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RESEARCH PAPERS

Vibration of Rectangular Mindlin Plates with Intermediate Stiffeners

[+] Author and Article Information
K. M. Liew

Dynamics and Vibration Centre, School of Mechanical and Production Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 2263

Y. Xiang, S. Kitipornchai

Department of Civil Engineering, The University of Queensland, Brisbane, Australia 4072

M. K. Lim

Division of Applied Mechanics, School of Mechanical and Production Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 2263

J. Vib. Acoust 116(4), 529-535 (Oct 01, 1994) (7 pages) doi:10.1115/1.2930459 History: Received January 01, 1993; Revised September 01, 1993; Online June 17, 2008

Abstract

A first known investigation into the vibratory characteristics of rectangular Mindlin plates with intermediate stiffeners is presented. The Rayleigh-Ritz method is used, with displacement and rotational functions assumed in the form of mathematically complete algebraic polynomials. Sets of numerical frequency parameters for rectangular plates of various boundary conditions, thicknesses and plate dimensions are presented. In the study, the effects of shear deformation and rotary inertia on the vibrational response of the plate structures are investigated. The influence of torsional rigidity and geometric properties of stiffeners on the natural frequency parameters are included. To validate the proposed formulation, numerical results for some simplified problems have been determined where existing literature for these problems can be found. Finally sets of new vibration frequencies for plates with one or more stiffeners in various directions are presented.

Copyright © 1994 by The American Society of Mechanical Engineers
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