First International Conference on Rail TransportationChengdu, China, July 10-12, 2017

- Leave 1 blank line before title (at 12pt font setting).Fundamentals of Vehicle-track Coupled Dynamics - 12pt font, Arial, Bold, left justified, the first letter of each word (exclude preposition) in capital.- Leave 1 blank line before author information (at 12pt font setting).Wanming ZHAI1*, Author1 and Author2 9pt font, Arial, Bold1.Train and Track Research Institute, State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China 9pt font, Arial, Italics

2.Institution/company, city & postal code, country*Corresponding author email: icrt2017@home.swjtu.edu.cn 9pt font, Arial, Italics- Leave 3 blank lines (at 9pt font setting) before abstract, no line between abstract and keywords.- The given name on the left, surname on the right and in capital.- Author information should include: institution/company, city & postal code, countryAbstract (9pt font, Arial, Bold): The first section of the paper should be a single paragraph abstract outlining the aims, scope and conclusion of the paper. While no word limit is imposed, authors are suggested to prepare an abstract length of around 300 words. 9pt font, Times New RomanKeywords: Suggest approximately 4-8 keywords for indexing purposes (spaced by semicolon)- Leave 3 blank lines (at 9pt font setting) between keywords and main text.

Set the main body as double columns: column width: 6.25cm, column space: 0.5cm.1 Introduction 10.5pt Font, Arial, Bold, first letter in capital.- Leave 1 blank line (at 9pt font setting)(The first paragraph in each section should not be indented)The classical theory of railway vehicle dynamics (Wickens, 2003; Grag and Dukkipati, 1984) (Reference should be cited in the format of (Author’s surname, year)) usually focuses on the railway vehicle itself as the analysis object without consideration of…

(The other paragraphs in each section should be indented)Vibrations of the vehicle can be transmitted to the track via the wheel-rail contact and excite vibrations of the elastic track structure, which can in reverse influence the vibrations of the vehicle…- Leave 2 blank line (at 9pt font setting).-2 Theoretical model

A vertical and lateral coupling model for a freight car with three-piece bogies and a ballasted track was published in an early paper by the author in 1996 (Zhai, 1996). A similar model for the vertical and lateral dynamics of the wagon-track system was presented by Sun et al in 2003 (Sun et al. 2003) (For more than 2 authors, the citation format should be (First author’s surname et al. year))…- Leave 1 blank line (at 9pt font setting).

2.1 Three-dimensional vehicle-track coupled model Times New Roman, 9pt Font, Bold, ItalicsFig. 1 illustrates the various components of the three-dimensional vehicle-track model, in which subsystems describing the vehicle and the track are spatially coupled by the wheel-rail interface.- Leave 0.5 blank line (at 9pt font setting).V

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Fig. 1 3-dimensional vehicle-track coupled model (elevation) Times New Roman, 9pt Font, Bold, left justified- Leave 0.5 blank line (at 9pt font setting)

In the vehicle sub-model, the car body is supported on two double-axle bogies at each end. The bogie frames are linked with the

First International Conference on Rail TransportationChengdu, China, July 10-12, 2017

wheelsets through the primary suspensions and linked with the car body through the secondary suspensions. ….

2.2 Equations of motion - Leave 0.5 blank line (at 9pt font setting).2.2.1 Equations of motion of vehicle Times New Roman, 9pt Font, left justifiedBy using the system of coordinates moving along the track with vehicle speed, the equations of motion of the vehicle subsystem can be easily derived according to D’Alembert’s principle, which can be described in form of second order differential equations in the time domain:- Leave 0.5 blank line (at 9pt font setting)

(1)

- Equations should be numbered.- Leave 0.5 blank line (at 9pt font setting).where ……

3 System excitation

As we know, the vehicle-track coupled vibrations are mainly excited by irregularities on the surfaces of wheels and rails. Generally, there are two types of geometric irregularities existing at the wheel-rail system. The one type is specific irregularities such as the wheel flat, the out-of-round wheel, the dipped rail-joint, and the rail corrugation, etc., which has been widely discussed in the literature (Zhu et al. 2015a, b) (References from the same author(s) published in the same year should be followed with lowercase letters: 2015a, 2015b)…

Table 1 gives the values of these parameters for the CR speed-raised railway lines such as the Beijing―Shanghai line. Figure 12 compares the CR track spectrum with the AAR track spectra. It can be seen from figure 12(a) that the rail vertical profile irregularities…

- Leave 0.5 blank line (at 9pt font setting)Table 1 Values of parameters of the Chinese railway mainline track spectrum Times New Roman, 9pt Font, Bold, left justified- Leave 0.5 blank line (at 9pt font setting).

Parameter A B C D E F G

Left rail vertical 1.1029 -1.4709 0.5941 0.8480 3.8016 -0.2500 0.0112

Right rail vertical 0.8581 -1.4607 0.5848 0.0407 2.8428 -0.1989 0.0094

Left rail alignment 0.2244 -1.5746 0.6683 -2.1466 1.7665 -0.1506 0.0052

Right rail alignment 0.3743 -1.5894 0.7265 0.4353 0.9101 -0.0270 0.0031

Cross-level 0.1214 -2.1603 2.0214 4.5089 2.2227 -0.0396 0.0073

8 Conclusions

A framework has been systematically presented in this paper for investigating the overall dynamics of the vehicle-track system. A three-dimensional vehicle-track coupled model has been established, in which the vehicle subsystem and the track subsystem are coupled through a spatial wheel-rail coupling model that considers the rail vibrations in vertical, lateral and torsional directions.

Acknowledgement

This work was supported by the National Key Basic Research Program of China (973 Program) (Grant No. 2013CB036202).

References- Leave 1 blank line (at 9pt font setting)Garg, V. K., and Dukkipati, R. V. (1984).

“Dynamics of Railway Vehicle Systems.” Academic Press, Canada.

Sun, Y. Q., Dhanasekar, M., and Roach, D. (2003). “A three-dimensional model for the lateral and vertical dynamics of wagon-track systems.” Journal of Rail and Rapid Transit. 217, 31-45.

Wickens, A. H. (2003). “Fundamentals of Rail Vehicle Dynamics: Guidance and Stability.”

First International Conference on Rail TransportationChengdu, China, July 10-12, 2017

Swets & Zeitlinger Publishers.Zhai, W. M., Cai, C. B., and Guo, S. Z. (1996).

“Coupling model of vertical and lateral vehicle/track interactions.” Vehicle System Dynamics, 26(1): 61-79.

Zhu, S., Cai, C., and Spanos, P.D. (2015a). “A nonlinear and fractional derivative viscoelastic model for rail pads in the dynamic analysis of coupled vehicle – slab track systems.” Journal of Sound Vibration, 335, 304-320.

Zhu, S., Yang, J., Yan, H., Cai, C., and Zhang, L., (2015b). “Low-frequency vibration control of floating-slab tracks using dynamic vibration absorber.” Vehicle System Dynamics, 53(9): 1296-1314.

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