A new expression for contact deformation is given, and the normal contact stiff- ness between single asperities is derived according to Hooke＇s law. A contact model between two ellipsoidal asperities is simulated by ...A new expression for contact deformation is given, and the normal contact stiff- ness between single asperities is derived according to Hooke＇s law. A contact model between two ellipsoidal asperities is simulated by the FE method, the result compared with the theoretical solution. It is found that the curves of the normal contact stiffness versus the included angle in the principal curvature direction show similar trends and evolve as a cosine feature. The effects of the parameters on normal contact stiffness are found to show that normal contact stiffness increases and reaches the upper limit gradually with an increase in these parameters.展开更多
The most general contact in mechanical transmission is the elliptical one. In particular, a toroidal continuously variable transmission (CVT) has an elliptical shape in the contact area under the elastohydrodynamic lu...The most general contact in mechanical transmission is the elliptical one. In particular, a toroidal continuously variable transmission (CVT) has an elliptical shape in the contact area under the elastohydrodynamic lubrication regime, where the shearing of the fluid subjects to high contact stress and transmits the power. Many parameters affect the contact service performance of the half toroidal CVT, which include the properties of the contacting material (Young抯 modulus), operating parameters (input torque and maximum traction coefficient) and geometrical parameters (aspect cavity ratio, curvature ratio and half cone angle of the power roller). In this paper, the contacts between the input disk, the power roller and the output disk are formulated using the classical Hertzian contact theory. Based on the formulated equations, different system parameters, which affect the maximum Hertzian stresses, are compared. The comparative results will provide some observations of the relations between the maximum Hertzian stresses and transmission ratios in the form of graphs. These graphs give useful information for designer to know the maximum Hertzian stress during operation in such systems.展开更多
The automotive industry is seeking new concepts for a continuously variabletransmission (CVT) in the driveline. One possible solution for a CVT design is half toroidaltraction drive, providing a high torque capacity w...The automotive industry is seeking new concepts for a continuously variabletransmission (CVT) in the driveline. One possible solution for a CVT design is half toroidaltraction drive, providing a high torque capacity with quick ratio change. An analytical study on thecontact points of the half toroidal CVT has been detailed. The shapes of the contact areas amongthe input disk, power roller and output disk are considered ellipses. Mathematical equations forestimating the torque capacity, power loss due to spin action, and contact efficiency of theelliptical contacts of the half toroidal CVT are formulated and expressed in the form of integralswhich can be readily evaluated by numerical scheme. The contact efficiency calculations of the halftoroidal CVT have been developed for the proper spin point locations under the effect of systemparameters. Numerical results are presented hi graphical forms for considered parameters, which canhelp the designer to select the proper system parameters to minimize the undesirable spin effects.展开更多
基金Project supported by the National Basic Research Program of China(973 Program)(No.2009CB724406)
文摘A new expression for contact deformation is given, and the normal contact stiff- ness between single asperities is derived according to Hooke＇s law. A contact model between two ellipsoidal asperities is simulated by the FE method, the result compared with the theoretical solution. It is found that the curves of the normal contact stiffness versus the included angle in the principal curvature direction show similar trends and evolve as a cosine feature. The effects of the parameters on normal contact stiffness are found to show that normal contact stiffness increases and reaches the upper limit gradually with an increase in these parameters.
基金the Ford-NSFC Foundation of China (No. 50122151).
文摘The most general contact in mechanical transmission is the elliptical one. In particular, a toroidal continuously variable transmission (CVT) has an elliptical shape in the contact area under the elastohydrodynamic lubrication regime, where the shearing of the fluid subjects to high contact stress and transmits the power. Many parameters affect the contact service performance of the half toroidal CVT, which include the properties of the contacting material (Young抯 modulus), operating parameters (input torque and maximum traction coefficient) and geometrical parameters (aspect cavity ratio, curvature ratio and half cone angle of the power roller). In this paper, the contacts between the input disk, the power roller and the output disk are formulated using the classical Hertzian contact theory. Based on the formulated equations, different system parameters, which affect the maximum Hertzian stresses, are compared. The comparative results will provide some observations of the relations between the maximum Hertzian stresses and transmission ratios in the form of graphs. These graphs give useful information for designer to know the maximum Hertzian stress during operation in such systems.
基金This project is supported by Ford National Natural Science Foundation of China (No.50122151).
文摘The automotive industry is seeking new concepts for a continuously variabletransmission (CVT) in the driveline. One possible solution for a CVT design is half toroidaltraction drive, providing a high torque capacity with quick ratio change. An analytical study on thecontact points of the half toroidal CVT has been detailed. The shapes of the contact areas amongthe input disk, power roller and output disk are considered ellipses. Mathematical equations forestimating the torque capacity, power loss due to spin action, and contact efficiency of theelliptical contacts of the half toroidal CVT are formulated and expressed in the form of integralswhich can be readily evaluated by numerical scheme. The contact efficiency calculations of the halftoroidal CVT have been developed for the proper spin point locations under the effect of systemparameters. Numerical results are presented hi graphical forms for considered parameters, which canhelp the designer to select the proper system parameters to minimize the undesirable spin effects.
