Browse > Article

Use of Super Elements for Efficient Analysis of Flat Plate Structures  

김현수 (성균관대학교 건축공학과)
이승재 (성균관대학교 건축공학과)
이동근 (성균관대학교 건축공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.16, no.4, 2003 , pp. 439-450 More about this Journal
Abstract
Flat plate system has been adopted in many buildings constructed recently because of the advantage of reduced floor heights to meet the economical and architectural demands. Structural engineers commonly use the effective beam width model(EBWM) in practical engineering for the analysis of flat plate structures. However, in many cases, when it is difficult to use the EBWM, it is necessary to use a refined finite element model for an accurate analysis. But it would take significant amount of computational time and memory if the entire building structure was subdivided with finer meshes. An efficient analytical method is proposed in this study to obtain accurate results in significantly reduced computational time. The proposed method employs super elements developed using the matrix condensation technique and fictitious beams are used in the development of super elements to enforce the compatibility at the interfaces of super elements. The stiffness degradation of flat plate system considered in the EBWM was taken into account by reducing the elastic modulus of floor slabs in this study. Static and dynamic analyses of example structures were performed and the efficiency and accuracy of the proposed method were verified by comparing the results with those of the refined finite element model and the EBWM.
Keywords
Flat plate structure; stiffness of slab; stiffness degradation; matrix condensation; super element; fictitious sfiff beam;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Hsu, C. S., Kuo, C. T., and Lee, S. S., 'On the final states of shallow arches on elastic foundations subjected to dynamical loads', J. Appl. Mech., Vol.35, No.4, pp.713-723, 1968
2 Hegemier, G. A., and Tzung, F., 'Influence of damping on the snapping of a shallow arch under a step pressure load', AIAA J., Vol.7, No.8, pp.1494-1499, 1969   DOI
3 Johnson, E. R., 'The effect of damping on dynamic snap-through', J. Appl. Mech., ASME, Vol.47, No.3, September, pp.601-606, 1980
4 김승덕, 박지윤, 권택진, '얕은 정현형 아치의 불안정 거동에 관한 연구(2):스텝하중에서의 동적좌굴 특성', 전산구조공학 논문집, 제12권 3호, pp.417-426, 1999.9
5 Fulton, R. E., and Barton, F. W., 'Dynamic buckling of shallow arches', J. Eng. Mech. Div., ASCE, Vol.97, No.EM3, June, pp.865-877, 1971
6 Hoff, N. J., and Bruce, V. G., 'Dynamic analysis of the buckling of laterally loaded flat arches', Q. Math. Phys., Vol.32, No.4, pp.276-288, 1954
7 金勝德, 扁平構造物の動的安定に關する硏究, 東京大學博士學位論文, 1990
8 Hsu, C. S., 'Equilibrium configurations of a shallow arch of arbitrary shape and their dynamic stability character', Int. J. Nonlinear Mech., No.3, June, pp.113-136, 1968
9 김승덕, 박지윤, 권택진, '얕은 정현형 아치의 불안정 거동에 관한 연구(1):형상특성에 따른 정적좌굴의 분류', 전산구조공학 논문집, 제12권 3호, pp.407～415, 1999.9
10 Lock, M. H., 'Snapping of a shallow sinusoidal arch under a step pressure load', AIAA J., Vol.4, No.7, July, pp.1249-1256, 1966   DOI
11 Kim,S.D., Kim,H.S. and Kang,M.M., 'A Study of the Nonlinear Dynamic Instability of Hybrid Cable Dome Structures', Structural Engineering and Mechanics, Vol.15, No.6, pp.653～668, 2003.6
12 Hsu, C. S., 'Stability of shallow arches against snap-through under timewise step loads', J. Appl. Mech., Vol.35, No.1, pp.31-69, 1968
13 Huang, N. C., and Nachbar, W., 'Dynamic snap-through of imperfect viscoelastic shallow arches', J. Appl. Mech., ASME, June, pp.289-296, 1968
14 Donaldson, M. T., and Plaut, R. H., 'Dynamic stability boundaries for a sinusoidal shallow arch under pulse loads', AIAA J., Vol.21, No.3, March, pp.469-471, 1983   DOI
15 Kim, Seung-Deog, et al., 'Dynamic Instability of Shell-Like Shallow Trusses Considering Damping', Computers & Structures, Vol.64, No. 1-4, 1997, pp.481-489   DOI   ScienceOn
16 김승덕, '반강접합 프레임형 대공간 구조물의 비선형 불안정 해석에 관한 연구,' 대한건축학회 논문집, 구조계, 제 18권 3호, pp.55-62, 2002.3
17 Hsu, C. S., 'The effects of various parameters on the dynamic stability of a shallow arch', J. Appl. Mech., Vol.34, No.2, pp.349-358, 1967
18 Gregory, W. E. Jr., and Plaut, R. H., 'Dynamic stability boundaries for shallow arches', J. Eng. Mech. Div., ASCE, Vol.108, No.EM6, December, pp.1036-1050, 1982
19 Sundararajan, V., and Kumani, D. S., 'Dynamic snap-buckling of shallow arches under inclined loads', AIAA J., Vol.10, No.8, August, pp.1090-1091, 1972   DOI
20 김승덕, '얕은 타원포물곡면쉘의 동적 불안정 현상의 규명을 위한 비선형 동적 응답의 스펙트럼 분석', 전산구조공학 논문집, 제8권 2호, pp.153-161, 1995
21 Huang, K. Y., and Plaut, R. H., 'Snap- through of a shallow arch under pulsating load', Stability in the Mechanics of Continua(edited by F. H. Schroeder), pp.215-223, Springer- Verlag, Berlin, 1982
22 Ariaratnam, S. T., and Sankar, T. S., 'Dynamic snap-through of shallow arches under stochastic loads-' AIAA J., Vol.6, No.5, May, pp.798-802, 1968   DOI
23 김승덕, '기하학적 비선형을 고려한 얕은 타원포물곡면쉘의 동적 불안정 현상', 대한건축학회 논문집, 제 10권 6호, pp.121-132, 1994
24 Lo, D. L. C., and Masur, E. F., 'Dynamic buckling of shallow arches', J. Eng. Mech. Div., ASCE, Vol.102, No.EM5, October, pp.901-917, 1976