The Mathematical Model

Gavin R. Thomson () and Christian Constanda ()
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Gavin R. Thomson: A.C.C.A.
Christian Constanda: The University of Tulsa, Department of Mathematical and Computer Sciences

Chapter Chapter 1 in Stationary Oscillations of Elastic Plates, 2011, pp 1-5 from Springer

Abstract: Abstract In this chapter we derive the system characterizing the stationary oscillations of thin elastic plates with transverse shear deformation proposed in [56]. We assume that the body forces have a time-harmonic form, which we substitute into the full classical three-dimensional elasticity model to obtain a time-independent system. The so-called kinematic hypothesis is then applied and, by averaging over the thickness of the plate, we arrive at the desired system of equations. The boundary moment–stress operator is also defined.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8241-5_1

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DOI: 10.1007/978-0-8176-8241-5_1

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