一种转子动力吸振器的参数优化方法

对用于抑制转子系统启机过临界转速时过大振动的动力吸振器进行参数优化设计,以达到最优抑振目的。利用有限元方法建立动力吸振器-转子耦合系统的动力学方程,求得耦合系统的半数值半解析的响应表达式。设计优化策略利用响应解与限边界的坐标轮换法相结合,寻找动力吸振器的最佳设计变量；将所得最优参数的动力吸振器与常规优化设计方法设计的动力吸振器的抑振性能进行对比,并分析动力吸振器对参数最优偏离的敏感性。结果表明:该参数优化方法优化的动力吸振器能降低1阶共振幅值达45.4%,说明了该方法的有效性；该方法比两种有效的常规优化方法优化的动力吸振器的抑振效果分别高11.2%、9%,可见其优化效果的优异性；与阻尼最优偏离相比,该参数优化方法优化的动力吸振器的抑振性能对刚度最优偏离具有更高的敏感性。 

Parameter optimization method of rotor dynamic vibration absorber

The parameters of the dynamic vibration absorber used to suppress the excessive vibration of the rotor system were designed to optimize the vibration suppression. The dynamic equation of the dynamic vibration absorber-rotor coupling system was established by using the finite element method, and the response expression of the half-numerical half-resolution of the coupled system was obtained. The design optimization strategy was used to find the best design variable of the dynamic vibration absorber by combining the coordinate solution of the response solution and the bounded boundary. The sensitivity of the dynamic vibration absorber to the optimal deviation of different parameters was analyzed by comparing with the existing optimal design method of dynamic vibration absorber. The results show that the optimized the dynamic vibration absorber can reduce the amplitude of first order resonance by 45.4%, which shows the effectiveness of the method; this method is 11.2% and 9% higher than that of two effective conventional optimization methods, which can optimize the optimization effect of the dynamic vibration absorber; compared with the damped optimal deviation, the vibration suppression performance of the dynamic optimized vibration absorber has a higher sensitivity the optimal deviation of stiffness.