新型刚体进动演示仪及其现象分析  

New Type of Instrument for Gyroscope's Precession and Analysis on Its Dynamical Phenomena

作　　者：王克起[1] 杨吉生[1] 张宝丰[1] 

机构地区：[1]天津大学物理系,天津300072

出　　处：《天津师范大学学报（自然科学版）》2001年第3期36-38,共3页Journal of Tianjin Normal University：Natural Science Edition

基　　金：天津市自然科学基金资助项目 (983 60 13 12 ;0 0 3 60 4611)

摘　　要：对新型的教学用刚体进动演示仪 ,建立了其动力学模型以分析其动力学机理 .通过瞬时平衡点分岔分析发现 :直立现象的原因是由于系统的有接近 π2 的稳定瞬时平衡点 ,而存在两种倾翻可能 (内倾或外倾 )For a new type of instrument used for showing precession of stiff body in teaching activity,the dynamical model is modeled to study the mechanism of its dynamical phenomena. By analyzing the bifurcation of its transient equilibrium, it is found that the reason of the standing up phenomenon is that the system has stable transient equilibrium near to π2 while the two possibilities for the gyroscope to tilt inward or outward is due to the bifurcation of the transient equilibrium.

关 键 词：刚体进运演示仪 非线性动力学机理 瞬时平衡点 分岔 动力学模型 稳定性分析 

分 类 号：O313.3[理学—一般力学与力学基础]