多路分流齿轮传动系统的非线性振动特性研究

由于齿侧间隙和时变刚度等因素的影响,导致多路分流齿轮传动系统在运转过程中表现出次谐、超谐和混沌等非线性振动特性。为确认不同振源激励产生的响应强度,需要开展多路分流齿轮传动系统非线性振动特性研究。在考虑齿侧间隙、时变刚度和综合传动误差等因素的情况下,建立多路分流齿轮传动系统非线性动力学模型,采用四阶变步长龙格-库塔数值法求解多路分流齿轮传动系统的非线性振动特性,获得不同状态下多路分流齿轮传动系统的位移响应时间历程、相图、庞加莱映射图和快速傅里叶变换频谱图。研究结果表明,在不同工况条件下,多路分流齿轮传动系统会出现简谐、超谐、拟周期、混沌等多种非线性振动形式。所做研究为多路分流齿轮传动系统的振动控制及动态分流均衡设计提供了参考。

Research on Nonlinear Vibration Characteristics of Multi channel Shunt Gear Trainsmission System

Due to the influence of the flank clearance and time varying stiffness,the multi channel shunt gear transmission system exhibits nonlinear vibration characteristics such as sub harmonic,super harmonic and chaotic characteristics during operation.In order to confirm the response intensity generated by excitations of different vibration sources,it is necessary to carry out a study on nonlinear vibration characteristics of multi channel shunt gear transmission system.In consideration of the factors of flank clearance,time varying stiffness and comprehensive transmission error,the nonlinear dynamic model of multi channel shunt gear transmission system was established.The fourth order variable step Runge Kutta numerical method was used to solve the nonlinear vibration characteristics of the multi channel shunt gear transmission system.The displacement response time history,phase diagram,Poincare map and the fast Fourier transform spectrogram of multi channel shunt gear transmission system under different conditions were obtained.The findings show that under different working conditions,the multi channel shunt gear transmission system will have many nonlinear vibration forms such as simple harmonic,ultra harmonic,quasi periodic and chaotic characteristics.The study provided a reference for the vibration control and dynamic shunt balanced design of multi channel shunt gear transmission system.