Research On The Analysis Method Of Mechanical Fault Signal Based On Topology Contravariant And Its Application

In machine equipments fault detection and diagnosis technique, reasonable analysis method of signal is important prior condition to relate to accurate diagnosis, it make roughly break down accurate diagnosis and the earlier period forecast, is the bottleneck of the diagnosis research. In recent years, aim at the complexity of the mechanical fault signal, people studied the variety handles method, the part satisfied the demand of the mechanical engineering realm. However these methods exists each ascend all kinds from localization and calculations that suitable for use scope measures shortage.Firstly, in this dissertation, the topology contravariant theory was applied to domain that analysis the fault signal about the rotating machinery, the new method analyzing non-stationary signal using the topology contravariant theory was proposed. In the method the unknown fault signal space was mapped to known sine function space using topology contravariant map, the purpose of studying the unknown space was proposed through studying known space. the unknown fault signal space and known sine function space were established, their topologies were defined, making them become topology space. The topology contravariant map between the unknown fault signal space and known sine function space is existent by proof, was established. This map is a periodic nonlinear system, for analyzing the steady of the system , the coordinate transformation and the variable transformation were used, the discrete state equation of the system was established making use of the method combining with the continuation and shooting technique together, the steady condition of the system was proposed pass the poincare map and Floquent principle.Secondly, the vibration signal of the rotating machinery included large quantity useful information that can reflect the running stases of equipments , vibration signal analysis plays an important role in faults find and diagnosis of rotating machinery. In this dissertation, typical vibration characteristics and faults signal of rotating machinery were analyzed, Using topology contravariant analysis method of faults signal, Instantaneous Frequency of fault signal was analyzed through analyzing Instantaneous Frequency of vibration signal in rotating machinery, Instantaneous rotating speed was calculated , in the end the fault was diagnosed .Localization in existed analysis method of fault signal was broken down in certain degree, the antinomy on the define of Instantaneous Frequencywas solved, at same time real-time analysis can be proceed. This method can push fault diagnose development and can provide a kind of new valid method and path.Finally, a virtual instrument, rotating machinery characteristics analyzer, was programmed with some powerful time-frequency analysis functions and all order analysis functions introduced above. So, it is enabled the abilities to analysis non-stationary vibration of rotating machinery and eliminate the weak points of current used measurement and test instruments. The advantage of instruments developing by the new virtual instruments developing concept is also well showed by it. Many actual measures for different measure objects were done with the virtual characteristics analyzer of rotating machinery. The measure results provided enough evidences that the virtual characteristics analyzer is very good at non-stationary vibration analysis.