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Dynamic response of a three-beam system with intermediate elastic connections under a moving load/mass-spring

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Abstract

The objective of this research is to study the dynamic response characteristics of a three-beam system with intermediate elastic connections under a moving load/mass-spring. In this study, the finite Sine-Fourier transform was performed for the dynamic partial differential equations of a simply supported three-beam system (SSTBS) under a moving load and a moving mass-spring, respectively. The dynamic partial differential equations were transformed into dynamic ordinary differential equations relative to the time coordinates, and the equations were solved and the displacement Fourier amplitude spectral expressions were obtained. Finally, based on finite Sine-Fourier inverse transform, the expressions for dynamic response of SSTBS under the moving load and moving mass-spring were obtained. The proposed method, along with ANSYS, was used to calculate the dynamic response of the SSTBS under a moving load/mass-spring at different speeds. The results obtained herein were consistent with the ANSYS numerical calculation results, verifying the accuracy of the proposed method. The influence of the load/mass-spring’s moving speed on the dynamic deflections of SSTBS were analyzed. SSTBS has several critical speeds under a moving load/mass-spring. The vertical acceleration incurred by a change in the vertical speed of SSTBS due to the movement of mass-spring and the centrifugal acceleration produced by the movement of massspring on the vertical curve generated by SSTBS vibration could not be neglected.

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Acknowledgement

The research describedrherein was financially supported by the Fundamental Research Funds for the Central Universities of Central South University No. 2018zzts189, the National Natural Science Foundations of China (Nos. 51408449, 51778630), and the Innovation-driven Plan in Central South University under Grant No. 2015CX006.

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Changsha, 410075, China

    Feng Yulin, Jiang Lizhong & Zhou Wangbao

  2. National Engineering Laboratory for High Speed Railway Construction, Central South University, Changsha, 410075, China

    Feng Yulin, Jiang Lizhong & Zhou Wangbao

Authors
  1. Feng Yulin
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  2. Jiang Lizhong
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  3. Zhou Wangbao
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Correspondence to Zhou Wangbao.

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Supported by: The Fundamental Research Funds for the Central Universities of Central South University under Grant No. 2018zzts189, the National Natural Science Foundations of China under Grant Nos. 51408449 and 51778630, and the Innovation-driven Plan in Central South University under Grant No. 2015CX006

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Yulin, F., Lizhong, J. & Wangbao, Z. Dynamic response of a three-beam system with intermediate elastic connections under a moving load/mass-spring. Earthq. Eng. Eng. Vib. 19, 377–395 (2020). https://doi.org/10.1007/s11803-020-0568-8

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  • DOI: https://doi.org/10.1007/s11803-020-0568-8

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