Dynamic stiffness matrix for axially vibrating stochastic rods using Stratonovich's averaging principle

Manohar, CS (1997) Dynamic stiffness matrix for axially vibrating stochastic rods using Stratonovich's averaging principle. In: Archive of Applied Mechanics (Ingenieur Archiv), 67 (3). pp. 200-213.

PDF Dynamic_stiffness.pdf - Published Version Restricted to Registered users only Download (324kB) | Request a copy

Abstract

The problem of determining the dynamic stiffness matrix of a rod with broad band randomly varying mass and stiffness properties is considered. The governing stochastic boundary value problem is solved. First, a general solution to the field equation is obtained by using Stratonovich's stochastic averaging theorem. Subsequently, the elements of dynamic stiffness coefficients are evaluated by choosing appropriately the arbitrary constants of the general solution. The analytically determined statistics of the amplitude and phase of the stiffness coefficients are shown to compare favorably with digital simulation solutions.

Item Type:	Journal Article
Publication:	Archive of Applied Mechanics (Ingenieur Archiv)
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Keywords:	Dynamic stiffness;stochastic averaging;structural mechanics;system stochasticity
Department/Centre:	Division of Mechanical Sciences > Civil Engineering
Date Deposited:	03 Jul 2009 10:36
Last Modified:	19 Sep 2010 05:25
URI:	http://eprints.iisc.ac.in/id/eprint/18882

Actions (login required)

View Item