雑音の影響を受けた振動データに基づく片持ちはりの物理パラメータの同定

概要

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We focus our attention to an inverse problem for identifying physical parameters such as Young's modulus and air and structural damping coefficients in the mathematical model of cantilevered beams subject to random disturbance, using dynamic noisy data measured on its vibration taken in a non-destructive manner. First, we describe matheratical models of the cantilevered beam by an Euler-Bernoulli type partial differential equation including unknown parameters subject to random disturbance and the measurement equation taking vibration data including the observation noise. Secondly, the identification problem using random dynamic data is divided into an estimation problem obtaining the (modal) state estimate and a least-squares problem determining unknown parameters, and then the unknown parameters are determined recursively by using the couple of algorithms alternately. Finally, in order to verify the efficacy of the proposed algorithm simulation studies and experiments are shown. The resulting Young's modulus of the test piece is compared with the experimental value obtained by tension test to show the highly accurate coincidence of two values.
一般社団法人日本機械学会の論文
2001-01-25