带隔板的矩形截面渡槽内液体的晃动特性
发布时间：2018-12-31 13:44
【摘要】：研究带有刚性隔板的矩形截面渡槽中液体的微幅线性晃动特性。将因隔板而导致的复杂液体域分割为若干个形状简单且边界条件均一的子域,分别研究各子域内液体运动的势函数。利用叠加原理和分离变量法,导出每个子域内液体速度势的一般解。根据液体子域界面处速度和压力的连续条件以及自由液面处的表面波条件,得到含有待定系数的级数方程。对方程作Fourier展开,即可求得液体的固有晃动频率和振型函数。
[Abstract]:The small amplitude linear sloshing characteristics of liquid in rectangular aqueduct with rigid diaphragm are studied. The complex liquid domain caused by the partition is divided into several subdomains with simple shape and uniform boundary conditions. The potential functions of liquid motion in each subdomain are studied respectively. By using the superposition principle and the method of separating variables, the general solution of liquid velocity potential in each subdomain is derived. According to the continuous condition of velocity and pressure at the interface of liquid subdomain and the condition of surface wave at free surface, the series equation with undetermined coefficients is obtained. The natural sloshing frequency and mode function of the liquid can be obtained by Fourier expansion of the equation.
【作者单位】： 南京工业大学土木工程学院;
【基金】：国家自然科学基金(11172123)
【分类号】：TV672.3;TV131
，
本文编号：2396662
[Abstract]:The small amplitude linear sloshing characteristics of liquid in rectangular aqueduct with rigid diaphragm are studied. The complex liquid domain caused by the partition is divided into several subdomains with simple shape and uniform boundary conditions. The potential functions of liquid motion in each subdomain are studied respectively. By using the superposition principle and the method of separating variables, the general solution of liquid velocity potential in each subdomain is derived. According to the continuous condition of velocity and pressure at the interface of liquid subdomain and the condition of surface wave at free surface, the series equation with undetermined coefficients is obtained. The natural sloshing frequency and mode function of the liquid can be obtained by Fourier expansion of the equation.
【作者单位】： 南京工业大学土木工程学院;
【基金】：国家自然科学基金(11172123)
【分类号】：TV672.3;TV131
，
本文编号：2396662
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