Solving Nonlinear Equation Systems
This chapter deals with solving nonlinear equation systems that describe the computational models for tapered and cylinder roller bearings in Chaps. 1 and 2. In general, the computational models consisting of a large number of coupled equations are strongly nonlinear. It is not easy to get converged solutions for large strongly nonlinear coupled equation systems. Therefore, an appropriate algorithm is required to solve such nonlinear equation systems. In the following sections, the Gauss-Newton and the Levenberg-Marquardt algorithm based on least squares method are mathematically derived for solving the computational models of tapered and cylinder roller bearings.