ON THE MECHANISMS OF VIBRATIONAL INSTABILITY IN A CONSTRAINED ROTATING STRING
ON THE MECHANISMS OF VIBRATIONAL INSTABILITY IN A CONSTRAINED ROTATING STRING
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约束旋转弦振动失稳机理研究
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
S. G. Hutton
中科院分区：
文献类型：
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作者：
Jifang Tian;S. G. Hutton
一个相对简单的数学模型，包括一个理想的旋转弦在一点约束，用来发展对不稳定横向振动响应发展的基本物理机制的理解。给出了相互作用的惯性力、阻尼力、弹性力和作用力之间的关系式。通过对这些方程的分析，可以清楚地了解发散和颤振不稳定机制的发展过程中所涉及的物理机制。新的发展包括识别进入旋转系统的能量通量，以及解释由与非旋转约束相互作用引起的周向力的作用。所建立的方程提出了将这种旋转系统在其最低临界速度以上运行时所遇到的不稳定区域最小化的方法。以旋转弦线为例，分析了其受单自由度粘滞阻尼器约束时的失稳特性。
A relatively simple mathematical model involving an idealized rotating string constrained at one point is used to develop an understanding of the basic physical mechanisms that govern the development of unstable lateral vibration response. Equations defining the relationship between the interactive inertial, damping, elastic and applied forces are presented. Analysis of these equations leads to a clear understanding of the physical mechanisms involved in the development of divergence and flutter instability mechanisms. New developments involve the identification of the energy flux into the rotating system and an explanation of the role of circumferential forces caused by interaction with the non-rotating constraint. The equations developed suggest methods for minimizing the instability regions that are encountered in such rotating systems when operating above their lowest critical speed. Numerical examples are presented for the case of a rotating string to illustrate its instability characteristics when constrained by a single degree of freedom viscously damped system.