摘要
考虑齿轮啮合动态刚度、传递误差、齿侧间隙等非线性因素,将时变刚度按5次谐波展开,齿侧间隙按3次多项式拟合,运用多尺度方法分析了单对直齿轮传动系统的谐波共振响应特性,讨论了系统在非共振硬激励下消去长期项的条件,给出了系统中存在的多种频率因子,发现了系统中存在2阶、3阶超谐波共振和1/2阶、1/3阶次谐波共振,推导了稳态振动下的频率响应方程,并绘制了频率响应曲线,分析了静态激励、动态激励、参数激励以及系统中阻尼对稳态响应的不同影响作用。
A nonlinear dynamic model of spur gear system with time-varying stiffness, transmission error and tooth backlash is used to investigate the dynamic behavior of the system by means of multi-scale approach. The time-varying stiffness is expanded in fifth-order harmonics as well as the tooth backlash is fitted as three-order polynomail. The conditions for eliminating long term of the system under the case of nonsyntonic excitations are discussed. It is found that secondary and triple order ultra harmonic and one-half and one-third-order sub harmonic exist in the systems. The frequencyresonance equations and corresponding curves of the steady-state renounce of the above-mentioned harmonics are obtained. The different influences on resonances of different harmonics by interior, exterior, parametric excitations and damping are illuminated.
出处
《机械设计与研究》
CSCD
北大核心
2005年第4期43-46,共4页
Machine Design And Research
基金
霍英东青年教师基金资助项目(71049)中国博士后基金资助项目(2003033321)
关键词
时变刚度
传递误差
间隙
谐波共振
多尺度法
time-varying stiffness
transmission error
tooth backlash
harmonious resonance
multi-scale approach
