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Analytical solution for earthquake induced hydrodynamic pressure on a circular cylinder in a two-layer fluid

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Abstract

The analytical method is adopted to investigate the earthquake-induced hydrodynamic pressure on a circular cylinder surrounded by a two-layer fluid. Based on the radiation theory, the analytical expressions of the hydrodynamic pressure and the hydrodynamic force on a rigid circular cylinder are obtained. Then, the dispersion relation for the radiation problem in a two-layer fluid, and the added mass and the damping coefficients on the circular cylinder are analyzed. The earthquake-induced hydrodynamic forces on the circular cylinder in a two-layer fluid are furtherly investigated. It is founded that the hydrodynamic pressures on the circular cylinder include not only the surface-wave and perturbing wave modes, but also the internal-wave mode. This is quite different from the case in a single-layer fluid. However, the results indicate that the internal-wave mode has little influence on the hydrodynamic forces on the circular cylinder in a two-layer fluid. Lastly, the seismic responses of the flexible cylinder in single-layer and two-layer fluids are studied. Some examples show that the seismic responses of the cylinder in a two-layer fluid are much larger than those in a single-layer fluid.

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Correspondence to Pi-guang Wang.

Additional information

Project supported by the National Natural Science Foundation of China (Grant Nos. 51708010, 51678014 and 51878384).

Biography

Pi-guang Wang (1985-), Male, Ph. D., Professor

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Wang, Pg., Zhao, M., Du, Xl. et al. Analytical solution for earthquake induced hydrodynamic pressure on a circular cylinder in a two-layer fluid. J Hydrodyn 32, 901–913 (2020). https://doi.org/10.1007/s42241-020-0029-x

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  • DOI: https://doi.org/10.1007/s42241-020-0029-x

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