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Research Papers

Study on Wind-Induced Vibration Behavior of Railway Catenary in Spatial Stochastic Wind Field Based on Nonlinear Finite Element Procedure

[+] Author and Article Information
Yang Song

School of Electrical Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mail: y.song_gabrielle@outlook.com

Zhigang Liu

School of Electrical Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mail: liuzg_cd@126.com

Fuchuan Duan

School of Electrical Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mail: duanfc_cd@163.com

Xiaobing Lu

School of Electrical Engineering,
Southwest Jiaotong University,
Chengdu 610031, Sichuan, China
e-mail: hello.lxb@163.com

Hongrui Wang

Section of Road and Railway Engineering,
Delft University of Technology,
Delft 2628CN, The Netherlands
e-mail: soul_wang0@163.com

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 15, 2017; final manuscript received July 6, 2017; published online September 22, 2017. Assoc. Editor: Stefano Gonella.

J. Vib. Acoust 140(1), 011010 (Sep 22, 2017) (14 pages) Paper No: VIB-17-1016; doi: 10.1115/1.4037521 History: Received January 15, 2017; Revised July 06, 2017

Due to its long-span structure and large flexibility, an electrified railway catenary is very sensitive to environmental wind load, especially the time-varying stochastic wind, which may lead to a strong forced vibration of contact line and deteriorate the current collection quality of the pantograph–catenary system. In this paper, in order to study the wind-induced vibration behavior of railway catenary, a nonlinear finite element procedure is implemented to construct the model of catenary, which can properly describe the large nonlinear deformation and the nonsmooth nonlinearity of dropper. The spatial stochastic wind field is developed considering the fluctuating winds in along-wind, vertical-wind, and cross-wind directions. Using the empirical spectra suggested by Kaimal, Panofsky, and Tieleman, the fluctuating wind velocities in three directions are generated considering the temporal and spatial correlations. Based on fluid-induced vibration theory, the model of fluctuating forces acting on catenary are developed considering the spatial characteristics of catenary. The time- and frequency-domain analyses are conducted to study the wind-induced vibration behavior with different angles of wind deflection, different angles of attack, as well as different geometries of catenary. The effect of spatial wind load on contact force of pantograph–catenary system is also investigated.

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Figures

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Fig. 1

Nonlinear 3D catenary model

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Fig. 2

Schematic of spatial wind field

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Fig. 3

Stochastic wind velocities in three directions: (a) stochastic wind velocities acting on the fifth point and (b) stochastic wind velocities acting on the 59th point

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Fig. 4

Determination of aerodynamic forces acting on catenary: (a) schematic of coordinate transformation and (b) schematic of contact line cross section with wind load

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Fig. 5

Calculation results of aerodynamic coefficients of contact line

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Fig. 6

Results of maximum deviation of contact line: (a) maximum lateral deviation and (b) maximum vertical deviation

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Fig. 7

Results of vibration response of midpoints: (a) lateral vibration and (b) vertical vibration

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Fig. 8

Spectrums of the vibration response: (a) lateral vibration and (b) vertical vibration

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Fig. 9

Boxplots of the vibration response with different angles of wind deflection (U = 20 m/s): (a) lateral vibration and (b) vertical vibration

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Fig. 10

Boxplots of the vibration response with different angles of attack (U = 20 m/s): (a) lateral vibration and (b) vertical vibration

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Fig. 11

Results of integration of displacement with different tensions

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Fig. 12

Spectrums of the vibration response with different tensions with U = 20 m/s: (a) lateral vibration and (b) vertical vibration

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Fig. 13

Results of integration of displacement with different lengths of span

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Fig. 14

Spectrums of the vibration response with different lengths of span with U = 20 m/s: (a) lateral vibration and (b) vertical vibration

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Fig. 15

Results of integration of displacement with different stagger values

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Fig. 16

Results of integration of displacement with bigger stagger values

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Fig. 17

Results of contact force with different angles of wind deflection

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Fig. 18

Standard deviations of contact force versus angle of wind deflection

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Fig. 19

Results of contact force with different angles of attack

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Fig. 20

Standard deviations of contact force versus angle of attack

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