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一次元非定常温度場の境界値同定に対する解析的解法 (第2種, 第3種境界値問題への適用)

発表形態:
原著論文
主要業績:
主要業績
単著・共著:
共著
発表年月:
2000年
DOI:
会議属性:
指定なし
査読:
有り
リンク情報:
CiNii

日本語フィールド

著者:
門出政則, 有馬博史, 光武雄一 読み: モンデマサノリ、アリマヒロフミ、ミツタケユウイチ
題名:
一次元非定常温度場の境界値同定に対する解析的解法 (第2種, 第3種境界値問題への適用)
発表情報:
日本機械学会論文集B 巻: 66 号: 647 ページ: 1780-1786
キーワード:
Inverse Problem Heat Conduction Analytical Method Laplace Transformation
概要:
抄録:
An analytical method using Laplace transformation has been developed for one-dimensional heat conduction. This method succeeded in explicitly deriving the analytical solution by which the surface temperature for the first kind of boundary condition can be predicted well. The analytical solutions for the surface temperature and heat flux are applied to the second and the third of boundary conditions. These solutions are also found to estimate the corresponding surface conditions with a high accuracy when the surface conditions smoothly change. On the other hand, when these conditions sharply change such as the first derivative of temperature with time, the accuracy of the estimation becomes a little less than that for a smooth condition. This trend in the estimation accuracy is similar irrespective of any kind of boundary condition.

英語フィールド

Author:
Masanori Monde, Hirofumi Arima, Yuhichi Mitsutake
Title:
Analytical approach with Laplace transformation to the Inverse Problem of one Dimensional Heat Conduction(Application to Second and Third Boundary Conditions)
Announcement information:
Transactions of the Japan Society of Mechanical Engineers B Vol: 66 Issue: 647 Page: 1780-1786
Keyword:
Inverse Problem Heat Conduction Analytical Method Laplace Transformation
An abstract:
An analytical method using Laplace transformation has been developed for one-dimensional heat conduction. This method succeeded in explicitly deriving the analytical solution by which the surface temperature for the first kind of boundary condition can be predicted well. The analytical solutions for the surface temperature and heat flux are applied to the second and the third of boundary conditions. These solutions are also found to estimate the corresponding surface conditions with a high accuracy when the surface conditions smoothly change. On the other hand, when these conditions sharply change such as the first derivative of temperature with time, the accuracy of the estimation becomes a little less than that for a smooth condition. This trend in the estimation accuracy is similar irrespective of any kind of boundary condition.


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