Study on optimization of numerical solution of high speed angular contact ball bearing mechanics model

摘要

According to the theory of ring raceway control and Hertz contact, the quasi-static model of angular contact ball bearing under high speed is established. In this paper, an improved Newton-Raphson algorithm is proposed to deal with initial value determination, oscillation and slow convergence problems during solving the quasi-static model of the angular contact ball bearing by the traditional Newton-Raphson algorithm. Firstly, adopting the intermediate variables and solving the nonlinear equations step by step reduces the number of unknowns and the determination of the initial values respectively. Secondly, introducing the iterative correction factor in the improved Newton-Raphson algorithm suppress oscillation in the iterative process. Genetic search strategy is used to optimize the iterative correction factor, the convergence time is further shorted. Compared with the traditional algorithm, the proposed algorithm is superior. The algorithm can effectively decrease the difficulty of solving the quasi - static model of the angular contact ball bearing and improve the convergence efficiency.