...Cheon-Jae Bahk; Robert G. Parker Planetary gears are parametrically excited by the time-varying mesh stiffness that fluctuates as the number of gear tooth pairs in contact changes during gear rotation. At resonance, the resulting vibration causes tooth separation leading to nonlinear effects...

... doubling, one-well, and two-well chaos, superharmonic resonances and on and off chaotic oscillations are found. 08 05 2009 04 03 2010 27 09 2010 27 09 2010 beams (structures) bifurcation chaos electrostatic actuators micromechanics oscillations resonance vibrations...

... state and an invariant manifold is constructed. However, this process does not provide a clear picture of possible resonances and conditions under which an order reduction is possible. In a direct innovative approach suggested here, a nonlinear time-dependent relationship between the dominant...

... results lead to the same conclusion. In particular, the threshold level of the excitation necessary to induce vibroimpact is confirmed. 22 11 2005 21 12 2006 nonlinear dynamical systems harmonic oscillators mechanical contact impact (mechanical) bifurcation resonance...

... the effectiveness of these types of absorbers for reducing resonant transverse vibrations in periodically excited rotating plates. Here we show how an idealized model can be used to describe the essential dynamics of these systems, and used to predict absorber performance. The absorbers use centrifugally induced...

...Ashwin Vyas; Anil K. Bajaj The Hamiltonian dynamics of a resonantly excited linear spring-mass-damper system coupled to an array of pendulums is investigated in this study under 1:1:1:…:2 internal resonance between the pendulums and the linear oscillator. To study the small-amplitude global...