| 全充液弦索系统稳态运动的稳定性研究 |
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| 引用本文： | 程建华,王照林,李俊峰,吴翘哲,李铁成.全充液弦索系统稳态运动的稳定性研究[J].清华大学学报(自然科学版),1998(2). |
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| 作者姓名： | 程建华 王照林 李俊峰 吴翘哲 李铁成 |
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| 作者单位： | 清华大学,工程力学系,北京,100084 |
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| 基金项目： | 国家自然科学基金,高等学校博士学科点专项科研基金 |
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| 摘 要： | 应用Ｐｆｅｉｆｅｒ关于全充液腔内液体旋度平均化思想研究全充液弦索系统，使液体旋度仅与时间有关。根据动量定理、动量矩定理和Ｈｅｌｍｈｏｌｔｚ方程建立了系统动力学方程。对于系统的铅垂稳态运动，采用线性化理论和适当的变量代换导出了系统稳态运动的特征值方程，从而获得了研究系统稳态运动的稳定性判据。并指出多数情况下还要借助数值方法来讨论有关特征方程的特征值问题。
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| 关 键 词： | 弦索系统 均匀涡旋 稳态运动 稳定性 |
Stability study of tethered system of a rigid body fully filled with liquid |
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| CHENG Jianhua,WANG Zhaolin,LI Junfeng,WU Qiaozhe,LI Tiecheng.Stability study of tethered system of a rigid body fully filled with liquid[J].Journal of Tsinghua University(Science and Technology),1998(2). |
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| Authors: | CHENG Jianhua WANG Zhaolin LI Junfeng WU Qiaozhe LI Tiecheng |
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| Institution: | CHENG Jianhua,WANG Zhaolin,LI Junfeng,WU Qiaozhe,LI Tiecheng Department of Engineering Mechanics,Tsinghua University,Beijing 100084,China |
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| Abstract: | In this paper, the stability of steady state motion of tethered system of a rigid body fully filled with liquid is studied. The homogeneous vortex theory about fluid is applied to this complex system by using Pfeiffer's method and the vorticity of the liquid is only related to time. According to theorems of momentum and moment of momentum and helmholtz's equation, motion quations of the tethered system are obtained. With the help of the linearization theory and variable exchanges, the characteristic equation is derived about the steady state motion of the system. The stability condition of the steady state motion is got from the roots of the characteristic equation. In most cases, the roots behavior of the characteristic equations is needed to be discussed further by using numerical method. |
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