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A reduced time-varying model for a long beam on elastic foundation under moving loads

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Abstract

Dynamics of a long beam on the elastic foundation subjected to moving loads is studied in the present paper. The sliding window technique is used to dynamically truncate the long beam and a reduced time-varying beam system is obtained. The Hamilton’s principle is employed to establish the equations of motion of the reduced system. The variable separation method is adopted to solve dynamical responses of the reduced system. Examples of a long simply supported Timoshenko beam on the nonlinear foundation subjected to a single moving load and multiple loads are included. Numerical results of the reduced model compared with the ones obtained from the moving element model adapted in literature are carried out to show the validity and the good efficiency of the method proposed in the present paper.

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Authors and Affiliations

  1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, 610031, China

    Guiming Mei, Caijin Yang, Shulin Liang, Jiangwen Wang, Dong Zou, Weihua Zhang, Zhong Huang, Shuqi Song, Mengying Tan, Yao Cheng & Bingrong Miao

  2. Institute of Railway Research, University of Huddersfield, Huddersfield, HD1 3DH, UK

    Yunshi Zhao

Authors
  1. Guiming Mei
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  2. Caijin Yang
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  3. Shulin Liang
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  4. Jiangwen Wang
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  5. Dong Zou
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  6. Weihua Zhang
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  7. Yunshi Zhao
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  8. Zhong Huang
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  9. Shuqi Song
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  10. Mengying Tan
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  11. Yao Cheng
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  12. Bingrong Miao
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Corresponding author

Correspondence to Caijin Yang.

Additional information

Recommended by Associate Editor Sungsoo Na

Guiming Mei received the Ph.D. degree in vehicle engineering from Southwest Jiaotong University, Chengdu, China, in 2011. He is currently an Associate Researcher with State Key Laboratory of Traction Power, South-west Jiaotong University. His research interests include optimization design of high-speed pantograph, modeling and dynamics of pantograph-catenary system.

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Mei, G., Yang, C., Liang, S. et al. A reduced time-varying model for a long beam on elastic foundation under moving loads. J Mech Sci Technol 32, 4017–4024 (2018). https://doi.org/10.1007/s12206-018-0801-9

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  • DOI: https://doi.org/10.1007/s12206-018-0801-9

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