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Boundary value problems for anisotropic plates with internal line hinges

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Abstract

This paper deals with the formulation of an analytical model for the dynamic behavior of anisotropic plates, with an arbitrarily located internal line hinge with elastic supports and piecewise smooth boundaries elastically restrained against rotation and translation among other complicating effects. The equations of motion and its associated boundary and transition conditions are derived using Hamilton’s principle. By introducing an adequate change of variables, the energies that correspond to the different elastic restraints are handled in a general framework. The concept of transition conditions and the determination of the analytical expressions are presented. Analytical examples are worked out to illustrate the range of applications of the developed analytical model. One of the essential features of this work is to demonstrate how the commonly formal derivations used in the applications of the calculus of variations can be made rigorous.

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  1. INIQUI-CONICET, Facultad de Ingeniería, Universidad Nacional de Salta, Avenida Bolivia 5150, Salta, República Argentina

    Ricardo Oscar Grossi

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  1. Ricardo Oscar Grossi
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Correspondence to Ricardo Oscar Grossi.

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Grossi, R.O. Boundary value problems for anisotropic plates with internal line hinges. Acta Mech 223, 125–144 (2012). https://doi.org/10.1007/s00707-011-0552-5

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  • DOI: https://doi.org/10.1007/s00707-011-0552-5

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