A new spatial three-channel homologous information fusion method based on two-dimensional full vector spectrum and its application

The two-dimensional full vector spectrum method is based on dual-channel homologous information fusion, which can only obtain the planar cross-section vibration information of a monitoring point. However, rotor vibration occurs in three-dimensional space, and it is impossible to describe the rotor's vibration conditions in three-dimensional space using only two mutually perpendicular dual-channels. Besides, this limitation may easily lead to the omission of key fault-feature information and result in misdiagnosis. A spatial three-channel homologous information fusion method is proposed to address the above issues. Firstly, the method proves that the rotor’s spatial vortex trajectory remains elliptical in three-dimensional space. Subsequently, the transformation from the spatial coordinate system to the two-dimensional plane coordinate system is achieved through quadratic coordinate transformation, and a specific mapping relationship between any point in the spatial coordinate system and its corresponding point in the two-dimensional plane coordinate system is established. Finally, based on the theory and calculation principle of the two-dimensional full vector spectrum, the extraction of spatial three-dimensional full vector spectrum feature vectors is achieved. The superiority of the spatial three-dimensional full vector spectrum over the two-dimensional full vector spectrum is verified through simulation and experiment.