玻尔共振实验相空间拓展研究装置设计

DESIGN OF PHASE PORTRAIT EXPANSION RESEARCH DEVICE FOR BOHR RESONANCE EXPERIMENT

本文针对玻尔共振实验设计了一套基于电子陀螺仪和三轴加速度计,配合Arduino的振动角度和角速度采集装置。本装置可以对玻尔共振仪摆轮的运动状态进行测量,并在此基础上绘制相图。实验分析了多个稳定受迫振动周期下使用该装置测量的振动角度,角速度数据。实验结果表明测量角度的相对误差在0.8%以内,测量角速度的相对误差在0.5%以内。本装置采集数据间隔较短,误差小,绘制的相图精度较高且连贯性好,可以满足实验拓展需求。这项功能改进提升了实验数据采集的信息化程度,增加了原有实验项目的实验内容,可为玻尔共振实验的拓展研究和教学创新设计提供一定的借鉴和技术支持。

Based on the electronic gyroscope,3-axis accelerometer and Arduino,an angle and angular velocity measurement device were designed for Bohr resonance experiment.This device could measure the motion of the Bohr oscillator and plot its phase portrait.The experiment analyzed the angle and angular velocity measured by this device with several stable forced vibration periods.The result of the verification experiment showed that the relative error of the measured angle was lower than 0.8%and the relative error of the measured angular velocity was lower than 0.5%.This device could collect accurate data with a high collection rate.The phase portraits drawn were of high accuracy and continuity,which could meet the needs of experimental expansion.This functional improvement digitalizes the data collection and increases the content of the experiment,which provides references and technical supports for expanding research and innovating teaching design for Bohr resonance experiment.