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...

Abstract -Regenerated (FRF curves), synthesis of (FRF) curves there are two main requirement in the form of response model, The first being that of regenerating “Theoretical” curve for the frequency response function actually measured and analysis and the second being that of synthesising the other functions which were not measured,(FRF) that isolates the inherent dynamic properties of a mechan...

We design a reduced attitude controller for reorienting the spin axis of gyroscope in geometric control framework. The proposed preserves inherent gyroscopic stability associated with spinning axis-symmetric rigid body. equations motion are derived two frames: non-spinning frame to show stability, and body-fixed deriving controller. is designed such that it retains structure closed loop renders...

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...

This paper describes a procedure for incorporating artificial gyroscopic forces in the method of controlled Lagrangians. These energy-conserving forces provide additional freedom to expand the basin of stability and tune closed-loop system performance. We also study the effect of physical dissipation on the closed-loop dynamics and discuss conditions for stability in the presence of natural dam...