Abstract
The multi-tower suspension bridge (MTSB), which is a considerable choice for the cross-river and even cross-sea bridges, has attracted intensive attentions by researchers in recent years. However, the static and dynamic performance of the MTSB becomes more complicated due to its super long spans and the multiple middle towers. The wind-induced vibration becomes the critical issue when constructs the MTSBs due to their low rigidity. In this work, a finite element model (FEM) of a MTSB with four towers and three spans is presented. Several major parameters such as the stiffness of the main girder and the middle towers, the sag-to-span ratios, the self-excited forces, and the spectral model of turbulence are selected to investigate their effects on buffeting performance of the MTSB. Results show that the rigid main girder can decrease the buffeting displacements in lateral and torsional directions, while the vertical buffeting displacement significantly decreases with the increasing stiffness of middle towers. In addition, the buffeting displacements of the main girder increase with the decreasing sag-to-span ratio. Besides, it can be concluded that the self-excited forces should be considered and the turbulent power spectrum should be carefully chosen in analyzing buffeting responses of the MTSB.
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References
Aas-Jakobsen K, Strømmen E (2001) Time domain buffeting response calculations of slender structures. Journal of Wind Engineering and Industrial Aerodynamics 89(5):341–364, DOI: https://doi.org/10.1016/S0167-6105(00)00070-2
Cai CS, Bosch HR (1999) Flutter and buffeting analysis. I: Finite-element and RPE solution. Journal of Bridge Engineering 4(3):174–180, DOI: https://doi.org/10.1061/(ASCE)1084-0702(1999)4:3(174)
Caracoglia L (2008) Influence of uncertainty in selected aerodynamic and structural parameters on the buffeting response of long-span bridges. Journal of Wind Engineering and Industrial Aerodynamics 96(3):327–344, DOI: https://doi.org/10.1016/j.jweia.2007.08.001
Caracoglia L, Jones NP (2003) Time domain vs. frequency domain characterization of aeroelastic forces for bridge deck sections. Journal of Wind Engineering and Industrial Aerodynamics 91(3): 371–402, DOI: https://doi.org/10.1016/S0167-6105(02)00399-9
Chen X, Kareem A (2001) Nonlinear response analysis of long-span bridges under turbulent winds. Journal of Wind Engineering and Industrial Aerodynamics 89(14–15):1335–1350, DOI: https://doi.org/10.1016/S0167-6105(01)00147-7
Chen X, Kareem A (2002) Advances in modeling of aerodynamic forces on bridge decks. Journal of Engineering Mechanics 128(11): 1193–1205, DOI: https://doi.org/10.1061/(ASCE)0733-9399(2002)128:11(1193)
Chen X, Matsumoto M, Kareem A (2000) Time domain flutter and buffeting response analysis of bridges. Journal of Engineering Mechanics 126(1):7–16, DOI: https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(7)
Choi DH, Gwon SG, Yoo H, Na HS (2013) Nonlinear static analysis of continuous multi-span suspension bridges. International Journal of Steel Structures 13(1):103–115, DOI: https://doi.org/10.1007/s13296-013-1010-0
Clemente P, Nicolosi G, Raithel A (2000) Preliminary design of very long-span suspension bridges. Engineering Structures 22(12):1699–1706, DOI: https://doi.org/10.1016/S0141-0296(99)00112-1
Davenport AG (1962) Buffeting of a suspension bridge by storm winds. Journal of the Structural Division 88(3):233–270, DOI: https://doi.org/10.1016/S0141-0296(99)00112-1
Deng YL, Peng TB, Li JZ, Ji L, Feng, ZX, Ruan J (2008) Study on dynamic characteristic and aseismic performance of a long-span triple-tower suspension bridge. Journal of Vibration and Shock 27(9):105–110 (in Chinese)
Deodatis G (1996) Simulation of ergodic multivariate stochastic processes. Journal of Engineering Mechanics 122(8):778–787, DOI: https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(778)
Ding Q, Zhu L, Xiang H (2011) An efficient ergodic simulation of multivariate stochastic processes with spectral representation. Probabilistic Engineering Mechanics 26(2):350–356, DOI: https://doi.org/10.1016/j.probengmech.2010.09.006
Fenerci A, Øiseth O (2017) Measured buffeting response of a long-span suspension bridge compared with numerical predictions based on design wind spectra. Journal of Structural Engineering 143(9): 04017131, DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0001873
Fukuda T (1967) Analysis of multispan suspension bridges. Journal of the Structural Division 93(3):63–86
Ge YJ, Xiang HF (2011) Extension of bridging capacity of cable-supported bridges using double main spans or twin parallel decks solutions. Structure and Infrastructure Engineering 7:551–567, DOI: https://doi.org/10.1080/15732479.2010.496980
Hu L, Xu YL, Zhu Q, Guo A, Kareem A (2017) Tropical storm-induced buffeting response of long-span bridges: Enhanced nonstationary buffeting force model. Journal of Structural Engineering 143(6): 04017027, DOI: https://doi.org/10.1061/(ASCE)ST.1943-541X.0001745
Hua XG, Chen ZQ (2008) Full-order and multimode flutter analysis using ANSYS. Finite Elements in Analysis and Design 44(9):537–551, DOI: https://doi.org/10.1016/j.finel.2008.01.011
Kaimal JC, Wyngaard JCJ, Izumi Y, Coté OR (1972) Spectral characteristics of surface-layer turbulence. Quarterly Journal of the Royal Meteorological Society 98(417):563–589, DOI: https://doi.org/10.1002/qj.49709841707
Kareem A, Tamura Y (2013) Advanced structural wind engineering. Springer, New York, NY, USA
Law SS, Bu JQ, Zhu XQ, Chan SL (2006) Wind characteristics of Typhoon Dujuan as measured at a 50 m guyed mast. Wind and Structures 9(5):387–396, DOI: https://doi.org/10.12989/was.2006.9.5.387
Lee SY, Yhim SS (2011) Wind-induced vibration of long-span cable-stayed bridges during construction considering an initial static equilibrium state. KSCE Journal of Civil Engineering 15(5):849–857, DOI: https://doi.org/10.1007/s12205-011-0981-7
Li Y, Kareem A (1993) Simulation of multivariate random processes: hybrid DFT and digital filtering approach. Journal of Engineering Mechanics 119(5):1078–1098, DOI: https://doi.org/10.1061/(ASCE)0733-9399(1993)119:5(1078)
Li Y, Togbenou K, Xiang H, Chen N (2017) Simulation of non-stationary wind velocity field on bridges based on Taylor series. Journal of Wind Engineering and Industrial Aerodynamics 169: 117–127, DOI: https://doi.org/10.1016/j.jweia.2017.07.005
Li QS, Zhi L, Hu F (2009) Field monitoring of boundary layer wind characteristics in urban area. Wind and Structures 12(6):553–574, DOI: https://doi.org/10.12989/was.2009.12.6.553
Mao JX, Wang H, Fu YG, Spencer Jr BF (2019) Automated modal identification using principal component and cluster analysis: Application to a long-span cable-stayed bridge. Structural Control and Health Monitoring 26(10):e2430, DOI: https://doi.org/10.1002/stc.2430
Namini AH (1991) Analytical modeling of flutter derivatives as finite elements. Computers and Structures 41:1055–1064, DOI: https://doi.org/10.1016/0045-7949(91)90300-B
Panofsky HA, McCormick RA (1960) The spectrum of vertical velocity near the surface. Quarterly Journal of the Royal Meteorological Society 86(370):495–503, DOI: https://doi.org/10.1002/qj.49708637006
Scanlan RH (1978) The action of flexible bridges under wind, II: Buffeting theory. Journal of Sound and Vibration 60(2):201–211, DOI: https://doi.org/10.1016/S0022-460X(78)80029-7
Scanlan RH, Tomko JJ (1971) Airfoil and bridge deck flutter derivatives. Journal of the Engineering Mechnics Division 97(6):1717–1737
Simiu E, Scanlan RH (1996) Wind effects on Structures. John Wiley and Sons, New York, NY, USA
Soyluk K (2004) Comparison of random vibration methods for multisupport seismic excitation analysis of long-span bridges. Engineering Structures 26(11):1573–1583, DOI: https://doi.org/10.1016/j.engstruct.2004.05.016
Tao TY, Wang H, Wu T (2018) Parametric study on buffeting performance of a long-span triple-tower suspension bridge. Structure and Infrastructure Engineering 14(3):381–399, DOI: https://doi.org/10.1080/15732479.2017.1354034
Tao TY, Wang H, Yao C, He X (2017) Parametric sensitivity analysis on the buffeting control of a long-span triple-tower suspension bridge with MTMD. Applied Sciences 7(4):395, DOI: https://doi.org/10.3390/app7040395
Thai HT, Choi DH (2013) Advanced analysis of multi-span suspension bridges. Journal of Constructional Steel Research 90:29–41, DOI: https://doi.org/10.1016/j.jcsr.2013.07.015
Vu TV, Kim YM, Lee HE (2016) Coupled flutter analysis of long-span bridges using full set of flutter derivatives. KSCE Journal of Civil Engineering 20(5):1501–1513, DOI: https://doi.org/10.1007/s12205-015-0271-x
Wang H, Hu R, Xie J, Tong T, Li A (2013) Comparative study on buffeting performance of Sutong Bridge based on design and measured spectrum. Journal of Bridge Engineering 18(7):587–600, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0000394
Wang H, Tao T, Zhou R, Hua X, Kareem A (2014) Parameter sensitivity study on flutter stability of a long-span triple-tower suspension bridge. Journal of Wind Engineering and Industrial Aerodynamics 128:12–21, DOI: https://doi.org/10.1016/j.jweia.2014.03.004
Wang H, Zong ZH, Li AQ, Tong T, Niu J, Deng WP (2012) Digital simulation of 3D turbulence wind field of sutong bridge based on measured wind spectra. Journal of Zhejiang University SCIENCE A 13(2):91–104, DOI: https://doi.org/10.1631/jzus.A1100177
Wu T, Kareem A, Ge Y (2013) Linear and nonlinear aeroelastic analysis frameworks for cable-supported bridges. Nonlinear Dynamics 74(3):487–516, DOI: https://doi.org/10.1007/s11071-013-0984-7
Xiang HF, Bao W, Chen A, Lin Z, Liu J (2004) Wind-resistant design specification for highway bridges. Ministry of Communications of the People’s Republic of China, Beijing, China
Xu Y, Øiseth O, Naess A, Moan T (2017) Prediction of long-term extreme load effects due to wind for cable-supported bridges using time-domain simulations. Engineering Structures 148:239–253, DOI: https://doi.org/10.1016/j.engstruct.2017.06.051
Xu YL, Tan ZX, Zhu LD, Zhu Q, Zhan S (2019a) Buffeting-induced stress analysis of long-span twin-box-beck bridges based on POD pressure modes. Journal of Wind Engineering and Industrial Aerodynamics 188:397–409, DOI: https://doi.org/10.1016/j.jweia.2019.03.016
Xu Z, Wang H, Zhang H, Zhao K, Gao H, Zhu Q (2019b) Non-stationary turbulent wind field simulation of long-span bridges using the updated non-negative matrix factorization-based spectral representation method. Applied Sciences 9(24):5506, DOI: https://doi.org/10.3390/app9245506
Xu YL, Zhu LD (2005) Buffeting response of long-span cable-supported bridges under skew winds. Part 2: Case study. Journal of Sound and Vibration 281(3–5):675–697, DOI: https://doi.org/10.1016/j.jsv.2004.01.025
Yoshida O, Okuda M, Moriya T (2004) Structural characteristics and applicability of four-span suspension bridge. Journal of Bridge Engineering 9:453–463, DOI: https://doi.org/10.1061/(ASCE)1084-0702(2004)9:5(453)
Zhang XJ (2010) Study of structural parameters on the aerodynamic stability of three-tower suspension bridge. Wind and Structures 13(5):471–485, DOI: https://doi.org/10.12989/was.2010.13.5.471
Zhang WM, Ge YJ (2014) Flutter mode transition of a double-mainspan suspension bridge in full aeroelastic model testing. Journal of Bridge Engineering 19(7):06014004, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0000625
Zhang W, Ge YJ, Cai CS (2013) Evaluating wind loads on bridge decks using velocity fields. Journal of Engineering Mechanics 139(3): 339–346, DOI: https://doi.org/10.1061/(ASCE)EM.1943-7889.0000504
Zhang WM, Ge YJ, Levitan ML (2011) Aerodynamic flutter analysis of a new suspension bridge with double main spans. Wind and Structures 14(3):187–208, DOI: https://doi.org/10.12989/was.2011.14.3.187
Zhou R, Zong ZH, Huang XY, Xia ZH (2014) Seismic response study on a multi-span cable-stayed bridge scale model under multi-support excitations. Part II: Numerical analysis. Journal of Zhejiang University SCIENCE A 15(6):405–418, DOI: https://doi.org/10.1631/jzus.A1300340
Zhu LD, Xu YL (2005) Buffeting response of long-span cable-supported bridges under skew winds. Part 1: Theory. Journal of Sound and Vibration 281(3–5):647–673, DOI: https://doi.org/10.1016/j.jsv.2004.01.026
Zhu J, Zhang W (2017) Numerical simulation of wind and wave fields for coastal slender bridges. Journal of Bridge Engineering 22(3): 04016125, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0001002
Zong ZH, Zhou R, Huang XY, Xia ZH (2014) Seismic response study on a multi-span cable-stayed bridge scale model under multi-support excitations. Part I: Shaking table tests. Journal of Zhejiang University Science A 15(5):351–363, DOI: https://doi.org/10.1631/jzus.A1300339
Acknowledgments
The National Natural Science Foundation of China (Nos. 51722804 and 51908125), the National Ten Thousand Talent Program for Young Top-notch Talents (No. W03070080), the Key Research and Development Plan of Jiangsu Province (No. BE2018120), Scientific Research Foundation of Graduate School of Southeast University (YBPY2018) and the China Scholarship Council (No. 201906090074) are greatly acknowledged.
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Wang, H., Xu, Z., Yang, M. et al. Numerical Analysis on Buffeting Performance of a Long-Span Four-Tower Suspension Bridge Using the FEM Model. KSCE J Civ Eng 25, 854–865 (2021). https://doi.org/10.1007/s12205-021-2406-6
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DOI: https://doi.org/10.1007/s12205-021-2406-6