..., the most dangerous meshing point should be determined by the outlet portion of the worm and the relevant contact line. In accordance with the basic consideration mentioned above, a system of nonlinear equations can be derived to determine the most dangerous meshing point. The system of nonlinear equations...

... by the mean of the minimum singular value of the Jacobian, leading to the solution of two nonlinear equations due to the limb length constraint and nearly axial symmetry requirement of the kinematic performance. The results of the dimensional synthesis are given via examples. Referring the design...

... produces a set of nonlinear equations that can be solved to obtain a value of the radial clearance. This value has to be machined off the rotor profile to prevent interference. A numerical example is given at the end of the paper to prove the validity of the models proposed and graphs are produced...

... and the analysis is conducted using probabilistic methods. In this work, a new approach, based on interval analysis, is presented for the modeling and analysis of tolerances and clearances. The basic procedure of interval analysis involving solution of simultaneous nonlinear equations is described. The application...

.... Associate Technical Editor: M. A. Ganter. 01 May 1998 optimisation design engineering numerical analysis nonlinear equations iterative methods fractals However, before proceeding further, we would like to emphasize that no method today can guarantee finding global minima...