境界積分の基づく物体内の発熱源および荷重の同定

概要

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A deterministic approach is proposed for the identification of heat-source or force applied in a domain from values of integrals evaluated on the boundary. For steady-state heat conduction problems, it is shown that a volume integral of the intensity of a heat-source multiplied by a harmonic function can be expressed by a boundary integral. This enables us to determine the intensity and the location of the heat-source by combining the values of the boundary integrals evaluated using several harmonic functions. This approach is extended to the identification of the heat-source for transient heat conduction problems. It is shown that the method can be further generalized for the determination of input in a system governed by a linear partial differential equation. The usefulness of the proposed method is demonstrated by a numerical simulation of heat-source identification for a steady-state heat conduction problem.
一般社団法人日本機械学会の論文
1988-07-25