A simple added mass model for simulating elliptical cylinder vibrating in water under earthquake action. (1st May 2019) - Wang, Piguang
Abstract: An accurate added mass model representation for a flexible elliptical cylinder vibrating in water is presented. To accomplish this, the analytical expressions for the hydrodynamic forces on elliptical cylinders are first derived in the elliptical coordinate system. Then, explicit expressions for computing the free vibration response of the elliptical cylinder vibrating in water like natural frequencies and mode shapes are given by solving the coupled differential equations. The expressions for calculating the forced vibration responses of a flexible cylinder surrounded by water are further given. However, the expressions of the exact model are too complicated and require the use of computer program to generate the results. Based on the fundamental frequency reduction rate, a simple formula for the added mass representation is proposed to simulate a flexible elliptical cylinder vibrating in water. The simple formula for evaluating the natural frequencies and the simple model for evaluating the seismic responses of the submerged cylinder are also presented in the study.