# [1]张海涛,孙蓓蓓.容器匀加速运动状态下液体大幅晃动的解析计算[J].东南大学学报(自然科学版),2018,48(2):207-212.[doi:10.3969/j.issn.1001-0505.2018.02.003] 　Zhang Haitao,Sun Beibei.Analytic calculation of large-amplitude liquid sloshing in tank moving in uniform acceleration motion[J].Journal of Southeast University (Natural Science Edition),2018,48(2):207-212.[doi:10.3969/j.issn.1001-0505.2018.02.003] 点击复制 容器匀加速运动状态下液体大幅晃动的解析计算() 分享到： var jiathis_config = { data_track_clickback: true };

48

2018年第2期

207-212

2018-03-20

## 文章信息/Info

Title:
Analytic calculation of large-amplitude liquid sloshing in tank moving in uniform acceleration motion

1东南大学机械工程学院, 南京 211189; 2南昌大学机电工程学院, 南昌 330031
Author(s):
1School of Mechanical Engineering, Southeast University, Nanjing 211189, China
2School of Mechatronics Engineering, Nanchang University, Nanchang 330031, China

Keywords:

O353.1
DOI:
10.3969/j.issn.1001-0505.2018.02.003

Abstract:
For forced sloshing in a rectangular tank moving in a constant acceleration, an analytic method was proposed to solve analytical approximate solutions of fluid velocity potential and free surface elevation functions based on the nonlinear vibration theory. Nonlinear factors of sloshing and effects on external parameters were analyzed. Sloshing equations were non-dimensionalized, then transformed into some linear partial differential equations by the small parameter method. A variables separation method was used to solve these equations. Main components of nonlinear terms on the free surface elevation and fluid velocity potential functions at the bottom of the tank were revealed by expressions of analytical solutions. The analysis result shows that nonlinearity of sloshing is proportional to the square of the accelerated speed. The fluctuation of the filling rate can change the natural frequency of linear sloshing, and then make an impact to the analytical approximate solutions. The impact is depended on the slope of the natural frequency curve.

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