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首页> 外文期刊>Ocean Engineering >Free vibration analysis of a variable cross-section column partially immersed in a liquid
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Free vibration analysis of a variable cross-section column partially immersed in a liquid

机译：部分浸入液体的变截面柱的自由振动分析

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摘要

In the present paper, the free vibration analysis of an offshore structure, having the form of a column partially immersed in a liquid, is presented. For convenience, a beam without contacting with water is called the dry beam, while the one partially immersed in water is called the wet beam. The non-uniform dry beam, with circular cross-section, carries a concentrated mass with eccentricity e and rotary inertia J_m,, at its free end, and it rests on a uniform beam - wet beam. The column is modelled as a Bernoulli-Euler beam supported by a translational and rotational springs, at the bottom. For investigating the dynamic behaviour of the structure under consideration, the effect of the translational and rotational elastic supports, the rotary inertia of the concentrated mass and its eccentricity are all taken into account. The analysis of free vibration frequencies and eigenfunctions of the model, presented in this paper, enables one to obtain very accurate results. The roots of the transcendental frequency equations are obtained by means of the improved conventional analytical (closed-form) solution. The non-dimensional frequency coefficients are given in tabular form. Some numerical examples are presented and the influence of different non-dimensional parameters on frequency values is discussed.
机译：在本文中，提出了一种海上结构的自由振动分析，该结构具有部分浸入液体中的圆柱体的形式。为方便起见，未与水接触的光束称为干光束，而部分浸入水中的光束称为湿光束。具有圆形横截面的非均匀干梁在其自由端承载着偏心距为e且旋转惯量为J_m的集中质量，并置于均匀的梁-湿梁上。该柱建模为在底部由平移和旋转弹簧支撑的伯努利-欧拉梁。为了研究所考虑结构的动力学行为，需要考虑平移和旋转弹性支撑的影响，集中质量的旋转惯性及其偏心率。本文介绍的模型的自由振动频率和本征函数分析使人们可以获得非常准确的结果。超越频率方程的根是通过改进的常规分析（闭式）解获得的。无量纲频率系数以表格形式给出。给出了一些数值示例，并讨论了不同的无量纲参数对频率值的影响。

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