Research On Condition Monitoring Of The Complex Mechanical System Based On Topology Contravariant And Its Application

Condition monitoring of the complex mechanical system is an important prerequisite for the fault diagnosis system. In recent years, for the condition monitoring of the complex mechanical system, many methods of condition monitoring are studied by domestic and foreign scholars who solve part of the problems in the mechanical engineering field. However, those methods are applicable to their relevant ranges. Basing on the principles of topology and topology contravariant, a new framework for space model of condition monitoring in the complex mechanical system is proposed in this paper. The primary content includes:Firstly, in this paper, the principles of topology and topology contravariant are introduced. According to those principles, it is proposed the original information space and the final information space. The original information is shown rationality by using the definitions and theorems.Secondly, correlative theorem is utilized to prove existence of topology contravariant. As well as, the original information space and the final information space are homeomorphic space. The model of topology contravariant is established. The self-contained projection is realized, which is from characteristics of the original information space to characteristics of the original information space.Finally, the method of topology contravariant for condition monitoring in the complex mechanical system is applied to recognize motion trajectory of the manipulator and analyze the postural error of the Stewart parallel robot. For the manipulator, the model of motion trajectory recognition basing on topology contravariant and the function of Sobolev space are established. Multivariate characters of the final information space are monitored for manipulator. The results of the method are effective agreement with the experimental observation. For the parallel robot, export error space is mapped to the error source space in the mechanical system by the operator of topology contravariant. A new method which is able to improve the accuracy of the parallel robot is provided in this paper.