Earthquake response of submerged circular cylinder
Earthquake response of submerged circular cylinder
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DOI：
10.1016/0029-8018(86)90040-5
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发表时间：
1986
影响因子：
5
通讯作者：
A. N. Williams
中科院分区：
文献类型：
--
作者：
A. N. Williams
用边界积分法计算了穿透地面的竖直圆柱在高频水平地面激励下的动力响应。圆柱体被理想化为具有均匀弯曲刚度和单位长度质量的一维梁，流体假定为线性可压缩的，并经历小幅度的无旋运动。利用可在柱极坐标系中分离的线性可压缩流体流动的格林函数，利用结构的轴对称特性，将表面积分方程组简化为一系列线积分方程组。圆柱体的运动也可以通过适当的格林函数用线积分方程式来描述。然后用数值方法近似求解这两个耦合的线积分方程组，即离散积分区域，用代数方程组代替连续问题，然后用标准的矩阵求逆技术求解。数值算例显示了地面激励频率以及各种几何和材料参数对圆柱体的水动力及相关动力响应的影响。
The boundary integral method is utilized to calculate the dynamic response of a surface-piercing, vertical, circular cylinder subjected to high-frequency horizontal ground excitation. The cylinder is idealized as a one-dimensional beam of uniform flexural rigidity and uniform mass per unit length, the fluid is assumed linearly compressible and to undergo small-amplitude irrotational motion. The axisymmetry of the structure is exploited by utilizing a new Green's function for linearly compressible fluid flow which is separable in the cylindrical polar coordinate system, thus reducing the surface integral equation to a series of line integral equations. The motion of the cylinder may also be described in terms of a line integral equation through an appropriate Green's function. These two coupled line integral equations are then solved approximately by a numerical approach which involves discretising the region of integration and replacing the continuous problems by systems of algebraic equations which are then solved by standard matrix inversion techniques.Numerical examples are presented which show the influence of the frequency of ground excitation and the various geometric and material parameters on the hydrodynamic force and associated dynamic response of the cylinder.