大学物理 ›› 2026, Vol. 45 ›› Issue (7): 81-.doi: 10.16854/j.cnki.1000-0712.250267

• 教学改革 • 上一篇    

二维驻波可视化仿真和实验研究

杨润佳,鲁广铎,樊帅伟   

  1. 三峡大学 数理学院物理系, 湖北 宜昌443002
  • 收稿日期:2025-05-14 接受日期:2025-07-29 出版日期:2026-09-22 发布日期:2026-10-15
  • 作者简介:杨润佳(2004—),男,山东泰安人,三峡大学数理学院物理学本科生.


  • 基金资助:
    教育部产学合作协同育人项目 (231100532043822),湖北省高等学校实验室工作研究会项 (HBSY2023-078). 

Visualization of two-dimensional standing wave based #br# on simulation and experiment#br#

YANG Runjia, LU Guangduo, FAN Shuaiwei   

  1. Department of Physics, College of Mathematics and Physics, China Three Gorges University, Yichang, Hubei 443002, China
  • Received:2025-05-14 Accepted:2025-07-29 Online:2026-09-22 Published:2026-10-15

摘要: 波动是自然界中普遍存在的物理现象,由于二维的波动的抽象性和不易直接观测性,在多数教材中未能得到详尽而深入的讲解.本文基于Python开发了一款能够对二维机械波与二维驻波进行可视化呈现的程序,该程序具有人机交互功能,而且可以通过改变参数生成二维驻波静态图像、驻波振动的动画和机械波传播的动画;并设计和搭建实验装置进行验证,实现了理论仿真与实验验证的研究闭环.本研究有利于学生们加深对二维驻波各项性质的理解;也有助于培养学生的思维能力与想象能力,为学生未来的学习和科研工作打下良好的基础.

关键词: 克拉尼图形, 二维驻波, 机械波, 波动方程

Abstract: Wave is a universal physical phenomenon. Due to the abstraction and difficulty in direct observation, two-dimensional waves have not been elaborately and deeply explained in most textbooks. Based on the Python, we develop a program which can visualize the two-dimensional mechanical wave and standing wave. The program also possesses the function of human-computer interaction, and can output the image of two-dimensional standing wave, standing wave vibration animation and mechanical wave propagation animation with the input parameters. The computational simulation can assist to visualize the Abstract: theories, and help students’ understanding of the properties of two-dimensional standing waves, cultivating students’ thinking ability and imagination ability, greatly improving the teaching effect, and laying a foundation for students’ future study and research work. 

Key words: Chladni figures, two-dimensional, standing wave, mechanical , wave equation