Multiobjective Optimization of Three-Stage Spur Gear Reduction Units Using Interactive Physical Programming

  • Huang Hong Zhong (School of Mechatronics Engineering, University of Electronic Science and Technology of China) ;
  • Tian Zhi Gang (Department of Mechanical Engineering, University of Alberta) ;
  • Zuo Ming J. (Department of Mechanical Engineering, University of Alberta)
  • 발행 : 2005.05.01

초록

The preliminary design optimization of multi-stage spur gear reduction units has been a subject of considerable interest, since many high-performance power transmission applications (e.g., automotive and aerospace) require high-performance gear reduction units. There are multiple objectives in the optimal design of multi-stage spur gear reduction unit, such as minimizing the volume and maximizing the surface fatigue life. It is reasonable to formulate the design of spur gear reduction unit as a multi-objective optimization problem, and find an appropriate approach to solve it. In this paper an interactive physical programming approach is developed to place physical programming into an interactive framework in a natural way. Class functions, which are used to represent the designer's preferences on design objectives, are fixed during the interactive physical programming procedure. After a Pareto solution is generated, a preference offset is added into the class function of each objective based on whether the designer would like to improve this objective or sacrifice the objective so as to improve other objectives. The preference offsets are adjusted during the interactive physical programming procedure, and an optimal solution that satisfies the designer's preferences is supposed to be obtained by the end of the procedure. An optimization problem of three-stage spur gear reduction unit is given to illustrate the effectiveness of the proposed approach.

키워드

참고문헌

  1. Chen, W., Sahai, A., Messac, A. and Sundararaj, G. J., 2000, 'Exploration of the Effectiveness of Physical Programming in Robust Design,' Journal of Mechanical Design, Transactions of the ASME, Vol. 122, No.2, pp. 155-163 https://doi.org/10.1115/1.533565
  2. David, F. T., Shubhagm, G. and Amit, S., 2000, 'Tradeoff Analysis in Minimum Volume Design of Multi-Stage Spur Gear Reduction Units,' Mechanism and Machine Theory, Vol. 35, No.5, pp.609-627 https://doi.org/10.1016/S0094-114X(99)00036-1
  3. Huang, H. Z., Tian, Z. and Gu, Y., 2004, 'Reliability and Redundancy Apportionment Optimization Using Interactive Physical Programming,' International Journal of Reliability, Quality And Safety Engineering , Vol. 11. No.3, pp. 213-222 https://doi.org/10.1142/S0218539304001476
  4. Juvinall, R. C. and Marshek, K. M., 1991, Fundamentals of Machine Component Design, 2nd ed., Wiley, New York, pp. 550-596
  5. Messac, A., 1996, 'Physical Programming: Effective Optimization for Computational Design,' AIAA Journal, Vol. 34, No. 1, pp. 149-158 https://doi.org/10.2514/3.13035
  6. Messac, A., Sukam, C. P. and Melachrinoudis, E., 2001, 'Mathematical and Pragmatic Perspectives of Physical Programming,' AIAA Journal, Vol. 39, No. 5, pp.885-893 https://doi.org/10.2514/2.1392
  7. Park, H. -W., Kim, M. -S., Choi, D. -H., 2002, 'A New Decomposition Method for Parallel Processing Multi-Level Optimization,' KSME International Journal, Vol. 16, No. 5, pp.609-618
  8. Park, H. -W., Lee, S. J., Lee, H. -S., Choi, D. -H., 2004, 'Adaptive Parallel Decomposition for Multidisciplinary Design,' KSME International Journal, Vol. 18, No.5, pp.814-819
  9. Tian, Z. and Huang, H. Z., 2002, 'Interactive Physical Programming and Its Application to Mechanical Design,' Proceedings of the 5th International Conference on Frontiers of Design and Manufacturing, Dalian, pp. 502-506