The problem of generation and existence of large-scale vortices in the ionosphere is analyzed in this paper. Some exact solutions of the magneto-hydrodynamic (MHD) equations have been found and new invariants have been constructed allowing to descover mechanisms of generation of large-scale vortices and planetary waves in the electroconducting atmosphere under the action of non-conservative Cor...

We analyze the scepticism on the hydrodynamic turbulence in Keplerian astrophysical disks expressed in Balbus and Hawley 2006 and show the failure of arguments of the paper. Recently Balbus and Hawley 2006 (BH06) have shown time-dependent three-dimensional nonlinear wave solution when considering a local Keplerian flow. Authors have demonstrated that the linear wave solution derived in Johnson ...

We develop a new PML formulation for the linearized shallow-water equations including the Coriolis force. The construction process is based on the uncoupling of the velocity components with the depth of water. Then the damping effect is only applied to the propagative modes just as was formerly done by Nataf [1] to the linearized Euler equations to enforce the long-time stability. We assess num...

This paper presents the analysis and numerical results of rotation, propagation angle, and attenuation angle upon the waves propagating in the piezoelectric body. Via considering the centripetal and Coriolis accelerations in the piezoelectric equations with respect to a rotating frame of reference, wave velocities and attenuations are derived and plotted graphically. It is demonstrated that rot...

In this article, bending, buckling, and free vibration of viscoelastic sandwich plate with carbon nanotubes reinforced composite facesheets and an isotropic homogeneous core on viscoelastic foundation are presented using a new first order shear deformation theory. According to this theory, the number of unknown’s parameters and governing equations are reduced and also the using of shear correct...

OBJECTIVES To assess the linearity and sex-specificity of damping coefficients used in a single-damper-model (SDM) when predicting impact forces during the worst-case falling scenario from fall heights up to 25 cm. METHODS Using 3-dimensional motion tracking and an integrated force plate, impact forces and impact velocities were assessed from 10 young adults (5 males; 5 females), falling from...

The development and applications of a supplemental viscous damping device with active capacity are described. The system of the dampers de ned as active viscous damping system (AVDS) is presented herein. Structural control principles de ned here as active control theory (ACT) are used to obtain the control forces at each time step during an excitation. Control of the damping forces is possible ...

The transient motion and the heat transfer of a viscous incompressible flow contained between two vertically eccentric spheres maintained at different temperatures and rotating about a common axis with different angular velocities is numerically considered when the angular velocities are an arbitrary functions of time. The resulting flow pattern, temperature distribution, and heat transfer char...

We consider planar and spatial autonomous Newtonian systems with Coriolis forces study the existence of branches periodic orbits emanating from equilibria. investigate both degenerate nondegenerate situations. While Lyapunov's center theorem applies locally in nondegenerate, nonresonant context, our result provides a global answer which is significant also some cases. apply abstract results to ...