Journal of the Korean Society of Hazard Mitigation (한국방재학회 논문집)

Korean Society of Hazard Mitigation (한국방재학회)
권호 표지

Elastic Stability of Thin-Walled Arches subjected to Uniform Bending - Linear Bending Normal Strain Distribution -

  • Published : 2009.04.30
Download PDF
⟨ Previous Next ⟩

Abstract

This paper is concerned with the elastic buckling of thin-walled arches that are subjected to uniform bending. Nonlinear strain-displacement relations with the initial curvature are substituted into the second variation of the total potential energy to obtain the energy equation including initial curvature effects. The approximation for initial curvature effects that the bending normal strain distribution is linear across the cross section is applied consistently in the derivation process. The closed form solution is obtained for flexural-torsional buckling of arches under uniform bending and, it is compared with the previous theoretical results.

본 논문에서는 균일 모멘트 하중을 받는 박판 아치의 탄성 좌굴에 관한 연구를 수행하였다. 초기 곡률을 고려한 비선형 변형률-변위 관계식을 전체 포텐셜 에너지 방정식의 이차 변분에 대입하여 초기 곡률 효과를 포함하는 에너지 방정식을 유도하였다. 휨 모멘트에 의한 단면 내 법선 변형률이 선형으로 분포한다는 초기 곡률 효과에 대한 가정사항을 유도과정에 일관되게 적용하였다. 균일 모멘트 하중을 받는 아치의 휨-비틀림 좌굴하중에 관한 제차해를 제시하고 타 연구자의 결과와 비교하였다.

Keywords

References

  1. Kang, Y.J., and Yoo, C.H. (1994a) Thin-Walled Curved Beams I: Formulation of Nonlinear Equations. J. Eng. Mech., ASCE, Vol. 120, No. 10, pp. 2072-2101 https://doi.org/10.1061/(ASCE)0733-9399(1994)120:10(2072)
  2. Kang, Y.J., and Yoo, C.H. (1994b) Thin-Walled Curved Beams II: Analytical Solutions for Buckling of Arches. J. Eng. Mech., ASCE, Vol. 120, No. 10, pp. 2102-2125 https://doi.org/10.1061/(ASCE)0733-9399(1994)120:10(2102)
  3. Lim, N.H., and Kang, Y.J. (2004) Out of Plane Stability of Circular arches. Int. J. Mech. Sci., Vol. 46, No. 8, pp. 1115-1137 https://doi.org/10.1016/j.ijmecsci.2004.08.008
  4. Oden, J.Y. (1967) Mechanics of Elastic Structures, McGrow-Hill, Inc. USA
  5. Papangelis, J.P., and Trahair, N.S. (1987) Flexural-Torsional Buckling of Arches. J. Struct. Eng., ASCE, Vol. 113, No. 4, pp. 889-906 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:4(889)
  6. Pi, Y-L., Papangelis, J.P. and Trahair, N.S. (1995) Prebuckling deformations and flexural-torsional buckling of arches. J. Struct. Eng., ASCE, Vol. 121, No. 9, pp. 1313-1322 https://doi.org/10.1061/(ASCE)0733-9445(1995)121:9(1313)
  7. Usami, T., and Koh, S.Y. (1980) Large Displacement Theory of Thin-Walled Curved Members and Its Application to Lateral-Torsional Buckling Analysis of Circular Arches. J. Solids Struct., Vol. 16. pp. 71-95 https://doi.org/10.1016/0020-7683(80)90096-7
  8. Vlasov, V.Z. (1961) Thin-Walled Elastic Beams, Second edition. Israel Program for Scientific Translation, Jerusalem
  9. Yang, Y-B., and Kuo, S-R. (1986) Static Stability of Curved Thin-Walled Beams. J. Eng. Mech., ASCE, Vol. 12, No. 8, pp. 821-841 https://doi.org/10.1061/(ASCE)0733-9399(1986)112:8(821)
  10. Yoo, C.H. (1982) Flexural-Torsional Stability of Curved Beams. J. Eng. Mech. Div., ASCE, Vol. 108, No. 6, pp. 1351-1369