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Parametric analysis of the nonlinear primary resonance of spatial cable suspension bridges
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1School of Civil Engineering, Chongqing University, Chongqing 400030, China;
2School of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, China
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Received |
Revised |
Published |
03 Nov 2023 |
15 Mar 2024 |
01 Jun 2024 |
Issue Date |
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09 Jul 2024 |
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References
[1] Dallard P, Fitzpatrick T, Flint A, et al.London millennium bridge: Pedestrian-induced lateral vibration[J].Journal of Bridge Engineering, 2001, 6(6): 412-417. DOI: 10.1061/(asce)1084-0702(2001)6: 6(412).
[2] Lang T Y, Wang H, Jia H Z, et al.Vortex-induced vibration performance and wind pressure distribution of main girder of long-span suspension bridge affected by temporary facilities[J]. Journal of Southeast University(Natural Science Edition), 2022, 52(5): 833-840. DOI:10.3969/j.issn.1001-0505.2022.05.002. (in Chinese)
[3] Tao T Y, Gao W J, Jiang Z X, et al.Analysis on wind-induced vibration and its influential factors of long suspenders in the wake of bridge tower[J].Journal of Southeast University(Natural Science Edition), 2023, 53(6): 1065-1071. DOI:10.3969/j.issn.1001-0505.2023.06.013. (in Chinese)
[4] Li Y, Yang X P, Chen Y M.Dynamic behavior analysis method for vehicle-bridge system considering abrupt cable-breakage events[J].Journal of Southeast University(Natural Science Edition), 2023, 53(6): 1156-1164. DOI:10.3969/j.issn.1001-0505.2023.06.023. (in Chinese)
[5] Abdel-Ghaffar A M, Rubin L I. Nonlinear free vibrations of suspension bridges: Theory[J].Journal of Engineering Mechanics, 1983, 109(1): 313-329. DOI: 10.1061/(asce)0733-9399(1983)109: 1(313).
[6] Abdel-Ghaffar A M, Rubin L I. Nonlinear free vibrations of suspension bridges: Application[J].Journal of Engineering Mechanics, 1983, 109(1): 330-345. DOI: 10.1061/(asce)0733-9399(1983)109: 1(330).
[7] Çevik M, Pakdemirli M.Non-linear vibrations of suspension bridges with external excitation[J].International Journal of Non-linear Mechanics, 2005, 40(6): 901-923. DOI: 10.1016/j.ijnonlinmec.2004.11.002.
[8] Lazer A C, McKenna P J. Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis[J].SIAM Review, 1990, 32(4): 537-578. DOI: 10.1137/1032120.
[9] Ardito R, Capsoni A, Guerrieri A.Internal parametric resonance and aeroelastic effects for long-span suspension bridges[C]//Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering(COMPDYN 2015). Crete Island, Greece, 2015: 4508-4527.
[10] Capsoni A, Ardito R, Guerrieri A.Stability of dynamic response of suspension bridges[J].Journal of Sound and Vibration, 2017, 393: 285-307. DOI: 10.1016/j.jsv.2017.01.009.
[11] Lepidi M, Gattulli V.Non-linear interactions in the flexible multi-body dynamics of cable-supported bridge cross-sections[J].International Journal of Non-linear Mechanics, 2016, 80: 14-28. DOI: 10.1016/j.ijnonlinmec.2015.09.009.
[12] Peng J, Xiang M J, Wang L H, et al.Nonlinear primary resonance in vibration control of cable-stayed beam with time delay feedback[J].Mechanical Systems and Signal Processing, 2020, 137: 106488. DOI: 10.1016/j.ymssp.2019.106488.
[13] Zhang H Y, Chen Z Q, Hua X G, et al.Design and dynamic characterization of a large-scale eddy current damper with enhanced performance for vibration control[J].Mechanical Systems and Signal Processing, 2020, 145: 106879. DOI: 10.1016/j.ymssp.2020.106879.
[14] Hui Y, Kang H J, Law S S, et al.Modeling and nonlinear dynamic analysis of cable-supported bridge with inclined main cables[J].Engineering Structures, 2018, 156: 351-362. DOI: 10.1016/j.engstruct.2017.11.040.
[15] Hui Y, Xia C, Li K, et al.Modal characteristic and nonlinear dynamic response of suspension bridge with lateral asymmetric stiffness[J].International Journal of Structural Stability and Dynamics, 2023, 23(10): 2350110. DOI: 10.1142/s0219455423501109.
[16] Xu L, Hui Y, Yang Q S, et al.Modeling and modal analysis of suspension bridge based on continual formula method[J].Mechanical Systems and Signal Processing, 2022, 162: 107855. DOI: 10.1016/j.ymssp.2021.107855.
[17] Xu L, Hui Y, Zhu W D, et al.Three-to-one internal resonance analysis for a suspension bridge with spatial cable through a continuum model[J].European Journal of Mechanics—A, 2021, 90: 104354. DOI: 10.1016/j.euromechsol.2021.104354.
[18] Hui Y, Xu L, Jiang Y.Nonlinear torsional primary resonance analysis of suspension bridge with generalized configuration using mathematical model[J].Engineering Structures, 2022, 255: 113935. DOI: 10.1016/j.engstruct.2022.113935.
[19] Xu L, Hui Y, Liu G, et al.Internal resonance of generalized suspension bridge model considering torsional-vertical vibration[J].Structures, 2023, 47: 1754-1776. DOI: 10.1016/j.istruc.2022.11.131.
[20] Cao L L, Lü Y B, Cao D, et al.Influence analysis of pedestrian dynamic parameters on human-induced vibration of long span simply supported footbridge[J]. Journal of Southeast University(Natural Science Edition), 2020, 50(2): 260-266. DOI:10.3969/j.issn.1001-0505.2020.02.008. (in Chinese)
[21] Rega G, Lacarbonara W, Nayfeh A H, et al.Multiple resonances in suspended cables: Direct versus reduced-order models[J].International Journal of Non-linear Mechanics, 1999, 34(5): 901-924. DOI: 10.1016/s0020-7462(98)00065-1.
[22] Nayfeh A H, Mook D T.Nonlinear oscillations[M]. Weinheim, German: John Wiley & Sons, 2008: 127-128.
[23] Cheng P, Kang H J.Modeling and analysis of 1∶3 internal resonance of suspension bridge under boundary excitations[J]. International Journal of Structural Stability and Dynamics, 2024: 2550005. DOI: 10.1142/s0219455425500051.
[24] Nayfeh A H, Balachandran B.Applied nonlinear dynamics: Analytical, computational, and experimental methods[M]. New York: Wiley, 1995: 432-434.
[25] Xu L, Hui Y, Li K.Non-linear dynamic analysis on a continuum suspension bridge model with spatial layout of main cables[J].International Journal of Structural Stability and Dynamics, 2022, 22(7): 2250041. DOI: 10.1142/s0219455422500419.
[26] Lacarbonara W, Paolone A, Vestroni F.Non-linear modal properties of non-shallow cables[J].International Journal of Non-linear Mechanics, 2007, 42(3): 542-554. DOI: 10.1016/j.ijnonlinmec.2007.02.013.