同轴面齿轮分汇流系统优化设计方法研究

Research on the optimal design method of coaxial surface gear shunning system

  • 摘要: 为获得精确的同轴面齿轮分汇流系统均载设计条件,针对其配齿及多目标优化设计方法进行研究。利用集中质量参数法,建立了考虑制造误差、双联轴扭转刚度、啮合刚度和阻尼等因素在内的系统45自由度弯扭耦合动力学模型。考虑系统均载及轻量化因素,求解了满足系统动态均载特性的配齿设计算例,并建立了兼顾均载特性及质量的多目标优化设计模型,并运用非支配排序遗传算法求解。结果表明,制造误差是影响系统动态均载特性的最大因素,通过配齿条件建立能够获得良好的动态均载布局,使得均载性能提高5.4%;优化后的系统均载性能较配齿条件建立前后的均载性能分别提高3.3%和8.5%。研究成果能够为系统动力学稳定性设计提供理论依据。

     

    Abstract: In order to obtain the accurate load sharing design conditions of the coaxial surface gear shunt system, the gear matching and multi-objective optimization design methods were studied. Using the centralized mass parameter method, a 45-degree-of-freedom bending-torsional coupling dynamic model of the system was established considering the manufacturing error, torsional stiffness of the double coupling, meshing stiffness, damping and other factors. Considering the factors of system load sharing and lightweight, a design example of gear matching that satisfies the dynamic load sharing characteristics of the system is solved, and a multi-objective optimization design model considering the load sharing characteristics and quality is established, and the non-dominant sequencing genetic algorithm is used to solve the problem. The results show that the manufacturing error is the biggest factor affecting the dynamic load sharing characteristics of the system, and a good dynamic load sharing layout can be obtained through the establishment of gear matching conditions, which improves the load sharing performance by 5.4%. The optimized system load sharing performance is 3.3% and 8.5% higher than that before and after the establishment of gear matching conditions, respectively. The research results can provide a theoretical basis for the design of system dynamics and stability.

     

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