Header menu link for other important links
Parametric instability of a cantilever beam with magnetic field and periodic axial load
, S.K. Dwivedy
Published in Academic Press
Volume: 305
Issue: 4-5
Pages: 904 - 917
The present work deals with the parametric instability regions of a cantilever beam with tip mass subjected to time-varying magnetic field and axial force. The nonlinear temporal differential equation of motion having two frequency parametric excitations is solved using second-order method of multiple scales. The closed-form expressions for the parametric instability regions for three different resonance conditions are determined. The influence of magnetic filed, axial load, damping constant and mass ratio on the parametric instability regions are investigated. These results obtained from perturbation analysis are verified by solving the temporal equation of motion using fourth-order Runge-Kutta method. The instability regions obtained using this method is found to be in good agreement with the experimental result. © 2007 Elsevier Ltd. All rights reserved.
About the journal
JournalJournal of Sound and Vibration
PublisherAcademic Press