Evidence of holes in the Arnold tongues of flow past two oscillating cylinders.
The wake of two oscillating cylinders in a tandem arrangement is a nonlinear system that displays Arnold tongues. We show by numerical simulations that their geometry depends on the phase difference theta between the two oscillating cylinders. At theta = 0 there may be holes inside these intraresonance regions unlike the solid Arnold tongues encountered in single-cylinder oscillations. This implies that, surprisingly, self-excitation of the system may be suppressed inside these holes, at conditions close to its natural frequency.
Department of Mechanical Engineering, MIT, Cambridge, Massachusetts 02139, USA. papaioan@mit.edu
Georgios V
GV
Papaioannou
Dick K P
DK
Yue
Michael S
MS
Triantafyllou
George Em
GE
Karniadakis