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STABILITY LIMITS OF A SELF-EXCITED TORSIONAL VIBRATION SYSTEM

机译:自激扭转振动系统的稳定性极限

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Self-excited vibrations may be encountered in drive trains when friction loads decrease with increasing sliding velocity present in the system. For this reason, some types of high speed centrifuges may suffer from torsional instabilities which might cause violent torsional vibrations, excessive wear and degraded performance. A solution to such problems can be achieved by a properly designed vibration absorber. This contribution deals with a centrifuge system that can be reduced to a minimal torsional vibration model of three degrees of freedom. The non-linear self-excitation mechanism is acting between two main masses of the model and can be linearized by a viscous element with negative damping coefficient. Depending on the location of a vibration absorber and the level of positive damping provided, the system may behave stable or unstable. To investigate the system a suitable linearized model is established, and a damped eigenvalue analysis is carried out to decide on the linear stability limit of the torsional vibration behavior. This numerical approach is extended and stability maps are calculated for ranges of various system parameters. Different configurations are investigated to study the effectiveness of measures to prevent the system from becoming unstable. Numerical simulation is employed to analyze the system in the time domain and confirm the results obtained from the stability analysis. Aside from conventional tuning of the absorber parameters a small and isolated region of stability was found that allows to design an optimized small-sized absorber.
机译:当摩擦载荷随着系统中存在的滑动速度的增加而降低时,传动系统可能会遇到自激振动。因此,某些类型的高速离心机可能会出现扭转不稳定性,这可能会导致剧烈的扭转振动,过度磨损和性能下降。通过适当设计减振器可以解决这些问题。该贡献涉及离心机系统,该系统可以简化为三个自由度的最小扭转振动模型。非线性自激机制作用于模型的两个主要质量之间,并且可以通过具有负阻尼系数的粘性元素来线性化。根据减震器的位置和所提供的正阻尼水平,系统可能会表现稳定或不稳定。为了研究该系统,建立了合适的线性化模型,并通过阻尼特征值分析来确定扭转振动行为的线性稳定性极限。扩展了此数值方法,并针对各种系统参数的范围计算了稳定性图。研究了不同的配置,以研究防止系统不稳定的措施的有效性。通过数值模拟对系统进行时域分析,并验证了稳定性分析的结果。除了常规的吸收器参数调整外,还发现了一个小的隔离区域,可以设计出优化的小型吸收器。

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