NATURAL VIBRATION OF A BEAM—WATER INTERACTION SYSTEM
NATURAL VIBRATION OF A BEAM—WATER INTERACTION SYSTEM
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DOI：
10.1006/jsvi.1996.0662
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发表时间：
1997-01
影响因子：
4.7
通讯作者：
J. Xing;W. Price;M. Pomfret;L. Yam
中科院分区：
文献类型：
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作者：
J. Xing;W. Price;M. Pomfret;L. Yam
研究了柔性梁-水相互作用系统的动力学行为。耦合系统在水域中承受无限远处的无扰动边界条件，在自由表面上承受零表面波或线性表面扰动条件。使用变量分离方法分析了描述系统行为的控制方程并给出了它们的解。推导了梁-水系统自振特征值方程，并获得了每种边界条件组合的精确解。计算表明，在水域无限远无扰动条件下，耦合动力系统的固有频率低于柔性干梁的固有频率，表明水对梁的影响具有附加质量的作用。进一步表明，自由表面波扰动在耦合系统较低频率区域对振动特性的确定起着更重要的作用，并且流体压缩性在频率较高时影响更大。推导了流固耦合系统的固有振动形式的正交关系，并讨论了Sommerfield [1]提出的无限远辐射条件下耦合系统的情况。
The dynamical behaviour of a flexible beam-water interaction system is examined. The coupled system is subject to an undisturbed boundary condition at infinity in the water domain and a zero surface wave or linear surface disturbance condition on the free surface. The governing equations describing the behaviour of the system are analyzed by using the separation of variables method and their solutions presented. The eigenvalue equation of the natural vibration of the beam-water system is derived and exact solutions for each combination of boundary conditions are obtained. Calculations show that for the undisturbed condition at infinity in the water domain, the natural frequencies of the coupled dynamic system are lower than those of the flexible dry beam, indicating that the influence of water on the beam has the effect of an additional mass. It is further shown that the free surface wave disturbance plays a more important role in the determination of vibration characteristics in the lower frequency region of the coupled system and that fluid compressibility is more influential and higher frequencies. The orthogonality relation of the natural vibration forms of the coupled fluid-structure interaction system are derived and the case of this coupled system subject to the radiation condition at infinity proposed by Sommerfield [1] is discussed.