Browse > Article

Approximate Solution for In-Plane Elastic Buckling of Shallow Parabolic Arches  

Moon, Ji Ho (고려대학교 사회환경시스템공학과)
Yoon, Ki Yong (선문대학교 토목공학과 교수)
Yi, Jong Won (고려대학교 공학기술연구소)
Lee, Hak Eun (고려대학교 사회환경시스템공하고가)
Publication Information
Journal of Korean Society of Steel Construction / v.18, no.4, 2006 , pp. 427-436 More about this Journal
Abstract
The classical buckling theory assumes that prebuckling behavior is linear and that the effect of prebuckling deformations on buckling can be ignored. However, when the rise to span ratio decreases, prebuckling deformation cannot be ignored and the symetrical buckling strength can be smaler than the asymetrical buckling strength. Finally, arches can fail due to snap-through buckling. This paper investigates the non-linear behavior and strength of pin-ended parabolic shallow arches using the non-linear governing differential equation of shallow arches. These results were compared with the solution for the symmetrical buckling load of pin-ended parabolic shallow arches was suggested.
Keywords
Shalow arches; Buckling; Nonlinear analysis; Numerical method; Aproximate solution;
Citations & Related Records
연도 인용수 순위
  • Reference
1 김승덕(1997), 대공간 구조물의 비선형 해석 기법, 한국전산구조공학회 학회지, 제 10권 1호, pp. 7-18
2 문지호, 윤기용, 김성훈, 이학은(2005), 압축력을 받는 포물선 아치 리브의 좌굴 강도, 대한토목학회정기학술대회 논문집, pp. 2188-2191
3 염응준, 한택희, 임남형, 강영종(2004), 초기 하중을 고려한 박 판 아치의 횡 자유진동, 대한토목학회 논문집, 제 24권 2호, pp. 353-358
4 Austin, W. J. (1976), Elastic buckling of arches under symmetrical loading, Journal of the Structural Division, ASCE, Vol. 102, No. ST5, pp. 1085-1095
5 Plaut, R. H.(1978), Stability of shallow arches under multiple loads, Joural of the Engineering Mechanics Division, ASCE, Vol. 104, No. EM5, pp. 1015-1026
6 Timosheko, S., and Gere, J. M. (1961) Theory of elastic stability, 2nd edition, McGraw-Hill, New York
7 김연태, 허택녕, 김문겸, 황학주(1992), 비선형 운동해석에 의한 낮은 아치의 동적 임계좌굴하중의 결정, 대한토목학회 논문집, 제 12권 2호, pp. 43-54
8 박광규, 김문겸, 황학주(1986), 낮은 포물선 아치의 동적영역에 관한 연구, 대한토목학회 논문집, 제 6권 3호, pp. 1-9
9 Eurocode(2003), Design of steel structures, European committee for standardisation
10 Pi, Y.-L. and Trahair, N. S.(1999), In-plane buckling and design of steelarches, Joural of the structural Engineering, ASCE, Vol. 125, No. 11, pp. 1291-1298   DOI
11 ABAQUS Standard user's manual version 6.2 (2001), Hibbit, Karsson and Sorensen Inc.
12 임남형, 박남회, 강영종(2003), 연속적으로 브레이스된 아치의 탄성 좌굴, 대한토목학회 논문집, 제 23권 3호, pp. 521-526
13 Pi, Y.-L., M. A. Bradford and B. Uy(2002). In-plane stability of arches. Int J Solids Struct, Vol. 39, No. 2, pp. 105-125   DOI   ScienceOn
14 문지호, 윤기용, 김성훈, 이학은(2005), 대칭하중을 받는 포물선 아치 리브의 탄성 면내 좌굴 강도, 한국강구조학회 논문집, 제 17권 2호, pp. 161-171
15 Bradford. M. A., B. Uy. and Pi, Y.-L. (2002), In-plane elastic stability of arches under central concentrated load, Joural of Engineering Mechanics, ASCE, Vol. 128, No. 7, pp. 710-719   DOI   ScienceOn
16 Harrison, H. B. (1982), In-plane stability of parabolic arches, Journal of the Structural Division, ASCE, Vol. 108, No. ST1, pp. 195-205
17 Austin, W. J. (1971), In-plane bending and buckling of arches, Journal of the Structural Division, ASCE, Vol. 97, No. ST5, pp. 1575-1592
18 Gregory, W. E. and Plaut, R. H.(1982), Dynamic stability boundaries for shallow arches, Joural of the Engineering Mechanics Division, ASCE, Vol. 108, No. EM6, pp. 1036-1050
19 Pi, Y.-L. and Trahair, N. S.(1998), Non-linear buckling and post buckling of elastic arches, Eng. Struct., Vol. 20 No. 7 pp. 571-579   DOI   ScienceOn
20 김승덕, 권태진, 박지윤(1998), 얕은 정현형 아치의 분기 좌굴에 관한 연구, 한국전산구조공학회 학술발표회 논문집, pp. 457-464