摘要
对单自由度线性机械振动的研究常采用玻尔共振仪进行测量与分析,但结合该仪器进行受迫振动过程模拟仿真的研究还较少.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.
Bohr resonator is often used to the single degree of freedom linear mechanical vibration research with 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.
作者
梁燕旋
梁建新
傅征
张亚萍
陈褚鸿续
张继平
LIANG Yan-xuan;LIANG Jian-xin;FU Zheng;ZHANG Ya-ping;CHEN Chu-hong-xu;ZHANG Ji-ping(School of Petroleum Engineering China University of Petroleum, Qingdao, Shandong 266580, China;College of Science China University of Petroleum, Qingdao, Shandong 266580, China;School of Geosciences, China Universityof Petroleum, Qingdao, Shandong 266580, China)
出处
《大学物理》
2019年第4期37-41,共5页
College Physics
基金
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
