The Nonlinear Analysis And Engineering Application To Rolling Bearing Stiffness

In this thesis,based on the ANSYS parametric modeling,the three-dimensional finite element models of deep groove ball bearings are established in order to make the contact analysis,to simulate bearing contact problem numerically and to study the bearing's stress and strain distribution trend in the process of loading and the changes of bearing radial stiffness under the different radial forces.The formulae for computing the radial stiffness of deep groove ball bearings are derived in MATLAB.Firstly,we apply the secondary development technique of ANSYS to the contact finite element analysis of deep groove ball bearings,and develop a practical module and set it into ANSYS as a part of the program.All these show that the secondary development technique of ANSYS can improve the running efficiency.Secondly,the bearing's stress and strain distribution trend under loading is founded by means of creating the two-dimensional contact analysis model and simulating the contact problem numerically.The finite element computation results show that the actual contact radius can be attained when the variation of contact stresses approaches no-linear and the element length should not be larger than actual contact radius.If the element length is a half of actual contact radius,it may be better.The feasible element length can be offered for solving the three-dimensional contact problem to satisfy the finite element analysis precision and efficiency.Thirdly,the full size three-dimensional entity of type 61801 bearing is simulated numerically with finite element method in the condition of the contact angle of zero and no windage via meshing and setting contact pairs,boundary conditions and constrain conditions. Then,bearing's radial stiffness is gained by the post-processing.Comparing with the results of Hertz contact theory,they are close,and it is verified that the ANSYS simulation is feasible and reliable,and can make up for a deficiency of Hertz theory for solving the complex contact problem.At last,we program the polynomial fitting procedure in MATLAB and fit deep groove ball bearing's radial stiffness curves with the results of ANSYS simulation and Hertz theory, respectively.Two curves are very similar,and the feasibility and reliability of ANSYS finite element method are further verified.Additionally,the deep groove ball bearing's radial stiffness computation formulae are found with MATLAB.It has very important reference value to solve practical engineering problems.