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光滑圆环约束弹簧摆问题研究
引用本文:杨正波,夏清华.光滑圆环约束弹簧摆问题研究[J].襄樊学院学报,2010,31(5):33-35.
作者姓名:杨正波  夏清华
作者单位:襄樊学院,物理与电子工程学院,湖北,襄樊,441053
摘    要:通过非线性理论分析,得到光滑圆环约束弹簧摆的动力学方程,讨论不同参数条件下平衡点的类型和稳定性,并通过数值模拟作出特定参数下不同初始条件下系统相轨迹,并分析系统的运动情况.

关 键 词:约束弹簧摆  平衡点  相轨迹

Spring Pendulum System of the Bound Smooth Ring
YANG Zheng-bo,XIA Qing-hua.Spring Pendulum System of the Bound Smooth Ring[J].Journal of Xiangfan University,2010,31(5):33-35.
Authors:YANG Zheng-bo  XIA Qing-hua
Institution:(School of Physics and Electronic Engineering,Xiangfan University,Xiangfan 441053,China)
Abstract:In this paper we obtain the kinetic equation of the spring pendulum system of the bound smooth ring by theoretical analysis.The type and stability of equilibrium points under different conditions are discussed,and we draw out phase diagrams of specific parameters with different initial conditions based on numerical calculation.The motion character of the system is also presented.
Keywords:Constrained spring pendulum  Equilibrium point  Phase diagram
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