基于B样条基优化搜索的导热系数反推测量新方法  

A New Inverse Method for Based on Measuring Thermal Conductivity B-spline Basis

作　　者：吴洪潭[1] 崔志尚[1] 裘国红[1] 陈艳燕[1] 

机构地区：[1]中国计量学院,浙江杭州310018

出　　处：《计量学报》2009年第1期21-24,共4页Acta Metrologica Sinica

基　　金：国家质量监督检验检疫总局科技项目（2005QK132）

摘　　要：针对许多工程和科学实验上温度以及导热系数测量的问题，提出了一种基于非线性导热反问题辨识的反推测量方法。该方法包含了一种基于B样条基的因素交替优化搜索新思想，避免了目前流行的反问题数值方法如共轭梯度法要泛函变分的数学难点。实验表明该方法具有相当高的精度，并且计算工作量小、收敛速度快、易于用计算机程序实现，因而具有广泛的应用前景。An inverse method based on the identification of nonlinear inverse heat conduction problem is applied to determine temperature-dependent thermal conductivity. In this method, a new idea of the variables alternating optimal search based on B-spline basis is presented, the mathematical difficulties of the variation of the object function in traditional method such as the conjugate gradient method are avoided. The numerical results show that this method has an high accuracy even though there are large measuring errors in temperature, small computing workload and fast convergent speed, so it has a potential for wide application in many engineering areas.

关 键 词：计量学 导热系数 B样条基 反问题 测量误差 

分 类 号：TB941[一般工业技术—计量学]