皮带驱动机构的1／3次亚谐共振分析  

STUDY ON 1/3 SUBHARMONIC RESONANT OF THE BELT DRIVER MECHANISM

作　　者：李高峰[1] 杨志安[2] 

机构地区：[1]河北理工大学机械工程学院,唐山063000 [2]唐山学院唐山市结构与振动工程实验室,唐山063000

出　　处：《机械强度》2008年第3期371-375,共5页Journal of Mechanical Strength

摘　　要：应用拉格朗日方程,得到皮带驱动机构的非线性振动微分方程,根据非线性振动的多尺度解法,得到系统满足1/3次亚谐共振情况的一次近似解以及对应的定常解,并对其进行数值计算,分析带的长度和横截面积、外激力、谐调值、系统阻尼等对系统的影响,揭示一些新的动力学现象。The nonlinear vibration differential equation for vibration the belt driver mechanism is derived by means of Lagrange equation. By the method of multipul scales the first approximate solution for steady state solutions of the 1/3 subharmonic resonance is obtained. Numerical analysis on the influences of the length, cross section area, external excitation, detuning, and damping on subharmonic resonance is carried out. Some new dynamical phenomena are revealed.

关 键 词：皮带 非线性振动 多尺度法 1/3次亚谐 

分 类 号：O321[理学—一般力学与力学基础] TH132.32[理学—力学]