Affordable Access

Publisher Website

FREE VIBRATIONS OF FUNCTIONALLY GRADED PIEZOCERAMIC HOLLOW SPHERES WITH RADIAL POLARIZATION

Authors
Journal
Journal of Sound and Vibration
0022-460X
Publisher
Elsevier
Publication Date
Volume
251
Issue
1
Identifiers
DOI: 10.1006/jsvi.2001.3973
Disciplines
  • Mathematics

Abstract

Abstract By introducing displacement functions as well as stress functions, two independent state equations with variable coefficients are established from the three-dimensional equations of a radially inhomogeneous spherically isotropic piezoelastic medium. By virtue of the laminated approximation method, the state equations are then transformed into the ones with constant variables in each layer, and the state variable solutions are presented. Based on the solutions, linear algebraic equations about the state variables only at the inner and outer spherical surfaces are derived by utilizing the continuity conditions at each interface. Frequency equations corresponding to two independent classes of vibrations are finally obtained from the free surface conditions. Numerical calculations are presented and the effect of the material gradient index on natural frequencies is discussed.

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

On the free vibrations of a piezoceramic hollow sp...

on Mechanics Research Communicati... Jan 01, 2007

Radial vibrations of orthotropic laminated hollow...

on The Journal of the Acoustical... February 2003

Comment on "Free vibration analysis of laminated p...

on The Journal of the Acoustical... August 2001

Functionally graded hollow spheres under non-axisy...

on International Journal of Press... Jan 01, 2008
More articles like this..