Observation and investigation of a non-monotonic period function for an impact oscillator
Publication
, Journal Article
Chicone, C; Felts, K; Mann, B
Published in: Communications in Nonlinear Science and Numerical Simulation
January 1, 2009
A mathematical model for a bench-top impact oscillator (a steel pendulum and an aluminum barrier) that incorporates Hertzian contact is analyzed, and predictions derived from our model are compared with experimental data. We report our discovery of a new effect: the existence of a non-monotone period function for the annulus of periodic orbits in the phase plane surrounding the rest point that corresponds to the downward vertical position of the pendulum in the unforced, undamped case. From this non-monotonicity, we predict novel resonance response behavior for the forced, damped oscillator and verify our predictions by experiment. © 2008 Elsevier B.V. All rights reserved.
Duke Scholars
Published In
Communications in Nonlinear Science and Numerical Simulation
DOI
ISSN
1007-5704
Publication Date
January 1, 2009
Volume
14
Issue
5
Start / End Page
2415 / 2425
Related Subject Headings
- Mathematical Physics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Chicone, C., Felts, K., & Mann, B. (2009). Observation and investigation of a non-monotonic period function for an impact oscillator. Communications in Nonlinear Science and Numerical Simulation, 14(5), 2415–2425. https://doi.org/10.1016/j.cnsns.2008.06.009
Chicone, C., K. Felts, and B. Mann. “Observation and investigation of a non-monotonic period function for an impact oscillator.” Communications in Nonlinear Science and Numerical Simulation 14, no. 5 (January 1, 2009): 2415–25. https://doi.org/10.1016/j.cnsns.2008.06.009.
Chicone C, Felts K, Mann B. Observation and investigation of a non-monotonic period function for an impact oscillator. Communications in Nonlinear Science and Numerical Simulation. 2009 Jan 1;14(5):2415–25.
Chicone, C., et al. “Observation and investigation of a non-monotonic period function for an impact oscillator.” Communications in Nonlinear Science and Numerical Simulation, vol. 14, no. 5, Jan. 2009, pp. 2415–25. Scopus, doi:10.1016/j.cnsns.2008.06.009.
Chicone C, Felts K, Mann B. Observation and investigation of a non-monotonic period function for an impact oscillator. Communications in Nonlinear Science and Numerical Simulation. 2009 Jan 1;14(5):2415–2425.
Published In
Communications in Nonlinear Science and Numerical Simulation
DOI
ISSN
1007-5704
Publication Date
January 1, 2009
Volume
14
Issue
5
Start / End Page
2415 / 2425
Related Subject Headings
- Mathematical Physics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics