基于三线摆运动完整描述的转动惯量测量方法  

Measuring Moment of Inertia Based on the Complete Description of Three-line Pendulum Movement

作　　者：赵学荟[1] 侯文[1] 陈鸿[1] 陈闽鄂[2] 

机构地区：[1]中北大学仪器科学与动态测试教育部重点实验室,太原030051 [2]九江职业技术学院,江西九江330027

出　　处：《弹箭与制导学报》2006年第4期362-364,共3页Journal of Projectiles,Rockets,Missiles and Guidance

摘　　要：为了避免近似解析解带来的误差,文中利用拉格朗日方程,建立了可完整描述三线摆运动的微分方程,并利用数值分析方法来求解方程。最后通过算例分析了转动惯量与摆动周期的关系曲线以及摆盘、摆线尺寸对测量结果的影响。In order to avoid the error caused by those proximate analytical solutions, this paper presents the differential equation, by using Lagrange equation, for completely describing three-line pendulum movement, and makes advantage of computational mathematics to solve the equation. Finally, through conducting some numerical examples, it analyzes the relative curve of the moment of inertia in respect to oscillation period, and the measurement solutions to the diameters of dish and tile lengths of lines.

关 键 词：对称式三线摆 转动惯量 摆动周期 拉格朗日方程 

分 类 号：TJ06[兵器科学与技术—兵器发射理论与技术]