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.

[1]  Sukhan Lee,et al.  Assemblability evaluation based on tolerance propagation , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[2]  K. Young,et al.  AMERICAN SOCIETY OF MECHANICAL ENGINEERS. , 1880, Science.

[3]  Heedong Ko,et al.  Automatic assembling procedure generation from mating conditions , 1987 .

[4]  Chunsik Yi,et al.  Assemblability analysis with adjusting cost evaluation based on tolerance and adjustability , 1997, Proceedings of the 1997 IEEE International Symposium on Assembly and Task Planning (ISATP'97) - Towards Flexible and Agile Assembly and Manufacturing -.

[5]  Aristides A. G. Requicha,et al.  Toward a Theory of Geometric Tolerancing , 1983 .

[6]  Henry Stark,et al.  Probability, Random Processes, and Estimation Theory for Engineers , 1995 .

[7]  Daniel E. Whitney,et al.  Representation of geometric variations using matrix transforms for statistical tolerance analysis in assemblies , 1994 .

[8]  Fumihiko Kimura Computer-aided Tolerancing , 1996, Springer Netherlands.

[9]  C. S. George Lee,et al.  Uncertainty manipulation and propagation and verification of applicability of actions in assembly tasks , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[10]  Sukhan Lee,et al.  Tolerance analysis for multi-chain assemblies with sequence and functionality constraints , 1997, Proceedings of International Conference on Robotics and Automation.

[11]  Masatomo Inui,et al.  Analysis of position uncertainties of parts in an assembly using configuration space in octree representation , 1995, SMA '95.