双重三要素型转子吸振器抑振性能的稳定性分析

Stability Analysis of Vibration Suppression Performance of Double Three-element Rotor Absorber

利用转子动力学方法对双重三要素型吸振器-转子系统进行动力学建模,并基于局部灵敏度分析法建立了灵敏度评价模型,分析了最优抑振性能对吸振器参数、不平衡力、安装位置的灵敏度,探讨了吸振器抑振性能的稳定性。结果显示:当参数偏离系数为-0.35时,最优抑振性能对两个单体吸振器质量的灵敏度分别为0.54和0.36,而对串联刚度的灵敏度仅为0.03和0.12。整体上看,固有频率较大的单体吸振器的参数灵敏度系数相对较小。不平衡力增大时,系数均为正值。存在安装位置误差的情况下,吸振器使用时的安装位置若靠近优化时的安装位置,其灵敏度系数降低至0.05;而远离时,灵敏度系数提高至1.58。因此,在吸振器的参数中,质量对最优抑振性能的稳定性影响最大,而串联刚度的影响最小。固有频率较小的单体吸振器的参数对稳定性影响较大。使用安装位置距离优化时的安装位置越接近,其稳定性越高。

Based on the dynamic modeling of the double three-element vibration absorption-rotor system,the sensitivity evaluation model is established according to the local sensitivity analysis method.The sensitivity of the optimal vibration suppression performance to the parameters,unbalance force and installation position of the vibration absorber is analyzed.The stability of the vibration suppres-sion performance of the vibration absorber is discussed.The results show that when the parameter deviation coefficient is-0.35,the sensitivity of the optimal vibration suppression performance to the mass of the two individual vibration absorbers is 0.54 and 0.36,and the sensitivity to the series stiffness is only 0.03 and 0.12.On the whole,the sensitivity coefficient of the parameters of the single ab-sorber with larger natural frequency is smaller.When the unbalance force increases,the sensitivity coefficients are also positive.When there is an error in the installation position,the sensitivity coefficient of the vibration absorber is as low as 0.05 when the installation position is close to the optimized installation position,and the sensitivity is as high as 1.58 when the installation position is far from the optimized installation position.The conclusion is that the mass has the greatest influence on the stability of the optimal vibration sup-pression performance,and the series stiffness has the least influence.The parameters of the individual vibration absorber with small natural frequency have great influence on the stability.The closer the installation position is to the optimized installation position,the higher the stability.