Iterative Fixture Layout and Clamping Force Optimization Using the Genetic Algorithm

Fixture design is a critical step in machining. An important aspect of fixture design is the optimization of the fixture, the primary objective being the minimization of workpiece deflection by suitably varying the layout of fixture elements and the clamping forces. Previous methods for fixture design optimization have treated fixture layout and clamping force optimization independently and/or used nonlinear programming methods that yield sub-optimal solutions. This paper deals with application of the genetic algorithm (GA) for fixture layout and clamping force optimization for a compliant workpiece. An iterative algorithm that minimizes the workpiece elastic deformation for the entire cutting process by alternatively varying the fixture layout and clamping force is proposed. It is shown via an example of milling fixture design that this algorithm yields a design that is superior to the result obtained from either fixture layout or clamping force optimization alone.

[1]  David L. Levine,et al.  Users guide to the PGAPack parallel genetic algorithm library , 1995 .

[2]  S. J. Hu,et al.  Fixture layout optimization considering workpiece-fixture contact interaction: simulation results , 1998 .

[3]  Shreyes N. Melkote,et al.  An Elastic Contact Model for the Prediction of Workpiece-Fixture Contact Forces in Clamping , 1999 .

[4]  R. Siegel.  Transient Thermal Analysis of a Translucent Thermal Barrier Coating on a Metal Wall , 1999 .

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

[6]  Krishnakumar Kulankara.  Machining fixture synthesis using the genetic algorithm , 1999 .

[7]  Jingxia Yuan,et al.  Deformable Sheet Metal Fixturing: Principles, Algorithms, and Simulations , 1996 .

[8]  K. C. Chan,et al.  A Genetic Algorithm Based Approach to Optimal Fixture Configuration , 1996 .

[9]  C. C. Flanigan.  Model reduction using Guyan, IRS, and dynamic methods , 1998 .

[10]  Richard E. DeVor,et al.  MECHANISTIC MODEL FOR THE PREDICTION OF THE FORCE SYSTEM IN FACE MILLING OPERATIONS. , 1984 .

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

[12]  Shreyes N. Melkote,et al.  Machining fixture layout optimization using the genetic algorithm , 2000 .

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

[14]  Lucy Siu-Bik King,et al.  Theoretical approach for generating optimal fixturing locations for prismatic workparts in automated assembly , 1993 .

[15]  Edward C. De Meter,et al.  Fast support layout optimization , 1998 .

[16]  Tojiro Aoyama,et al.  Optimization of fixturing condition by means of the genetic algorithm , 1996 .

[17]  E. C. De Meter,et al.  The Application of Meta Functions to the Quasi-Static Analysis of Workpiece Displacement Within a Machining Fixture , 1996 .

[18]  Q. A. Sayeed,et al.  Mixed-Integer Programming Model for Fixture Layout Optimization , 1998, Manufacturing Science and Engineering.

[19]  E. C. De Meter,et al.  Min-Max Load Model for Optimizing Machining Fixture Performance , 1995 .