Nonlinear Dynamics on Rubbing of a Blade-Rotor System

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (20) : 172-177.

Liu Xin1, 2, Zhang Huabiao1, Sun Xiaolei1, Zhan Chuanlin1, Zhao Qingjun1,3

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Abstract

As a kind of common failure of the rotating machines, rubbing could lead to catastrophic consequences such as instability of the rotor or blade damages. Rubbing between blades and casing is investigated in this paper. The blades are simplified as cantilever beams with centrifugal stiffening effect, while the blade/casing contact is modeled by Hertz contact force and an expression of blade/casing contact force has been derived. Based on the derived expression, influence of various parameters to the contact force is analyzed, such as the rotating speed, cross section of blade, length of blade and bending stiffness of blade. The results show that blade with shorter length and larger moment of inertia or under higher rotating speed will lead to greater contact force on the casing. Meanwhile, a blade-rotor/casing rubbing model is derived with the given expression of contact force and numeric simulations with this model are also conducted. The results show that the responses on the spectrum consist of synchronous frequency, reverse precession frequencies and their linear combinations. It is also observed that the blades can lead to side frequencies near the main frequencies. Different kinds of side frequencies are observed under different angular speeds. When the reverse precession frequencies are nearly linear with the angular speed, the side frequencies are also linear with the angular speed as well as the number of blades.

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Liu Xin1, 2, Zhang Huabiao1, Sun Xiaolei1, Zhan Chuanlin1, Zhao Qingjun1,3. Nonlinear Dynamics on Rubbing of a Blade-Rotor System[J]. Journal of Vibration and Shock, 2016, 35(20): 172-177

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