Author(s)

M. El-Sayed & X. Cai

Abstract

Analysis of ball bearings using optimization techniques M. El-Sayed & X. Cai Department of Mechanical Engineering, Kettering University, Flint, Michigan 48504. Abstract In detailed analysis of ball bearings, there are multiple non-linear equations that need to be solved. Newton-Raphson iteration technique is usually used for solving the resulting system of non-linear equations. To solve for the perturbations during the iterative process matrix inversion is frequently needed. Finding the inverse of a matrix is costly and increases sharply with matrix size. In this paper, optimization techniques are used to efficiently solve the multiple systems of non-linear equations. The BFGS optimization method is used to reduce the computational cost and time. The proposed approach with the necessary modifications such as scaling, are presented in the paper along with some test cases. 1 Introduction In bearing analysis, there are multiple non-linear equations that need to be solved. Newton-Raphson iterati

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