Browse > Article

Semi-rigid Elasto-Plastic Post Buckling Analysis of Space Frame by Using the Explicit Arc-Length Method  

Lee, Kyoung-Soo (인하대학교 건축학부)
Han, Sang-Eul (인하대학교 건축학부)
Publication Information
Journal of Korean Society of Steel Construction / v.23, no.5, 2011 , pp. 535-546 More about this Journal
Abstract
In this paper, semi-rigid elasto-plastic post-buckling analysis of a space frame was performed using various explicit arc-length methods. Various explicit arc-length methodsand a large-deformation and small-strain elasto-plastic 3D space frame element with semi-rigid connections and plastic hinges were developed. This element can be appliedto both explicit and implicit numerical algorithms. In this study, the Dynamic Relaxation method was adopted in the predictor and corrector processesto formulate an explicit arc-length algorithm. The developed "explicit-predictor" or "explicit-corrector" were used in the elasto-plastic post-buckling analysis. The Eulerian equations for a beam-column with finite rotation, which considers the bowing effects, were adopted for the elastic system and extended to theinelastic system with a plastic hinge concept. The derived tangent stiffness matrix was asymmetrical due to the finite rotation. The joint connection elements were introduced for semi-rigidity using a static condensation technique. Semi-rigid elasto-plastic post-buckling analyses were carried out to demonstrate the potential of the developed explicit arc-length method and advanced space frame element in terms of accuracy and efficiency.
Keywords
arc-length method; dynamic relaxation method; beam-column element; elasto-plastic post buckling analysis; semi-rigid;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 김문영, 노범준, 정성엽(1996) 공간뼈대 구조물의 대변형 및 탄소성 유한요소해석,1996년도 한국강구조학회 학술발표대회 논문집, 한국강구조학회, pp.157-168.
2 한상을, 이경수, 이상진(1999) 동적이완법에 의한 불안정 구조물의 안정화이행과정 해석에 관한 연구. 한국강구조학회지, 한국강구조학회, 제11권, 제6호, pp.591-602
3 이경수, 한상을(2009) 공간구조물의 분기좌굴해석을 위한 수치해석 이론개발, 한국강구조학회 논문집, 한국강구조학회, 제21권, 제6호, pp.563-574.
4 이경수, 한상을(2009) 유한변형과 접합특성을 고려한 공간프레임의 대변형 탄소성 해석, 한국강구조학회 논문집, 한국강구조학회, 제21권, 제6호, pp.597-608.
5 加藤史郎 (1997) 單層ラチスドームの座屈に關する硏究成果の報告,ラチス構造の彈遡性座屈解析法 の基礎, 符籙1, 豊橋技術科學大學建設工學系構造工學講座.
6 Abbasnia, R. and Kassimali, A. (1995) Large Deformation Elastic-plastic Analysis of Space Frames, J. Construct. Steel Research, Vol.35, pp.275-290.   DOI   ScienceOn
7 Argyris, J.H., Boni, B., Hindenlang, U., and Kleiber, M. (1982) Finite element analysis of two and three dimensional elasto-plasic frames-the natural approach, Comput. Meths. Appl. Mech. Engrg. Vol.35, pp.221 248   DOI   ScienceOn
8 Batoz, J.L. and Dhatt, G. (1979) Incremental displacement algorithm for nonlinear problems, Int. J. Num. Meth. Eng. Vol.14, pp.1262-1266.   DOI
9 Chen, W.F., Goto, Y., and Liew, J.Y.R. (1996) Stability Design of Semi-Rigid Frames, John Willey& Sons, Inc.
10 Cheng, H. and Gupta, K.C. (1989) An historical note on finite rotations, J. Applied Mechanics, Vol. 56, pp.139-145.   DOI
11 Crisfield. M.S. (1981) A fast incremental iterative solution procedure that handles 'snap through', Computer & Structures, Vol.13, pp.55-62.   DOI   ScienceOn
12 Crisfield, M.A. (1997) Nonlinear finite element analysis of solids and structures, Vol.2, Advanced Topics, John Wiley & Sons.
13 Euler, L. (1775) Formulae Generales pro Trans latione Quacunque Corporum Rigiddrum, Novi Commentari Acad. Imp. Petrop., Vol.20, pp.189-207.
14 Goldstein, H. (1980) Classical Mechanics, Addison-Wesle
15 Han, S.E. and Lee, K.S. (2003) A Study of the Stabilizing Process of Unstable Structures, Computers & Structures, Vol.81, pp.1677-1688.   DOI   ScienceOn
16 Kato, S., Mutoh, I., and Shomura, M. (1998) Collapse of semi-rigidly jointed reticulated domes with initial geometric imperfections, J. Construct. Steel Research, Vol.48, pp.145-168.   DOI   ScienceOn
17 Kato, S., Kim, J.M., and Cheong, M. (2003) A new proportioning method for member sections of single layer reticulated domes subjected to uniform and nonuniform loadings, Engineering Structures, Vol.25, pp.1265-1278.   DOI   ScienceOn
18 Kassimali, A. and Abbasnia, R. (1991) Large deformation analysis of elastic space frames, J. Struc. Eng. ASCE, Vol.117(7), pp.2067-2087.
19 Kondoh, K. and Atluri, S.N. (1986) Simplified Finite Element Method for Large Deformation, Post-Buckling Analysis of Large Frame Structures, Using Explicitly Derived Tangent Stiffness Matrices, Int. J. Num. Meth. Eng. Vol.23(1), pp.69-90.   DOI   ScienceOn
20 Lee, K.S., Han, S.E., and Park, T.H. (2011) A simple explicit arc-length method using the dynamic relaxation method with kinetic damping, Computers & Structures, Vol.89, pp.216-233.   DOI   ScienceOn
21 Lee, K.S. and Han, S.E. (2011) Semi-rigid Elasto Plastic Post Buckling Analysis a Space Frame with Finite Rotation, International Journal of Advanced Steel Construction, Vol. 7(3), pp.275-303.
22 Nee, K.M. and Haldar, A. (1988) Elastoplastic Nonlinear Post-Buckling Analysis of Partially Restrained Space Structures, Comput. Meths. Appl. Mech. Engrg., Vol.71. pp.69-97.   DOI   ScienceOn
23 Levy, R. and Spillers, W.R. (2003) Analysis of Geometrically Nonlinear Structures, Second Edition, Kluwer Academic Publishers
24 Liew, J.Y.R., Chen, H., Shanmugam, N.E., and Chen W.F. (2000) Improved nonlinear plastic hinge analysis of space frame structures, Engineering Structures, Vol.22, pp.1324-1338.   DOI   ScienceOn
25 Meek, J.L. and Tan, H.S. (1984) Geometrically Nonlinear Analysis of Space Frames by an Incremental Iterative Technique, Comput. Meths. Appl. Mech. Engrg., Vol.47. pp.261-282.   DOI   ScienceOn
26 Papadrakakis, M. (1981) Post Buckling Analysis of Spatial Structures by Vector Iteration Methods, Computer & Structure, Vol.14. pp.393-402.   DOI   ScienceOn
27 Ramm, E. (1981) Strategies for tracing thenonlinear response near limit points, in : W. Wunderlich, E. Stein and K.J. Bathe, eds., Nonlinear Finite Element Analysis in Structural Mechanics. Springer, pp.63-89.
28 Riks, E. (1979) An incremental approach to the solution of snapping and buckling problems, International Journal of Solids and Structures, Vol.15, pp.529-551.   DOI   ScienceOn
29 Spiller, W.R. (1990) Geometric stiffness matrix forspace frames, Computers & Structures, Vol. 36(1), pp.29-37.   DOI   ScienceOn
30 Williams, F.W.(1964) An approach to the nonlinear behavior of the members of a rigid jointed plane frames work with finite deflections, J. Mech. Appl. Math. Vol. 17, pp.451-469.   DOI
31 Wood, R.D. and Zienkiewicz, O.C. (1977) Geometrically non-linear finite element analysis of beam, frames, arches and axisymmetric shells, Computers & Structures, Vol.7, pp.725-735.   DOI   ScienceOn
32 Shi, G. and Atluri, S.N. (1988) Elasto-plastic large deformation analysis ofspace-frames: a plastichinge and stress-based explicit derivation of tagent stiffness, Int. J. Num. Meth. Eng. Vol. 26, pp.589-615.   DOI   ScienceOn