基于MATLAB的单摆运动设计.doc

M atlab 仿真技术作品报告题目: MATLAB 在单摆实验中的应用系(院): 专业: 班级: 学号: 姓名: 指导教师: 学年学期: 2012~2013 学年第1 学期 2012 年 11月 18日设计任务书课题名称 MATLAB 在单摆实验中的应用设计目的 1. 单摆问题,小球在来回摆动的过程中不仅受到外界阻力等环境影响,而且其摆动过程中的角度也是很难确定的,通过 Matlab 来模拟这个过程,这为实际物理实验的展开提供了方便; 2. 综合运用专业及基础知识,解决实际工程技术问题的能力; 3. 学习资料的收集与整理,学会撰写报告。实验环境 1. 微型电子计算机( PC ); 2. 安装 Windows 2000 以上操作系统, MATLAB 等开发工具。任务要求 MATLAB ,研究无阻尼状态下单摆的大摆角运动 。 GUI 界面,实现人机交互的各项功能。 ,仿真小球做单摆的过程。 5. 利用课余时间去图书馆或上网查阅课题相关资料,深入理解课题含义及设计要求, 注意材料收集与整理; 6. 结束后, 及时提交作品报告( 含纸质稿、电子稿), 要求格式规范、内容完整、结论正确,正文字数不少于 1500 字(不含代码)。摘要借助 MATLAB 计算软件, 研究无阻尼状态下单摆的大摆角运动, 给出了任意摆角下单摆运动周期的精确解。同时利用 MATLAB 函数库中的 ode45 函数,求解出大摆角下的单摆的运动方程。并利用其仿真动画形象的展现出单摆的运动规律,为单摆实验中大摆角问题的讲解提供了较好的教学辅助手段。关键词单摆模型;周期; MATLAB ; M atlab 仿真技术作品报告 1 目录一、问题的提出······································································································ 2 二、方法概述········································································································· 2 问题描述·········································································································· 2 算法基础·········································································································· 3 单摆运动周期···················································································· 3 单摆做简谐运动的条件········································································ 4 三、基于 MAT LAB 的问题求解··················································································· 5 单摆大摆角的周期精确解····················································································· 5 、单摆仿真(动画) ···························································································· 7 单摆仿真整个界面如下: ··················································································· 10 四、结论············································································································· 12 五、课程体会·········································