Time-Domain Experimental Identification Technique of Rotating Short Systems

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As rotating machines becomes higher and lighter, it becomes more difficult to realize their stable and quiet operation. To model machines in this situation, experimental identification techniques become more important. In this research we attempt to develop a new experimental identification technique suitable for rotating machines. To identify rotating machines, we encounter some difficulties which are free in the usual non-rotating machines. First the rotating machines are usually difficult to be excited during their high-speed operation. Second they contain such parameters as unbalances and initial imperfections, which are not important in the usual non-rotating machines. Third they often become nonlinear systems. To overcome these difficulties, we developed, in a former research, frequency-domain techniques. These techniques, however, require long time to conduct identification. To improve this defect, we attempt to develop a time-domain technique. First, as a fundamental study, we consider a rotating shaft with a disc, and propose an identification technique using the least square method and the Lagrane multiplier method. We showed its applicability by numerical simulation and experiment. Then we generalize the technique so that it is applicable to nonlinear systems. Finally, we developed a technique for continuous rotating machines. We also showed its applicability by numerical simulation and experiment.