The cylindrical transmission with balls is a new type of mechanical transmission, that allows movement transmission between two coaxial shafts [1]. In the first part of this paper presents the geometric and kinematics study of the elements of cylindrical -sinusoidal transmissions with balls, determining in this way the transmission ratios. In the second part of this paper presents the geometric and kinematics study of the elements of differential cylindrical transmission with balls, determining in this way the transmission ratios. An advantage of this transmission, as compared to other mechanical transmissions, is given by the possibility to obtain more transmission ratios. In case all cylinders of simple cylindrical transmission are moving elements a differential transmission it obtained. Another advantage is given by the possibility of obtaining complex transmissions by series and/or parallel arrangement of cylindrical transmission simple units.
The first part of the paper are analyzed the components of the torque of the forces of inertia that act upon the frame of the frontal–sinusoidal transmission with balls. Analyzing at turn the expressions of the main vector and of the momentum of the forces of inertia one realizes that these are null, which shows that the transmission is balanced. In the second part they determine the way in which the geometrical parameters of the running channels of the balls influence the energy dissipation in the frontal sinusoidal transmission with balls.
The frontal-sinusoidal transmission with balls is a new type of mechanical transmission, that allows movement transmission between two coaxial shafts. In the first part of this paper presents the geometric and kinematics study of the elements of a frontal -sinusoidal transmissions with balls, determining in this way the transmission ratios. In the second part of this paper presents the kinetostatic study of the elements of frontal transmission with balls, determining in this way the force that acts upon these forces which are necessary in the constructive dimensioning. An advantage of this transmission, as compared to other mechanical transmissions, is given by the possibility to obtain more transmission ratios. In case all disks of simple frontal-sinusoidal transmission are moving elements a differential transmission it obtained. Another advantage is given by the possibility of obtaining complex transmissions by series and/or parallel arrangement of frontal transmission simple units.
The purpose of this paper is to study the sliding mode control as a Ricci flow process in the context of a three-story building structure subjected to seismic waves. The stability conditions result from two Lyapunov- functions, the first associated with slipping in a finite period of time, and the second with convergence of trajectories to the desired state. Simulation results show that the Ricci flow control leads to the minimization of the displacements of the floors. 3D Ricci solitons projection via a semi-conformal mapping to a surface is also studied.
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