References
- 이병구, 김석기, 이태은, 김권식(2009) 후좌굴 변단면 기둥의 기하 비선형 해석. 대한토목학회논문집, 대한토목학회, 제29권, 제1A호, pp. 53-60.
- 이병구, 오상진, 이태은, 김권식(2008) Elastica형 아치의 자유진동, 대한토목학회논문집, 대한토목학회, 제28권, 제6A호, pp.827-833.
- BeGole, B.E. (1981) A computer program of dental arch from using catenary curve. Computer Program in Biomedicine, Vol. 13, No. 1-2, pp. 93-99. https://doi.org/10.1016/0010-468X(81)90087-8
- Borg, S.F. and Gennaro, J.J. (1959) Advanced structural analysis, Van Nostrand, NJ, USA.
- Falzon, B.G. and Aliabadi M.H. (2008) Buckling and post-buckling structures. Imperial College Press, UK.
- Lee, B.K., Carr, A.J., Lee, T.E., and Ahn, D.S. (2005) Elasticas and buckling loads of shear deformable tapered columns. International Journal of Structural Stability and Dynamics, Vol. 5, No.3, pp. 317-335. https://doi.org/10.1142/S0219455405001684
- Lee, B.K., Oh, S.J., Li, G., and Choi, K.M. (2003) Free vibration analysis of parabolic arches in Cartesian Coordinates. International Journal of Structural Stability and Dynamics, Vol. 3, No. 3, pp. 377-390. https://doi.org/10.1142/S021945540300094X
- Lee, B.K. and Wilson, J.F. (1990) Free vibrations of arches with variable curvature. Journal of Sound and Vibration, Vol. 136, No. 1, pp. 75-89. https://doi.org/10.1016/0022-460X(90)90939-W
- Leontovich, V. (1984) Frames and arches. McGraw-Hill Book Co.,USA.
- Moon, J.H., Yoon, K.Y., Lee, T.H., and Lee, H.E. (2007) In-plane elastic buckling of pin-ended shallow parabolic arches. Engineering Structures, Vol. 29, No. 10, pp. 2611-2617. https://doi.org/10.1016/j.engstruct.2007.01.004
- Nieh, K.Y., Huang, C.S., and Tseng, Y.P. (2003) An analytical solution for in-plane free vibration and stability of loaded elliptic arches. Computer & Structures, Vol. 81, No. 13, pp. 1311-1327. https://doi.org/10.1016/S0045-7949(03)00057-9
- Perkins, N.C. (1990) Planar vibration of an elastica arch. Journal of applied mechanics, ASME, Vol. 112, pp. 374-379.
- Tufekci, E. and Ozdemirci, O. (2006) Exact solution of free inplane vibration of a stepped circular arch. Journal of Sound and Vibration, Vol. 295, pp. 725-738. https://doi.org/10.1016/j.jsv.2006.01.048