Vibration of a Reissner-Mindlin-Timoshenko plate-beam system

Authors:
A. Labuschagne;N. F. J. Van Rensburg;A. J. Van Der Merwe
Affiliations:
Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa;Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 0002, South Africa;Department of Mechanical Engineering, Cape Peninsula University of Technology, Box 652, Cape Town 8000, South Africa
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

Citing 3
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Abstract

In this paper, we consider a plate-beam system in which the Reissner-Mindlin plate model is combined with the Timoshenko beam model. Natural frequencies and vibration modes for the system are calculated using the finite element method. The interface conditions at the contact between the plate and beams are discussed in some detail. The impact of regularity on the enforcement of certain interface conditions is an important feature of the paper.