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Statically equivalent solutions for assessment of refined plate theories

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Abstract

The Pagano exact solution for an infinite plate on a simple support is extended in such a way that artitrary boundary conditions can be prescribed. Based on Bufler's approach, the solution is obtained with a modified Fourier transformation that leads to a set of ordinary inhomogeneous differential equations. It can be shown that the Pagano solution is included as a special case of periodic boundary conditions, whereas the effect of nonperiodic boundary conditions is represented by particular terms. Statically equivalent solutions for the assessment of refined plate theories are derived, and the difference between simply supported and periodic boundary conditions is discussed.

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Authors
  1. J. Meenen
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  2. H. Altenbach
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Additional information

Otto-von-Guericke Universität Magdeburg, Germany. Institut für Werkstoffwissenschaften, Martin-Luther-Universität Halle-Wittenberg, Germany. Published in Mekhanika Kompozitnykh Materialov, Vol. 34, No. 4, pp. 461–476, July–August, 1998.

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Meenen, J., Altenbach, H. Statically equivalent solutions for assessment of refined plate theories. Mech Compos Mater 34, 331–342 (1998). https://doi.org/10.1007/BF02257901

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  • DOI: https://doi.org/10.1007/BF02257901

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