References
- Capuani, D., Savoia M. and Laudiero, F. (1992), "A generalization of the Timoshenko beam model for coupled vibration analysis of thin walled beams", Earthquake Engineering and Structural Dynamics, 21, 859-879. https://doi.org/10.1002/eqe.4290211003
- Chaudhuri, S.K. and Shore, S. (1977a), "Dynamics analysis of horizontally curved I-girder bridges", Journal of the Structural Division, ASCE, 103, 1589-1604.
- Chaudhuri, S.K. and Shore, S. (1977b), "Thin-walled curved beam finite element", Journal of the Structural Division, ASCE, 103, 921-937.
- Chidamparam P. and Leissa A.W. (1993), "Vibrations of planar curved beams, rings and arches", Applied Mechanics Reviews 46(9), 467-483. https://doi.org/10.1115/1.3120374
- Christiano, P.P. and Culver, C.G. (1969), "Horizontally curved bridges subjected to moving load", Journal of the Structural Division, ASCE, 95, 6713-6743.
- Cortinez, V.H. and Rossi, R.E. (1996), "Consideracion del efecto de corte en la dinamica de vigas abiertas de pared delgada", Mecanica Computacional, XVI(I), 453-462 (in spanish).
- Cortinez, V.H., Piovan, M.T. and Gutierrez, R.H. (1997), "Analytical solution for the out of plane vibrations of shear deformable thin-walled curved beams with pinned ends", Internal Report, Mechanical Systems Analysis Group, Universidad Tecnologica Nacional (FRBB), Bahia Blanca, Argentina.
- Cortinez, V.H. and Rossi, R.E. (1998), "Dynamics of shear deformable thin walled open beams subjected to initial stresses", Revista Internacional de Metodos Numericos para Calculo y Disenoen Ingenierfa, 14(3), 293-316 (in Spanish).
- Culver, C.G. (1967), "Natural frequencies of horizontally curved beams", Journal of the Structural Division, ASCE, 93, 189-203.
- EI-Amin, F. M. and Brotton, D. M. (1976), "Horizontally curved beam finite element including warping", Int. J. for Numerical Methods in Engineering, 10, 1397-1403. https://doi.org/10.1002/nme.1620100618
- Fu, C.C. and Hsu, Y.T. (1995), "The development of an improved curvilinear thin-walled Vlasov element", Computers and Structures, 54, 147-159. https://doi.org/10.1016/0045-7949(94)P4141-Y
- Gendy, A.S. and Saleeb, A.F. (1994), "Vibration of coupled extensional/flexural/torsional modes of curved beams with arbitrary thin-walled sections", Journal of Sound and Vibration, 174(2), 261- 274. https://doi.org/10.1006/jsvi.1994.1275
- Heins, C.P. and Sahin, M.A. (1979), "Natural frequency of curved box girder bridges", Journal of the Structural Division, ASCE, 105, 2591-2600.
- Kang, K., Bert C.W. and Striz, AG. (1996), "Vibration of horizontally curved beams with warping using DQM", Journal of Structural Engineering, ASCE, 122, 657-662. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:6(657)
- Kawakami, M., Sakiyama, T., Matsuda, H. and Morita, C. (1995), "In-plane and out-of-plane vibrations of curved beams with variable sections", Journal of Sound and Vibration, 187(3), 381- 401. https://doi.org/10.1006/jsvi.1995.0531
- Krenk, S. and Gunneskov, O. (1981), "Statics of thin-walled pretwisted beams", International Journal for Numerical Methods in Engineering, 17, 1407-1426. https://doi.org/10.1002/nme.1620170909
- McManus, P.F., Nasir, G.A. and Culver, C.G. (1969), "Horizontally curved girders-state of the art", Journal of the Structural Division, ASCE, 95, 853-870.
- Shore, S. and Chaudhuri, S. (1972), "Free vibration of horizontally curved beams", Journal of the Structural Division, ASCE, 98, 793-796.
- Snyder, J.M. and Wilson, J.F. (1992), "Free vibrations of continuous horizontally curved beams", Journal of Sound and Vibration, 157(2), 345-355. https://doi.org/10.1016/0022-460X(92)90686-R
- Tan, C.P. and Shore, S. (1968a), "Dynamic response of a horizontally curved bridge", Journal of the Structural Division, ASCE, 94, 761-781.
- Tan, C.P. and Shore, S. (1968b), "Response of a horizontally curved to moving load", Journal of Structural Division, ASCE, 94, 2135-2152.
- Task Committee on Curved Box Girders (1978), "Curved steel box-girder bridges: state of the art", Journal of the Structural Division, ASCE, 104, 1719-1739.
- Vlasov, V.Z. (1961), Thin-Walled Elastic Beams, 2nd Ed., National Science Foundation, Washington, D.C.
- Yang, Y.B. and Kuo, S.R. (1986), "Static stability of curved thin-walled beams", Journal of Engineering Mechanics, ASCE, 112, 821-841. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:8(821)
- Yoo, C.H. and Feherenbach, J.P. (1981), "Natural frequencies of curved girders", Journal of the Engineering Mechanics Division, ASCE, 107, 339-354.
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