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Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load

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Abstract

This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating surface. The complex modulus is used to describe the hysteretic damping of the elastic homogeneous coating and half-plane. Using the Helmholtz decomposition and Fourier integral transform technique, we derive the stresses and displacements of the coating and half-plane from Navier’s elasticdynamic equations in the form of complex integrals. Then, the global adaptive quadrature algorithm is exploited to solve the complex integrals numerically. The effects of Young’s modulus ratio, density ratio, coating thickness, loss factor and external excitation frequency are discussed. It is found that the dynamic response of displacements and stresses becomes increasingly oscillatory with the increase in excitation frequency.

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Acknowledgements

The authors wish to acknowledge the financial support on this study from the National Natural Science Foundation of China (No. 11725207).

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Authors and Affiliations

  1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China

    Xiaomin Wang & Liaoliang Ke

  2. School of Mechanical Engineering, Tianjin University, Tianjin, 300350, China

    Liaoliang Ke & Yuesheng Wang

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  1. Xiaomin Wang
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  2. Liaoliang Ke
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  3. Yuesheng Wang
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Correspondence to Liaoliang Ke.

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Wang, X., Ke, L. & Wang, Y. Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load. Acta Mech. Solida Sin. 33, 449–463 (2020). https://doi.org/10.1007/s10338-019-00150-2

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  • DOI: https://doi.org/10.1007/s10338-019-00150-2

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