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Effect of soil–structure interaction on the nonlinear response of an inextensional beam on elastic foundation

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Abstract

The nonlinear response of a beam on elastic foundation subjected to the harmonic excitation is investigated, and the effect of soil–structure interaction on the primary resonance of the beam is analyzed. Considering the inextensional condition, the nonlinear equation of motion of a beam on elastic foundation is proposed via the Hamilton principle. Then, the method of multiple scales is used to obtain the frequency–response equation and second-order approximate solution of the dynamic response of the beam on elastic foundation. Finally, numerical results are presented to investigate the effects of the second-order moment, foundation models, Winkler parameter and excitation amplitude on the primary resonance of the beam on elastic foundation.

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Authors and Affiliations

  1. School of Civil Engineering, Henan University of Science and Technology, Luoyang, 471023, Henan, People’s Republic of China

    Jianjun Ma, Xiaojuan Gao & Lei Xie

  2. School of Civil Engineering, Hunan University of Science and Technology, Xiangtan, 411201, Hunan, People’s Republic of China

    Jian Peng

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  1. Jianjun Ma
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  2. Jian Peng
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  3. Xiaojuan Gao
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  4. Lei Xie
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Correspondence to Jianjun Ma.

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Ma, J., Peng, J., Gao, X. et al. Effect of soil–structure interaction on the nonlinear response of an inextensional beam on elastic foundation. Arch Appl Mech 85, 273–285 (2015). https://doi.org/10.1007/s00419-014-0918-y

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  • DOI: https://doi.org/10.1007/s00419-014-0918-y

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