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首页> 外文期刊>Ocean Engineering >A simple added mass model for simulating elliptical cylinder vibrating in water under earthquake action
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A simple added mass model for simulating elliptical cylinder vibrating in water under earthquake action

机译：一种简单的额外的质量模型，用于在地震作用下模拟水中振动振动

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摘要

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.
机译：提出了一种用于柔性椭圆缸振动水中振动的准确的质量模型表示。为了实现这一点，首先在椭圆坐标系中得出椭圆形圆柱体上的流体动力力的分析表达式。然后，通过求解耦合的微分方程，给出用于计算在水中振动的椭圆筒的自由振动响应的明确表达式。进一步给出用于计算被水包围的柔性圆筒的强制振动响应的表达。但是，确切模型的表达式太复杂并且需要使用计算机程序来生成结果。基于基于根的变频率，提出了一种用于添加质量表示的简单公式，以模拟振动水中的柔性椭圆筒。研究还提出了评估自然频率的简单公式和用于评估浸没式气缸的地震反应的简单模型。

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