Earthquake analysis of axisymmetric towers partially submerged in water
Earthquake analysis of axisymmetric towers partially submerged in water
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DOI：
10.1002/eqe.4290030303
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发表时间：
1974
影响因子：
4.5
通讯作者：
C. Liaw;A. Chopra
中科院分区：
文献类型：
--
作者：
C. Liaw;A. Chopra
提出了一种部分浸没在水中的轴对称塔对地震动响应的分析方法。该塔被理想化为有限元系统。流体动力学项通过求解拉普拉斯方程来确定，在适当的边界条件下控制不可压缩流体的动力学。对于圆柱形塔，这些解是作为边值问题的显式数学解而获得的；而对于具有非圆柱形外表面的塔，它们是通过有限元方法获得的。对地震地面运动的响应是通过运动方程的逐步积分来确定的。通过对两个实际进水塔的分析来说明通过该方法获得的结果。这些分析所需的计算时间短，表明该方法非常有效。该公式的有效性在于避免使用子结构方法对大型系统进行分析，并利用了一个重要特征，即结构对地震地面运动的响应本质上包含在周围没有水的塔的前几种振动模式中。
A method for analysis of response of axisymmetric towers partly submerged in water to earthquake ground motion is presented. The tower is idealized as a finite element system. The hydrodynamic terms are determined by solving the Laplace equation, governing the dynamics of incompressible fluids, subject to appropriate boundary conditions. For cylindrical towers, these solutions are obtained as explicit mathematical solutions of the boundary value problems; whereas they are obtained by the finite element method in case of towers with non-cylindrical outside surface. The response to earthquake ground motion is determined by step-by-step integration of the equations of motion. Analyses of two actual intake towers are presented to illustrate results obtained by this method. The small computation times required for these analyses demonstrate that the method is very efficient. The effectiveness of this formulation lies in avoiding the analysis of a large system by using a substructure approach and in exploiting the important feature that structural response to earthquake ground motion is essentially contained in the first few modes of vibration of the tower with no surrounding water.