Analytical solution for earthquake induced hydrodynamic pressure on a circular cylinder in a two-layer fluid
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Analytical solution for earthquake induced hydrodynamic pressure on a circular cylinder in a two-layer fluid Pi-guang Wang 1, 2, Mi Zhao 1, 2, Xiu-li Du 1, 2, Jing-bo Liu 3 1. Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China 2. College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 1000124, China 3. Department of civil engineering, Tsinghua University, Beijing 100084, China (Received March 20, 2019, Revised June 24, 2019, Accepted June 30, 2019, Published online April 30, 2020) ©China Ship Scientific Research Center 2020 Abstract: The analytical method was adopted to investigate the earthquake-induced hydrodynamic pressure on a circular cylinder surrounded by two-layer fluid. Based on the radiation theory, the analytical expressions of hydrodynamic pressure, hydrodynamic force on a rigid circular cylinder were obtained. Then, the dispersion relation for radiation problem in a two-layer fluid, and the added mass and damping coefficients on the circular cylinder in the case were analyzed. The earthquake-induced hydrodynamic forces on the circular cylinder in a two-layer fluid were 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 of 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 two-layer fluid. Lastly, seismic responses of the flexible cylinder in single-layer and two-layer fluid were studied. Some examples show that the seismic responses of the cylinder in two-layer fluid are much larger than these in single-layer fluid. Key words: Circular cylinder, earthquake, hydrodynamic force, surface wave, two-layer fluid
Introduction It is well known that the seismic response of offshore structures surrounded by water should take the water-structure interaction. It has been demonstrated that the hydrodynamic forces due to water-structure interaction may have significant effects on the dynamic responses and the dynamic properties of the offshore structures[1-4]. Therefore, the hydrodynamic forces acting on the offshore structures should be paid more attention for their safety design. The existing studies for earthquake-induced hydrodynamic forces on offshore structures have been mainly focused on the case of a single-layer fluid. Liaw and Chopra[1] investigated the effects of * Project supported by the National Natural Science Foundation of China (Grant No. 51708010, 51678014, and 51878384). Biography: Pi-guang Wang (1985-), Male, Prof., E-mail: [email protected] Corresponding author: Pi-guang Wang E-mail: [email protected]
hydrodynamic forces on the seismic response of cantilever circular cylinders. The authors pointed that water-structure interaction can be conveniently modeled as an ‘added mass’ when surf
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