- Author
-
Cook, G. R.
|
Simiu, E.
- Title
- Chaotic Motions of Forced and Coupled Galloping Oscillators.
- Coporate
- National Institute of Standards and Technology, Gaithersburg, MD
- Journal
-
Journal of Wind Engineering and Industrial Aerodynamics,
Vol. 36,
1083-1094,
1990
- Keywords
-
oscillators
|
numerical simulation
|
experiments
|
Farey construction
|
nonlinear dynamical systems
|
wind tunnels
- Abstract
- Numerical simulations of the behavior of a periodically forced square galloping oscillator yielded results showing that the behavior of this system has similarities with the behavior of the circle map. Lock-in regions were found to be ordered as rational numbers obtained by the Farey construction. At the transition from quasiperiodic to chaotic motion corresponding to a winding number equal to the golden mean, the fractional dimension of the critical line was found to be 0.864, that is, to within 0.5% of the theoretical value for the circle map. Numerical studies were also performed on an autonomous system consisting of two elastically coupled galloping oscillators. Preliminary tests conducted in the 0.3 m diameter water tunnel of the David Taylor Research Center and in the CBT wind tunnel demonstrated the feasibility of the experimental study of both the forced oscillator and the autonomous coupled oscillators described in the paper. Research on these systems is being conducted in collaboration with the Center for Computational and Applied Mathematics, NIST, and the David Taylor Research Center, U. S. Department of the Army.