DOI QR코드

DOI QR Code

Global Optimization of Composite Structures Using Triangular Patch Algorithm

삼각 패치 알고리듬을 이용한 복합 재료 구조물의 전체 최적화

O, Seung-Hwan;Lee, Byeong-Chae
오승환;이병채

  • Published : 2001.04.01

Abstract

Several design problems of composite structures are studied via a global optimizer based on attraction regions. MSC/NASTRAN is adopted for static and eigenvalue analysis. The method of modified feasible direction in DOT is used for local optimization. Through the review of global optimization algorithms, the triangular patch algorithm is selected because the algorithm is known to be efficient, robust and powerful for general nonlinear optimization problems. For general applicability, various mechanical properties are considered as design objectives; strain energy, eigenvalue, weight, displacement, and buckling load. In all cases considered, the triangular patch algorithm results in a lot of optimum points and useful design patterns, that are not easy by local algorithms or conventional global algorithms can be determined.

Keywords

Global Optimization;Triangular Patch Algorithm;Composite Structure

References

  1. 오승환, 이병채, 2000, '영역 제거법의 확장을 통한 전체 최적화 알고리듬의 개선,' 대한기계학회논문집 A권, 제 24 권, 제 1 호, pp. 240-249
  2. Vanderplaats, M., 1993, DOT User's Manual, Ver.4, VMA Engineering
  3. Caffrey, J., 1994, MSC/NASTRAN User's Manual, Ver.68, Macneal-Schwendler cooperation
  4. 권일범, 1989, 복합재료 면재를 갖는 샌드위치 평판의 최적화, 한국과학기술원 항공공학과 석사논문
  5. Vinson, J. R., 1986, 'Optimum Design of Composite Honeycomb Sandwich Panels subjected to Uniaxial compression,' AIAA Journal, Vol. 24(10), pp. 1690-1696
  6. Eschenauer H. A., and Fuchs, W., 1986, 'Fiber Reinforced Sandwich Plates under Static Loads-Proposals for Their Optimization,' Transaction of the ASME, Vol. 108, pp. 152-158
  7. Ding, Y., 1987, 'Optimum Design of Sandwich Constructions,' Computers and Structures, Vol. 25(1), pp. 51-68 https://doi.org/10.1016/0045-7949(87)90217-3
  8. Butler, R., Tyler, A. A. and Cao, W., 1994, 'Optimum Design and Evaluation of Stiffened Panels with Practical Loading,' Computers and Structures, Vol. 52(6), pp. 1107-1118 https://doi.org/10.1016/0045-7949(94)90177-5
  9. Oh, J. H. and Lee, D. G., 1997, 'Composite Nozzle Dam in the Steam Generator of a Nuclear Reactor,' Composite Structures, Vol. 38(2), pp. 203-213 https://doi.org/10.1016/S0263-8223(97)00056-1
  10. Verijenko, V. E., Summers, E. B., Adali, S., and Walker, M., 1998, 'Minimum Stress Design of Transversely Isotropic Sandwich Plates Based on Higher-Order Theory,' Structural Optimization, Vol. 15(2), pp. 114-123
  11. Kam, T. Y., and Chang, F. M, 1995, 'Design of Laminated Composite Plates for Optimal Dynamic Characteristics Using a Constrained Global Optimization Technique,' Computer Methods in Applied Mechanics and Engineering, Vol. 120, pp. 389-402 https://doi.org/10.1016/0045-7825(94)00063-S
  12. Levy, A. S. and Montalvo, A., 1985, 'The Tunneling Algorithm for Global Minimization of Functions,' SIAM Journal of Sciences and Statistical Computation, 6, 15-29 https://doi.org/10.1137/0906002
  13. Lee, J. B., and Lee, B. C., 1996, 'A Global Optimization Algorithm Based on the New Filled Function Method and the Genetic Algorithm,' Engineering Optimization, 27, 1-20 https://doi.org/10.1080/03052159608941397
  14. Price, W. L., 1987, 'Global Optimization Algorithm for a CAD Workstation,' Journal of Optimization Theory and Application, 55(1), 133-146 https://doi.org/10.1007/BF00939049
  15. May, S. A. and Balling, R. J., 1992, 'A Filtered Simulated Annealing Strategy for Discrete Optimization of 3D Frameworks,' Structure Optimization, 4, 142-148 https://doi.org/10.1007/BF01742735
  16. Goldberg, D. E. and Kou, C. H., 1987, 'Genetic Algorithms in Pipeline Optimization,' Journal of Computing in Civil Engineering, 1, 128-141
  17. Glover, F., 1977, 'Heuristics for Integer Programming Using Surrogate Constraints,' Decision Science, 8, 156-166 https://doi.org/10.1111/j.1540-5915.1977.tb01074.x
  18. Boender, C. G. E. and Rinnooy Kan A. H. G., 1987, 'Baysian Stopping Rules for Multistart Global Optimization Methods,' Mathematical Programming, Vol. 37, 59-80 https://doi.org/10.1007/BF02591684
  19. Rinnooy Kan, A. H. G. and Timmer, G. T., 1987, 'Stochastic Global Optimization Methods, Part Ⅰ:Clustering Methods,' Mathematical Programming, 39, 27-56 https://doi.org/10.1007/BF02592070
  20. Elwakeil, O. A. and Arora, J. S., 1996, 'Two Algorithms for Global Optimization of General NLP Problems,' International Journal for Numerical Methods in Engineering, 39(19), 3305-3325 https://doi.org/10.1002/(SICI)1097-0207(19961015)39:19<3305::AID-NME1>3.0.CO;2-S
  21. Arora, J. S., Elwakeil, O. A. and Chahande, A. I., 1995, 'Global Optimization Methods for Engineering Applications: a Review,' Structural Optimization, Vol. 9, 137-159 https://doi.org/10.1007/BF01743964
  22. Evtushenko, Y. G., 1985, Numerical Optimization Techniques, Optimization Software, Inc., New York, 1-561
  23. Arora, J. S., 1992, Global Optimization Methods for Engineering Applications, Technical Report, Optimal Design Laboratory, Iowa Univ.
  24. Snyman, J. A. and Fatti, L. P., 1987, 'A Multistart Global Minimization Algorithm with Dynamic Search Trajectories,' Journal of Optimization Theory and Application, 54(1), 121-141 https://doi.org/10.1007/BF00940408
  25. Kam, T. Y., and Chang, R. R., 1993, 'Design of Laminated Composite Plates for Maximum Buckling Load and Vibration Frequency', Computer Methods in Applied Mechanics and Engineering, Vol. 106, pp. 65-81 https://doi.org/10.1016/0045-7825(93)90185-Z
  26. 강수춘, 김동민, 1992, '복합재료 풍차 날개의 구조설계,' 대한기계학회논문집, 제 16 권, 제 1 호, pp. 162-174
  27. 이영신, 이열화, 1993, '최대 열적 좌굴 하중을 갖는 두꺼운 복합재료 적층판의 설계,' 대한기계학회논문집, 제 17 권, 제 7 호, pp.1761-1771
  28. 김창환, 황운동, 1996, '강도를 고려한 원통형 복합재료 구조물의 최적 설계,' 대한기계학회논문집, 제 20 권, 제 3 호, pp. 968-977
  29. 이강용, 1991, '복합재료의 층간 파괴 인성,' 대한기계학회논문집, 제 15 권, 제 5 호, pp. 1479-1485
  30. 홍창선, 1992, '복합 재료 적층 구조의 역학적 특성,' 대한기계학회논문집, 제 32 권, 제 1 호, pp. 4-17
  31. 김천욱, 김치균, 1992, '복합재 원통 쉘의 동적 거동 연구,' 대한기계학회논문집, 제 16 권, 제 10 호, pp. 1807-1815
  32. 안국찬, 김문생, 1988, '유한 요소법에 의한 적층 복합 보의 충격 해석,' 대한기계학회논문집, 제 12 권, 제 4 호, pp. 652-661
  33. 이영신, 이현, 1989, '적층된 축대칭 복합재료 쉘 구조물의 정, 동 구조해석,' 대한기계학회논문집, 제 13 권, 제 6 호, pp. 1203-1214
  34. 이영신, 박웅, 1990, '고차 전단 변형 이론에 의한 복합재료 적층판의 저속 충격 응답,' 대한기계학회논문집, 제 14 권, 제 6 호, pp. 1365-1381
  35. 이영신, 문홍기, 1986, '직교 이방성 복합재료 원통쉘의 자유진동 해석,' 대한기계학회논문집, 제10권, 제5호, pp. 758-769