摘要
对沙漏摆振动建立了动力学方程,用Matlab软件对超越动力学方程做了数值解,通过实验研究了不同流量下沙漏摆摆幅和周期随时间的变化规律.结果表明:沙漏摆的摆幅随时间指数衰减,周期随时间指数增加;流量越大,摆幅和周期随时间的变化率越大;振动时长相同时,摆幅和周期都随流量非线性变化,实验结果与理论结果吻合较好.
The dynamic equation of sandglass pendulum was established and solved numerically using Matlab.The amplitude and period of sandglass pendulum were studied at different flow rate.The results showed that the amplitude decayed exponentially with time and the period increased exponentially with time.The rate of the change of the swing and period with time increased with the flow rate,and for the same time of vibration,the amplitude and period changed nonlinearly with flow rate.The theoretical results were in better agreement with the experimental results.
出处
《物理实验》
2015年第10期37-40,共4页
Physics Experimentation
基金
贵州省科技厅基金资助项目(黔科合J字[2011]2099号)
贵州省省长专项基金资助项目(黔省专合字(2010)5号)
国家自然科学基金(No.11264006)
关键词
沙漏摆
流量
颗粒
数值解
sandglass pendulum
flow
granular
numerical solution
