中文摘要：

针对薄圆盘直径端点之间电阻难以利用传统直接积分法或数值解法测量的问题,本文利用有限元分析法研究了薄圆盘直径端点之间电阻的测量方法。利用Comsol multiphysics设计薄圆盘电阻测量平台,通过在薄圆盘直径端点设计电极,研究了薄圆盘直径端点之间电阻随薄圆盘半径、电极位置、薄圆盘上小孔位置和大小的变化规律;利用最小二乘法拟合薄圆盘直径端点之间电阻表达式,实现薄圆盘直径端点之间电阻间接测量;在典型条件下,利用直接积分测量法对上述测量方法进行验证,结果表明本文提出的方法误差较小。本文研究工作对薄圆盘电阻的设计具有指导意义,且该研究方法还可以推广用于其他形状电阻的设计。

英文摘要：

It was difficult to apply immediate integral to measure the resistance of thin disc conductor.In order to solve this problem,this paper studied the method for measuring the resistance of thin disc by finite element method.Firstly,the measurement platform of thin disc resistance was designed by Comsol multiphysics software.Based on this design of electrode,we studied the relationship between the thin disc resistance and the disc radius,the electrode position,the position and size of the small hole on the thin disc.Then,resistance of thin disc could be measured indirectly by the disc resistance expression,which was fitted by the least square method.Finally,the above measurement method for the resistance of thin disc was verified with immediate integral under the typical condition,and the results show that the error of the method was quite small.This paper was of great significance for the design of resistance of thin disc.In addition,the resistance measurement method could also be promoted the design of resistance of other shapes.