Browse > Article
http://dx.doi.org/10.9712/KASS.2012.12.2.089

Optimum Structural Design of Space truss with consideration in Snap-through buckling  

Shon, Su-Deok (한국기술교육대학교)
Lee, Seung-Jae (한국기술교육대학교 건축공학부)
Choi, Jae-Hyun (한국기술교육대학교 건축공학부)
Publication Information
Journal of Korean Association for Spatial Structures / v.12, no.2, 2012 , pp. 89-98 More about this Journal
Abstract
This study investigates the optimum structural design of space truss considering global buckling, and is to obtain the minimal weight of the structure. The mathematical programming method is used for optimization of each member by member force. Besides, dynamic programming method is adapted for consideration in snap-through buckling. The mathematical modeling for optimum design of truss members consists of objective function of total weight and constrain equations of allowable tensile (or compressive) stress and slenderness. The tangential stiffness matrix is examined to find the critical point on equilibrium path, and a ratio of the buckling load to design load is reflected in iteration procedures of dynamic programming method to adjust the stiffness of space truss. The star dome is examined to verify the proposed optimum design processor. The numerical results of the model are conversed well and satisfied all constrains. This processor is a relatively simple method to carry out optimum design with consideration in global buckling, and is viable in practice with respect to structural design.
Keywords
Space truss; Star dome; Snap-through; Optimum structural design; Mathematical programming method; dynamic programming method;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
연도 인용수 순위
1 Bulenda, Th. and Knippers, J. "Stability of grid shells," Computers and Structures, vol.79, 2001, pp.1161-1174   DOI   ScienceOn
2 윤한흠, 한상을 "래티스돔의 다분기 해석을 위한 알고리즘에 관한연구," 대한건축학회논문집 구조계, 제16권 9호, 2000, pp.3-9
3 손수덕, 김숭덕, 황경주, 강문명 "절점 강성을 고려한 공간 구조물의 비선형 불안정 거동에 관한 연구", 한국공간구조학회논문집, 제3권 제1호, 2003.3, pp.87-97.   과학기술학회마을
4 Saka, M. P., "Optimum Design of Rigidly Jointed Frames." Computers and Structures, Vol. 11, No. 5, 1980, pp.411-419   DOI   ScienceOn
5 Mu, Z.G., Shon, S.D. and Kang, M.M., "Fuzzy Optimization Design of Reticular Space Structures," Proceeding of Fifth Pacific Structural Steel Conference, Seoul Korea, Oct. 13-16, 1998, pp.397-402
6 Ding, Y., "Shape Optimization of Structures: A Literature Survey," Computers Structures, Vol. 24, No. 6, 1986, pp.985-1004   DOI   ScienceOn
7 Lin, J. H., Che, Y. W., and Yu, Y. S., "Structural Optimization on Geometrical Configuration and Element Sizing with Statical and Oynamical Constraints," Computers and Structures, Vol. 15, No. 5, 1982, pp.507-515   DOI   ScienceOn
8 Topping, B. H. V., "Shape Optimization of Skeleted Structures: A review." J. Struct. Div., ASCE, Vol. 109, 1983, pp.1933-1952   DOI
9 Fleury, C., and Geradin, M., "Optimality Criteria and Mathematical Programming in Structural Weight Optimization,'' Computers and Structures, Vol. 19, No. 8, 1978, pp.7-17
10 Khot, N. S., Berke, L., and Venkayya, V. B., "Comparison of Optimality Criteria Algorithms for Minimum Weight Oesign of Structures," AIAA J., Vol. 19, No. 2, 1978, pp.182-190
11 Saka, M. P., "Optimum Oesign of Steel Grillage Systems." Proc. 3rd Int. Conf. Steel Structures, Singapore Steel Society, 1987, pp.273-290
12 Saka, M. P., ''Optimum Oesign of Nonlinear Space Trusses." Computers and Structures, Vol. 30, No. 3, 1988, pp.545-551   DOI   ScienceOn
13 Zacharopoulos, A., Willmert, K. D., and Khan, M. R., "An Optimality Criterion Method for Structures with Stress, Oisplacement and Frequency Constraints,'' Computers and Structures, Vol. 19, No. 4, 1984, pp.621-629   DOI   ScienceOn
14 Shon, S.D., Mu, Z.G., Kang, M.M., Kim, S.D. and Kwun, T.J., "Optimization of space truss using fuzzy GINO programming," proceedings of ICCSS'97, Nov.5-7, Taipei, 1997, pp.361-366
15 Haug, E. J., and Arora, J. S., "Applied Optimal Design," John Wiley and Sons, Inc., New York, 1981
16 손수덕, 김승덕, 이숭재, 김종식 "돔형 스페이스 프레임 구조물의 하중모드에 따른 분기점 특성에 관한 연구,' 한국공간구조학회 논문집, 제11권 1호, 2011, pp.121-130   과학기술학회마을
17 이진혁, 백태순, 손수덕, 김승덕, 강문명, "트러스형 공간구조물의 초기 불완전을 고려한 불안정 현상에 관한 연구", 한국공간구조학회논문집, 제4권 제2호, 2004.6, pp.63-71.   과학기술학회마을
18 손수덕, 김숭덕, 강문명 "Flow Truss Dome 구조물의 비대칭 하중모드에 따른 불안정 현상에 관한 연구", 한국공간구조학회 논문집, 제2권 4호, 2002, pp.61-76   과학기술학회마을
19 Liebman, J., Lasdon, Schrage, L. and Waren, A.D., Modeling and Optimiztion with GINO, The Scientific Press, 1986
20 김종성, 손수덕, "박공형 철골건물의 GA와 동적 계획법을 이용한 최적설계에 관한 연구" 대한건축학회논문집구조계, 제17권, 11호, 2001, pp.51-58
21 Hill, C.D. and Wang, S.T., "Post-buckling analysis of steel space trusses,'' Journal of Structural Engineering. ASCE, Vol. 115, No. 4, 1989, pp.900-919   DOI
22 Saka, M. P., "Optimum Oesign of Pin-Jointed Steel Structures with Practical Applications." J. Struct. Oiv., ASCE, Vol. 116, No. 10, 1990, pp.2599-2620   DOI
23 Coan, CH. and Plaut, R.H. "Dynamic stability of a lattice dome," Earthquake Engineering and Structural Dynamics, vol.11, 1983, pp.269-274   DOI
24 Kim, S.O., Kang, M.M., Kwun, T.J. and Hangai Y. "Oynamic instability of shell-like shallow trusses considering damping," Computers and Structures, vol.64 no.1-4, 1997, pp.481-489   DOI   ScienceOn
25 Huseyin K. "The multi-parameter perturbation technique for the analysis of nonlinear system," International Journal of Nonlinear Mechanics, vol.8 no.5, 1973, pp.431-443   DOI   ScienceOn
26 Choong, K.K. and Hangai, Y. "Review on methods of bifurcation analysis for geometrically nonlinear structures," Bulletin of the International Association for Shell and Spatial structures, vol.34 no.112, 1993, pp.133-149
27 Abedi, K. and Parke, G.A.R. "Progressive collapse of single-layer braced domes," International Journal of Space Structures, vol.11 no.3, 1991, pp.291-306
28 Choong, K.K. and Kim, J.Y. "A numerical strategy for computing the stability boundaries for multi-loading systems by using generalized inverse and continuation method,'' Engineering structures, vol. 23, 2001, pp.715-724   DOI   ScienceOn
29 Bergan, P. G. "Solution algorithms for nonlinear structural problems," Computers and Structures, vol.12, 1980, pp.497-509   DOI   ScienceOn
30 Kato, S., Mutoh, I. and Shomura, M. "Effect on joint rigidity on buckling strength of single layer lattice dome,'' Bulletin of the International Association for Shell and Spatial structures, vol.35, 1994, pp.101-109
31 Chan, S.L. and Zhou, Z.H. "Second-order elastic analysis of frames using single imperfect element per member, Journal of Structural Engineering, vol.121, no.6, 1995, pp.939-945   DOI   ScienceOn
32 모재근, 손수덕, 김명선, 강문명, "단층 래티스 돔의 퍼지 최적설계에 관한 연구," 대한건축학회논문집, 제14권 제6호, 1998, pp.21-30   과학기술학회마을
33 손수덕, 김명선, 김승덕, 강문명, "스페이스 트러스 구조에 관한 최적화 구조해석 프로그램의 개발", 한국강구조학회 논문집, 제10권 제3호 1998, pp.487-495