Application of Monte Carlo Method in Tolerance Analysis

Abstract

Monte-Carlo simulation is the most popular and simplest method for nonlinear statistical tolerance analysis. Random values for every part are got according to the part distributions, and the value of the response function is computed for each set of part values. A sample of response function values is thus got, and the moments of the sample are computed using the standard statistical formula. Atpresent, the researches on assembly tolerance analysis have been focused on dimension tolerance and hardly take geometric tolerance intoconsideration. In this paper, geometric tolerance is treated as dimension tolerance whose nominal value is zero, and the Monte Carlo SimulationMethod is applied to tolerance analysis including geometric tolerance. Finally, a case of a top column assembly verifies the validity and accuracy of the method.