참고문헌
- Lee, B. K. and Wilson, J. F., 1989. 'Free Vibrations of Arches with Variable Curvature.' journal of Sound and Vibration, Vol. 136, No. 1, op. 75-89 https://doi.org/10.1016/0022-460X(90)90939-W
- Romanelli, E. and Laura. P. A. A., 1972, Fundamental Frequency of Non-drcular, Elastic, Hinged Arcs.' Journal of Sound and Vibration. Vol. 24, No. 1. pp. 17-22 https://doi.org/10.1016/0022-460X(72)90118-6
- Wang, T. M.. 1972, 'Lowest Natural Frequency of damped Parabolic Arcs.' Journal of the Structural Division, ASCE, Vol. 98, No. STl, pp. 407-411
- Wang. T. M. and Moore, J. A., 1973. 'Lowest Natural Extensional Frequency of Clamped Elliptic Arcs.' Journal of Sound and Vibration. Vol. 30, No. 1, pp. 1-7 https://doi.org/10.1016/S0022-460X(73)80046-X
- Wolf, Jr. J.A., 1971, 'Natural Frequencies of Circular Arches' Journal of the Structural Division, ASCE. Vol. 97. No. ST9, pp. 2337-2350
- Veletsos. A. S., Austin, A. J., Pereira, C. A. L. and Wung, S. J., 1972. 'Free In-plane Vibrations of Circular Arches.' Journal of Engineering Mechanics Division, ASCE. Vol. 93, pp. 311-329
- Kang. K. and Bert, C. W., 1995, 'Vibration Analyses of Shear Deformable Circular Arches by the Differential Quadrature Method.' Journal of Sound and Vibration, Vol. 181, pp. 353-360
- 이병구, 이용수, 오상진, 2002, '변단면 변화곡 률 캔틸레버 아치의 자유진동' 한국소음진동공학회논문집, 제 10권, 제 2호, pp. 353-360
- Oh, S. J.. Lee. B. K. and Lee. I. W., 2000, 'Free Vibrations of Non-circular Arches with Non-uniform Cross-section.' International Journal of Solids and Structures, Vol. 37, No. 36. pp. 4871-4891 https://doi.org/10.1016/S0020-7683(99)00194-8
- Irie, T. and Yamada, G. and Tanaka, K., 1983, 'Natural Frequencies of In-plane Vibration of Arcs.' Journal of Applied Mechanics, ASME. Vol. 50, pp. 449-4527 https://doi.org/10.1115/1.3167058
- Davis, R., Henshell, R.D. and Warburton, G. B., 1972, 'Constant Curvature Beam Finite Elements for In-plane Vibration.' Journal of Sound and Vibration, Vol. 25, No. 4, pp. 561-576 https://doi.org/10.1016/0022-460X(72)90478-6
- Wilson, J. F. and Lee, B. K., 1995, 'In-plane Free Vibrations of Catenary Arches with Unsymmetric Axis.' Structural Engineering and Mechanics, An International Journal, Vol. 3. No. 5,pp. 511-525
- Borg and Gennaro, 1957, Advanced Structural Analysis. McGrow-Hill Book Company
- Lee. B. K.. Oh. S. J. and Park. K. K., 2002, 'Free Vibrations of Shear Deformable Circular Curved Beams Resting on an Elastic Foundation' International Journal of Structural Stability and Dynamics. Vol. 2, No. 1. pp. 77-97 https://doi.org/10.1142/S0219455402000440
- Al-Khafaji. A. W. and Tooley, J. R., 1986. Numerical Method in Engineering Practice, Holt, Reinhardt and Winston, Inc
- Oh, S. J., 1996. Free Vibrations of Arches with Vahable Cross-section, Ph. D. Thesis, Wonkwang University