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RESEARCH PAPERS

Optimal Tolerance Allocation for a Sliding Vane Compressor

[+] Author and Article Information
Yuan Mao Huang

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, Republic of Chinaymhuang@ntu.edu.tw

Ching-Shin Shiau

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan, Republic of China

J. Mech. Des 128(1), 98-107 (May 01, 2005) (10 pages) doi:10.1115/1.2114893 History: Received May 01, 2004; Revised May 01, 2005

An optimization model has been built with consideration of the required reliability, the minimum machining cost, and quality loss. The normal and the lognormal distributions of tolerances that depend on the production types of components are used in the reliability model. Cost tolerance data obtained from Bjørke are used to calculate the machining cost. The asymmetric quadratic quality loss model is used to calculate quality loss caused by the deviation and the mean-shift of distributions. Tolerance allocation of a sliding vane rotary compressor is optimized for the required reliability, the minimum cost and quality loss, and optimum tolerances of components are recommended. The results show that high accuracies of the slot length, the vane thickness, and the slot width are required. Hence, their tolerances are smaller than other components. The effects of the correlation coefficient of the bottom cover plate and the top cover plate and the correlation coefficient of the front cover plate and the rear cover plate to total cost are insignificant. Further, the cost of quality loss is reduced when the weighting ratio of the quality loss function weighting coefficient to the machining cost function weighting coefficient is increased. The total cost is increased because tight tolerance allocation increases the machining cost.

Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Components and schematic drawing of sliding vane rotary compressor

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Figure 2

Cross section of compressor and part numbers

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Figure 3

Flowchart of beta algorithm process

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Figure 4

Asymmetric quality loss curve and asymmetric dimension distribution

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Figure 5

Flowchart of calculating quality loss coefficient

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Figure 6

Flowchart of determining optimal semi-tolerance

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Figure 7

Oriented functional relationship

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Figure 8

Oriented functional relationship graph of rotary compressor

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Figure 9

First functional dimension chain

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Figure 10

Second functional dimension chain

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Figure 11

Third functional dimension chain

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Figure 12

Fourth functional dimension chain

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Figure 13

Functional dimensions of compressor assembly

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Figure 14

Probability density functions of normal and lognormal distributions for vane thickness

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Figure 15

Upper and lower tolerances of function dimensions

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Figure 16

Relation between correlation coefficient of cover plate thickness and cost

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Figure 17

Relation between standard deviations of mass production parts and cost

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Figure 18

Relation between weighting ratio and cost

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