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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