This contribution presents a generalized approach to friction induced vibrations in systems of moving continua. To this end, Hamilton’s Principle is used to state a weak formulation of the system dynamics without using specific structural models, like beams or plates for instance. The normal contact is enforced by a penalty formulation, which motivates the use of a constitutive contact model ba...

The phenomenon of gyroscopic precession is studied within the framework of Frenet-Serret formalism adapted to quasi-Killing trajectories. Its relation to the congruence vorticity is highlighted with particular reference to the irrotational congruence admitted by the stationary, axisymmetric spacetime. General precession formulae are obtained for circular orbits with arbitrary constant angular s...

Standard spectral codes for full sphere dynamics utilize a combination of spherical harmonics and suitableradial basis to represent fluid variables. These functions have rotational invariance not present ingeophysical flows. Gyroscopic alignment - along the axis rotation is ahallmark geophysical fluids in rapidly rotating regime. The Taylor-Proudman theorem, resultingfrom dominant balance Corio...

Flies use so-called halteres to sense body rotation based on Coriolis forces for supporting equilibrium reflexes. Inspired by these halteres, a biomimetic gimbal-suspended gyroscope has been developed using microelectromechanical systems (MEMS) technology. Design rules for this type of gyroscope are derived, in which the haltere-inspired MEMS gyroscope is geared towards a large measurement band...

A computationally efficient recursive algorithm to model flexible manipulators is described in this paper. The dynamic effects, including gyroscopic terms, of the motors at the joints are fully taken into account. Symbolic simplification is used in a newly developed package (FLEXROB), whose performance in detailed reproduction of the dynamic effects due to the interplay between the motors and t...

A parameter study is presented to determine effects of planet gear design parameters on the global modal behaviour planetary geared rotor systems. The sensitivity analysis conducted using a three-dimensional dynamic model system for number gears, mistuning, mass mesh stiffness and speed. These have varying impacts both natural frequencies mode shapes, therefore vibration modes determined by com...