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TECHNICAL PAPERS

Analysis and Optimal Design of Fixture Clamping Sequence

[+] Author and Article Information
Guohua Qin

Sino-French Laboratory of Concurrent Engineering, Department of Aircraft Manufacturing Engineering, Northwestern Polytechnical University, P.O. Box 552, 710072 Xi’an, Shaanxi, China and Department of Mechanical Engineering, Nanchang Institute of Aeronautical Technology, P.O. Box 61, 330034 Nanchang, Jiangxi, China

Weihong Zhang

Sino-French Laboratory of Concurrent Engineering, Department of Aircraft Manufacturing Engineering, Northwestern Polytechnical University, P.O. Box 552, 710072 Xi’an, Shaanxi, Chinazhangwh@nwpu.edu.cn

Min Wan

Sino-French Laboratory of Concurrent Engineering, Department of Aircraft Manufacturing Engineering, Northwestern Polytechnical University, P.O. Box 552, 710072 Xi’an, Shaanxi, China

J. Manuf. Sci. Eng 128(2), 482-493 (Oct 26, 2005) (12 pages) doi:10.1115/1.2162908 History: Received November 21, 2004; Revised October 26, 2005

Considering the great impacts of the application sequence of multiclamps on the workpiece machining accuracy, this paper analyzes and optimizes clamping sequence. A new methodology that takes into account the varying contact forces and friction force during clamping is presented for the first time. A new analysis model is established to capture the effect of clamping sequence on contact force distributions and workpiece machining accuracy. It reveals that the historical accumulation of clamping steps influences heavily the final distribution of contact forces in the workpiece-fixture system. Therefore, the present contact forces in each clamping step are solved incrementally in terms of contact forces of the precedent step by means of the principle of the total complementary energy. Furthermore, based on the fact that the variation of contact forces from one step to another results in different workpiece deformations and position, a novel design model is formulated to select optimally the clamping sequence in order to minimize the workpiece deformation and position errors. Workpieces of low stiffness and high stiffness are investigated separately in order to simplify the modeling of clamping sequence optimization. Some numerical tests are finally demonstrated to validate the proposed model and method. Computational results are discussed and compared with experimental results available in the reference.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Coordinate system of workpiece-fixture system

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Figure 2

Scheme of 3-2-1 fixture setup

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Figure 3

Three parallel clamping forces applied to the upper surface of the workpiece

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Figure 4

Three orthogonal clamping forces applied to three planes

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Figure 8

Workpiece deformation in clamping sequences of Table 1

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Figure 9

Illustration of the workpiece-fixture system

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Figure 5

The workpiece position error in case 1

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Figure 6

The workpiece position eror in case 2

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Figure 7

Finite element model

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Figure 11

Linearized friction cone

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