Tolerance analysis in machining using the MMP. Comparison and evaluation of three different approaches
Résumé
This paper aims to globalize a series of works started by the authors regarding the three dimensional error stack-up analysis in machining. Although the developed error stack-up analysis method by the authors comprises different manufacturing processes, this paper is limited to the machining operation. This paper is built on the Model of Manufactured Part (MMP) (Villeneuve and Vignat 2005), which models the different geometrical deviation 3D impacts on the geometrical and dimensional quality of part produced (error stack-up) in a multi-stage (MS) machining process. In this study the MMP will be used for developing numerical solutions techniques for the aim of tolerance analysis in a MS machining process. The developed solution techniques are classified in two main categories: worst case analysis (worst part produced) and stochastic analysis. This paper first reminds the MMP model and the different solution techniques. The different strategies to simulate the deviation parameters of the model are then discussed. For each of the three proposed solution techniques, its convenience and inconvenience is explored in detail. The solution techniques performances are compared from different points of view (i.e. rapidity, convergence to the global minimum, analyzed case ...) through a 3D example and finally some perspectives are presented.