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对拓展导热逆问题原理测算物体导热系数方法的最优化问题进行了更广泛、深入的研究,揭示了敏感度系数Xk+、Xh+的变化规律,得到了最优化判别式和判据。实验测算中,探讨并确定了实测环境与条件、参数优选及最优化测算程序。对于导热系数k值数量级为10-2~10W/(m·℃)的三种不同试材测量与计算结果表明,本方法所测算的k值与传统方法所测值相比,相对误差在1.59%~4.00%之内:而本方法简单、可靠且适应性广;借助于计算机,求解过程亦较准确迅速。
A more extensive and in-depth study on the optimization of the method of calculating the thermal conductivity of the object based on the principle of inverse thermal conductivity is carried out, and the variation rules of the sensitivity coefficients Xk +, Xh + are revealed. The optimal discriminant and the criterion are obtained. In the experimental calculation, the conditions and parameters, the optimal parameters and the optimization calculation program were discussed and determined. The results of measurement and calculation for three different test materials with the thermal conductivity k value of 10-2 ~ 10W / (m · ℃) show that the relative error between k measured by this method and that measured by the traditional method is 1 .59% ~ 4.00%: The method is simple, reliable and wide adaptability; with the help of computer, the solving process is also more accurate and rapid.