Analytical study on free vertical and torsional vibrations of two- and three-pylon suspension bridges via d'Alembert's principle |
Zhang, Wen-ming
(The Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University)
Wang, Zhi-wei (The Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) Zhang, Hao-qing (China Railway Major Bridge Reconnaissance & Design Institute Co., Ltd) Lu, Xiao-fan (The Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) Liu, Zhao (The Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) |
1 | Li, J.Z., Yan, J. and Peng, T.B. (2015), "Shake table studies of seismic structural systems of a Taizhou Changjiang highway bridge model", J. Bridge Eng., 20(3), 04014065. http://dx.doi.org/10.1061/(ASCE)BE.1943-5592.0000650 DOI |
2 | Pizarro, D., Hube, M.A., Valenzuela, M. and Márquez, M. (2015), "Dynamic characteristics of a longitudinally asymmetrical multi-span suspension bridge: the Chacao Bridge", Proceedings of IABSE Conference - Structural Engineering: Providing Solutions to Global Challenges, Geneva, Switzerland, September. http://dx.doi.org/10.2749/222137815818203971 |
3 | Sun, Y., Zhu, H.P. and Xu, D. (2016), "A specific rod model based efficient analysis and design of hanger installation for self-anchored suspension bridges with 3D curved cables", Eng. Struct., 110, 184-208. http://dx.doi.org/10.1016/j.engstruct.2015.11.040 DOI |
4 | Ubertini, F. (2014), "Effects of cables damage on vertical and torsional eigenproperties of suspension bridges", J. Sound Vibr., 333(11), 2404-2421. http://dx.doi.org/10.1016/j.jsv.2014.01.027 DOI |
5 | Wu, C. and Jiang, C. (2016), "Fatigue behavior of hangers on a three-tower suspension bridge", Proceedings of International Conference on Sustainable Energy, Environment and Information Engineering (SEEIE), Bangkok, Thailand, March. http://dx.doi.org/10.12783/dteees/seeie2016/4680 |
6 | Zhang, W.M. and Ge, Y.J. (2014), "Flutter mode transition of a double-main-span suspension bridge in full aeroelastic model testing", J. Bridge Eng., 19(7), 06014004. http://dx.doi.org/10.1061/(ASCE)BE.1943-5592.0000625 DOI |
7 | Zhang, W.M. and Ge, Y.J. (2017), "Wind tunnel investigation on flutter and buffeting of a three-tower suspension bridge", Wind Struct., 24(4), 367-384. http://dx.doi.org/10.12989/was.2017.24.4.367 DOI |
8 | Zhang, W.M., Shi, L.Y., Li, L. and Liu, Z. (2018), "Methods to correct unstrained hanger lengths and cable clamps' installation positions in suspension bridges", Eng. Struct., 171, 202-213. http://dx.doi.org/10.1016/j.engstruct.2018.05.039 DOI |
9 | Abdel-Ghaffar, A.M. (1979), "Free torsional vibrations of suspension bridges", J. Struct. Div., ASCE, 105(4), 767-788. DOI |
10 | Abdel-Ghaffar, A.M. (1980), "Vertical vibration analysis of suspension bridges", J. Struct. Div., ASCE, 106(10), 2053-2075. DOI |
11 | Cao, H.Y., Zhou, Y.L., Chen, Z.J. and Wahab, M.A. (2017), "Form-finding analysis of suspension bridges using an explicit iterative approach", Struct. Eng. Mech., 62(1), 85-95. http://dx.doi.org/10.12989/sem.2017.62.1.085 DOI |
12 | Abdel-Ghaffar, A.M. (1978), "Free lateral vibrations of suspension bridges", J. Struct. Div., ASCE, 104(3), 503-525. DOI |
13 | Abdel-Ghaffar, A.M. and Rubin, L.I. (1983a), "Nonlinear free vibrations of suspension bridges: application", J. Eng. Mech., 109(1), 330-345. DOI |
14 | Abdel-Ghaffar, A.M. and Rubin, L.I. (1983b), "Nonlinear free vibrations of suspension bridges: theory", J. Eng. Mech., 109(1), 313-329. DOI |
15 | Capsoni, A., Ardito, R. and Guerrieri, A. (2017), "Stability of dynamic response of suspension bridges", J. Sound Vibr., 393, 285-307. http://dx.doi.org/10.1016/j.jsv.2017.01.009 DOI |
16 | Cheng, J. and Dong, F.H. (2016), "A simplified method for free vibration analysis of cable-stayed bridges", Int. J. Steel Struct., 16(1), 151-162. http://dx.doi.org/10.1007/s13296-016-3012-1 DOI |
17 | Castellani, A. and Felotti, P. (1986), "Lateral vibration of suspension bridges", J. Struct. Eng., ASCE, 112(9), 2169-2173. http://dx.doi.org/10.1061/(ASCE)0733-9445(1986)112:9(2169) DOI |
18 | Chen, R.F. (2015), Theory of Long-span Suspension Bridges, Southwest Jiaotong University Press, Chengdu, Sichuan, China. (in Chinese) |
19 | Chen, Z.J., Cao, H.Y. and Zhu, H.P. (2013), "An iterative calculation method for suspension bridge's cable system based on exact catenary theory", Baltic J. Road Bridge Eng., 8(3), 196-204. http://dx.doi.org/10.3846/bjrbe.2013.25 DOI |
20 | Gorman, D.J. and Garibaldi, L. (2000), "A highly accurate and efficient analytical approach to bridge deck free vibration analysis", Shock Vibr., 7(6), 399-412. http://dx.doi.org/10.1155/2000/896361 DOI |
21 | Hayashikawa, T. (1997), "Torsional vibration analysis of suspension bridges with gravitational stiffness", J. Sound Vibr., 204(1), 117-129. http://dx.doi.org/10.1006/jsvi.1997.0948 DOI |
22 | Gorman, D.J. and Garibaldi, L. (2006), "Accurate analytical type solutions for free vibration frequencies and mode shapes of multi-span bridge decks: the span-by-span approach", J. Sound Vibr., 290(1-2), 321-336. http://dx.doi.org/10.1016/j.jsv.2005.03.020 DOI |
23 | Grigorjeva, T. and Kamaitis, Z. (2015), "Numerical analysis of the effects of the bending stiffness of the cable and the mass of structural members on free vibrations of suspension bridges", J. Civ. Eng. Manag., 21(7), 948-957. http://dx.doi.org/10.3846/13923730.2015.1055787 DOI |
24 | Gwon, S.G. and Choi, D.H. (2017), "Improved continuum model for free vibration analysis of suspension bridge", J. Eng. Mech., 143(7), 04017038. http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0001244 DOI |
25 | Gwon, S.G. and Choi, D.H. (2018a), "Continuum model for static and dynamic analysis of suspension bridges with a floating girder", J. Bridge Eng., 23(10), 04018079. http://dx.doi.org/10.1061/(ASCE)BE.1943-5592.0001282 DOI |
26 | Gwon, S.G. and Choi, D.H. (2018b), "Static and dynamic analyses of a suspension bridge with three-dimensionally curved main cables using a continuum model", Eng. Struct., 161, 250-264. http://dx.doi.org/10.1016/j.engstruct.2018.01.062 DOI |
27 | Hayashikawa, T. and Watanabe, N. (1984), "Vertical vibration in Timoshenko beam suspension bridges", J. Eng. Mech., 110(3), 341-356. http://dx.doi.org/10.1061/(ASCE)0733-9399(1984)110:3(341) DOI |
28 | Irvine, M. (1974), "Torsional vibrations in boxgirder suspension bridges", Earthq. Eng. Struct. Dyn., 3(2), 203-213. http://dx.doi.org/10.1002/eqe.4290030208 DOI |
29 | Kim, M.Y., Kwon, S.D. and Kim, N.I. (2000), "Analytical and numerical study on free vertical vibration of shear-flexible suspension bridges", J. Sound. Vibr., 238(1), 65-84. http://dx.doi.org/10.1006/jsvi.2000.3079 DOI |