【摘要】：研究帶有剛性隔板的矩形截面渡槽中液體的微幅線性晃動(dòng)特性。將因隔板而導(dǎo)致的復(fù)雜液體域分割為若干個(gè)形狀簡(jiǎn)單且邊界條件均一的子域,分別研究各子域內(nèi)液體運(yùn)動(dòng)的勢(shì)函數(shù)。利用疊加原理和分離變量法,導(dǎo)出每個(gè)子域內(nèi)液體速度勢(shì)的一般解。根據(jù)液體子域界面處速度和壓力的連續(xù)條件以及自由液面處的表面波條件,得到含有待定系數(shù)的級(jí)數(shù)方程。對(duì)方程作Fourier展開,即可求得液體的固有晃動(dòng)頻率和振型函數(shù)。
[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.
【作者單位】： 南京工業(yè)大學(xué)土木工程學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(11172123)
【分類號(hào)】：TV672.3;TV131
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本文編號(hào)：2396662