大学物理 ›› 2024, Vol. 43 ›› Issue (02): 68-.doi: 10.16854 /j.cnki.1000-0712.230086

• 大学生园地 • 上一篇    下一篇

利用微小电阻测量法测量金属丝的杨氏模量

汤洁阳,吕美昱,王一凡,杨嘉旭,周留柱   

  1. 曲阜师范大学 物理工程学院,山东 曲阜273165
  • 收稿日期:2023-03-17 修回日期:2023-04-12 出版日期:2024-03-14 发布日期:2024-03-22
  • 通讯作者: 周留柱,E-mail:dsgczlz@126.com
  • 作者简介:汤洁阳(2001—),女,浙江宁波人,曲阜师范大学物理工程学院2020级本科生.
  • 基金资助:
    山东省本科教学改革研究项目(No.Z2022117)资助

Measurement of Young's modulus of metal wires using micro-resistance measurement

TANG Jie-yang, LYU Mei-yu,WANG Yi-fan, YANG Jia-xu ,ZHOU Liu-zhu   

  1. School of Physics and Engineering,Qufu Normal University,Qufu 273165,China
  • Received:2023-03-17 Revised:2023-04-12 Online:2024-03-14 Published:2024-03-22

摘要: 根据弹性模量与金属丝电阻微小变化量之间的关系式以及微小电阻测量原理,本文设计了可以测量并实时在线显示金属丝杨氏模量的实验装置. 当金属丝被拉伸而引起电阻微小变化时,经过两级集成运算放大电路放大、模/数转换、单片机采集、计算后,在显示屏上就可以实时显示杨氏模量的大小. 利用本装置测量了直径为0.201 mm的钢丝和直径为0.269 mm的康铜丝,其测量数据和数据处理结果表明,此杨氏模量仪测得的金属丝杨氏模量具有不大于0.3% 的相对误差,精度高,且操作简单、测量时间短,为快速测量金属丝杨氏模量提供了一个可行的方法. 

关键词: 杨氏模量, 微小电阻, 金属丝, 四端引线法

Abstract: An experimental device that can measure and display Young's modulus of metal wire online in real time was designed, based on the principle of tiny resistance measurement and based on the relationship equation between the modulus of elasticity and the amount of tiny change in the resistance of metal wire. When the metal wire is stretched and causes a small change in resistance, the magnitude of Young's modulus can be displayed in real time on the display after being amplified by a two-stage integrated operational amplifier circuit, analog/digital conversion, microcontroller acquisition and calculation. The data measured on a 0.201mm diameter steel wire and a 0.269mm diameter constantan wire show that the Young's modulus of the wire measured by this device has a relative error of no more than 0.3%, high accuracy, simple operation and short measurement time, and provides a feasible method for rapid measurement of the Young's modulus of the wire.


Key words: Young's modulus, micro resistors, metal wire, four-ended lead method