Abstract

Concrete box girder bridges occupy over 80% of the total mileage of the Chinese high-speed railway. The box girder structure has many natural modes of low frequencies, which can be excited by a train passing at high-speed, generating low-frequency bridge noise. This paper is concerned with the prediction of such bridge noise and reports a prediction model. The model, as other existing models of the same nature, also incorporates two parts, one dealing with vehicle–track-viaduct dynamics and the other dealing with sound radiation from the girders, but takes into account more features related to high-speed. In this model, vehicle–track-viaduct dynamics is dealt with in the frequency-domain based on the theory of infinitely long periodic structure and the Fourier-series method, predicting vibration frequency spectra for each and every box girder. The predicted vibration frequency spectra of all the box girders are expressed as a sum of propagating waves at different wavenumbers, and sound radiation from each propagating wave is evaluated using the 2.5D acoustic boundary element method. This approach to sound radiation enables contributions from all the box girders to be included at a reasonable computational cost. This paper continues with a comparison in bridge vibration and noise between prediction and measurement for a typical site. And finally, based on the parameters of that site, characteristics of noise radiation from the concrete box girders are studied using the prediction model.

References

1.
Li
,
Q.
,
Song
,
X. D.
, and
Wu
,
D. J.
,
2014
, “
A 2.5-Dimensional Method for the Prediction of Structure-Borne Low-Frequency Noise From Concrete Rail Transit Bridges
,”
J. Acoust. Soc. Am.
,
135
(
5
), pp.
2718
2726
. 10.1121/1.4871357
2.
Costley
,
R. D.
,
Diaz-Alvarez
,
H.
,
McKenna
,
M. H.
, and
Jordan
,
A. M.
,
2015
, “
Vibration and Acoustic Analysis of Trussed Railroad Bridge Under Moving Loads
,”
ASME J. Vib. Acoust.
,
137
(
6
), p.
031009
. 10.1115/1.4029213
3.
Li
,
X. Z.
,
Liang
,
L.
, and
Wang
,
D. X.
,
2018
, “
Vibration and Noise Characteristics of an Elevated Box Girder Paved With Different Track Structures
,”
J. Sound Vib.
,
425
(
3
), pp.
21
40
. 10.1016/j.jsv.2018.03.031
4.
Thompson
,
D. J.
,
2009
,
Railway Noise and Vibration: Mechanisms, Modelling and Means of Control
,
Elsevier
,
Oxford, UK
.
5.
Chan
,
T. H. T.
, and
Ashebo
,
D. B.
,
2006
, “
Moving Axle Load From Multi-Span Continuous Bridge: Laboratory Study
,”
ASME J. Vib. Acoust.
,
128
(
4
), pp.
521
526
. 10.1115/1.2202154
6.
Song
,
X. D.
,
Li
,
Q.
, and
Wu
,
D. J.
,
2017
, “
Prediction of Rail and Bridge Noise in Near- and Far-Field: A Combined 2.5-Dimensional and Two-Dimensional Method
,”
ASME J. Vib. Acoust.
,
139
(1), p.
011007
. 10.1115/1.4034769
7.
Knothe
,
K.
, and
Grassie
,
S. L.
,
1993
, “
Modelling of Railway Track and Vehicle/Track Interaction at High Frequencies
,”
Veh. Syst. Dyn.
,
22
(
3–4
), pp.
209
262
. 10.1080/00423119308969027
8.
Zhai
,
W. M.
,
Wang
,
K. Y.
, and
Cai
,
C. B.
,
2009
, “
Fundamentals of Vehicle-Track Coupled Dynamics
,”
Veh. Syst. Dyn.
,
47
(
11
), pp.
1349
1376
. 10.1080/00423110802621561
9.
Chen
,
Z. W.
,
Zhai
,
W. M.
,
Cai
,
C. B.
, and
Sun
,
Y.
,
2015
, “
Safety Threshold of High-Speed Railway Pier Settlement Based on Vehicle-Track-Bridge Dynamic Interaction
,”
Sci. China Technol. Sci.
,
58
(
2
), pp.
202
210
. 10.1007/s11431-014-5692-0
10.
Sheng
,
X.
,
Li
,
M.
,
Jones
,
C. J. C.
, and
Thompson
,
D. J.
,
2007
, “
Using the Fourier-Series Approach to Study Interactions Between Moving Wheels and a Periodically Supported Rail
,”
J. Sound Vib.
,
303
(
3–5
), pp.
873
894
. 10.1016/j.jsv.2007.02.007
11.
Baeza
,
L.
, and
Ouyang
,
H.
,
2011
, “
A Railway Track Dynamics Model Based on Modal Substructuring and a Cyclic Boundary Condition
,”
J. Sound Vib.
,
330
(
1
), pp.
75
86
. 10.1016/j.jsv.2010.07.023
12.
Li
,
X. Z.
,
Liu
,
Q. M.
,
Pei
,
S. L.
,
Song
,
L. Z.
, and
Zhang
,
X.
,
2015
, “
Structure-Borne Noise of Railway Composite Bridge: Predicted Simulation and Experimental Validation
,”
J. Sound Vib.
,
353
(
5
), pp.
378
394
. 10.1016/j.jsv.2015.05.030
13.
Zhou
,
H. A.
,
Wang
,
X. M.
, and
Mei
,
Y. L.
,
2011
, “
A Semi-Analytical Method for the Vibration of and Sound Radiation From a Two-Dimensional Beam-Stiffened Plate
,”
Acta Mech. Solida Sin.
,
24
(
3
), pp.
231
240
. 10.1016/S0894-9166(11)60024-4
14.
Li
,
Q.
, and
Wu
,
D. J.
,
2013
, “
Analysis of the Dominant Vibration Frequencies of Rail Bridges for Structure-Borne Noise Using a Power Flow Method
,”
J. Sound Vib.
,
332
(
18
), pp.
4153
4163
. 10.1016/j.jsv.2013.02.036
15.
Li
,
Q.
,
Li
,
W. Q.
,
Wu
,
D. J.
, and
Song
,
X. D.
,
2016
, “
A Combined Power Flow and Infinite Element Approach to the Simulation of Medium-Frequency Noise Radiated From Bridges and Rails
,”
J. Sound Vib.
,
365
(
11
), pp.
134
156
. 10.1016/j.jsv.2015.11.041
16.
Zhang
,
X.
,
Li
,
X. Z.
,
Hao
,
H.
,
Wang
,
D. X.
, and
Li
,
Y. D.
,
2016
, “
A Case Study of Interior Low-Frequency Noise From Box-Shaped Bridge Girders Induced by Running Vehicles: Its Mechanism, Prediction and Countermeasures
,”
J. Sound Vib.
,
367
(
1
), pp.
129
144
. 10.1016/j.jsv.2016.01.004
17.
Zhang
,
X. A.
,
Zhai
,
W. M.
,
Chen
,
Z. W.
, and
Yang
,
J. J.
,
2018
, “
Characteristic and Mechanism of Structural Acoustic Radiation for Box Girder Bridge in Urban Rail Transit
,”
Sci. Total Environ.
,
627
(
1
), pp.
1303
1314
. 10.1016/j.scitotenv.2018.01.297
18.
Li
,
Q.
,
Xu
,
Y. L.
, and
Wu
,
D. J.
,
2012
, “
Concrete Bridge-Borne Low-Frequency Noise Simulation Based on Vehicle-Track-Bridge Dynamic Interaction
,”
J. Sound Vib.
,
331
(
10
), pp.
2457
2470
. 10.1016/j.jsv.2011.12.031
19.
Song
,
X. D.
,
Wu
,
D. J.
,
Li
,
Q.
, and
Botteldooren
,
D.
,
2016
, “
Structure-Borne Low-Frequency Noise From Multi-Span Bridges: A Prediction Method and Spatial Distribution
,”
J. Sound Vib.
,
367
(
1
), pp.
114
128
. 10.1016/j.jsv.2016.01.003
20.
Sheng
,
X.
,
Zhong
,
T.
, and
Li
,
Y.
,
2017
, “
Vibration and Sound Radiation of Slab High-Speed Railway Tracks Subject to a Moving Harmonic Load
,”
J. Sound Vib.
,
395
(
2
), pp.
160
186
. 10.1016/j.jsv.2017.02.024
21.
Lu
,
J. F.
,
Zhong
,
L.
, and
Zhang
,
R.
,
2015
, “
Dynamic Response of a Periodic Viaduct to a Moving Point Loading
,”
Arch. Appl. Mech.
,
85
(
1
), pp.
149
169
. 10.1007/s00419-014-0907-1
22.
PSD of Ballastless Track Irregularities of High-Speed Railway
,”
TB/T 3352-2014
.
23.
Remington
,
P. J.
,
1987
, “
Wheel/Rail Rolling Noise, I: Theoretical Analysis
,”
J. Acoust. Soc. Am.
,
81
(
6
), pp.
1805
1823
. 10.1121/1.394746
24.
Sheng
,
X.
,
Jones
,
C. J. C.
, and
Thompson
,
D. J.
,
2004
, “
A Theoretical Model for Ground Vibration From Vehicles Generated by Vertical Track Irregularities
,”
J. Sound Vib.
,
272
(
3–5
), pp.
937
965
. 10.1016/S0022-460X(03)00782-X
25.
Zhang
,
X.
,
Li
,
X. Z.
,
Liu
,
Q. M.
,
Wu
,
J. F.
, and
Li
,
Y. D.
,
2013
, “
Theoretical and Experimental Investigation on Bridge-Borne Noise Under Moving High-Speed Vehicle
,”
Sci. China Technol. Sci.
,
56
(
4
), pp.
917
924
. 10.1007/s11431-013-5146-0
26.
Technical Guidelines for Noise Impact Assessment
,
2009
, “
Ministry of Environmental Protection of the People's Republic of China
,”
HJ 2.4–2009
.
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