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中文题名:

 用MATLAB综合研究波尔共振实验    

姓名:

 赵康鑫    

保密级别:

 公开    

论文语种:

 chi    

学科代码:

 070201    

学科专业:

 物理学    

学生类型:

 学士    

学位:

 理学学士    

学位年度:

 2023    

校区:

 珠海校区培养    

学院:

 未来教育学院    

第一导师姓名:

 王引书    

第一导师单位:

 文理学院    

提交日期:

 2023-06-24    

答辩日期:

 2023-05-12    

外文题名:

 Comprehensive study of Ball resonance experiments with Matlab    

中文关键词:

 MATLAB ; 波尔振动仪 ; 幅频特性 ; 相频特性 ; “拍”现象    

外文关键词:

 MATLAB ; Bohr resonator ; amplitude-frequency characteristics ; phase-frequency characteristics ; "beat" phenomenon    

中文摘要:

本文介绍了波尔振动装置的基本结构和动力学原理,并从摆轮的动力学方程出发,利用MATLAB软件对波尔振动仪的不同振动模式进行了数值模拟,以实物实验与数值模拟实验相结合的方式,研究了波尔振动装置的阻尼振动、受迫振动和共振、拍现象等特性;通过对比数值模拟结果与实物实验结果,表明数值模拟在一定程度上可有效反应摆轮的实际运动情况;本文全面分析了数值模拟与实物实验之间的误差,并对理论模型中的阻尼力矩项进行了经验修正,解释了在阻尼振动下摆轮角速度较小时幅值衰减过快的原因。为使数值仿真更加便捷,基于MATLAB搭建了可交互的数值仿真软件,数值仿真实验具有花费时间短、重复性操作少、可快速得出不同参数实验结果的优点。利用数值仿真软件辅助研究力学综合实验是值得提倡的实验方法。

外文摘要:

This paper introduces the basic structure and dynamics of the Ball vibration device, and from the dynamical equations of the balance wheel, different vibration modes of the Ball vibration device are numerically calculated using MATLAB software, and the characteristics of damped vibration, forced vibration and resonance, and beat phenomenon of the Ball vibration device are studied. In this paper, the errors between numerical simulations and physical experiments are comprehensively analyzed, and the damping term in the theoretical model is empirically corrected to explain the reason why the pendulum amplitude decays too fast under damped vibration with small angular velocity. In order to make the numerical simulation more convenient, therefore, an interactive numerical simulation software is built based on MATLAB software. The numerical simulation experiment has the advantages of short time spent, less repetitive operation, and can quickly produce experimental results with different parameters. Numerical simulation software to assist the study of comprehensive experiments in mechanics is an experimental method worth advocating.

参考文献总数:

 16    

馆藏号:

 本070201/23037Z    

开放日期:

 2024-06-24    

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