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Vibration response of beams supported by finite-thickness elastic foundation under a moving concentrated force

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Abstract

This paper derives the motion equation for a Winkler foundation beam considering the movement of a finite-thickness soil mass under a moving concentrated force. The decay function of foundation displacement is introduced to facilitate this analysis. Using the modal superposition method, displacement formulas for both the forced and free vibration stages of the finite beam are obtained, considering a moving concentrated force. Through numerical calculations and parametric analysis, this study assesses the impact of soil mass, soil damping, and subgrade reaction coefficient on the vibration response of an Euler-Bernoulli beam. The results demonstrate that an increase in soil mass significantly reduces the critical velocity. The effect of soil mass motion on the beam's vibration response is closely tied to the moving speed of the load. Additionally, as soil damping increases, both the vibration cancellation phenomenon and resonance are suppressed. The subgrade reaction coefficient prevents the occurrence of a complete vibration cancellation point in the elastic foundation beam system.

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Acknowledgments

This research was supported by the National Natural Science Foundation of China (Project no. 11502072), the Young-backbone Teacher Foundation of Colleges and Universities of Henan Province (no. 2019GGJS076), and the Key R&D and Promotion Special Project in Henan Province-Science and Technology Research Project (no. 212102310946).

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Authors and Affiliations

  1. School of Civil Engineering and Architecture, Henan University of Science and Technology, Luoyang, Henan, 471023, China

    Jianjun Ma, Ju Wang, Chaosheng Wang, Da Li & Ying Guo

  2. Engineering Technology Research Center of Safety and Protection of Buildings of Henan Province, Luoyang, Henan, 471023, China

    Jianjun Ma & Da Li

Authors
  1. Jianjun Ma
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  2. Ju Wang
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  3. Chaosheng Wang
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  4. Da Li
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  5. Ying Guo
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Correspondence to Jianjun Ma.

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Jianjun Ma received his Ph.D. in engineering from the School of Civil Engineering, Hunan University in 2013. He is a Professor and the Associate Dean in the School of Civil Engineering and Architecture at Henan University of Science and Technology. His research interests include the nonlinear dynamic response analysis of soil-structure interaction systems.

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Ma, J., Wang, J., Wang, C. et al. Vibration response of beams supported by finite-thickness elastic foundation under a moving concentrated force. J Mech Sci Technol 38, 595–604 (2024). https://doi.org/10.1007/s12206-024-0108-y

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  • DOI: https://doi.org/10.1007/s12206-024-0108-y

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