熱伝導逆問題に対する有限要素解析法

概要

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We present an efficient inverse analysis method based on a sensitivity coefficient algorithm to estimate unknown boundary conditions of multidimensional heat conduction problems. Sensitivity coefficients were used to represent the temperature response of a system under unit loading conditions. The proposed method, coupled with sensitivity analysis in the finite element formulation, is capable of estimating unknown both temperature and heat flux on the surface provided that temperature data are given at discrete points in the interior of a solid body. Inverse heat conduction problems are referred to as ill-posed ones because minor inaccuracy or error in temperature measurement causes a drastic effect on the predicted surface temperature and heat flux. To verify the accuracy and validity of the new method, two-dimensional steady-state and transient problems are considered and their surface temperature and heat flux are evaluated. From a comparison with exact solutions, the effects of measurement accuracy, number and location of measuring points, a time step, and regularization terms are discussed.
一般社団法人日本機械学会の論文
1997-04-25