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A Study for robustness of objective function and constraints in robust design optimization

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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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References

  • Ang, A. H. -S. and Tang, W. H., 1984,Probability Concepts in Engineering Planning and Design, John Wiley and Sons, New York.

    Google Scholar 

  • Doltsinis, I. and Kang, Z., 2004, “Robust Design of Structures Using Optimization Methods,”Computer Methods in Applied Mechanics and Engineering, Vol. 193, pp. 2221–2237.

    Article  MATH  Google Scholar 

  • Jung, D. H. and Lee, B. C., 2000, “Development of an Efficient Optimization Technique for Robust Design by Approximating Probability Constraints,” Transaction of KSME (A), Vol. 24, No. 12, pp. 3053–3060.

    MathSciNet  Google Scholar 

  • Lee, K. H. and Park, G. J., 2001, “Robust Optimization Considering Tolerance of Design Variables,”Computers & Structure, Vol. 79, No. 1, pp. 77–86.

    Article  Google Scholar 

  • Lee, T. W. and Kwak, B. M., 1987–1988a, “A Reliability Based Optimal Design Using Advanced First Order Second Moment Method,”Mech. Struct. & Mack, Vol. 15, No. 4, pp. 523–542.

    Article  Google Scholar 

  • Lee, T. W. and Kwak, B. M. 1987b, “Sensitivity Analysis for Reliability Based Optimization Using an AFOSM Method,” Computers & Structure, Vol. 27, No. 3, pp. 399–406.

    Article  MATH  MathSciNet  Google Scholar 

  • Phadke, M. S., 1989,Quality Engineering Using Robust Design, Prentice Hall, Englewood Cliffs, New Jersey.

    Google Scholar 

  • Ramakrishnan, B. and Rao, S. S., 1996, “A General Loss Function Based Optimization Procedure for Robust Design,”Engineering Optimization, Vol. 25, No. 4, pp. 255–276.

    Article  Google Scholar 

  • Taguchi, G., 1987,System of Experimental Design, UNIPUB/ Kraus International Publications, White Plains, New York.

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering, Kumoh National Institute of Technology, 1 Yangho-dong, Gumi, 730-701, Gyeongbuk, Korea

    Tae Won Lee

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  1. Tae Won Lee
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Correspondence to Tae Won Lee.

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Lee, T.W. A Study for robustness of objective function and constraints in robust design optimization. J Mech Sci Technol 20, 1662–1669 (2006). https://doi.org/10.1007/BF02916270

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  • DOI: https://doi.org/10.1007/BF02916270

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