1007/BF00350282

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