... for the unsteady three dimensional potential flow are used to cast the coupled system into the form of a gyroscopic, nonconservative dynamical system. It is found that wide webs mainly destabilize through a divergence instability due to the cross-flow-induced conservative centrifugal effects. However, for certain...

... needed to synchronize the nonlinear systems are obtained in closed form. The method is applied to the synchronization of multiple, yet different, chaotic gyroscopes that are required to replicate the motion of a master gyro, which may have a chaotic or a regular motion. The efficacy of the method and its...

... oscillations of the surrounding fluid. The discretization procedure exploits Green’s theorem and exposes two different gyroscopic effects underpinning the coupled system dynamics: One describes the gyroscopic coupling between the disk and acoustic oscillations, and another arises from the disk rotation...

... with gyroscopic operators of internal coupling and the results applied to a real electromechanical interaction. The results obtained in Sec. 4 are used to derive the qualitative behavior of an electromechanical system under two different boundary conditions. The system, presented in 19 , is a Kirchhoff...

...G. M. L. Gladwell; M. M. Khonsari, Fellow ASME; Y. M. Ram, Mem. ASME Depending on the speed of rotation, a gyroscopic system may lose or gain stability. The paper characterizes the critical angular velocities at which a conservative gyroscopic system may change from a stable to an unstable state...

... is investigated through numerical integration in conjunction with Poincare´ map. It is shown that as the spin velocity increases, the chaotic motion turns into a regular motion. gyroscopes chaos angular velocity nonlinear dynamical systems In recent years, several researchers have conducted studies...

...D. W. Gulick, Graduate Researcher; O. M. O’Reilly, Assoc. Mem. ASME, Associate Professor, The Dynabee is a gyroscopic device that is marketed as a wrist exerciser. In this paper, a model for the dynamics of this device is presented. With some additional work, we find that the dynamics are governed...