圆环筒贮箱液体绕横轴的有效转动惯量
Effective Rotational Inertia of Liquid in Circular Cylindrical Ring Tank around Horizontal Axis
马斌捷 1王丽霞 1马敬鑫 1周畅 1王竞男1
作者信息
- 1. 北京强度环境研究所,北京 100076
- 折叠
摘要
航天器贮箱内液体绕横轴和纵轴的有效转动惯量参数是飞行控制系统仿真分析的重要基础,本文分析整理了航天器圆环筒形平底贮箱内液体的有效转动惯量计算方法,依据自由液面平底圆环筒贮箱平动和绕质心横向转动激励下的液体晃动力与力矩的解析表达式,推导了激励频率趋于无限大时,液体平动晃动合力作用点所在位置和绕质心的有效转动惯量表达式,并在平底圆筒条件下利用移轴定理,验证了与液体惯性中心所在位置和绕惯性中心有效转动惯量的一致性.分析了贮箱深度和内、外径比对液体转动惯量的影响规律,补充完善了液体转动晃动特性的理论分析成果.
Abstract
The effective moment of inertia parameters of liquid in spacecraft storage tanks around the horizontal and vertical axes are important foundations for simulation analysis of flight control systems.This article presents the calculation method of effective moment of inertia of liquid in spacecraft circular cylindrical flat bottomed storage tanks.Under the condition that excitation frequency tends to infinity,the expressions of acting point of liquid horizontal sloshing resultant force and effective rotational inertia around the center of mass are given.This derivation is based on the analytical expressions of liquid sloshing force and moment under excitation of translation and transverse rotation around the center of mass of free-surface flat-bottomed circular cylindrical tank.Using the parallel-axis theorem,the consistency of derived results with the liquid inertia center and the effective rotational inertia around the inertia center is verified.In this paper,the influence of tank depth and inner/outer diameter ratio on liquid rotational inertia is analyzed,and theoretical analysis results of liquid sloshing characteristics are supplemented and improved.
关键词
液体晃动/圆环筒贮箱/惯性中心/转动惯量Key words
liquid sloshing/circular cylindrical tank/center of inertia/rotational inertia引用本文复制引用
出版年
2024
NETL
NSTL
万方数据