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首页> 外文期刊>Thermal engineering >Study of Torsional Vibrations of Turbomachine Shafts: Part 1. Algorithm Optimization for the Determination of the Parameters of Natural and Forced Torsional Vibrations of Shafts
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Study of Torsional Vibrations of Turbomachine Shafts: Part 1. Algorithm Optimization for the Determination of the Parameters of Natural and Forced Torsional Vibrations of Shafts

机译:涡轮机轴的扭转振动研究:第1部分算法优化轴自然和强制扭转振动参数的优化

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This article is concerned with the issues of the development and optimization of algorithms for the control and calculation of the torsional vibration parameters of turbomachine shaftings. For the control of shaft torsional vibrations, the discrete phase method (DPM) is used. Depending on the natural shafting vibration forms determined by calculation, the necessary number of informational surfaces (control cross-sections) with labels, which are alternating crest–valley pairs (“gears”), or holes in special perforated disks, are made along its length. The DPM features that must be considered when using it for the control of the torsional vibration parameters are observed. It is shown that the said method can only determine the mean integral angular speed values at angles of rotation of a rotor between labels in informational cross-sections, but it does not provide the direct instantaneous measurement of the shaft torsional vibration parameters. The approximation of the instantaneous torsional vibration parameters by their mean integral values leads, in case when the fast Fourier transform (FFT) is used, to significant errors, especially in the higher harmonics range. In this case, the accuracy of the angular vibration spectrum determination depends significantly on the conversion order, i.e., on the number of labels in an informational cross-section in fact. It is noted that additional errors of the FFT algorithms are caused by the use of data with nonconstant discretization frequency (data on a variable grid). The problems of the DPM determination of the harmonic amplitudes multiple to the rotation frequency (order harmonics) are discussed. It is shown that they can be determined only using angular masks of informational cross-sections. In addition, angular masks that are in compliance with the established rules help to significantly decrease the label pitch difference effect on the calculation results for the torsional vibration parameters. The algorithms for the conversion of the measurement results are presented. The relations for the determination of the angular amplitudes (swirl angles) of a shaft in control cross-sections are obtained with consideration of the chosen number of labels and the torsional vibration frequency. Examples of the results for the numerical modeling and analysis of shaft torsional vibrations using the proposed algorithms are given.
机译:本文涉及用于控制和计算涡轮机轴的扭转振动参数的算法的开发和优化问题。为了控制轴扭转振动,使用离散相位方法(DPM)。根据通过计算确定的天然轴系振动形式,具有标签的必要数量的具有标签,其是交替的Crest-Valley对(“齿轮”)或特殊穿孔盘中的孔沿其长度。观察到在使用时必须考虑的DPM功能,以控制扭转振动参数。结果表明,所述方法只能确定在信息横截面中标签之间转子之间的转子角度的平均积分角速度值,但是它不提供轴扭转振动参数的直接瞬时测量。当使用快速傅里叶变换(FFT)时,通过其平均积分值的瞬时扭转振动参数的近似值,以显着的误差,尤其是在更高的谐波范围内。在这种情况下,角度振动频谱测定的精度在显着的转换顺序上显着取决于信息横截面中的标签数。注意,FFT算法的附加误差是由使用具有非正直离散化频率的数据(可变网格上的数据)引起的。讨论了DPM确定谐振幅度到旋转频率的谐波幅度(顺序谐波)的问题。结果表明,它们只能使用信息横截面的角度掩模来确定。此外,符合既定规则的角掩模有助于显着降低对扭转振动参数的计算结果的标签间距差异。提出了用于转换测量结果的算法。通过考虑所选择的标签和扭转振动频率,获得对控制横截面中的轴的角度幅度(旋转角度)的关系。给出了使用所提出的算法的轴扭转振动的数值建模和分析结果的实例。

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