Optimal placement of fixture clamps

Research output: Contribution to conferencePaperpeer-review

Abstract

This paper addresses the problem of synthesizing optimal clamping schemes on three-dimensional parts with planar and cylindrical faces, with and without friction. Given a workpart with a pre-defined deterministic 3-2-1 location scheme, a set of polygonal convex regions on its faces are defined as areas of admissible clump positions. A known set of one or more external disturbing wrenches are also given. The frictionless case is considered first and a new linear program is formulated that minimizes the maximum clamping force. A transformation of the solution is presented that permits the extraction of the optimal positions of the clamps as well. Friction is introduced next, and a linear program is presented that minimizes the maximum normal clumping force. We extend the frictionless formulation to support the case of clamping contacts on cylindrical faces, resulting in a nonlinear convex formulation. Finally, we discuss a linear algebraic technique to find the lines of constant clamping force, along which the clamps can be moved while maintaining the clamping forces constant.

Original languageEnglish (US)
Pages314-319
Number of pages6
StatePublished - Jan 1 2001
Event2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics Proceedings - Como, Italy
Duration: Jul 8 2001Jul 12 2001

Other

Other2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics Proceedings
CountryItaly
CityComo
Period7/8/017/12/01

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Computer Science Applications
  • Electrical and Electronic Engineering

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