ひずみ入力による分布ヤング率の同定と入力誤差に関する区間解析

概要

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A formulation is proposed for identification of spatially distributed Young's modulus based on strain input. The strain and its sensitivity with respect to isotropic Young's modulus are analysed by the finite element method with the initial guess of Young's modulus in order to obtain the firstorder approximation of strain change. The numerical strain, obtained by the finite element analysis, is compared with such strain input as measured strain, and the current guess of Young's modulus is renewed iteratively so as to eliminate the deviation between the numerical strain and strain input until the Young's modulus is settled by the renewal converged. The fluctuation of the identified Young's modulus that arises from uncertain error involved in the strain input is estimated in the form of interval by means of the convex modeling of the error and Lagrange multiplier method. The validity of the present formulation is shown by the numerical example of axial distribution of Young's modulus identified by the skin strain of beam bending.
一般社団法人日本機械学会の論文
1998-07-25