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光线示波器振子非线性动力学分析
引用本文:杨志安,李然.光线示波器振子非线性动力学分析[J].唐山学院学报,2014,27(6):48-50.
作者姓名:杨志安  李然
作者单位:1. 唐山学院 唐山市结构与振动工程重点实验室
2. 唐山学院 装备制造系,河北 唐山,063000
摘    要:通过引入光线示波器振子系统中的非线性恢复力偶矩建立非线性振动方程,分析可以诱发振子系统主共振的条件。应用多尺度法得到振子系统满足主共振情况下的近似解,并进行数值计算。讨论磁感应强度、电流信号强度、阻尼对振子系统的影响,表明增大振子系统的磁感应强度或电流信号的强度可以增大系统主共振的振幅和共振区,增大振子系统阻尼可以减小系统主共振的振幅和共振区,反之亦然。

关 键 词:光线示波器  振子  非线性恢复力偶矩  多尺度法  主共振

A Nonlinear Dynamic Analysis of the Ray Oscilloscope Vibrator
YANG Zhi-an and LI Ran.A Nonlinear Dynamic Analysis of the Ray Oscilloscope Vibrator[J].Journal of Tangshan College,2014,27(6):48-50.
Authors:YANG Zhi-an and LI Ran
Institution:Key Lab of Structural and Vibration Engineering of Tangshan;Department of Equipment Manufacture, Tangshan College, Tangshan 063020, China
Abstract:Through introducing the nonlinear restoring couple moment in the ray vibrator oscilloscope system,a nonlinear vibration equation is established and conditions that can bring out the primary resonance of the vibrator system are analyzed.The method of multiple scales is employed to obtain the approximate solution for the primary resonance of the vibrator system and numerical calculation is made.The authors of this paper discuss the influence of the magnetic induction intensity,current signal strength,the damping on the vibration system,which shows that the increase of the magnetic induction intensity or the current signal strength of the vibration system will lead to the rise in the primary resonance amplitude and primary resonance region of the system and that the increase of the damping of the vibration system will lead to the decrease of the primary resonance amplitude and primary resonance region of the system and vice versa.
Keywords:ray oscilloscope  vibrator  nonlinear restoring couple moment  method of multiple scales  primary resonance
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