圆柱形贮箱液晃系统稳定性边界分析
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摘要
本文研究了纵向激励下液晃系统的稳定性边界.首先利用等效摆模型获得纵向激励下液体晃动的等效动力学Mathieu方程,然后利用摄动法得到随阻尼、储液高度及贮箱直径变化时的液晃系统的稳定区域.结果表明,液体晃动阻尼、储液量及贮箱尺寸对晃动稳定性具有显著影响.
This paper studied the sloshing stability of a liquid-filled cylindrical tank subjected to longitudinal excitation.A pendulum model is used to obtain equivalent dynamics Mathieu equation of the liquid sloshing under the longitudinal excitation.Based on the perturbation method,the stability boundaries are then obtained with the variation of the damping,liquid height and diameter of the tank.The results show that the damping,the liquid height and the diameter of tank have an important effect on stability boundaries.
This paper studied the sloshing stability of a liquid-filled cylindrical tank subjected to longitudinal excitation.A pendulum model is used to obtain equivalent dynamics Mathieu equation of the liquid sloshing under the longitudinal excitation.Based on the perturbation method,the stability boundaries are then obtained with the variation of the damping,liquid height and diameter of the tank.The results show that the damping,the liquid height and the diameter of tank have an important effect on stability boundaries.
引文
1 朱昶帆,唐国安,张美艳.考虑推进剂晃动的火箭液固耦合分析的比拟算法.动力学与控制学报,2014,12(3):239~242(Zhu C F,Tang G A,Zhang M Y.The analogy method to coupling analysis of rockets considering propellant sloshing.Journal of Dynamics and Control,2014,12(3):239~242(in Chinese))
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6 邓明乐,岳宝增,黄华.液体大幅晃动类等效力学模型研究.宇航学报,2016,37(6):631~638(Deng M L,Yue B Z,Huang H.Study on the equivalent mechanical model for large amplitude slosh.Journal of Astronautics,2016,37(6):631~638(in Chinese))
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8 Kang J Y,Oh H S.Stability of fluid motion in a vehicle subject to harmonic excitations.AIAA/AAS Astrodynamics Specialist Conference and Exhibit,2006:21~24
9 李青.充液挠性系统动力学分析及在航天工程中的应用研究[博士论文].北京:清华大学,2010(Li Q.Dynamic analysis of liquid-filled flexible system and its application studies on aerospace engineering[PhD Thesis].Beijing:Tsinghua University,2010(in Chinese)
10 Kana D D.Validated spherical pendulum model for rotary liquid slosh.Journal of Spacecraft&Rockets,2015,26(3):188~195
11 钟顺,陈予怒.工程充液腔体中液体非线性晃动模型及混沌分析.中国科学:物理学力学天文学,2013,43(4):372~379(Zhong S,Chen Y S.Modeling and chaos of the liquid nonlinear sloshing in the engineering liquidfilled cavity.Science China Physics,Mechanics&Astronomy,2013,43(4):372~379(in Chinese))
12 Stephen J J,Sannasiraj S A,Sundar V.Numerical simulation of sloshing in a rectangular tank under combined horizontal,vertical and rotational oscillations.Proceedings of the Institution of Mechanical Engineers Part M Journal of Engineering for the Maritime Environment,2016,230(1):95~113
13 王为,夏恒新,李俊峰等.半球形容器中液体自由晃动非线性现象的实验研究.清华大学学报(自然科学版),2008,48(11):2009~2012(Wang W,Xia H X,Li J F,et al.Experimental investigation of nonlinear liquid sloshing in a hemispherical container.Tsinghua Univ(Science and Technology),2008,48(11):2009~2012(in Chinese))
14 Yue B Z,Wang Z.Nonlinear phenomena of three-dimensional liquid sloshing in microgravity environment.Science Bulletin,2006,51(20):2425~2431
2 Shageer H,Tao G.Modeling and adaptive control of spacecraft with fuelslosh:overview and case studies.In:AIAA Guidance,Navigation and Control Conference and Exhibit,2007:1~19
3 Abramson H N.Thedynamic behavior of liquids in moving containers.Applied Mechanics Reviews,1966,16(7):199~225
4 Ibrahim R A.Liquid sloshing dynamics:theory and applications.New York:Cambridge University Press,2005:320~362
5 岳宝增.液体大幅晃动动力学.北京:科学出版社,2011:1~142(Yue B Z.Dynamics of large amplitude liquid slosh.Beijing:Science Press,2011:1~142(in Chinese))
6 邓明乐,岳宝增,黄华.液体大幅晃动类等效力学模型研究.宇航学报,2016,37(6):631~638(Deng M L,Yue B Z,Huang H.Study on the equivalent mechanical model for large amplitude slosh.Journal of Astronautics,2016,37(6):631~638(in Chinese))
7 夏恒新,宝音贺西,郑亚.多腔充液晃动的等效特性.动力学与控制学报,2007,5(4):346~349(Xia H X,Bao Y H X,Zheng Y.Equivalent characteristics of liquid sloshing in multi-tank.Journal of Dynamics and Control,2007,5(4):346~349(in Chinese))
8 Kang J Y,Oh H S.Stability of fluid motion in a vehicle subject to harmonic excitations.AIAA/AAS Astrodynamics Specialist Conference and Exhibit,2006:21~24
9 李青.充液挠性系统动力学分析及在航天工程中的应用研究[博士论文].北京:清华大学,2010(Li Q.Dynamic analysis of liquid-filled flexible system and its application studies on aerospace engineering[PhD Thesis].Beijing:Tsinghua University,2010(in Chinese)
10 Kana D D.Validated spherical pendulum model for rotary liquid slosh.Journal of Spacecraft&Rockets,2015,26(3):188~195
11 钟顺,陈予怒.工程充液腔体中液体非线性晃动模型及混沌分析.中国科学:物理学力学天文学,2013,43(4):372~379(Zhong S,Chen Y S.Modeling and chaos of the liquid nonlinear sloshing in the engineering liquidfilled cavity.Science China Physics,Mechanics&Astronomy,2013,43(4):372~379(in Chinese))
12 Stephen J J,Sannasiraj S A,Sundar V.Numerical simulation of sloshing in a rectangular tank under combined horizontal,vertical and rotational oscillations.Proceedings of the Institution of Mechanical Engineers Part M Journal of Engineering for the Maritime Environment,2016,230(1):95~113
13 王为,夏恒新,李俊峰等.半球形容器中液体自由晃动非线性现象的实验研究.清华大学学报(自然科学版),2008,48(11):2009~2012(Wang W,Xia H X,Li J F,et al.Experimental investigation of nonlinear liquid sloshing in a hemispherical container.Tsinghua Univ(Science and Technology),2008,48(11):2009~2012(in Chinese))
14 Yue B Z,Wang Z.Nonlinear phenomena of three-dimensional liquid sloshing in microgravity environment.Science Bulletin,2006,51(20):2425~2431