An analytic approach to assemblability analysis

The assemblability, which is the probability of successfully assembling the product parts, is directly related to the product cost. Especially, we consider the assembly failures due to tolerances. Because clearances provide the adjustability to part poses in an assembly, the assemblability analysis must be analyzed not only in terms of tolerances but also clearances. In this paper, we propose an analytic approach to the assemblability analysis. Represented by ellipsoids in a deviation space, the propagations of tolerances and clearances are calculated using Jacobian and sweep operations. The simulation results are given using a 2D assembly. The expected contribution of this paper is that the proposed method allows to compute the assemblability of a product in real time.