振動計測データを用いた片持ちはりの物理パラメータの同定

概要

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In this paper, an efficient computer algorithm is proposed for identifying the unknown spatially invariant/varying parameter values such as flexural stiffness and both air and structural damping coefficients of a class of mechanically flexible cantilevered beams, using dynamic data measured on its vibration in a non-destructive manner. First, the mathematical model of the cantilevered beam is given by an Euler-Bernoulli type partial differential equation and the identification problem is formulated as one of the inverse problems by minimizing the quadratic error functional between mathematical model and measurement data with respect to model parameters. Then, the identification algorithm is developed by introducing finite approximations both to the modeled partial differential equation and the unknown parameter profiles using Galerkin method and basis functions. Finally, the efficacy of the proposed identification algorithm is examined for two kinds of beams-one is spatially uniform and the other is nonuniform in its shape by simulations and experiments.
一般社団法人日本機械学会の論文
2000-03-25