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Fundamental Theories and Analytical Methods for Vibrations of Simply-Supported Beams Under Moving Loads

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Dynamic Interaction of Train-Bridge Systems in High-Speed Railways

Part of the book series: Advances in High-speed Rail Technology ((ADVHIGHSPEED))

Abstract

In this chapter, some fundamental theories and methods for vibration analysis of simply-supported beams under moving loads are presented. The analytical solutions of vibrations induced by a moving concentrated load, a moving harmonic load, and a moving wheel-spring-mass (WSM) load with varying speed are deduced, respectively, and the vibration characteristics of them are investigated in several case studies.

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Author information

Authors and Affiliations

  1. Beijing Jiaotong University, Beijing, China

    He Xia, Nan Zhang & Weiwei Guo

Authors
  1. He Xia
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  2. Nan Zhang
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  3. Weiwei Guo
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Correspondence to He Xia .

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Xia, H., Zhang, N., Guo, W. (2018). Fundamental Theories and Analytical Methods for Vibrations of Simply-Supported Beams Under Moving Loads. In: Dynamic Interaction of Train-Bridge Systems in High-Speed Railways. Advances in High-speed Rail Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-54871-4_2

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  • DOI: https://doi.org/10.1007/978-3-662-54871-4_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-54869-1

  • Online ISBN: 978-3-662-54871-4

  • eBook Packages: EngineeringEngineering (R0)

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