基于Mathematica 数学软件的玻尔共振实验综合研究
收稿日期: 2018-08-26
修回日期: 2018-11-12
网络出版日期: 2019-05-09
基金资助
教育部高等学校教学研究项目( DWJZW201603hd) ; 山东省本科高校教学改革研究项目( 2015M022) ; 中国石油大学( 华东) 研究性
教学改革项目和教学改革项目( YK201520; JY-B201635) ; 大学生创新训练计划项目( 20181488) 资助
A comprehensive analysis of Bohr resonator experiment based on Mathematica simulation
Received date: 2018-08-26
Revised date: 2018-11-12
Online published: 2019-05-09
研究还较少.本论文采用Mathematica 数学软件编写相关仿真程序，对玻尔共振仪受迫振动的幅频特性、相频特性进行数值模
拟与解析模拟，并将模拟结果与实验结果进行精度分析，从而对数值模拟和解析模拟两种仿真算法进行优劣分析.此外还使用
Mathematica 数学软件突破玻尔共振仪的现有实验条件功能局限，通过建立整个振动动力学过程的相图、频谱曲线等，从而可
以更为深入地研究机械振动规律，拓展Mathematica 数学软件在实验分析中的应用范围.
关键词： 玻尔共振仪; Mathematica; 机械振动; 模拟仿真
梁燕旋, 梁建新, 傅征, 张亚萍, 陈褚鸿续, 张继平 . 基于Mathematica 数学软件的玻尔共振实验综合研究[J]. 大学物理, 2019 , 38(4) : 37 -41 . DOI: 10.16854 /j.cnki.1000-0712.180478
measurement data and Mechanism analysis. However，there is few research on the simulation of forced vibration
process with this instrument. In this paper，we use the Mathematica software to edit the relevant simulation program
in order to gain the numerical simulation results and analytic solutions for the amplitude-frequency characteristics
and phase-frequency characteristics of forced vibration with Bohr resonator. Through the precious error analysis of
simulation results and instrument experimental results，the advantages and disadvantages of the two simulation algorithms
are discussed. In addition，we also use the Mathematica software to break through the function limitation of
Bohr resonator，under the current experimental conditions，in order to study the mechanical vibration law more
deeply and expand the application of the Mathematica software in experiment analysis.
Key words： Bohr resonance experiment; Mathematica; vibration; simulation
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