齿轮传动系统的非线性冲击动力学行为分析

陈思雨 唐进元

振动与冲击 ›› 2009, Vol. 28 ›› Issue (4) : 70-75.

PDF(1312 KB)
PDF(1312 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (4) : 70-75.
论文

齿轮传动系统的非线性冲击动力学行为分析

  • 陈思雨 唐进元
作者信息 +

ANALYSIS OF IMPACT AND NONLINEAR DYNAMIC BEHAVIORS OF GEAR PAIR SYSTEM WITH TIME VARYING STIFFNESS AND FRICTION

  • Chen Siyu Tang Jinyuan
Author information +
文章历史 +

摘要

主要研究在考虑时变刚度和摩擦时,轮齿间隙及载荷参数对齿轮系统冲击动力学响应的影响,首次研究了齿轮传动非线性动力学的脱啮冲击、周期解的形成过程及对应的非光滑系统冲击中出现的切分岔行为。含时变参数系统的解析求解非常困难,本文根据间隙函数,将相平面划分为三个区域并构建了与之相对应的Poincare映射,结合谐波平衡法及序列二次规划方法求得了区域 和 内的解,利用数值仿真的方法分析了载荷参数、初始条件等因素对齿轮冲击响应的影响,本文研究表明: 1)随着常量载荷 的增大,脱齿运行的时间减小,且啮合冲击的速度也逐渐减小,齿轮的运动也相对平稳,同时出现切分岔的初始速度的绝对值迅速增大;2) 随着载荷波动分量 的增大,脱齿运行的时间减小,但是啮合冲击的速度也相应的有所增大,轮齿间冲击的冲击比较剧烈。

Abstract

Impact and nonlinear dynamic behaviors of gear pair system with combining time varying stiffness and friction is developed. Firstly The phase plane is divided into three different part to construct the Poincare mapping structure of piecewise linear gear pair system. And then the influences of load parameters and initial values on the impact and nonlinear dynamic behaviors of gear pair system are analyzed in numerical method. The results show that: 1) with the increasing of constant load , the interval of off meshing and the impact velocity are decrease, and the gears has steady movement. The initial value of appearance of grazing bifurcation is increase, 2)inversely with the increasing of fluctuating component of load , impact velocity is increase and the interval of off meshing is decrease, and the gears has instability movement.

Key words

impact friction time-varying stiffness backlash grazing bifurcation

引用本文

导出引用
陈思雨 唐进元.
齿轮传动系统的非线性冲击动力学行为分析[J]. 振动与冲击, 2009, 28(4): 70-75
Chen Siyu Tang Jinyuan.
ANALYSIS OF IMPACT AND NONLINEAR DYNAMIC BEHAVIORS OF GEAR PAIR SYSTEM WITH TIME VARYING STIFFNESS AND FRICTION[J]. Journal of Vibration and Shock, 2009, 28(4): 70-75

PDF(1312 KB)

2951

Accesses

0

Citation

Detail

段落导航
相关文章

/