A Structural Optimization Methodology Using the Independence Axiom

독립 공리를 이용한 구조 최적화 방법론 개발

  • Published : 2000.10.01


The Design Axioms provide a general framework for design methodologies. The axiomatic design framework has been successfully applied to various design tasks. However, the axiomatic design has been rarely utilized in the detailed design process of structures where the optimization technology is generally carried out. The relationship between the axiomatic design and the optimization is investigated and Logical Decomposition method is developed for a systematic structural optimization. The entire optimization process is decomposed to satisfy the Independence Axiom. In the decomposition process, design variables are grouped according to sensitivities. The sensitivities are evaluated by the Analysis of Variance(ANOVA) to avoid considering only local values. The developed method is verified through examples such as the twenty -five members transmission tower and the two -bay-six-story frame.


Axiomatic Design;Structural Optimization;Logical Decomposition;Sum of Squares;Uncoupled Design;Nearly-Uncoupled Design


  1. Suh, Nam. P., 1995, 'Design and Operation of Large Systems,' Journal of Manufacturing Systems, Vol. 14, No. 3, pp.203-213
  2. Suh, Nam. P., 1995, 'Axiomatic Design of Mechanical system,' Special 50th Anniversary Combined Issue of the Journal of Mechanical Design and the Journal of Vibration and Acoustics, Transaction of ASME, Vol. 117, pp. 1-10
  3. Suh, Nam. P., 1984, 'Developing of the Science Base for the Manufacturing Field Through the Axiomatic Approach,' Journal of Robotics and Computer Integrated Engineering, Vol. 1, No. 3, pp. 397-415
  4. Lee, K. W. and Park, G. J., 1997, 'Accuracy Test of Sensitivity Analysis in the Semianalytic Method with respect to Configuration Variables,' Computer and Structures, Vol. 63, No. 6, pp. 1139-1148
  5. 도성희, 1997, '설계공리를 응용한 TV 유리 벌브의 제조를 고려한 설계 방법 개발,' 한양대학교 기계설계학과 박사학위 논문
  6. Albano, Leonard D. and Suh, Nam P., 1992, 'Axiomatic Approach to Structural Design,' Research in Engineering Design, Springer-Verlag, New York, pp. 171-183
  7. Haug, E. J., Arora, J. S. 1979, Applied Optimal design, John Wiley & Sons, Inc., New York
  8. Arora, J. S., 1989, Introduction to Optimum Design, McGraw-Hill, Inc., New York
  9. Haftka, R. T. and Zafer G., 1992, Elements of Structural Optimization, Kluwer Academic Publishes
  10. 이광원, 1998, ' 독립 설계 공리를 이용한 구조물의 최적 설계,' 한양대학교 기계설계학과 박사학위논문
  11. 박성현, 1982, 현대실험계획법, 대영사
  12. 이찬훈, 김영호, 1994, 공업 통계학, 전영사
  13. GENESIS ver 5.0 Users Manual, VMA, Colorado Springs
  14. Suh, Nam. P., 1990, The Principle of Design, Oxford Univesity Press, New York