Technical Papers
Jun 10, 2021

Non-Gaussian Turbulence Induced Buffeting Responses of Long-Span Bridges

Publication: Journal of Bridge Engineering
Volume 26, Issue 8

Abstract

Conventionally, for turbulence-induced buffeting vibrations, the Gaussianity assumption is applied to all three subsequent stages of turbulence, wind loads, and structural vibrations because of its wide applicability and mathematical simplicity. However, non-Gaussian turbulence does exist in the boundary-layer atmosphere, especially near the tropical cyclone center. Non-Gaussian turbulence represents short duration and high-speed airflow, which is unfavorable for structural dynamic performance and reliability. It is necessary to analyze the non-Gaussian turbulence effect on flexible structures, especially long-span bridges, and compare the wind-induced vibration against responses caused by conventional Gaussian turbulence. The time domain bridge buffeting analysis method with unsteady aeroelastic force and aerodynamic admittance approximated by rational function was employed to calculate the vibrations excited by Gaussian and non-Gaussian turbulence, which were simulated using the spectrum representation method and the Hermit polynomial translation process method. A Monte Carlo simulation of bridge buffeting was conducted in this study. The statistical results show that the bridge response, excited either by Gaussian or non-Gaussian turbulence, still follows the Gaussian process assumption. However, for the same wind speed, Monte Carlo simulation shows that the vibration amplitudes increases with turbulence skewness in terms of RMS and extreme values. However, the increment ratio decreases with greater mean wind speeds. The peak factors also increase slightly for greater turbulence skewness.

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Acknowledgments

The authors gratefully acknowledge the support of National Natural Science Foundation of China (52008314, 52078383) and Shanghai Pujiang Plan (No. 19PJ1409800). Any opinions, findings, and conclusions or recommendations are those of the authors and do not necessarily reflect the views of these agencies.

References

Cai, C., and S. Chen. 2004. “Framework of vehicle–bridge–wind dynamic analysis.” J. Wind Eng. Ind. Aerodyn. 92 (7-8): 579–607. https://doi.org/10.1016/j.jweia.2004.03.007.
Cao, S., Y. Tamura, N. Kikuchi, M. Saito, I. Nakayama, and Y. Matsuzaki. 2009. “Wind characteristics of a strong typhoon.” J. Wind Eng. Ind. Aerodyn. 97 (1): 11–21. https://doi.org/10.1016/j.jweia.2008.10.002.
Chen, X., M. Matsumoto, and A. Kareem. 2000a. “Aerodynamic coupling effects on flutter and buffeting of bridges.” J. Eng. Mech. 126 (1): 17–26. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(17).
Chen, X., M. Matsumoto, and A. Kareem. 2000b. “Time domain flutter and buffeting response analysis of bridges.” J. Eng. Mech. 126 (1): 7–16. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(7).
Cui, W., and L. Caracoglia. 2017. “Examination of experimental variability in HFFB testing of a tall building under multi-directional winds.” J. Wind Eng. Ind. Aerodyn. 171: 34–49. https://doi.org/10.1016/j.jweia.2017.09.001.
Cui, W., and L. Caracoglia. 2018. “A fully-coupled generalized model for multi-directional wind loads on tall buildings: A development of the quasi-steady theory.” J. Fluids Struct. 78: 52–68. https://doi.org/10.1016/j.jfluidstructs.2017.12.008.
Davenport, A. G. 1961. “A statistical approach to the treatment of wind loading on tall masts and suspension bridges.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Bristol.
Davenport, A. G. 1962. “Buffeting of a suspension bridge by storm winds.” J. Struct. Div. 88 (3): 233–270. https://doi.org/10.1061/JSDEAG.0000773.
Deodatis, G. 1996. “Simulation of ergodic multivariate stochastic processes.” J. Eng. Mech. 122 (8): 778–787. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:8(778).
Diana, G., D. Rocchi, T. Argentini, and S. Muggiasca. 2010. “Aerodynamic instability of a bridge deck section model: Linear and nonlinear approach to force modeling.” J. Wind Eng. Ind. Aerodyn. 98 (6–7): 363–374. https://doi.org/10.1016/j.jweia.2010.01.003.
Djenidi, L., R. A. Antonia, M. K. Talluru, and H. Abe. 2017. “Skewness and flatness factors of the longitudinal velocity derivative in wall-bounded flows.” Phys. Rev. Fluids 2 (6): 064608. https://doi.org/10.1103/PhysRevFluids.2.064608.
Ge, Y., and L. Zhao. 2014. “Wind-excited stochastic vibration of long-span bridge considering wind field parameters during typhoon landfall.” Wind Struct. 19 (4): 421–441. https://doi.org/10.12989/was.2014.19.4.421.
Gioffre, M., V. Gusella, and M. Grigoriu. 2000. “Simulation of non-Gaussian field applied to wind pressure fluctuations.” Probab. Eng. Mech. 15 (4): 339–345. https://doi.org/10.1016/S0266-8920(99)00035-1.
Grigoriu, M. 1984. “Crossings of non-Gaussian translation processes.” J. Eng. Mech. 110 (4): 610–620. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:4(610).
Grigoriu, M., and S. T. Ariaratnam. 1988. “Response of linear systems to polynomials of Gaussian processes.” J. Appl. Mech. 55 (4): 905–910. https://doi.org/10.1115/1.3173740.
Gusella, V., and A. Materazzi. 2000. “Non-Gaussian along-wind response analysis in time and frequency domains.” Eng. Struct. 22 (1): 49–57. https://doi.org/10.1016/S0141-0296(98)00074-1.
Hu, L., Y.-L. Xu, Q. Zhu, A. Guo, and A. Kareem. 2017. “Tropical storm–induced buffeting response of long-span bridges: Enhanced nonstationary buffeting force model.” J. Struct. Eng. 143 (6): 04017027. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001745.
Hui, Y., B. Li, H. Kawai, and Q. Yang. 2017. “Non-stationary and non-Gaussian characteristics of wind speeds.” Wind Struct. 24 (1): 59–78. https://doi.org/10.12989/was.2017.24.1.059.
Isyumov, N. 2012. “Alan G. Davenport’s mark on wind engineering.” J. Wind Eng. Ind. Aerodyn. 104: 12–24. https://doi.org/10.1016/j.jweia.2012.02.007.
Jain, A., N. P. Jones, and R. H. Scanlan. 1996. “Coupled flutter and buffeting analysis of long-span bridges.” J. Struct. Eng. 122 (7): 716–725. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:7(716).
Jones, N. P., and R. H. Scanlan. 2001. “Theory and full-bridge modeling of wind response of cable-supported bridges.” J. Bridge Eng. 6 (6): 365–375. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(365).
Kareem, A., and T. Wu. 2013. “Wind-induced effects on bluff bodies in turbulent flows: Nonstationary, non-Gaussian and nonlinear features.” J. Wind Eng. Ind. Aerodyn. 122: 21–37. https://doi.org/10.1016/j.jweia.2013.06.002.
Kareem, A., and T. Wu. 2016. “Bluff body aerodynamics and aeroelasticity: Nonstationary, non-Gaussian and nonlinear features.” In Advances in fluid-structure interaction, edited by M. Braza, A. Bottaro and M. Thompson, 3–14. Cham, Switzerland: Springer.
Karmakar, D., S. Ray-Chaudhuri, and M. Shinozuka. 2012. “Conditional simulation of non-Gaussian wind velocity profiles: Application to buffeting response of vincent thomas suspension bridge.” Probab. Eng. Mech. 29: 167–175. https://doi.org/10.1016/j.probengmech.2011.11.005.
Katsuchi, H., N. P. Jones, and R. H. Scanlan. 1999. “Multimode coupled flutter and buffeting analysis of the Akashi-Kaikyo bridge.” J. Struct. Eng. 125 (1): 60–70. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:1(60).
Ko, J., S. Xue, and Y. Xu. 1998. “Modal analysis of suspension bridge deck units in erection stage.” Eng. Struct. 20 (12): 1102–1112. https://doi.org/10.1016/S0141-0296(97)00207-1.
Le, T.-H., and L. Caracoglia. 2015. “Reduced-order Wavelet-Galerkin solution for the coupled, nonlinear stochastic response of slender buildings in transient winds.” J. Sound Vib. 344: 179–208. https://doi.org/10.1016/j.jsv.2015.01.007.
Le, V., and L. Caracoglia. 2019. “Generation and characterization of a non-stationary flow field in a small-scale wind tunnel using a multi-blade flow device.” J. Wind Eng. Ind. Aerodyn. 186: 1–16. https://doi.org/10.1016/j.jweia.2018.12.017.
Li, L., A. Kareem, Y. Xiao, L. Song, and C. Zhou. 2015. “A comparative study of field measurements of the turbulence characteristics of typhoon and hurricane winds.” J. Wind Eng. Ind. Aerodyn. 140: 49–66. https://doi.org/10.1016/j.jweia.2014.12.008.
Li, Y., and A. Kareem. 1990. “Arma systems in wind engineering.” Probab. Eng. Mech. 5 (2): 49–59. https://doi.org/10.1016/S0266-8920(08)80001-X.
Liu, M., L. Peng, G. Huang, Q. Yang, and Y. Jiang. 2020. “Simulation of stationary non-Gaussian multivariate wind pressures using moment-based piecewise hermite polynomial model.” J. Wind Eng. Ind. Aerodyn. 196: 104041. https://doi.org/10.1016/j.jweia.2019.104041.
Monahan, A. H. 2004. “A simple model for the skewness of global sea surface winds.” J. Atmos. Sci. 61 (16): 2037–2049. https://doi.org/10.1175/1520-0469(2004)061%3C2037:ASMFTS%3E2.0.CO;2.
Piccardo, G., and G. Solari. 1998. “Closed form prediction of 3-D wind-excited response of slender structures.” J. Wind Eng. Ind. Aerodyn. 74: 697–708. https://doi.org/10.1016/S0167-6105(98)00063-4.
Piccardo, G., and G. Solari. 2000. “3D wind-excited response of slender structures: Closed-form solution.” J. Struct. Eng. 126 (8): 936–943. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:8(936).
Scanlan, R. 1978a. “The action of flexible bridges under wind, I: Flutter theory.” J. Sound Vib. 60 (2): 187–199. https://doi.org/10.1016/S0022-460X(78)80028-5.
Scanlan, R. 1978b. “The action of flexible bridges under wind, II: Buffeting theory.” J. Sound Vib. 60 (2): 201–211. https://doi.org/10.1016/S0022-460X(78)80029-7.
Scanlan, R. H. 1984. “Role of indicial functions in buffeting analysis of bridges.” J. Struct. Eng. 110 (7): 1433–1446. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:7(1433).
Scanlan, R. H., and N. P. Jones. 1990. “Aeroelastic analysis of cable-stayed bridges.” J. Struct. Eng. 116 (2): 279–297. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:2(279).
Sears, W. R. 1941. “Some aspects of non-stationary airfoil theory and its practical application.” J. Aeronaut. Sci. 8 (3): 104–108. https://doi.org/10.2514/8.10655.
Seo, D.-W., and L. Caracoglia. 2012. “Statistical buffeting response of flexible bridges influenced by errors in aeroelastic loading estimation.” J. Wind Eng. Ind. Aerodyn. 104: 129–140. https://doi.org/10.1016/j.jweia.2012.03.036.
Seo, D.-W., and L. Caracoglia. 2013. “Estimating life-cycle monetary losses due to wind hazards: Fragility analysis of long-span bridges.” Eng. Struct. 56: 1593–1606. https://doi.org/10.1016/j.engstruct.2013.07.031.
Shinozuka, M. 1974. “Digital simulation of random processes in engineering mechanics with the aid of FFT technique (Fast Fourier Fransformation).” In Stochastic problems in mechanics, edited by S. T. Ariaratnam and H. H. E. Leipholz, 277–286. Waterloo, ON, Canada: University of Waterloo Press.
Simiu, E., and R. H. Scanlan. 1996. Wind effects on structures: Fundamentals and applications to design. 3rd ed. Hoboken, NJ: John Wiley & Sons.
Simiu, E., and D. Yeo. 2019. Wind effects on structures: Modern structural design for wind. 4th ed. Hoboken, NJ: Wiley–Blackwell.
Tabeling, P., G. Zocchi, F. Belin, J. Maurer, and H. Willaime. 1996. “Probability density functions, skewness, and flatness in large Reynolds number turbulence.” Phys. Rev. E 53 (2): 1613. https://doi.org/10.1103/PhysRevE.53.1613.
Theodorsen, T. 1935. “General theory of aerodynamic instability and the mechanism of flutter.”
Wang, H., T. Wu, T. Tao, A. Li, and A. Kareem. 2016. “Measurements and analysis of non-stationary wind characteristics at Sutong Bridge in Typhoon Damrey.” J. Wind Eng. Ind. Aerodyn. 151: 100–106. https://doi.org/10.1016/j.jweia.2016.02.001.
Welch, P. 1967. “The use of fast fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms.” IEEE Trans. Audio Electroacoust. 15 (2): 70–73. https://doi.org/10.1109/TAU.1967.1161901.
Wu, F., G. Huang, and M. Liu. 2020. “Simulation and peak value estimation of non-Gaussian wind pressures based on Johnson transformation model.” J. Eng. Mech. 146 (1): 04019116. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001697.
Wu, T., and A. Kareem. 2013. “A nonlinear convolution scheme to simulate bridge aerodynamics.” Comput. Struct. 128: 259–271. https://doi.org/10.1016/j.compstruc.2013.06.004.
Xu, Y., D. Sun, J. Ko, and J. Lin. 1998. “Buffeting analysis of long span bridges: A new algorithm.” Comput. Struct. 68 (4): 303–313. https://doi.org/10.1016/S0045-7949(98)00072-8.
Xu, Y.-L., and W. Guo. 2003. “Dynamic analysis of coupled road vehicle and cable-stayed bridge systems under turbulent wind.” Eng. Struct. 25 (4): 473–486. https://doi.org/10.1016/S0141-0296(02)00188-8.
Xu, Y.-L., Z.-X. Tan, L.-D. Zhu, Q. Zhu, and S. Zhan. 2019. “Buffeting-induced stress analysis of long-span twin-box-beck bridges based on POD pressure modes.” J. Wind Eng. Ind. Aerodyn. 188: 397–409. https://doi.org/10.1016/j.jweia.2019.03.016.
Yang, L., and K. R. Gurley. 2015. “Efficient stationary multivariate non-Gaussian simulation based on a Hermite pdf model.” Probab. Eng. Mech. 42: 31–41. https://doi.org/10.1016/j.probengmech.2015.09.006.
Yang, Q., X. Chen, and M. Liu. 2019. “Bias and sampling errors in estimation of extremes of non-Gaussian wind pressures by moment-based translation process models.” J. Wind Eng. Ind. Aerodyn. 186: 214–233. https://doi.org/10.1016/j.jweia.2019.01.006.
Yang, Q., and Y. Tian. 2015. “A model of probability density function of non-Gaussian wind pressure with multiple samples.” J. Wind Eng. Ind. Aerodyn. 140: 67–78. https://doi.org/10.1016/j.jweia.2014.11.005.
Yang, Y., T. Ma, and Y. Ge. 2015. “Evaluation on bridge dynamic properties and VIV performance based on wind tunnel test and field measurement.” Wind Struct. 20 (6): 719–737. https://doi.org/10.12989/was.2015.20.6.719.
Zhao, L., W. Cui, and Y. Ge. 2019. “Measurement, modeling and simulation of wind turbulence in typhoon outer region.” J. Wind Eng. Ind. Aerodyn. 195: 104021. https://doi.org/10.1016/j.jweia.2019.104021.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 26Issue 8August 2021

History

Received: Jul 1, 2020
Accepted: Mar 26, 2021
Published online: Jun 10, 2021
Published in print: Aug 1, 2021
Discussion open until: Nov 10, 2021

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Assistant Professor, State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji Univ., Shanghai 200092, China; Key Laboratory of Transport Industry of Wind Resistant Technology for Bridge Structures (Tongji Univ.), Shanghai 200092, China; Dept. of Bridge Engineering, College of Civil Engineering, Tongji Univ., Shanghai 200092, China. ORCID: https://orcid.org/0000-0001-7489-923X. Email: [email protected]
Professor, State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji Univ., Shanghai 200092, China; Key Laboratory of Transport Industry of Wind Resistant Technology for Bridge Structures (Tongji Univ.), Shanghai 200092, China; Dept. of Bridge Engineering, College of Civil Engineering, Tongji Univ., Shanghai 200092, China (corresponding author). Email: [email protected]
Professor, State Key Laboratory of Disaster Reduction in Civil Engineering, Tongji Univ., Shanghai 200092, China; Key Laboratory of Transport Industry of Wind Resistant Technology for Bridge Structures (Tongji Univ.), Shanghai 200092, China; Dept. of Bridge Engineering, College of Civil Engineering, Tongji Univ., Shanghai 200092, China. Email: [email protected]

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