综合因素作用下的单摆运动分析  

Dynamic Analysis of a Simple Pendulum with MATLAB by Taking Some Drag Forces into Consideration

作　　者：鞠衍清[1] 张风雷[2] 

机构地区：[1]辽东学院机电学院,辽宁丹东118003 [2]辽东学院实验中心,辽宁丹东118003

出　　处：《辽东学院学报（自然科学版）》2010年第2期151-153,156,共4页Journal of Eastern Liaoning University:Natural Science Edition

基　　金：辽宁省教育厅科研基金项目(2009A266)

摘　　要：对摆绳阻力进行了定量分析。综合考虑单摆系统的空气阻力、摆绳重力及复摆因素后,借助MATLAB软件,用数值计算的方法对单摆运动进行了动力学描述。通过与实测数据比较发现,理论计算结果与实测值符合得很好。为此,为确定实际单摆实验的最佳摆角提出了一种依据。Air drag of the wire of a simple pendulum was quantitatively analyzed.By taking air drag forces of the wire and the ball,gravity of the wire into consideration,the dynamics of a simple pendulum as a compound pendulum was discussed by a numerical method with MATLAB.Theoretical results are in good agreement with the experimental data.Accordingly,some advice about the simple pendulum experiment is proposed.

关 键 词：单摆 摆绳 空气阻力 MATLAB 

分 类 号：O322[理学—一般力学与力学基础] O241.7[理学—力学]