Affordable Access

Publisher Website

Free vibrations of elastically restrained non-uniform plates

Authors
Publisher
Elsevier Ltd
Publication Date
Volume
158
Issue
1
Identifiers
DOI: 10.1016/0022-460x(92)90668-n
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract A simple and efficient method is presented to examine the Levy-type solutions for the free vibration of elastically restrained rectangular plates, resting on a non-uniform elastic Winkler foundation under the action of constant in-plane forces. Both the thickness of the plate and stiffness of the elastic foundation are uniform along one axis and variable along the other axis. The frequency equation is derived and concisely expressed in terms of the four fundamental solutions of the governing characteristic differential equation. If the closed form fundamental solutions of the system are not available, then approximate fundamental solutions can be obtained through a numerical algorithm which is shown to be efficient, convenient and accurate. The results are compared with those in the literature. Finally, the influence of the elastically restrained boundary conditions on the natural frequencies is investigated.

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 vibrations of a non-uniform beam with general...

on Journal of Sound and Vibration Jan 01, 1990

Vibrations of elastically restrained non-uniform t...

on Journal of Sound and Vibration Jan 01, 1995

Free vibrations of a spinning uniform beam with en...

on Journal of Sound and Vibration Jan 01, 1987
More articles like this..