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Clamping Planning in Workpiece-Fixture Systems

[+] Author Affiliations
Cai-Hua Xiong, You-Lun Xiong

Huazhong University of Science and Technology, Wuhan, P. R. China

Michael Yu Wang

Chinese University of Hong Kong, Shatin, Hong Kong

Paper No. IMECE2003-42118, pp. 267-272; 6 pages
doi:10.1115/IMECE2003-42118
From:
  • ASME 2003 International Mechanical Engineering Congress and Exposition
  • Manufacturing
  • Washington, DC, USA, November 15–21, 2003
  • Conference Sponsors: Manufacturing Engineering Division
  • ISBN: 0-7918-3720-3 | eISBN: 0-7918-4663-6, 0-7918-4664-4, 0-7918-4665-2
  • Copyright © 2003 by ASME

abstract

This paper presents a general method for the determination of the optimal clamping forces including their magnitude and positions. First, we develop a locally elastic contact model to describe the nonlinear coupling between the contact force and elastic deformation at the individual contact. Further, a set of “compatibility” equations are given so that the elastic deformations among all contacts in the workpiece-fixture system result in a consistent set of rigid-body displacement of the workpiece in its global system. We define the minimum norm of the elastic deformation at contacts as the objective function, then, formulate the problem of determining of the optimal clamping forces as a constrained nonlinear programming problem, which guarantees that the fixturing of the workpiece is passive force closure. The proposed planning method of optimal clamping forces is illustrated with numerical example.

Copyright © 2003 by ASME

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