航空发动机自带冠叶片减振特性研究

摘 要：将自带冠叶片模化为质量弹簧模型。自带冠叶片减振主要是由于冠间碰撞和摩擦的组合运动来实现的，因此本文将冠间的接触简化为带对称间隙的弹簧阻尼模型，摩擦模型采用Sgn模型，从而建立该系统的动力学方程，进而采用Runge-Kutta数值方法求解系统的动力学方程。本文主要探讨了冠间间隙、刚度比、接触角度、摩擦系数等多种参数对减振效果的影响。结果表明：叶片的振动能量与冠间间隙、刚度比、接触角度、摩擦系数等参数有关，参数选取要考虑工作转速的范围。冠间的碰摩组合运动为硬式分段线性的非线性振动，因此本文同时采用Poincaré映射图和频谱图等方法对系统的非线性特性进行了一定的研究。

Damped vibration characteristics of blades with tips of an aero-engine

A blade with tips was modeled as a mass with springs here. Damped vibration of blades with tips was re- alized due to combined motions of impact and friction between blades with tips, so the friction between blades with tips could be modeled a spring and damping model with symmetry gap. Sgn contact model was used, thus the dynamical equa- tion of the system was established, and the equation was solved by using Runge-Kutta numerical method. The effects of parameters such as, gap of tips, stiffness ratio, contact angle, friction coefficient, etc. , on damping were discussed. The results showed that the parameters had important effects on vibration energy, selecting parameter was subjected to the range of rotating speed. The combined motion of impact and friction between blades with tips produced a hard piecewise linear vibration which was actually nonlinear, so the nonlinear dynamic characteristics of the system were studied by means of Poincare graph and frequency spectrum etc.