Title
Study of a piecewise linear dynamic system with negative and positive stiffness
Abstract
•Numerical and analytical study of a piecewise linear dynamic oscillator with negative stiffness followed by positive stiffness is studied.•The analytical solution obtained for the forced and damped case is found to agree well with the numerical results.•In the piecewise linear dynamic system, it is found that the response remains bounded in a limit cycle.•The system behaves similar to a van der Pol oscillator wherein negative damping is followed by positive damping.•Presented is a special case as defined by the specified parameter ranges; thus, to make it more general future work is needed.
Year
DOI
Venue
2015
10.1016/j.cnsns.2014.08.016
Communications in Nonlinear Science and Numerical Simulation
Keywords
DocType
Volume
Piecewise smooth system,Negative stiffness,Modified Lindstedt–Poincaré method,Analytical approximation
Journal
22
Issue
ISSN
Citations 
1
1007-5704
1
PageRank 
References 
Authors
0.41
0
2
Name
Order
Citations
PageRank
keguan zou141.03
satish nagarajaiah241.36