基于MATLAB的珠子动力学分析  

Analysis of Bead Dynamics Based on MATLAB

作　　者：张汉松 左佳玉 吕东 高兆辉 ZHANG Hansong;ZUO Jiayu;L Dong;GAO Zhaohui(College of Food Science and Engineering,Dalian Ocean University,Dalian 116023,China;College of Information Engineering,Dalian Ocean University,Dalian 116023,China;College of Marine Science and Environment,Dalian Ocean University,Dalian 116023,China)

机构地区：[1]大连海洋大学食品科学与工程学院,辽宁大连116023 [2]大连海洋大学信息工程学院,辽宁大连116023 [3]大连海洋大学海洋科技与环境学院,辽宁大连116023

出　　处：《大学物理实验》2022年第5期100-104,共5页Physical Experiment of College

基　　金：辽宁省教育厅项目(LJKZ0710);辽宁省海洋与渔业厅项目(201726)。

摘　　要：圆环绕着垂直于直径的轴旋转,珠子处于旋转的圆环内,让珠子在环内凹槽中滚动。采用MATLAB模拟仿真对珠子进行动力学分析,结果表明,摩擦系数μ和圆环半径R一定时,圆环转动角速度ω越大,珠子运动的最大角度位置越大;角速度ω和圆环半径R一定时,摩擦系数μ越大,珠子运动的最大角度位置越小;角速度ω和摩擦系数μ一定时,圆环半径R越大,珠子运动的最大角度位置越小。特征时间与角速度ω及摩擦系数μ有关,摩擦系数μ一定时,角速度ω越大,特征时间越小;角速度ω一定时,摩擦系数μ越大,特征时间越大。The circle rotates around an axis perpendicular to the diameter,with the bead inside the rotating circle,allowing the bead to roll in the grooves inside the ring.Dynamics analysis of beads using MATLAB simulation,the results show that when the friction coefficientμand the radius of the ring R,the greater the angular velocityωof the rotation of the ring,the greater the maximum angular position of the bead movement.When the angular velocityωand friction coefficientμ,the larger the radius of the ring,the smaller the maximum angular position of the bead movement.The characteristic time is related to the angular velocityωand the friction coefficientμ,the friction coefficientμa certain time,the larger the angular velocityω,the smaller the characteristic time;when the angular velocityωis fixed,the greater the friction coefficientμ,the larger the characteristic time.

关 键 词：珠子 动力学 仿真 MATLAB 

分 类 号：O4-33[理学—物理] O311.1