居家实验:硬币弹跳
HOME EXPERIMENT——COIN BOUNCING
董佳豪 1王槿 2李文华 2文小青 2惠王伟2
作者信息
- 1. 南开大学物理科学学院,天津 300071
- 2. 南开大学物理科学学院,天津 300071;南开大学基础物理国家级实验教学示范中心,天津 300071
- 折叠
摘要
本文给出了居家环境下基于智能手机研究硬币弹跳的声学频率和产生的共振模式一种方案.理论上首先根据圆板的振动方程,给出了硬币固有振动频率的表达式.之后结合特定边界条件,利用有限元的方法分析了三种类型硬币的固有振动模式及对应频率.实验上利用智能手机测量了不同硬币在自由振动时产生的声音频率,并与模拟计算结果进行比较,给出了合理的误差分析.该居家实验方案简单有趣,物理原理丰富,易于在基础物理实验教学中推广.
Abstract
In this paper,the smart phone was used to study the acoustic frequency and reso-nance mode of coin bouncing in home environment.Firstly,according to the vibration equa-tion of the circular plate,the expression of the natural vibration frequency of the coin is given.Then combined with specific boundary conditions,the natural vibration modes and corre-sponding frequencies of three types of coins are analyzed by finite element method.In the ex-periment,the acoustic frequency produced by the free vibration of different coins is measured by smart phone,and compared with the simulation results,then a reasonable error analysis is given.This home experiment scheme is rich in physical principles,simple and interesting,and easy to be popularized in basic physics experiment teaching.
关键词
硬币/声学频率/智能手机/居家实验Key words
coin/acoustic frequency/smart phone/home experiment引用本文复制引用
基金项目
高等学校教学研究项目(2020)(DJZW202010hb)
港澳与内地高等学校师生交流计划(202111120070)
南开大学"四新"专业课程改革项目(21NKSYSX02)
出版年
2024
国家科技期刊平台
NSTL
万方数据