Browse > Article
http://dx.doi.org/10.3795/KSME-A.2008.32.1.029

The Efficient Sensitivity Analysis on Statistical Moments and Probability Constraints in Robust Optimal Design  

Huh, Jae-Sung (한국항공우주연구원 KHP 개방실 엔진팀)
Kwak, Byung-Man (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.32, no.1, 2008 , pp. 29-34 More about this Journal
Abstract
The efforts of reflecting the system's uncertainties in design step have been made and robust optimization or reliability-based design optimization are examples of the most famous methodologies. In their formulation, the mean and standard deviation of a performance function and constraints expressed by probability conditions are involved. Therefore, it is essential to effectively and accurately calculate them and, in addition, the sensitivity results are required to obtain when the nonlinear programming is utilized during optimization process. We aim to obtain the new and efficient sensitivity formulation, which is based on integral form, on statistical moments such as the mean and standard deviation, and probability constraints. It does not require the additional functional calculation when statistical moments and failure or satisfaction probabilities are already obtained at a design point. Moreover, some numerical examples have been calculated and compared with the exact solution or the results of Monte Carlo Simulation method. The results seem to be very satisfactory.
Keywords
Sensitivity Analysis; Statistical Moment; Probability Constraint; Moment Method; Robust Optimal Design;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By SCOPUS : 2
연도 인용수 순위
1 Seo, H. K., and Kwak, B. M., 2002, 'Efficient Statistical Tolerance Analysis for General Distribution Using Three Point Information,' International journal for production research, pp. 931-944   DOI   ScienceOn
2 Lee, S. H., and Kwak, B. M., 2006, 'Response Surface Augmented Moment Method for Efficient Reliability Analysis,' Structural Safety, Vol. 28, No. 3, pp. 261-272   DOI   ScienceOn
3 Youn, B. D., Choi, K. K., and Yang, L. G., 2004, 'Reliability-Based Design Optimization for Crashworthiness of Vehicle Side Impact,' Strut. Multi disc. Optim. Vol. 25, pp. 272-283
4 Huh, J. S., Kim, K. H., Kang, D. W., Gweon, D. G., and Kwak, B. M., 2006, 'Performance Evaluation of Precision Nano positioning Devices Caused by Uncertainties Due to Tolerances Using Function Approximation Moment Method,' Review of Scientific Instruments, Vol. 77, No. 1, pp.015103-015111   DOI   ScienceOn
5 Han, J. S., and Kwak, B. M., 2001, 'Robust Optimal Design of a Vibratory Micro gyroscope Considering Fabrication Errors,' Journal of Micromechanics of Microengineering, Vol. 11, No. 6, pp. 662-671   DOI   ScienceOn
6 Park, G. J., Lee, T. H., Lee, K. W., and Hwang, K. H., 2006, 'Robust Design: An Overview,' AIAA Journal, Vol. 44, No. 1, pp. 181-191   DOI
7 D'Errico, J. R., and Zaino Jr., N. A., 1988, 'Statistical Tolerancing Using a Modification of Tagu chi's Method,' Technometrics, Vol. 30, No. 4, pp. 397-405   DOI
8 Huh, J. S., and Kwak, B. M., 2007, 'Numerical Verification of the First Four Statistical Moments Estimated by a Function Approximation Moment Method,' Transactions of the KSME A, Vol. 31, No. 4, pp. 490-495   DOI
9 Zhao, Y.G., and Ono, T., 2001, 'Moment Methods for Structural Reliability,' Structural safety, Vol.23, pp. 47-75   DOI   ScienceOn
10 Huh, J. S., Jung, B. C., Lee, T. Y., and Kwak, B. M., 2006, 'A Study on the Robust Optimal Supporting Positions of TFT-LCD Glass Panel,' Transactions of the KSME A, Vol. 30, No. 8, pp. 1001-1007   DOI
11 Tu, J., Choi, K. K., and Park, Y. H., 2001, 'Design Potential Method for Robust System Parameter Design,' AIAA Journal, Vol. 39, No. 4, pp. 667-677   DOI   ScienceOn
12 Thoft-Christensen, P., and Baker, M., 1982, Structural Reliability Theory and Its Applications, Springer-Verlag
13 Kang, H. Y., Lee, Y. H., Huh, J. S., and Kwak, B. M., 2006, 'Comparative Study of RBDO Algorithms Based on Form and FAMM,' III European Conference on Computational Mechanics