世界科技研究与发展
世界科技研究與髮展
세계과기연구여발전
World Sci-Tech R & D
2015年
2期
122-126
,共5页
边界元法%分散式模糊推理%传热学反问题%几何形状识别%共轭梯度法%二维稳态导热系统
邊界元法%分散式模糊推理%傳熱學反問題%幾何形狀識彆%共軛梯度法%二維穩態導熱繫統
변계원법%분산식모호추리%전열학반문제%궤하형상식별%공액제도법%이유은태도열계통
boundary elements method%decentralized fuzzy inference%Inverse heat conduction problem%Geometry estima-tion%CGM%Two-dimensional steady -state heat conduction system
利用边界元法（BEM）和分散式模糊推理（DFI）算法求解二维稳态传热学几何反问题。首先，给定边界形状的初始猜测值，利用 BEM求解传热学正问题，得到边界温度计算值；然后，根据 DFI 反演算法，利用温度测量值与其计算值的差值推理得到一组模糊推理分量；最后，对模糊推理分量进行综合加权，得到边界形状的补偿量。本文通过数值实验验证了 DFI 方法的有效性，讨论了初始猜测值、测量点数目以及测量误差等因素对反演结果的影响，并与共轭梯度法（CGM）的反演结果进行了对比。数值实验结果表明，与 CGM相比，DFI 降低了反演结果对温度测量点数目的依赖程度，增强了对温度测量误差的抗干扰能力，具有更好的抗不适定性。
利用邊界元法（BEM）和分散式模糊推理（DFI）算法求解二維穩態傳熱學幾何反問題。首先，給定邊界形狀的初始猜測值，利用 BEM求解傳熱學正問題，得到邊界溫度計算值；然後，根據 DFI 反縯算法，利用溫度測量值與其計算值的差值推理得到一組模糊推理分量；最後，對模糊推理分量進行綜閤加權，得到邊界形狀的補償量。本文通過數值實驗驗證瞭 DFI 方法的有效性，討論瞭初始猜測值、測量點數目以及測量誤差等因素對反縯結果的影響，併與共軛梯度法（CGM）的反縯結果進行瞭對比。數值實驗結果錶明，與 CGM相比，DFI 降低瞭反縯結果對溫度測量點數目的依賴程度，增彊瞭對溫度測量誤差的抗榦擾能力，具有更好的抗不適定性。
이용변계원법（BEM）화분산식모호추리（DFI）산법구해이유은태전열학궤하반문제。수선，급정변계형상적초시시측치，이용 BEM구해전열학정문제，득도변계온도계산치；연후，근거 DFI 반연산법，이용온도측량치여기계산치적차치추리득도일조모호추리분량；최후，대모호추리분량진행종합가권，득도변계형상적보상량。본문통과수치실험험증료 DFI 방법적유효성，토론료초시시측치、측량점수목이급측량오차등인소대반연결과적영향，병여공액제도법（CGM）적반연결과진행료대비。수치실험결과표명，여 CGM상비，DFI 강저료반연결과대온도측량점수목적의뢰정도，증강료대온도측량오차적항간우능력，구유경호적항불괄정성。
An inverse geometry heat conduction problem of the furnace inner wall is studied,using the boundary element method (BEM)anddecentralized fuzzy inference (DFI)method.First of all,the direct problem is solved using BEM for a heat conduction systempre-assumed shape;thenDFImethod is proposed to obtain a set of fuzzy inference components by the deviations between the computed and measured temperature at measurement points of furnace wall.The fuzzy inference com-ponents are weighted and synthesized to gain the compensations of the shape of the boundary shape.Numerical experiments are performed to study the effects of the initial guesses,the number of measuring points and measurement errors on the pre-dicted results.Comparing the results of DFI and CGM,It'concluded thatFIMcan reduce the effect of the number of measur-ing points and measurement errors on the geometry estimation.The DFI has better resistance to discomfort.
