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利用有限元方法得到高速列车齿轮传动系统时变啮合刚度,利用傅里叶级数模拟啮合刚度和传动误差,用多项式拟合齿侧间隙,建立考虑时变啮合刚度、传动误差与齿侧间隙等多种非线性因素的高速列车斜齿轮传动系统弯扭耦合动力学模型。结合非线性多尺度法,推导了高速列车齿轮传动系统谐波共振频率因子,利用数值积分法对齿轮传动系统动力学方程进行求解,得到了齿轮传动系统的频率响应曲线,分析了静态载荷、动态载荷与阻尼对系统谐振响应的影响。分析结果表明:齿轮传动系统中存在多种谐振频率因子,超谐共振会发生跳跃现象,谐波振动会引发系统倍频振动。当相对激励频率低于1.00时,系统波动剧烈。在列车实际运营中应制定合理的运营速度,以避免谐振的发生。
Using the finite element method to get the time-varying meshing stiffness of high-speed train gear transmission system, using the Fourier series to simulate the meshing stiffness and transmission error, using the polynomial to fit the flank gap, the establishment of the time-varying meshing stiffness, transmission error and flank clearance Dynamic and Dynamic Coupled Model of Bending and Torsion of High Speed Train Helical Gear System with Various Nonlinear Factors. Combined with nonlinear multi-scale method, the harmonic resonance frequency factor of high-speed train gear drive system is derived. The dynamic response of gear drive system is solved by numerical integral method. The frequency response curve of gear drive system is obtained. The static load, Influence of Load and Damping on System Resonance Response. The analysis results show that there are many resonance frequency factors in the gear transmission system, and the super harmonic resonance will jump. The harmonic vibration will cause the system to multiply vibration. When the relative excitation frequency is lower than 1.00, the system fluctuates violently. In the actual operation of the train should develop a reasonable speed of operation, in order to avoid the occurrence of resonance.