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Research Papers

Toward Time-Dependent Robustness Metrics

[+] Author and Article Information
Xiaoping Du

Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technologydux@mst.edu

J. Mech. Des 134(1), 011004 (Jan 04, 2012) (8 pages) doi:10.1115/1.4005445 History: Received June 02, 2011; Revised October 21, 2011; Published January 04, 2012; Online January 04, 2012

Quality characteristics are often treated as constants in robust design, while many of them actually vary over time. It is desirable to define new robustness metrics for time-dependent quality characteristics. This work shows that using the static robustness metrics for time-dependent quality characteristics may lead to erroneous design results. We then propose criteria of new robustness metrics for time-dependent quality characteristics. Instead of using an expected point quality loss over the time period of interest, we use the expectation of the maximal quality loss over the time period to quantify the robustness for time-dependent quality characteristics. Through a four-bar function generator mechanism synthesis, we demonstrate that the new robustness metrics can capture the full information of robustness of a time-dependent quality characteristic over a time interval. The new robustness metrics can then be used as objective functions for time-dependent robust design optimization.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Quality loss function

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Figure 2

Time-dependent QC

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Figure 3

P-QLF in terms of Y and t

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Figure 4

P-QLF in terms of t

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Figure 6

Two QCs with same EL(t) but different EL(t0,t)

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Figure 8

Four-bar function generator mechanism

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Figure 9

Expected QLFs from I-QLF based robust design

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Figure 10

Expected QLFs from P-QLF based robust design

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Figure 11

Expected quality losses from both approaches

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Figure 12

Coefficients of autocorrelation of QLF

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Figure 13

Average motion errors

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