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TECHNICAL PAPERS

Quadratic Sensitivity Analysis of Fixtures and Locating Schemes for Rigid Parts

[+] Author and Article Information
Johan S. Carlson

Mathematical Statistics, Chalmers University of Technology, SE-41296 Gothenburg, Swedene-mail: jsc@math.chalmers.se

J. Manuf. Sci. Eng 123(3), 462-472 (Jun 01, 2000) (11 pages) doi:10.1115/1.1365397 History: Received July 01, 1999; Revised June 01, 2000
Copyright © 2001 by ASME
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References

Figures

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A workpiece translated and rotated from its nominal position due to locator positional error
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Point p rotated around the axis ω and the second order cross product approximation, p+ω×p+(1/2)ω×(ω×p), of the rotated point Rωp
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The 3-2-1 locating scheme
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The relative error of the displacement approximation at inspection point q1 caused by an error in the z-direction of locator 2 in Locating scheme 1
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The displacement distance at inspection point q1 when locator p1 in Locating scheme 1 is affected by an error in the y direction and a locator p2 have a constant error of 1[mm] in the z direction
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The displacement distance at inspection point q1 when locator p3 in Locating scheme 2 is affected by error in the z direction
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Distance of the displacement at inspection point q1 when locator p2 in Locating scheme 2 is affected by errors in the z direction
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The largest allowed source error for locating scheme 1 where the relative error is required to be less than 10 percent. The source error bounds are calculated for the inspection points {qi}i=14 evaluated in the y and z directions.
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The largest allowed source error for locating scheme 2 where the relative error is required to be less than 10 percent. The source error bounds are calculated for the inspection points {qi}i=14 evaluated in the y and z directions.

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