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建立了功率四分支齿轮传动系统动力学模型,基于轴单元法建立了单根转子的振动方程,依据齿轮啮合矩阵实现各转子振动方程的耦合,形成了传动系统的动力学方程,依据动力学方程求解了系统的固有频率和固有振型,得出了在给定转速下系统需进行越界阻尼设计以确保稳定工作的结论;然后分析了不同传动误差下齿轮动载系数变化情况.结果表明:传动误差对功率四分支齿轮传动系统的动载系数有比较明显的影响,随着传动误差的增加系统动载系数也增大,特别在高速级齿轮上表现更加显著.该分析方法和结论为四分支齿轮传动系统的动态优化设计奠定了基础.
The dynamics model of the power four-branch gear transmission system is established. The vibration equation of a single rotor is established based on the element-by-axis method. The coupling of vibration equations of each rotor is realized according to the meshing matrix of the gear. The dynamic equations of the transmission system are established. The natural frequencies and natural modes of the system are solved, and the conclusion is drawn that the system needs to carry out the cross-boundary damping design at a given speed to ensure the stable operation. Then the variation of gear dynamic load coefficient under different transmission errors is analyzed. The error has obvious influence on the dynamic load coefficient of the power four-branch gear transmission system, the dynamic coefficient of the system also increases with the increase of the transmission error, especially on the high-speed gear.The method and conclusion of the analysis are four branches Dynamic optimization of gear transmission system laid the foundation.