We consider barotropic instability of shear flows for incompressible fluids with Coriolis effects. For a class of shear flows, we develop a new method to find the sharp stability conditions. We study the flow with Sinus profile in details and find sharp stability boundary in the whole parameter space, which correct previous results in the fluid literature. The addition of the Coriolis force is ...

In this paper, zonal momentum balances of the tropical atmospheric circulation during the global monsoon mature months (January and July) are analyzed in three dimensions based on the ECMWF Interim ReAnalysis (ERA-Interim). It is found that the dominant terms in the balance of the atmospheric boundary layer (ABL) in both months are the pressure gradient force, the Coriolis force, and friction. ...

A method is presented which can estimate the linear and nonlinear damping parameters in a lightly damped multidegree of freedom system which allows the system to be decomposed into a set of single degree of freedom nonlinear systems. Only a single response measurement from a free decay test is required as input ensuring that the magnitude of the damping parameters is not compromised by phase di...

In artificial gravity, conformance to the hypothetical comfort zone does not guarantee an earth-normal environment, nor does it sanction design based on terrestrial norms. This paper begins by examining the range of gravity environments encompassed by the comfort zone. It compares Coriolis slope distortions with typical slopes in terrestrial architecture. It then offers a detailed analysis of t...

This paper extends the capabilities of the harmonic potential field approach to planning to cover both the kinematic and dynamic aspects of a robot’s motion. The suggested approach converts the gradient guidance field from a harmonic potential to a control signal by augmenting it with a novel type of damping forces suggested in this paper called: nonlinear, anisotropic, damping forces (NADFs). ...

In haptic-feedback teleoperation, the operator experiences forces and torques applied to the slave manipulator. These forces, however, consist of two components: on the one hand, forces and torques due to environmental contact, and on the other hand, non-contact forces, i.e., inertial forces, centrifugal forces, Coriolis forces, and associated torques. For several reasons, eliminating these non...

Tires are perhaps the most important, but difficult to model, component of an automobile. In addition to supporting the vehicle and damping out road irregularities, the tires provide the longitudinal and lateral forces necessary to change the speed and direction of the vehicle. These forces are produced by the deformation of the tire where it contacts the road during acceleration, braking, and ...

We consider the problem of a rigid body, subject to a unilateral constraint, in the presence of Coulomb friction. We regularize the problem by assuming compliance (with both stiffness and damping) at the point of contact, for a general class of normal reaction forces. Using a rigorous mathematical approach, we recover impact without collision (IWC) in both the inconsistent and the indeterminate...

We present analytical results allowing to understand the influence of usually neglected vertical component of the Coriolis force and of the vertical velocity contribution in its horizontal component upon wave-trapping in shear flows in stratified fluid, and upon related inertial instability.