International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 4, Pages 799-806
doi:10.1155/S0161171294001110
Rotatory vibration of sphere of higher order viscoelastic solid
P.R. Sengupta1
, Nibedita De2
, Manidipa Kar2
and Lokenath Debnath4
1Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India
2201 Manicktola Main Road, Suite #42, Calcutta 700 054, India
4Department of Mathematics, University of Central Florida, Orlando 32816-1364, Florida, USA
Abstract
An attempt is made to investigate the rotatory vibration of a sphere of higher order viscoelastic solid considering higher order strain rate and stress rate. The general frequency equation is obtained for this type of vibration of a sphere. As a special case of this analysis, the frequency equations for the first order and the second order viscoelastic solids are derived. It is shown that the classical frequency equation for an isotropic elastic solid follows from this analysis.