Analytical Solution of Earthquake-Induced Hydrodynamic Pressure on Arrays of Circular Cylinders Considering High-Order Scattered Waves
Publication: Journal of Engineering Mechanics
Volume 147, Issue 9
Abstract
The earthquake-induced pressures on arrays of cylinders have received less concern, although pile groups have been widely adopted in real practice. This paper develops an analytical method to investigate the interaction of water with arrays of rigid circular cylinders subjected to horizontal ground motion. According to seabed and surface boundary conditions and using the variable separation method, the three-dimensional governing equation of water is first transformed to a two-dimensional Helmholtz equation in the -plane and analytical vertical modes in -direction. Then, the analytical solution of the hydrodynamic pressures on arrays of cylinders is deduced. This analytical solution includes the radiated wave pressures generated by each cylinder due to the ground motion, first-order scattered wave pressures due to the radiated waves, and high-order scattered wave pressure due to diffracted waves. The finite-element method is employed to validate the present analytical solution. The results show that the analytical solution agrees well with the numerical solution. The proposed method is finally used to investigate the earthquake-induced hydrodynamic forces on linear arrays of circular cylinders.
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Data Availability Statement
No data were used to support this study.
Acknowledgments
This work was jointly funded by the National Natural Science Foundation of China (52078010 and 51421005) and the Ministry of Education Innovation Team of China (IRT_17R03). Their financial support is gratefully acknowledged.
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Published In
Journal of Engineering Mechanics
Volume 147 • Issue 9 • September 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jun 19, 2020
Accepted: Mar 19, 2021
Published online: Jun 28, 2021
Published in print: Sep 1, 2021
Discussion open until: Nov 28, 2021
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