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CLC number: U211.3

On-line Access: 2013-12-03

Received: 2013-07-01

Revision Accepted: 2013-11-04

Crosschecked: 2013-11-07

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Journal of Zhejiang University SCIENCE A 2013 Vol.14 No.12 P.867-879

http://doi.org/10.1631/jzus.A1300225


Analytical study on the dynamic displacement response of a curved track subjected to moving loads*


Author(s):  Ke-fei Li1,2, Wei-ning Liu1, Valeri Markine3, Zhi-wei Han2

Affiliation(s):  1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China; more

Corresponding email(s):   kefeilee@sina.com

Key Words:  Curved track, Moving loads, Dynamic displacement, Analytical solution, Transfer function


Ke-fei Li, Wei-ning Liu, Valeri Markine, Zhi-wei Han. Analytical study on the dynamic displacement response of a curved track subjected to moving loads[J]. Journal of Zhejiang University Science A, 2013, 14(12): 867-879.

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author="Ke-fei Li, Wei-ning Liu, Valeri Markine, Zhi-wei Han",
journal="Journal of Zhejiang University Science A",
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pages="867-879",
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%A Valeri Markine
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%DOI 10.1631/jzus.A1300225

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T1 - Analytical study on the dynamic displacement response of a curved track subjected to moving loads
A1 - Ke-fei Li
A1 - Wei-ning Liu
A1 - Valeri Markine
A1 - Zhi-wei Han
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1300225


Abstract: 
A closed-form out-of-plane dynamic displacement response of a curved track subjected to moving loads was proposed. The track structure was modeled as a planar curved Timoshenko beam periodically supported by the double-layer spring-damping elements. The general dynamic displacement response induced by the moving loads along the curve on the elastic semi-infinite space was firstly obtained in the frequency domain, according to the Duhamel integral and the dynamic reciprocity theorem. In the case of the periodic curved track structure subjected to moving loads, the dynamic displacement equation was simplified into a form of summation within the basic track cell instead of the integral. The transfer function for the curved track was expressed in the form of a transfer matrix. Single and series moving loads were involved in the calculation program. For the verification of the analytical model, the mid-span vertical deflection of a simply support curved beam subjected to moving load was recalculated and compared with the same case in the reference. The research results indicate that: under the same moving loads, the displacement response of the curved track decreases slightly with the increasing track radius, and the displacement response of the curved track with the radius greater than or equal to 600 m is almost equivalent to the displacement response of the straight track; the frequency spectrum of the curved track is more abundant than that of the straight track, which may result in more wheel-rail resonance and rail corrugation in the curved lines.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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