| 大幅角单摆振动周期的高精度多方法研究 |
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| 引用本文： | 周越,赵诚嘉,刘汉发,张桢,史友进. 大幅角单摆振动周期的高精度多方法研究[J]. 盐城工学院学报(自然科学版), 2011, 24(2): 14-16 |
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| 作者姓名： | 周越 赵诚嘉 刘汉发 张桢 史友进 |
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| 作者单位： | 1. 盐城工学院机械工程学院,江苏盐城,224051
2. 盐城工学院基础教学部,江苏盐城,224051 |
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| 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.
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| 关 键 词： | 大摆角单摆 振动周期 微分方程 级数 数值积分 |
Precision Multi- method Study on Large Swing Angle Simple Pendulum Vibration Period |
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| ZHOU Yue,ZHAO Cheng-ji,LIU Han-f,ZHANG Zhen,SHI You-jin. Precision Multi- method Study on Large Swing Angle Simple Pendulum Vibration Period[J]. Journal of Yancheng Institute of Technology(Natural Science Edition), 2011, 24(2): 14-16 |
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| Authors: | ZHOU Yue ZHAO Cheng-ji LIU Han-f ZHANG Zhen SHI You-jin |
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| Affiliation: | ZHOU Yue1,ZHAO Cheng-jia1,LIU Han-fa1,ZHANG Zhen1,SHI You-jin2 (1.School of Mechanical Engineering,Yancheng Institute of Technology,Jiangsu Yancheng 224051,China,2.Department of Fundamental Sciences Teaching,China) |
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| Abstract: | 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. |
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| Keywords: | large swing angle simple pendulum vibration period differential equation series numerical integration |
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