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Vertical–Horizontal–Rocking Vibrations of Rigid Foundations of Arbitrary Shape on Poroelastic Layer

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Abstract

Purpose

The vertical–horizontal–rocking vibrations of rigid foundations of arbitrary shape resting on a poroelastic layer are studied in this paper. The poroelastic layer consists of a finite thickness overlying a rigid base. A foundation is subjected to time-harmonic vertical, horizontal and moment loading.

Procedure

The interaction problem is formulated by employing a discretization technique based on the rigid body displacement boundary conditions at the soil–foundation contact surface and the displacement influence functions of a poroelastic layer. The discretization method used in this paper yields a flexibility equation system for the contact traction at the soil–foundation contact area.

Results

Selected numerical results for the vertical, horizontal, and rocking compliances of rigid foundations of arbitrary shape are presented to portray the effects of the foundation shape, the finite thickness of a poroelastic layer, and the poroelastic properties on the dynamic interaction problem.

Conclusion

The results show that the influences of the foundation shape, the finite thickness of a poroelastic layer, and the poroelastic properties are significant on the vertical, horizontal, and rocking compliances.

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Data Availability

The data and materials in this paper are available.

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Acknowledgements

The work was supported by Faculty of Engineering Research Fund, Thammasat University.

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Contributions

SK acquired supervision, methodology, software and contributed to investigation and data curation, conceptualization, writing—original draft. CT acquired methodology, and provided resources and contributed to writing—review and editing. VQL provided resources and contributed to writing—review and editing. LZM provided resources and contributed to writing—review and editing.

Corresponding author

Correspondence to Suraparb Keawsawasvong.

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Keawsawasvong, S., Thongchom, C., Lai, V.Q. et al. Vertical–Horizontal–Rocking Vibrations of Rigid Foundations of Arbitrary Shape on Poroelastic Layer. J. Vib. Eng. Technol. 9, 1447–1461 (2021). https://doi.org/10.1007/s42417-021-00307-9

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  • DOI: https://doi.org/10.1007/s42417-021-00307-9

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