# STACK-UP ANALYSIS OF STATISTICAL TOLERANCE INDICES FOR LINEAR FUNCTION MODEL USING MONTE CARLO SIMULATION

DS 80-6 Proceedings of the 20th International Conference on Engineering Design (ICED 15) Vol 6: Design Methods and Tools - Part 2 Milan, Italy, 27-30.07.15

Year: 2015
Editor: Christian Weber, Stephan Husung, Marco CantaMESsa, Gaetano Cascini, Dorian Marjanovic, Serena Graziosi
Author: Otsuka, Akimasa; Nagata, Fusaomi
Series: ICED
Institution: Tokyo University of Science Yamaguchi, Japan
Section: Design Methods and Tools - part 2
Page(s): 143-152
ISBN: 978-1-904670-69-8
ISSN: 2220-4334

### Abstract

Tolerancing is important in the mechanical design process because it affects product quality and manufacturing cost. Various tolerancing methods have been studied while considering quality and cost of a product. However, tolerance for design element is rounded to one scalar value, even though designers decide the value statistically considering machining error. Therefore, a next generation tolerancing method is required. Fortunately, a useful tool called statistical tolerance index is available. This tool limits design drawing process capability indices on design drawing, so that a manufacture process may satisfy this limitation. To decide the limitation suitably, a stack-up problem of statistical tolerance indices is formulated like a problem of conventional tolerance analysis. The stack-up problem can be represented by Minkowski-sum on a hyper-plane of the mean and the standard deviation square. Therefore, the problem can be numerically solved using the convex envelope algorithm and Monte Carlo simulation. We first begin the study by analysing the problem using Monte Carlo simulation.