THE USE OF CORRELATION DIMENSION IN CONDITION MONITORING OF SYSTEMS WITH CLEARANCE
THE USE OF CORRELATION DIMENSION IN CONDITION MONITORING OF SYSTEMS WITH CLEARANCE
复制标题
DOI：
10.1006/jsvi.1998.2713
复制
发表时间：
2000-03
影响因子：
4.7
通讯作者：
C. Craig;R. Neilson;J. Penman
中科院分区：
文献类型：
--
作者：
C. Craig;R. Neilson;J. Penman
本文通过研究轴承系统中差距变化对关联维数的影响，探讨了嵌入空间和分形维数估计在含间隙系统状态监测中的应用。分析的模型代表了一个弹性支撑的转子和定子，受到激励的不平衡，这是限制在二维线性运动垂直于旋转轴。从全相空间计算中发现，随着转子和定子之间的间隙增加，关联维数的值有明显的减小。因此，通过监测系统的关联维数来确定诸如间隙的变化事件是可行的。采用传统的延迟方法会导致相关维数的估计值低于标准。然而，通过将来自额外的可观察量的值并入用于重构相空间的向量中来修改延迟方法，产生与来自全相空间的结果一致的结果。
In this paper the application of embedding space and fractal dimension estimation to monitor the condition of a system with clearance is considered by examining the effect on the correlation dimension of variations of the gap clearance in a bearing system. The model analysed represents an elastically supported rotor and stator, subject to excitation by an imbalance, which is restricted to two-dimensional linear movement perpendicular to the axis of rotation. From full-phase space calculations it is found that as the clearance between the rotor and stator is increased, there is a discernible decrease in the value of the correlation dimension. Thus, it may be feasible to determine changing events such as gap clearance by monitoring the correlation dimension of the system. Employing the conventional method of delays results in substandard estimates for the correlation dimension. However, modifying the method of delays by incorporating values from an additional observable into the vectors used for reconstructing the phase space produce results in accordance with those from the full-phase space.