引用本文: 何烈云, 刘天兰, 王冰睿等. 圆形截面罐体液体晃动的摆锤模型可行性研究. 力学与实践, xxxx, x(x): 1-10.
He Lieyun, Liu Tianlan, Wang Bingrui, et al. Feasibility study on pendulum model for sloshing of fluid in circular section cargo tank trucks. Mechanics in Engineering, xxxx, x(x): 1-10.
 Citation: He Lieyun, Liu Tianlan, Wang Bingrui, et al. Feasibility study on pendulum model for sloshing of fluid in circular section cargo tank trucks. Mechanics in Engineering, xxxx, x(x): 1-10.

## FEASIBILITY STUDY ON PENDULUM MODEL FOR SLOSHING OF FLUID IN CIRCULAR SECTION CARGO TANK TRUCKS

• 摘要: 为研究圆形截面罐体液罐车液体晃动等效摆锤模型的可行性，运用非惯性系下流体Euler方程和均质平面体质心计算公式，构建了液体自由液面倾斜率和质心坐标精确计算模型。得出圆形截面罐体液罐车在横向加速度作用下，液体质心运动轨迹是以罐体截面中心为圆心的一段圆弧，在此基础上提出了一种以液体质心与罐体中心连线为等效摆长的摆锤模型。采用理论计算与CFD（computational fluid dynamics）仿真技术，分别得到相对应条件下的摆锤振动曲线图像。摆锤振动曲线图像表明，将圆形截面罐体液罐车液体晃动视为摆锤振动具有可行性，可以较好地反映出液体晃动变化规律，方便计算液体晃动时对罐体内壁的反作用力。研究结论可为开展液罐车横向稳定性研究提供理论参考。

Abstract: To investigate the feasibility of equivalent pendulum model of sloshing of fluid in a cargo tank truck with a circular cross-section, a precise computational model for the inclination of the liquid free surface and centroid coordinates was constructed by using the fluid Euler equations under a non-inertial system and the centroid calculation formula for homogeneous planar body. It was found that,under the lateral acceleration, the trajectory of the liquid centroid forms a circular arc with the tank cross-section center as its center point.Based on the results, a pendulum model was established with the line connecting the liquid centroid and the tank center as the equivalent pendulum length. Theoretical calculations and Computational fluid dynamics (CFD) simulation-based technique were adopted to obtain pendulum vibration curve images under corresponding conditions respectively.The pendulum vibration curve images indicates the feasibility of considering sloshing of fluid in a tank truck with a circular cross-section as pendulum vibration, effectively reflects the variation patterns of sloshing of liquid and facilitates the calculation of the reaction forces exerted on the tank inner wall during liquid sloshing. The conclusion of research provides a theoretical basis for studying the roll stability of a cargo tanker truck.

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