S. Saha Ray, R.K. Bera
B.P. Poddar Institute of Management and Technology
137, V.I.P. Road, Poddar Vihar, Kolkata, 700052, INDIA
e-mail: santanusaharay@yahoo.com
Heritage Institute of Technology
Chowbaga Road, Anandapur, Kolkata, 700107, INDIA
e-mail: rasajit@hotmail.com

Abstract.The present analysis seeks to investigate the mean and variance of the displacement distribution in a semi-infinite homogeneous elastic rod of randomly varying cross-section due to a time-dependent displacement input at one end. Laplace transform technique is applied to remove the time variable. Then the solution of this wave problem is obtained in the transformed plane by Adomian decomposition method [1] in the form of the series for small random variations in the cross-sectional area along the rod. Three particular cases of different continuous probability distributions of the random variable are studied and the effect of randomness is observed.

Received: September 1, 2004

AMS Subject Classification: 73D70, 73D35

Key Words and Phrases: wave propagation, random, variable cross section, adomian method

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 18
Issue: 1