一种基于模态的叶片缘板阻尼器减振设计方法

To solve the problem of vibration-reduction design for underplatform dampers in aircraft engine, based on the single degree of freedom model, an effective method of vibration-reduction analysis was proposed without the need for conducting complex time-consuming nonlinear response analysis.Using a type of semi-circular damper structure, in the light of the normalized equivalent theory, the rotor blade with underplatform dampers has been simplified to the single degree of freedom model represented by lumped parameters.Introducing the local micro-slip model and stiffness ratio factor, the nonlinear friction force equations were derived for different dry friction models.From the perspective of the vibration stress of the rotor blade, the characteristic curve of damping ratio for underplatform dampers has been calculated.The feasibility and accuracy of the proposed method were verified by comparing the results of energy method and harmonic balance method, and the variation rule of damping ratio with the relevant design parameters was obtained.As for the model in this paper, given that the amplitude of vibration stress is 50MPa, the optimal mass of underplatform damper is about 7.34g, and the peak damping ratio is about 0.33%, providing a reference for the parametric design of dampers.