Estimation of Vibratory Input to Mechanical Structure
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概要
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An estimation method of the fluctuation and position of a vibratory input to a mechanical structure is presented in this study. First, the condition of the invertibility and the stability of an inverse system are made clear. Second, by using the models of a tvo-degree-of-freedom system and a rigid bar supported elastically, it is demonstrated how easily the inverse system can be constructed by applying the inverse system theory if the system as an object is a lumped and minimun phase system. Furthermore, an inverse system for the elastic beam which is modelled as a nonminimum phase system is presented. In the method, the vibratory input can be estimated by obtaining as mar outputs as the truncation number of modes and position of input is determined by use of a ratio between mode functions. And in the case that there exists a detection noise a method of determining the allocation of measuring positions is presented.
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