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Journal of Mechanical and Electrical Intelligent System (JMEIS, J. Mech. Elect. Intel. Syst.)

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ISSN 2433-8273

 


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Vol.5, No.1

 

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Application to nonlinear circular ring of nonlinear system identification based on AR time series analysis

Soichiro Takata

Journal of Mechanical and Electrical Intelligent System, Vol.5, No.1, pp.1-10, 2022.

Abstract: Previously, a method was proposed for identifying nonlinear parameters using Auto-Regressive time series analysis and the method of averaging; however, the application to the actual structure deterioration detection problem was not considered. Here, the methodfs application to a nonlinear circular ring is described, for use in the pipe thinning detection problem. First, the identification problem is formulated by applying the averaging method to Evensenfs nonlinear circular ring model. The regression problem is formulated using the difference between the instantaneous natural angular frequency and the linear natural angular frequency. Operational validation of the proposed identification method is performed using numerical simulations based on the fourth order Runge-Kutta method. Furthermore, numerical analysis of the pipe thinning detection problem using the angular frequency and nonlinear coefficient is described.

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