Journal
MECHANICS RESEARCH COMMUNICATIONS
Volume 55, Issue -, Pages 95-104Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechrescom.2013.10.007
Keywords
Mindlin plate; Flexural and shear vibrations; Analytical solution; FEM; Shear locking
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Funding
- National Research Foundation of Korea (NRF)
- Korean Government (MEST) through GCRC-SOP [2011-0030669]
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The basic equations of the Mindlin theory are specified as starting point for its modification in which total deflection and rotations are split into pure bending deflection and shear deflection with bending angles of rotation, and in-plane shear angles. The equilibrium equations of the former displacement field are split into one partial differential equation for flexural vibrations. In the latter case two differential equations for in-plane shear vibrations are obtained, which are similar to the well-known membrane equations. Rectangular shear locking-free finite element for flexural vibrations is developed. For in-plane shear vibrations ordinary membrane finite elements can be used. Application of the modified Mindlin theory is illustrated in a case of simply supported square plate. Problems are solved analytically and by FEM and the obtained results are compared with the relevant ones available in the literature. (C) 2013 Elsevier Ltd. All rights reserved.
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