|
| 大幅角单摆振动周期的高精度多方法研究 |
| Precision Multi- method Study on Large Swing Angle Simple Pendulum Vibration Period |
| |
| DOI：10.3969/j.issn.1671-5322.2011.02.004 |
| 中文关键词: 大摆角单摆 振动周期 微分方程 级数 数值积分 |
| 英文关键词: large swing angle simple pendulum vibration period differential equation series numerical integration |
| 基金项目: |
|
| 摘要点击次数: 4395 |
| 全文下载次数: 3905 |
| 中文摘要: |
| 大摆角单摆运动及其周期问题受到许多研究者关注.系统研究了微分方程法、级数法和数值积分法分析大摆角单摆运动及其周期问题,并用MATLAB进行了数值计算和可视化.推导了4点曲线内插法公式,数值计算结果表明,4点曲线内插法精度高于线性内插法、3点抛物线法,公式简明、精确、实用. |
| 英文摘要: |
| Large swing angle motion of a simple pendulum and its vibration period problem attract attention of many researchers.The problem is studied in this paper by solving differential equation,series expression,numerical integration and numerical calculation with visualization are made by MATLAB.We derived a four-point curve interpolation formula of the period,accuration of which is higher than linear interpolation method,three-point parabola method.The formula is of concise,accurate and practical. |
|
查看全文
查看/发表评论 下载PDF阅读器 |
| 关闭 |