Influence of The Stop Stiffness on Impact Oscillator Dynamics
Impact oscillator is a periodically excited mechanical system with one degree of freedom whose mass can impact against a stop. This paper explains the dynamics of the system, when the stop stiffness changes from zero (linear oscillator), to infinity (strongly nonlinear impact oscillator). The development of the system nonlinearity is shown on regions of periodic and chaotic impact motions depending on the excitation frequency and the static clearance between the mass and the stop.
KeywordsBifurcation Diagram Stability Boundary Chaotic Motion Period Doubling Bifurcation Motion Period
Unable to display preview. Download preview PDF.
- Peterka, F., Kotera, T. Four ways from periodic to chaotic motion in the impact oscillator, Machine Vibration, Springer-Verlag London Limited Vol. 5, No. 2 (1996), 71–82.Google Scholar
- Peterka, F.: Dynamics of the impact oscillator: Proceedings, IUTAM Chaos’97 Symposium, Cornell University, July 27-August 1, 1997, Kluwer Academic Publishers, Dordrecht, 1998, 283–292.Google Scholar
- Peterka, F., Kotera T.: Local stability and chaos of the impact oscillator motion, Proc. Colloquium Dynamics of Machines’98, Institute of Thermomechanics AS CR, Prague, February 3-4, 1998, 173–180.Google Scholar