A Variational Method of Robust Fixture Configuration Design for 3-D Workpieces
- 1 November 1997
- journal article
- Published by ASME International in Journal of Manufacturing Science and Engineering
- Vol. 119 (4A), 593-602
- https://doi.org/10.1115/1.2831192
Abstract
Fixtures are used to locate and hold workpieces during manufacturing. Because workpiece surface errors and fixture set-up errors (called source errors) always exist, the fixtured workpiece will consequently have position and/or orientation errors (called resultant errors). In this paper, we develop a variational method for robust fixture configuration design to minimize workpiece resultant errors due to source errors. We utilize both first-order and second-order workpiece geometry information to deal with two types of source errors, i.e., infinitesimal errors and small errors. Using the proposed variational approach, other fundamental fixture design issues, such as deterministic locating and total fixturing, can be regarded as integral parts of the robust design. Closed-form analytical solutions are derived and numerical examples are shown. By employing the nonlinear programming technique, simulation software called RFixDesign is developed. This paper presents a new procedure for robust fixture configuration design that contributes especially to fixture designs where deformation is not influential.Keywords
This publication has 26 references indexed in Scilit:
- Kinematic methods for automated fixture reconfiguration planningPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Deformable Sheet Metal Fixturing: Principles, Algorithms, and SimulationsJournal of Manufacturing Science and Engineering, 1996
- Modern Differential Geometry of Curves and SurfacesThe American Mathematical Monthly, 1995
- Restraint Analysis of Fixtures Which Rely on Surface ContactJournal of Engineering for Industry, 1994
- Theoretical approach for generating optimal fixturing locations for prismatic workparts in automated assemblyJournal of Manufacturing Systems, 1993
- Kinematic analysis and planning for form closure grasps by robotic handsRobotics and Computer-Integrated Manufacturing, 1989
- A Mathematical Approach to Automatic Configuration of Machining Fixtures: Analysis and SynthesisJournal of Engineering for Industry, 1989
- The computer-aided design of modular fixturing systemsThe International Journal of Advanced Manufacturing Technology, 1987
- Kinematic analysis of workpart fixturing for flexible assembly with automatically reconfigurable fixturesIEEE Journal on Robotics and Automation, 1985
- A treatise on the theory of screws, by Sir Robert Stawell Ball.Published by Smithsonian Institution ,1900