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Theoretical Study of S-Wave Passing Through an Elastic Wave Impeding Block in the Unsaturated Soil

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Abstract

Purpose

In the ground vibration control, most of the previous studies focused on the vibration isolation performance of the wave impeding block (WIB) in elastic foundation or saturated soil foundation, while there are few reports on the vibration isolation performance of the WIB in unsaturated soil foundation which is more universal in nature. Therefore, we study the propagation characteristics of S-wave passing through an elastic wave impeding block in the unsaturated soil.

Methods

Based on the propagation theory of elastic waves in unsaturated porous medium and single-phase elastic medium, considering that an elastic wave impeding block with a certain thickness is set in the unsaturated soil foundation, and using the potential function and continuous boundary conditions, the analytical solution of the reflected/transmitted amplitude ratio of S-wave passing through the WIB in the unsaturated soil are derived in this paper. The variation of the reflected/transmitted amplitude ratio with the shear modulus and density of the WIB, incident angle and incident frequency is investigated by parametric studies.

Conclusion

The results showed that incident angle, the shear modulus and density of the WIB have a significant influence on the vibration isolation performance of the WIB in the unsaturated soil foundation. It is verified that the better vibration isolation performance can be obtained by reasonably controlling the shear modulus and density of the WIB.

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Acknowledgements

The authors gratefully acknowledge the financial support of the Chinese Natural Science Foundation (Grant No. 52168053, Grant No. 51978320) and Qinghai Province Science and Technology Department Project (No. 2021-ZJ-943Q), the authors are also grateful to reviewers for them helpful advice and comments.

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Authors and Affiliations

  1. School of Civil Engineering, Qinghai University, Xining, 810016, China

    Jinhui Shu & Qiang Ma

  2. Qinghai Provincial Key Laboratory of Energy-Saving Building Materials and Engineering Safety, Xining, 810016, China

    Qiang Ma

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  1. Jinhui Shu
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  2. Qiang Ma
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Correspondence to Qiang Ma.

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Shu, J., Ma, Q. Theoretical Study of S-Wave Passing Through an Elastic Wave Impeding Block in the Unsaturated Soil. J. Vib. Eng. Technol. 11, 193–206 (2023). https://doi.org/10.1007/s42417-022-00572-2

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  • DOI: https://doi.org/10.1007/s42417-022-00572-2

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