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Nonlinear dynamic responses of functionally graded tubes subjected to moving load based on a refined beam model

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Abstract

In the paper, basing on a refined beam model and considering the effects of thermal and elastic foundation, the nonlinear dynamic responses of functionally graded tubes applied to a moving load which keeps at a constant velocity are studied. This refined beam model is expanded by Laurent series expansion which can fulfill the shear stress on the inner and outer surfaces. The whole governing equations are obtained by Hamilton’s principle, and solved by Galerkin method and Newmark method. In the numerical examples, the effects of transverse shear deformation, geometric nonlinearity, functionally graded index, inner radius, temperature, elastic foundation stiffness, and velocity of moving load on the dynamic responses of FGM tubes are discussed. For present beam model, it is more suitable and convenient to analyze the nonlinear dynamic responses of FGM tubes with circular cross section subjected to a moving load, especially for exact stress analysis.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 11272117 and the National Science Foundation for Young Scientists of China under Grant No. 11402082.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, People’s Republic of China

    Yang Chen & Yiming Fu

  2. Department of Engineering Mechanics, College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, People’s Republic of China

    Yang Chen & Yiming Fu

  3. Department of Biomedical Engineering and Mechanics, Virginia Tech, Blacksburg, VA, 24061, USA

    Jun Zhong

  4. School of Traffic and Transportation Engineering, Central South University, Changsha, 410082, People’s Republic of China

    Yingli Li

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  1. Yang Chen
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  2. Yiming Fu
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Correspondence to Yang Chen.

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Chen, Y., Fu, Y., Zhong, J. et al. Nonlinear dynamic responses of functionally graded tubes subjected to moving load based on a refined beam model. Nonlinear Dyn 88, 1441–1452 (2017). https://doi.org/10.1007/s11071-016-3321-0

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  • DOI: https://doi.org/10.1007/s11071-016-3321-0

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