Affordable Access

Publisher Website

A general solution for the free vibration of rectangular plates resting on uniform elastic edge supports

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
139
Issue
2
Identifiers
DOI: 10.1016/0022-460x(90)90893-5

Abstract

Abstract In this paper it is shown how the superposition method is employed to obtain accurate solutions for the free vibration frequencies and mode shapes of rectangular plates resting on elastic edge supports. The analysis is completely general in that uniform elastic rotational and translational supports of any stiffness magnitudes are considered to act simultaneously along each of the four edges, eight stiffness coefficients being required to define the problem. It is shown how all of the classical boundary conditions are approached when the coefficients are allowed to take on appropriate limits. A limited number of plots of fundamental mode eigenvalues vs. stiffness coefficients are presented for square plate problems of special interest. To the author's knowledge, this represents the first accurate comprehensive treatment of this problem to appear in the literature.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments

More articles like this

Free vibration analysis by the superposition metho...

on Journal of Sound and Vibration Jan 01, 2006

Free vibration analysis of rectangular plates with...

on International Journal of Mecha... Jan 01, 2011

VIBRATION ANALYSIS OF RECTANGULAR MINDLIN PLATES R...

on Journal of Sound and Vibration Jul 03, 1997

Large amplitude vibrations of rectangular plates w...

on Journal of Sound and Vibration Jan 01, 1985
More articles like this..