Please use this identifier to cite or link to this item: http://hdl.handle.net/11189/3491
Title: Solvability of a Reissner–Mindlin–Timoshenko plate–beam vibration model
Authors: van Rensburg, N.F.J.
Zietsman, L.
van der Merwe, A.J.
Keywords: Vibration;Plate–beam system;Existence of solutions;Semigroups;Variational form;Reissner–Mindlin plate;Timoshenko beam
Issue Date: 2009
Publisher: Oxford University Press
Source: Van Rensburg, N.F.J., Zietsman, L. & van der Merwe, A.J. (2009). Solvability of a Reissner-Mindlin-Timoshenko plate-beam vibration model. IMA Journal of Applied Mathematics, 74(1): 149-162
Abstract: In this paper, we consider the vibration of a plate–beam system consisting of a Reissner–Mindlin plate and a Timoshenko beam. A variational form is derived directly from the equations of motion and the constitutive equations. We show how an existence result for a general linear vibration problem in variational form may be applied to the weak variational problem for this system.
URI: http://hdl.handle.net/11189/3491
http://dx.doi.org/10.1093/imamat/hxn043
ISSN: 0272-4960
Rights: http://creativecommons.org/licenses/by-nc-sa/3.0/za/
Appears in Collections:Eng - Journal articles (DHET subsidised)

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