Robust Fixture Layout Design for a Product Family Assembled in a Multistage Reconfigurable Line

Reconfigurable assembly systems enable a family of products to be assembled in a single multistage system by adjusting and reconfigurabling fixtures according to each product. The sharing of fixtures among different products impacts their robustness to fixture variation and process disturbances due to frequent reconfiguration. This paper proposes a methodology to achieve robustness of the fixture layout design through an optimal distribution of the locators for a product family. This objective is accomplished by: (1) the use of a multistage assembly process model for the product family, and (2) minimizing the combined sensitivity of the products to fixture variation. The optimization considers the feasibility of the locator layout by taking into account the constraints imposed by the different products and the processes (assembly sequence, datum scheme and reconfigurable tools workspace). The high dimension design space makes the problem challenging from the optimization point of view. A case study where three products are assembled in four stages is presented. The sensitivity of the optimal layout was benchmarked against the ones obtained using dedicated assembly lines for each product. This comparison proves that the proposed approach does not significantly sacrifice robustness while allowing the assembly of three products in a single reconfigurable line.Copyright © 2006 by ASME

[1]  S. Jack Hu,et al.  An offset finite element model and its applications in predicting sheet metal assembly variation , 1995 .

[2]  M. M. Barash,et al.  A Mathematical Approach to Automatic Configuration of Machining Fixtures: Analysis and Synthesis , 1989 .

[3]  Jionghua Jin,et al.  State Space Modeling of Sheet Metal Assembly for Dimensional Control , 1999 .

[4]  S. Jack Hu,et al.  A Variational Method of Robust Fixture Configuration Design for 3-D Workpieces , 1997 .

[5]  Warren R. DeVries,et al.  Optimization Methods Applied to Selecting Support Positions in Fixture Design , 1991 .

[6]  Jonathan W. Lee,et al.  Finite-Element Analysis of Flexible Fixturing System , 1987 .

[7]  Michael Yu Wang An Optimum Design Approach to Fixture Synthesis for 3D Workpieces , 1999 .

[8]  S. Jack Hu,et al.  Workspace Synthesis for Flexible Fixturing of Stampings , 1999 .

[9]  Zbigniew Jan Pasek An adaptive assembly system for automotive applications. , 1993 .

[10]  Daniel E. Whitney,et al.  Modeling and controlling variation propagation in mechanical assemblies using state transition models , 1999, IEEE Trans. Robotics Autom..

[11]  Yu Ding,et al.  Optimal design of fixture layout in multistation assembly processes , 2004, IEEE Trans Autom. Sci. Eng..

[12]  J. H. Wilkinson The algebraic eigenvalue problem , 1966 .

[13]  F. Frances Yao,et al.  Computational Geometry , 1991, Handbook of Theoretical Computer Science, Volume A: Algorithms and Complexity.

[14]  G. Nemhauser,et al.  Integer Programming , 2020 .

[15]  Daniel F. Walczyk,et al.  Fixturing of compliant parts using a matrix of reconfigurable pins , 2000 .

[16]  Michael Yu Wang,et al.  Optimizing fixture layout in a point-set domain , 2001, IEEE Trans. Robotics Autom..

[17]  C. R. Liu,et al.  AIFIX: AN EXPERT SYSTEM APPROACH TO FIXTURE DESIGN. , 1985 .

[18]  Dariusz Ceglarek,et al.  Impact of Fixture Design Sheet Metal Assembly Variation , 2002 .