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Parametric Instability of a Tapered Beam Resting on Pasternak Foundation under Various Boundary Conditions

Author(s):

T Linga Raju , ANUCET; R Vijaya Prakash, ANUCET

Keywords:

Axial Periodic Load, Parametric Instability of a Tapered Beam

Abstract

The parametric instability of a tapered beam resting on Pasternak foundation subjected to axial periodic load is studied in present work. The equation of motion and associated boundary conditions are obtained using Hamilton’s principle. Then, these equations of motion and associated boundary conditions are non-dimensional zed. A set of Mathieu-Hill’s equations is obtained from the non-dimensional equations of motion by the application of the general Galerkin’s method and these Mathieu-Hill’s equations are used to obtain the zones of instability. The effect of taper& shear layer thickness on the zones of parametric instability for various boundary conditions have been investigated.

Other Details

Paper ID: IJSRDV4I60379
Published in: Volume : 4, Issue : 6
Publication Date: 01/09/2016
Page(s): 763-769

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