A Study for robustness of objective function and constraints in robust design optimization |
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Authors: | Tae Won Lee |
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Affiliation: | 1. School of Mechanical Engineering, Kumoh National Institute of Technology, 1 Yangho-dong, Gumi, 730-701, Gyeongbuk, Korea
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Abstract: | Since randomness and uncertainties of design parameters are inherent, the robust design has gained an ever increasing importance
in mechanical engineering. The robustness is assessed by the measure of performance variability around mean value, which is
called as standard deviation. Hence, constraints in robust optimization problem can be approached as probability constraints
in reliability based optimization. Then, the FOSM (first order second moment) method or the AFOSM (advanced first order second
moment) method can be used to calculate the mean values and the standard deviations of functions describing constraints and
object. Among two methods, AFOSM method has some advantage over FOSM method in evaluation of probability. Nevertheless, it
is difficult to obtain the mean value and the standard deviation of objective function using AFOSM method, because it requires
that the mean value of function is always positive. This paper presented a special technique to overcome this weakness of
AFOSM method. The mean value and the standard deviation of objective function by the proposed method are reliable as shown
in examples compared with results by FOSM method. |
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Keywords: | |
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