微重力环境下刚液耦合系统液体晃动混沌现象研究  

NONLINEAR COUPLED DYNAMICS OF LIQUID-FILLED CYLINDRICAL CONTAINER IN MICROGRAVITY

作　　者：岳宝增[1] 杨旦旦[1] 吴文军[1] 

机构地区：[1]北京理工大学宇航学院力学系,北京100081

出　　处：《动力学与控制学报》2013年第4期306-313,共8页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11072030)~~

摘　　要：微重力下,柱形贮箱内液体晃动的速度势模态和表面位移模态难以解析表达,为揭示液-刚耦合运动的非线性特性,不失一般性地用常重力下液体晃动的速度势模态和表面位移模态近似表示微重力下液体晃动的速度势模态和表面位移模态.用泰勒级数展开法分析了微重力下柱形贮箱内的液体晃动,运用Lagrange方法导出了微重力下贮箱内液体与结构耦合系统的无量纲动力学方程组,并用Matlab软件对该方程组进行数值计算,发现当系统稳定时,面内、外模态分别具有同类的稳态动力学行为,包括静止、周期运动、准周期运动和混沌运动;在不同的外激励参数下,面内、外模态的稳态动力学行为发生变化.It is difficult to express analytically potential mode shapes and free surface mode shapes of sloshing liquid in cylindrical container in microgravity. To discover nonlinear behaviors, generally, potential mode shapes and free surface mode shapes in normal gravity are taken to approximate those in microgravity. The sloshing of liquid in cylindrical container in microgravity is analyzed using mode expanding method. Dimensionless form of nonlinear dynamic equations of the fluid-structure coupling system are derived by Lagrange principle and numeri- cally solved. It is found that this coupled system presents resonance in some ranges of parameters of the external excitation. If the system does not resonate, in-plane modes and out-plane modes behave respectively the same kind stable motion and their types of stable motion change when parameters of the external excitation are differ- ent. These types of stable motion contain stillness, periodic motion, quasi-periodic motion and chaotic motion.

关 键 词：微重力 非线性晃动 耦合动力学 稳态运动 

分 类 号：O313[理学—一般力学与力学基础] O415.5[理学—力学]