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ラプラス変換を用いた2次元非定常熱伝導の逆問題解析(内挿方法と測定点数について)

発表形態:
原著論文
主要業績:
その他
単著・共著:
共著
発表年月:
2002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, 劉維, 光武雄一,Jaffar A. HAMMAD
題名:
ラプラス変換を用いた2次元非定常熱伝導の逆問題解析(内挿方法と測定点数について)
発表情報:
日本機械学会論文集B 巻: 68 号: 672 ページ: 2306-2312
キーワード:
Inverse Solution, Two Dimensional Transient, Heat Conduction, Laplace Transformation
概要:
抄録:
An analytical method has been developed for inverse problem of two-dimensional heat conduction by using Laplace transform technique. The inverse problem is solved only for two unknown surface conditions and the other surfaces are insulated in a finite rectangular body. In actual measurement, number of measuring points in a solid is usually limited so that the number of the measured temperatures required to approximate the temperature change in it is short to obtain an approximate function with a half polynomial power series of time and the Fourier series of eigen function. In order to clear this shortage, the third order Spline method is recommended to interpolate unknown temperature at a different point from the measured temperatures and a minimal requirement of the temperature measurements is also recommended to be 8 points enough. The results calculated thereby for some representative cases show that the surface temperature and the surface heat flux can be predicted at good agreement compared with the given surface condition.

英語フィールド

Author:
MONDE Masanori, ARIMA Hirofumi, LIU Wei,MITUTAKE Yuhichi, HAMMAD Jaffar A.
Title:
Analytical Method of Two Dimensional Inverse Heat Conduction Problem using Laplace Transformation : Effect of Measuring Point Number
Announcement information:
Transactions of the Japan Society of Mechanical Engineers, B Vol: 68 Issue: 672 Page: 2306-2312
Keyword:
Inverse Solution, Two Dimensional Transient, Heat Conduction, Laplace Transformation
An abstract:
An analytical method has been developed for inverse problem of two-dimensional heat conduction by using Laplace transform technique. The inverse problem is solved only for two unknown surface conditions and the other surfaces are insulated in a finite rectangular body. In actual measurement, number of measuring points in a solid is usually limited so that the number of the measured temperatures required to approximate the temperature change in it is short to obtain an approximate function with a half polynomial power series of time and the Fourier series of eigen function. In order to clear this shortage, the third order Spline method is recommended to interpolate unknown temperature at a different point from the measured temperatures and a minimal requirement of the temperature measurements is also recommended to be 8 points enough. The results calculated thereby for some representative cases show that the surface temperature and the surface heat flux can be predicted at good agreement compared with the given surface condition.


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