Identification of Roadway Wavelengths Affecting the Dynamic Responses of Bridges due to Vehicular Loading
The bridge vibration due to traffic loading has been a
subject of extensive research during the last decades. A number of
these studies are concerned with the effects of the unevenness of
roadways on the dynamic responses of highway bridges. The road
unevenness is often described as a random process that constitutes
of different wavelengths. Thus, the study focuses on examining
the effects of the random description of roadways on the dynamic
response and its variance. A new setting of variance based sensitivity
analysis is proposed and used to identify and quantify the
contributions of the roadway-s wavelengths to the variance of the
dynamic response. Furthermore, the effect of the vehicle-s speed on
the dynamic response is studied.
[1] F. Yang, G. Fonder, An Interative Solution Method for Dynamic Resposne
of Bridge-Vehicle Systems, Earthquake Engineering and Structural Dynamics
25 (1996) 195-215.
[2] Y. Yang, J. Yau, Y. Wu, Vehicle-Bridge Interaction Dynamics, World
Scientific Publishing Co. Pte. Ltd., 2004.
[3] Y. Cheung, F. Au, D. Zheng, Y. Cheng, Vibration of Multi-Span Non-
Uniform Bridges under Moving Vehicles and Trains by using Modified
Beam Vibration Functions, Journal of Sound and Vibration 228 (1999)
611-628.
[4] M. Gae, J. Xiong, J. Zhan, Sensitive Wavelength of Track Irregularity
and its Ifluence on Dynamic Responses of Train-Bridge System in High-
Speed Railway, in: Proceedings of the 8th International Conference on
Structural Dynamics, EURODYN2011, 4-7 July 2011.
[5] K. Liu, G. D. Roeck, G. Lombaert, The Effect of Dynamic Train-Bridge
Interaction on the Bridge Resposne during a Train Passage, Journal of
Sound and Vibration 325 (2009) 240-251.
[6] E. Hwang, A. Nowak, Simulation of Dynamic Load for Bridges, Journal
of Structural Engineering ASCE , 117(5) (5) (1991) 1413-1434.
[7] S. Nielsen, P. Kirkegaard, Influence of Surface Irregularities on the
Dynamic Response of Minor Highway Bridges, in: Proceedings of the
4th International Conference on Stochastic Dynamics, University of Notre
Dame, USA, 1998, pp. 507-512.
[8] F. Lu, J. Lin, D. Kennedy, F. Williams, An Algorithm to Study Nonstationary
Random Vibrations of Vehicle-Bridge Systems, Computers and
Structures 87 (2009) 177-185.
[9] G. Lombaert, J. Conte, Vehicle-Bridge Interaction in the Presence of
Random Track Unevenness, Tech. rep., Structural Mechanics Division,
Katholieke Universiteit Leuven, Belgium (2010).
[10] S. Law, S. Wu, Dynamic Analysis of Bridge with Non-Gaussian Uncertainties
under a Moving Vehicles, Probabilistic Engineering Mechanics
26 (2011) 281-293.
[11] N. Liu, W.Gao, C. Song, N. Zhang, Probabilistic Dynamic Analysis of
Vehicle-Bridge Interaction with Uncertain Parameters, Computer Modeling
in Engineering & Sciences 72 (2) (2011) 72-102.
[12] A. Saltelli, S. Tarantola, F. Campolongo, M. Ratto, Sensitivity Analysis
in Practice: A Guide to Assessing Scientific Models., John Wiley & Sons
Ltd, 2004.
[13] I. Sobol, On Freezing Unessential Variables, Vestnik Moskovskogo
Universiteta Serija Matematika 6 (1996) 9294.
[14] S. Hora, R. Iman, A Comparison of Maximum/Bounding and
bayesian/monte carlo for Fault Tree Uncertainty Analysis, Tech. rep.,
Report SAND85-2839, Sandia Laboratories (1986).
[15] A. Saltelli, M. Ratto, T. Andres, F. Campolongo, J. Cariboni, D. Gatelli,
M. Saisana, S. Tarantola, Global Sensitivity Analysis, John Wiley & Sons
Ltd, 2008.
[16] M. ElMadany, Design and Optimization of Truck Suspensions using
Covariance Analysis, Computers and Structures 28 (1988) 241-246.
[17] N. Harris, E. OBrien, A.Gonz'alez, Reduction of Bridge Dynamic Amplification
through Adjustment of Vehicle Suspension Damping, Journal
of Sound and Vibration 302 (2007) 471-485.
[18] D. Cebon, Handbook of Vehicle-Road Interaction, Taylor & Francis,
1999.
[19] W. Clough, J. Penzien, Dynamics of Structures, McGraw-Hill, 1993.
[20] C. Dodds, J. Robson, The Description of Road Surface Roughness,
Journal of Sound and Vibration 31(2) (1973) 175-183.
[21] W. Schiehlen, Colored Noise Excitation of Engineering Structures, in:
Computational Methods in Structural Dynamics and Earthquake Engineering,
2009.
[22] S. Rice, Selected Papers on Noise and Stochastic Processes, Dover
Publications, 1954.
[23] M. Shinozuka, G. Deodatis, Simulation of Stochastic Processes by
Spectral Representation, Applied Mechanics Reviews 44 (4) (1991) 191-
204.
[24] D. Newland, An Introduction to Random Vibrations, Spectral and
Wavelet Analysis, Dover Publications, Inc., 1993.
[25] D. Newland, The Effect of a Footprint on Perceived Surface Roughness,
Proceedings of the Royal Society of London, Series A : Mathematical,
Physical sciences & Engineering Sciences 405 (1986) 303-327.
[26] M. Sayers, S. Karamihas, Interpretation of Road Roughness Profile
Data, Tech. rep., University of Michigan Transportation Research Institute
(UMTRI) Report (96-19) (1996).
[27] A. Pesterev, B. Yang, L. Bergman, C. Tan, Revisiting the Moving Force
Problem, Journal of Sound and Vibration 261 (2003) 75-91.
[28] S. Brady, E. O-Brien, A. ˇ Znidariˇc, The Effect of Vehicle Velocity on
the Dynamic Amplification of a Vehicle Crossing a Simply Supported
Bridge, American Society of Civil Engineering 11 (2006) 241-249.
[29] V. Bayer, C. Bucher, Importance Sampling for First Passage Problems
of Nonlinear Structures, Probabilistic Engineering mechanics 14 (1-2)
(1999) 27-32.
[1] F. Yang, G. Fonder, An Interative Solution Method for Dynamic Resposne
of Bridge-Vehicle Systems, Earthquake Engineering and Structural Dynamics
25 (1996) 195-215.
[2] Y. Yang, J. Yau, Y. Wu, Vehicle-Bridge Interaction Dynamics, World
Scientific Publishing Co. Pte. Ltd., 2004.
[3] Y. Cheung, F. Au, D. Zheng, Y. Cheng, Vibration of Multi-Span Non-
Uniform Bridges under Moving Vehicles and Trains by using Modified
Beam Vibration Functions, Journal of Sound and Vibration 228 (1999)
611-628.
[4] M. Gae, J. Xiong, J. Zhan, Sensitive Wavelength of Track Irregularity
and its Ifluence on Dynamic Responses of Train-Bridge System in High-
Speed Railway, in: Proceedings of the 8th International Conference on
Structural Dynamics, EURODYN2011, 4-7 July 2011.
[5] K. Liu, G. D. Roeck, G. Lombaert, The Effect of Dynamic Train-Bridge
Interaction on the Bridge Resposne during a Train Passage, Journal of
Sound and Vibration 325 (2009) 240-251.
[6] E. Hwang, A. Nowak, Simulation of Dynamic Load for Bridges, Journal
of Structural Engineering ASCE , 117(5) (5) (1991) 1413-1434.
[7] S. Nielsen, P. Kirkegaard, Influence of Surface Irregularities on the
Dynamic Response of Minor Highway Bridges, in: Proceedings of the
4th International Conference on Stochastic Dynamics, University of Notre
Dame, USA, 1998, pp. 507-512.
[8] F. Lu, J. Lin, D. Kennedy, F. Williams, An Algorithm to Study Nonstationary
Random Vibrations of Vehicle-Bridge Systems, Computers and
Structures 87 (2009) 177-185.
[9] G. Lombaert, J. Conte, Vehicle-Bridge Interaction in the Presence of
Random Track Unevenness, Tech. rep., Structural Mechanics Division,
Katholieke Universiteit Leuven, Belgium (2010).
[10] S. Law, S. Wu, Dynamic Analysis of Bridge with Non-Gaussian Uncertainties
under a Moving Vehicles, Probabilistic Engineering Mechanics
26 (2011) 281-293.
[11] N. Liu, W.Gao, C. Song, N. Zhang, Probabilistic Dynamic Analysis of
Vehicle-Bridge Interaction with Uncertain Parameters, Computer Modeling
in Engineering & Sciences 72 (2) (2011) 72-102.
[12] A. Saltelli, S. Tarantola, F. Campolongo, M. Ratto, Sensitivity Analysis
in Practice: A Guide to Assessing Scientific Models., John Wiley & Sons
Ltd, 2004.
[13] I. Sobol, On Freezing Unessential Variables, Vestnik Moskovskogo
Universiteta Serija Matematika 6 (1996) 9294.
[14] S. Hora, R. Iman, A Comparison of Maximum/Bounding and
bayesian/monte carlo for Fault Tree Uncertainty Analysis, Tech. rep.,
Report SAND85-2839, Sandia Laboratories (1986).
[15] A. Saltelli, M. Ratto, T. Andres, F. Campolongo, J. Cariboni, D. Gatelli,
M. Saisana, S. Tarantola, Global Sensitivity Analysis, John Wiley & Sons
Ltd, 2008.
[16] M. ElMadany, Design and Optimization of Truck Suspensions using
Covariance Analysis, Computers and Structures 28 (1988) 241-246.
[17] N. Harris, E. OBrien, A.Gonz'alez, Reduction of Bridge Dynamic Amplification
through Adjustment of Vehicle Suspension Damping, Journal
of Sound and Vibration 302 (2007) 471-485.
[18] D. Cebon, Handbook of Vehicle-Road Interaction, Taylor & Francis,
1999.
[19] W. Clough, J. Penzien, Dynamics of Structures, McGraw-Hill, 1993.
[20] C. Dodds, J. Robson, The Description of Road Surface Roughness,
Journal of Sound and Vibration 31(2) (1973) 175-183.
[21] W. Schiehlen, Colored Noise Excitation of Engineering Structures, in:
Computational Methods in Structural Dynamics and Earthquake Engineering,
2009.
[22] S. Rice, Selected Papers on Noise and Stochastic Processes, Dover
Publications, 1954.
[23] M. Shinozuka, G. Deodatis, Simulation of Stochastic Processes by
Spectral Representation, Applied Mechanics Reviews 44 (4) (1991) 191-
204.
[24] D. Newland, An Introduction to Random Vibrations, Spectral and
Wavelet Analysis, Dover Publications, Inc., 1993.
[25] D. Newland, The Effect of a Footprint on Perceived Surface Roughness,
Proceedings of the Royal Society of London, Series A : Mathematical,
Physical sciences & Engineering Sciences 405 (1986) 303-327.
[26] M. Sayers, S. Karamihas, Interpretation of Road Roughness Profile
Data, Tech. rep., University of Michigan Transportation Research Institute
(UMTRI) Report (96-19) (1996).
[27] A. Pesterev, B. Yang, L. Bergman, C. Tan, Revisiting the Moving Force
Problem, Journal of Sound and Vibration 261 (2003) 75-91.
[28] S. Brady, E. O-Brien, A. ˇ Znidariˇc, The Effect of Vehicle Velocity on
the Dynamic Amplification of a Vehicle Crossing a Simply Supported
Bridge, American Society of Civil Engineering 11 (2006) 241-249.
[29] V. Bayer, C. Bucher, Importance Sampling for First Passage Problems
of Nonlinear Structures, Probabilistic Engineering mechanics 14 (1-2)
(1999) 27-32.
@article{"International Journal of Architectural, Civil and Construction Sciences:50246", author = "Ghada Karaki", title = "Identification of Roadway Wavelengths Affecting the Dynamic Responses of Bridges due to Vehicular Loading", abstract = "The bridge vibration due to traffic loading has been a
subject of extensive research during the last decades. A number of
these studies are concerned with the effects of the unevenness of
roadways on the dynamic responses of highway bridges. The road
unevenness is often described as a random process that constitutes
of different wavelengths. Thus, the study focuses on examining
the effects of the random description of roadways on the dynamic
response and its variance. A new setting of variance based sensitivity
analysis is proposed and used to identify and quantify the
contributions of the roadway-s wavelengths to the variance of the
dynamic response. Furthermore, the effect of the vehicle-s speed on
the dynamic response is studied.", keywords = "vehicle bridge interaction, sensitivity analysis, road
unevenness, random processes, critical speeds", volume = "6", number = "7", pages = "421-9", }
