西华大学学报（自然科学版）
西華大學學報（自然科學版）
서화대학학보（자연과학판）
JOURNAL OF XIHUA UNIVERSITY(NATURAL SCIENCE EDITION)
2014年
5期
50-52,59
,共4页
格林函数%动态导热%导热系数%有限厚平板%数值计算
格林函數%動態導熱%導熱繫數%有限厚平闆%數值計算
격림함수%동태도열%도열계수%유한후평판%수치계산
Green’ s function%dynamic thermal conductivity%thermal conductivity%limited thick plate%numerical calculation
为解决薄板状材料常功率平面热源法的导热系数计算问题，基于格林函数法，推导得到有限厚板状材料单面常功率加热时的表面温度函数解析表达式。以加气混凝土为例，应用数值计算方法，计算得到有限厚度平板材料的表面温度响应函数近似值，计算结果表现出较强的收敛特征。比较了表面温度响应函数中求和项数及加热时间对计算误差的影响，发现当求和项数m≥40时，在较短加热时间内计算误差才可能小于1％。
為解決薄闆狀材料常功率平麵熱源法的導熱繫數計算問題，基于格林函數法，推導得到有限厚闆狀材料單麵常功率加熱時的錶麵溫度函數解析錶達式。以加氣混凝土為例，應用數值計算方法，計算得到有限厚度平闆材料的錶麵溫度響應函數近似值，計算結果錶現齣較彊的收斂特徵。比較瞭錶麵溫度響應函數中求和項數及加熱時間對計算誤差的影響，髮現噹求和項數m≥40時，在較短加熱時間內計算誤差纔可能小于1％。
위해결박판상재료상공솔평면열원법적도열계수계산문제，기우격림함수법，추도득도유한후판상재료단면상공솔가열시적표면온도함수해석표체식。이가기혼응토위례，응용수치계산방법，계산득도유한후도평판재료적표면온도향응함수근사치，계산결과표현출교강적수렴특정。비교료표면온도향응함수중구화항수급가열시간대계산오차적영향，발현당구화항수m≥40시，재교단가열시간내계산오차재가능소우1％。
For computation of thermal conductivity for sheet -like material in constant power plane heating test , based on Green's Function Method , the analytical expression functions of surface temperature for limited thick plate with one side constant power heating were derived .A numerical calculation method was employed to calculate the functions , and the approximate calculation value of the functions of surface temperature showed convergence characteristic in an example of aerated concrete .Additionally , the errors of nu-merical calculation of the function brought by different plus terms and heating time were analyzed .As the number of plus terms was greater than or equal to 40, the calculation error might be less than 1%in a short time heating.
