12/24/2023 0 Comments V belt pulley system designer![]() The second theory called “shear model” and proposed first by Firbank supposes that the bottom of the belt adheres to the pulley surfaces if the frictional force is less than the critical (maximum) static frictional force. There is no friction in the adhesion zone and the belt tension remains constant, while only the sliding zone participates in the moment transmission through the frictional forces. Namely, the arc length of the contact between the belt and each pulley is divided into two different zones: adhesion and sliding zones. The belt either slides (creeps) on the pulley surfaces or totally adheres to them. The first one called “creep model” and mentioned by Grashof supposes that the presence of friction depends wholly on the relative motion between the belt and the pulley surfaces. In the extant literature, two different theories physically motivated for the friction in the pulley-belt systems can be found. It reduces the system performance and makes the pulley transmission ratio different from the nominal one, see Kong and Parker . On the other hand, the partial slip is unavoidable in several cases since the friction is needed in order to transmit the power and the motion. In this case, the belt has a rigid body motion with respect to the pulley and thus the gross slip must be avoided in all the applications. The gross slip means a full slip all along the arc length of the contact between the belt and the pulleys. In fact, two types of slips exist in belt drives: gross and partial slips. Many works referenced in the literature on the belt mechanics point out the study of the steady-state interaction between the belt and the pulleys including the friction, the belt tensions, the displacement, the velocity and the slip. Therefore the power efficiency, the belt slip and the design of transmission systems (which minimize the energy consumption) are generally problems of prime interest for the transportation domain and the other industrial applications. ![]() They operate in the presence of the friction between the elastic belt and the rigid surfaces of drums or pulleys. They usually are used for the transmission of power between rotating pulleys, the band brakes which reduce the angular velocity of rotating machine parts, etc. The flexible belts have a vast number of applications in the engineering industries. The study is also conducted to observe slip phenomena due to the contact between elastic and rigid surfaces and multiple zones of slip can be found by means of an iterative Newton–Raphson method. These differential equations are solved using the explicit Runge–Kutta time-step integration scheme. Analytical solutions and formulations for the tensions and the relative displacements of the belt over the pulleys in the stationary regime are established, while differential equations for the belt tensions and the driven pulley velocity in the transient regime are derived. It can describe the zones of contact between the belt and the pulleys in the stationary and transient regimes. Then, a new approach based on the Eulerian description as well as on the normal and shear stresses is introduced in order to discuss the belt mechanics, to build an analytical model of a pulley-belt system and to investigate its dynamic behavior. In this paper, extant models are summarized to present a better understanding of the belt mechanics and the dynamic behavior of pulley-belt systems. They have a complex dynamic behavior because of the tension forces, the dimensions and the utilization purposes. ![]() In some engineering industries such as the transportation domain, the belt drives are widely used to transmit the power and the motion.
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