三維非穩態反問題分布參數的順序函數法反演

梁曉斌++華僑++馮妙

摘 要：基于順序函數法（sequential function specification method， SFSM），采用階躍響應函數作為溫度預測模型，通過求解三維非穩態分布參數模型的傳熱學反問題（Inverse Heat Conduction Problem，IHCP）建立了一種預測反演方法。通過數值試驗論證了本文所提出的熱模型的正確性，討論了未來時間步和測量誤差對反演結果的影響。數值試驗結果表明，采用該方法在考慮測量誤差的基礎上，恰當地選擇未來時間步數，能夠有效地表面表面分布熱流反演結果。

關鍵詞：順序函數法；傳熱學反問題；分布參數；未來時間步

The Inversion Of The Distribution Parameters Of Three Dimensional Unsteady Inverse Problem By Sequential Function Specification Method

Liang Xiao-bin， Hua Qiao，Feng Miao

（Key Laboratory of low grade energy utilization technology and systems of Ministry of education， Chongqing University， Chongqing 400044， China）

ABSTRACT： Based on sequential function specification method （SFSM）， this paper adopts the step response as a function of the temperature prediction model ，by solving three dimensional unsteady Inverse Heat Conduction Problem （IHCP） of distribution parameter model to establish a predictive inversion method. The correctness of the thermal model presented in this paper is demonstrated by numerical experiments， and the influence of future time steps and measurement errors on the results is discussed. The numerical results show that the proposed method can effectively obtain the inversion effect of the surface heat flux on the basis of the measurement error.

KEYWORDS： sequential function specification method； inverse heat conduction problem； distributed parameter； future time step