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Nonlinear vibration of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations in thermal environments

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Abstract

Modeling and nonlinear vibration analysis of graphene-reinforced composite (GRC) laminated beams resting on elastic foundations in thermal environments are presented. The graphene reinforcements are assumed to be aligned and are distributed either uniformly or functionally graded of piece-wise type along the thickness of the beam. The motion equations of the beams are based on a higher-order shear deformation beam theory and von Kármán strain displacement relationships. The beam–foundation interaction and thermal effects are also included. The temperature-dependent material properties of GRCs are estimated through a micromechanical model. A two-step perturbation approach is employed to determine the nonlinear-to-linear frequency ratios of GRC laminated beams. Detailed parametric studies are carried out to investigate the effects of material property gradient, temperature variation, stacking sequence as well as the foundation stiffness on the linear and nonlinear vibration characteristics of the GRC laminated beams.

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Acknowledgements

This study was supported by the National Natural Science Foundation of China under Grant 51779138, and the Australian Research Council Grant DP140104156. The authors are very grateful for these financial supports.

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Authors and Affiliations

  1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Hui-Shen Shen

  2. School of Computing, Engineering and Mathematics, Western Sydney University, Locked Bag 1797, Penrith, NSW, 2751, Australia

    Feng Lin & Y. Xiang

  3. Centre for Infrastructure Engineering, Western Sydney University, Locked Bag 1797, Penrith, NSW, 2751, Australia

    Y. Xiang

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  1. Hui-Shen Shen
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  2. Feng Lin
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Correspondence to Hui-Shen Shen.

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Shen, HS., Lin, F. & Xiang, Y. Nonlinear vibration of functionally graded graphene-reinforced composite laminated beams resting on elastic foundations in thermal environments. Nonlinear Dyn 90, 899–914 (2017). https://doi.org/10.1007/s11071-017-3701-0

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  • DOI: https://doi.org/10.1007/s11071-017-3701-0

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