A STABILITY THEOREM FOR HILLS EQUATION FOR ENGINEERING APPLICATIONS

Authors
BHATTACHARYYA R
Citation
R. Bhattacharyya, A STABILITY THEOREM FOR HILLS EQUATION FOR ENGINEERING APPLICATIONS, Journal of vibration and acoustics, 117(3), 1995, pp. 380-381
Citations number
NO
Categorie Soggetti
Engineering, Mechanical",Acoustics
Journal title
Journal of vibration and acoustics → ACNP
ISSN journal
10489002
Volume
117
Issue
3
Year of publication
1995
Pages
380 - 381
Database
ISI
SICI code
1048-9002(1995)117:3<380:ASTFHE>2.0.ZU;2-D
Abstract
A criterion for determining the stability of solutions of Hill's equat ion containing even periodic potential is developed based on Hill's me thod of solution. rn the special case of the Mathieu equation the theo rem is applied to generate stability maps that compares well with thos e obtained by existing methods. Finally, stability of Poynting oscilla tions of a rigid disk attached to a neo-Hookean rubber rod is briefly discussed.