Development of an Optimization Technique for Robust Design of Mechanical Structures

기계 구조의 강건 설계를 위한 최적화 기법의 개발

Jeong, Do-Hyeon;Lee, Byeong-Chae

  • Published : 2000.01.01


In order to reduce the variation effects of uncertainties in the engineering environments, new robust optimization method, which considers the uncertainties in design process, is proposed. Both design variables and system parameters are considered as random variables about their nominal values. To ensure the robustness of performance function, a new objective is set to minimize the variance of that function. Constraint variations are handled by introducing probability constraints. Probability constraints are solved by the advanced first order second moment (AFOSM) method based on the reliability theory. The proposed robust optimization method has an advantage that the second derivatives of the constraints are not required. The suggested method is examined by solving three examples and the results are compared with those for deterministic case and those available in literature.


Robust Design;Uncertainty;Sensitivity Robustness;Feasibility Robustness;Probabilistic Constraint


  1. Rao, S. S., 1996, Engineering Optimization, John Wiley & Sons, New York
  2. Kwak, B. M. and Lee, T. W., 1987, 'Sensitivity Analysis for Reliability-Based Optimization Using an AFOSM Method,' Computers & Structures, Vol. 27, pp. 399-406
  3. Su, J. and Renaud, J. E., 1997, 'Automatic Differentiation in Robust Optimization,' AIAA, Vol. 35, No.6, pp. 1072-1079
  4. Ramakrishnan, B. and Rao, S. S., 1996, 'A General Loss Function Based Optimization Procedure for Robust Design,' Engineering Optimization, Vol. 25, pp. 255-276
  5. Chao, L. P., 1996, 'Multiobjective Optimization Design Methodology for Incorporating Manufacturing Uncertainties in Advanced Composite Structures,' Engineering Optimization, Vol. 25, pp. 309-323
  6. 이권희, 박경진, 1997, '설계변수의 공차를 고려한 구조물의 강건 최적설계,' 대한기계학회 논문집, 제 2 권, 제 1 호, pp. 112-123
  7. d'Entremont, K and Ragsdell, K. M., 1988, 'Design for Latitude Using TOPT,' In Advances in Design Automation, ASME, New York, Vol. 14, pp. 265-272
  8. Chen, W., Allen, J. K, Mavris, D. N. and Mistree, E, 1996, 'A Concept Exploration Method for Detennining Rbust Top-Level Specifications,' Engineering Optimization, Vol. 26, pp. 137-158
  9. Chen, W., Allen, J. K., Tsui, K L. and Mistree, E, 1996, 'A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors,' Journal of Mechanical Design, Vol. 118, 478-485
  10. Belegundu, A. D. and Zhang, Shenghua, 1992, 'Robustness of Design Through Minimum Sensitivity,' Journal of Mechanical Design, Vol. 114, pp. 213-220
  11. Parkinson, A., Sorensen, C, and Pourhassan, N., 1993, 'A General Approach for Robust Optimal Design,' Journal of Mechanical Design, Vol. 115, pp. 74-80
  12. Sundaresan, S., Ishii, K, and Houser, D. R., 1995, 'A Robust Optimization Procedure with Variations on Design Variables and Constraints,' Engineering Optimization, Vol. 24, pp. 101-117
  13. Phadke, M. S., 1989, Quality Engineering Using Robust Design, Prentice Hall, Englewood Cliffs, New Jersey