重庆文理学院学报：自然科学版2011，Vol.30Issue(6)：30-35,6.
用Mathematica软件对无阻力复摆周期的研究
Investigation of period without any resistance for the compound pendulum by Mathematica
程光明 1石代蓉 2陈希明3
作者信息
- 1. 重庆市渝北区教师进修学校,重庆渝北401120
- 2. 第三军医大学西南医院,重庆沙坪坝400038
- 3. 重庆邮电大学数理学院,重庆南岸400065
- 折叠
摘要
Abstract
In this paper,we investigated periods of the compound pendulum for the physical model of homogeneous thin rod without any resistance during oscillating movements.Firstly,based on Mathematica software,we calculated the period with two different methods,namely,normal elliptic integral and sixth-order approximated elliptic integrals.By comparing them,it was confirmed that the sixth-order approximated method is only suited for the oscillation angle in the range 0°≤θ0≤40°.Secondly,the effects of several factors on the period of the compound pendulum were investigated by numerical approach from nonlinear differential equation,and the meaningful results were obtained.Especially,＂the small angle＂ was a preferable constrained in our studies.关键词
Mathematica/复摆/周期Key words
Mathematica/compound pendulum/period分类
数理科学引用本文复制引用
程光明,石代蓉,陈希明..用Mathematica软件对无阻力复摆周期的研究[J].重庆文理学院学报：自然科学版,2011,30(6):30-35,6.
