Digital Design Of Bearings And Its Application Of High-Speed Ceramic Ball Bearings In The Structural Parameter Design

The ceramic rolling bearings derived from conventional steel bearings and often used in high-or ultra-high-speed occasions have emerged as a promising new product and offered significant potential profits. It is important and urgent to do effective researches on the design methods and rules, because presently the techniques of high-speed ceramic rolling bearings are at original stage, and some theoretical researches and experiments involved are complex and difficult to be accomplished. This dissertation mainly explores digital design of bearings and structural parameter of high-speed ceramic ball bearings based on the bearings theory of quasi-statics. The research works are listed as followings: 1. The computing method developed with the Matlab software has been proposed to solve transcendental equation containing elliptical integral. With this method the dimensionless contact parameter, contact stress and deformation in different ceramic materials have been computed for the first time, and its the efficiency and reliability has been proved. 2. The internal speed and motions of ball bearings as well as relevant quasi-statics formulae are conducted. A new method associated function which diameter and number of balls have been integrated with the function and solving steps are presented. So the parameters of high-speed ceramic ball bearings can be achieved. 3. Based on the above work, the performance of running bearings has been studied. The results show that the performance of running bearings is affected by some factors, such as material, ball diameter, loads, rotating speed and groove curvature radius coefficient on the condition that the admissible stress is satisfied. Some results have been first found out, such as the relationship between the different ball diameter and speed, the optimal ball radius with the minimized outer ring contact pressure, the risky ball radius with the maximized inner spin-to-roll ratio, and so on. 4. The contact problems including the principle, content and process solved by FEM is presented. By virtue of the contact analysis modular in the ANSYS software the problem of the ceramic ball bearings can be solved easily. In this way, all representative Hertz contact problem in the hybrid ceramic ball bearings including basic contact between spherical surface and plane are investigated. The calculation accuracy mainly determined by the degree of refinement, the optimal ball radius under the different speeds and loads are obtained respectively. The result of contact stress and strain acquired shows that this method is effective, accurate and reliable, and plays an important role in the rolling bearing design as well as other similar engineering applications. 5. The results of the experiment for the measurement of the contact stiffness have validated the two new methods adopted in the paper. 6. Finally, based on Matlab and ANSYS platform and its secondary developing tool, using object-oriented development tool VB and relational data base SQL Server, the rapid integrated design system for high-speed ceramic/steel ball bearings is developed. Construction and function of design system are introduced, and an example of designing ceramic ball bearings is given.