大学物理 ›› 2022, Vol. 41 ›› Issue (12): 70-.doi: 10.16854/j.cnki.1000-0712.220122

• 大学生园地 • 上一篇    下一篇

微米纤维杨氏模量的静电共振测量

宰民明,侯丽珍, 王世良   

  1. 1.湖南师范大学 物理与电子科学学院,低维量子结构与调控教育部重点实验室,湖南  长沙410081;
    2.中南大学 物理与电子学院,湖南  长沙410083
  • 收稿日期:2022-03-06 修回日期:2022-05-20 出版日期:2023-02-20 发布日期:2023-02-17
  • 通讯作者: 侯丽珍,E-mail: lizhenhou@hunnu.edu.cn
  • 作者简介:宰民明(2000—),男,云南省曲靖市人,湖南师范大学物理与电子科学学院“光召班”2019级本科生
  • 基金资助:
    国家自然科学基金面上项目(12072111)以及长沙市自然科学基金(kq2007002)资助

Electrostatic resonance measurement of Young’s modulus for microfibers

ZAI Min-ming1, HOU Li-zhen1, WANG Shi-liang2   

  1. 1. Key Laboratory of LowDimensional Quantum Structures and Quantum Control of Ministry of Education, 
    School of Physics and Electronic Science, Hunan Normal University, Changsha, Hunan 410081,China; 
    2. School of Physics and Electronics, Central South University, Changsha, Hunan   410083,China
  • Received:2022-03-06 Revised:2022-05-20 Online:2023-02-20 Published:2023-02-17

摘要: 本文提出了一种通过静电共振来测量微米纤维杨氏模量的方法.该方法无需借助昂贵的高精度微型传感器或者激光多普勒振动仪,而是直接通过光学显微镜测量来获得微米纤维悬臂梁的共振频率,进而通过欧拉-伯努利梁理论计算出其杨氏模量. 该测试方法有益于提高学生的综合实验能力,激发学生的学习兴趣,提升创新意识,自觉将物理思想和物理测量方法应用于新兴科技领域.

关键词: 微米纤维, 杨氏模量, 共振测量, 静电力

Abstract:  A method based on electrostatic resonance for measuring Young’s modulus of microfibers is developed in this paper. The resonance frequencies of cantilevered microfibers are directly determined by using an optical microscope, rather than an expensive high-precision microsensors or laser Doppler vibrators used in previous studies. The Young’s moduli of microfibers are derived from Euler-Bernoulli beam theory by using measured resonant frequencies. This method is beneficial to improve the comprehensive experimental ability of undergraduates, stimulate their interest in learning, enhance their awareness of innovation, and help them to consciously apply physical principles and measurement methods to the new areas of science and technology.

Key words: microfiber, Young’s modulus, resonance measurement, electrostatic force