Involute spline couplings in aero-engine: Predicting nonlinear dynamic response with mass eccentricity

Abstract

This work presents a nonlinear dynamic model considering the multi-tooth meshing behaviour and mass eccentricity of an involute spline coupling to tackle the serious problem of involute spline failure, in aviation power transmission systems. The dynamic meshing force is calculated for the same. Based on this, the influence of different mass eccentricities on the nonlinear dynamic response of the spline coupling was investigated in aero-engines. The results show that when the mass eccentricity is small, its impact on the system is insignificant. When the eccentricity reaches a certain value, the quasi-periodic and chaotic state appears alternately. Meanwhile, it can be concluded that the acceleration-frequency spectrum during the multi-periodic phase is an approximation of the working frequency with the accuracy affected by multiple teeth engagements. This was validated by the vibration experiments of the involute spline coupling. The proposed model, which considers the multi-tooth meshing behaviour and the mass eccentricity provides a reference model for the dynamic analysis of similar structures. The nonlinear dynamic response results attained lay a good theoretical foundation for fretting damage analysis and precise designs for involute spline couplings.

Non-linear dynamic response of misaligned spline coupling: Theoretical modeling and experimental investigation

“…Where ξ m is meshing damping ratio, c and c 0 are working and non-working backlash respectively, which are determined from (Xue et al, 2021a). Therefore, the total meshing force of spline coupling can be expressed as…”

“…Then the meshing force of the i -th tooth pair can be described asWhere cmi is meshing damping, normalΔyi and normalΔzi are dynamic transmission error of y -direction and z -direction, and f(normalΔyi) and f(normalΔzi) is the nonlinear function of the backlash of the i -th tooth pair, which are respectively determined by equations (44)–(46)Where ξm is meshing damping ratio, c and c′ are working and non-working backlash respectively, which are determined from (Xue et al, 2021a). Therefore, the total meshing force of spline coupling can be expressed as…”

“…The transient shock and vibration behavior of axle spline coupling of high-speed train gauge changing system under different load conditions based on the 3D dynamic contact and shock analysis model was explored by Bai et al (2021). Xue et al (2021a; 2021b) established the non-linear dynamic model of spline coupling with eccentricity in aero-engine to analyze the teeth meshing force and vibration behavior under different mass eccentricities and axis misalignment. However, these works mainly focus on the motion characteristics of the large system of splined rotors, and seldom pay attention to the body of spline coupling, especially the dynamic behavior of the misaligned spline coupling.…”

Dynamic modelling for hydraulic disc brake with floating supported friction plate considering nonlinear tooth clearance impact

“…Xue et al [12] neglected the direction and position of fretting fatigue crack and considered the influence of fretting wear on fretting fatigue, and proposed a method to estimate fretting fatigue life of involute spline coupling of aeroengine. In addition, Xue et al [13,14] established the function of dynamic meshing force between multiple teeth and the nonlinear dynamic model of aeroengine involute spline coupling system with mass eccentricity and eccentricity. The nonlinear dynamic meshing force of the splined coupling of the aeroengine under different eccentricity and mass eccentricity is studied.…”

Multistage Asymmetric Rotors Coaxial Measurement Stacking Method Based on Minimization of Exciting Force

“…The unbalance of the asymmetric rotors means that centroids of the asymmetric rotors deviate from their rotation centerline so that a certain centrifugal force will be generated when the asymmetric rotors rotate at a high speed [4][5][6]. This centrifugal force is transmitted to the bearing parts such as the gearbox through the bearing base, causing the equipment to vibrate [7][8][9]. Therefore, the study of highspeed rotary equipment vibration optimization is of great significance to its development and application.…”