Nonlinear dynamic load analysis of aviation spline coupling with mass eccentricity and misalignment

Xue, Xu; Huo, Qixin; Jian, Liu; Jia, Jipeng

doi:10.1177/1687814021996511

Cited by 13 publications

(5 citation statements)

References 20 publications

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“…Therefore, the relative displacement of the meshing line of friction plate' tooth and spline's tooth is [12][13][14]:…”

Section: Dynamic Impact Force Model Considering Time Varying Clearancementioning

confidence: 99%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Pan

Lan

Wang

et al. 2023

Preprint

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Floating support friction plate is one of the critical working components in high power hydraulic disc brake (HDB). Under no braking condition, the impact between floating friction plate and the inner hub of HDB is inevitably occurs due to the teeth clearances. The impact force may increase excessively due to the expansion of clearance, which arouses the risk of teeth failure of friction plate and hub. Until now, an effective dynamic model for HDB with floating support friction plate is still lacking considering non-equally distributed clearances. In order to settle this problem, a new dynamic modelling method for HDB with floating friction plate is proposed considering the nonlinear impact due to non-equally distributed and time varying teeth clearances. In the proposed method, a nonlinear dynamic model for the entire transmission system is first established with the floating friction plate taken into consideration. Then a dynamic impact force calculation method for floating friction plate and spline of inner hub is presented, in which the coupled effect of tooth clearance expansion and indexing errors are studied. Furthermore, the influence of clearance expansion and operating conditions on the nonlinear characteristics of impact force and dynamic response is investigated. Finally, an impact force measurement experimental setup for floating friction plate and spline of the inner hub is established to verify the proposed dynamic modelling method. Results show that the predicted impact force based on the proposed method agrees well with the test data in both time domain waveform and spectrum. It is concluded that this paper presents an effective modelling method for hydraulic disc brake with floating friction plate, and the influence of nonlinear tooth clearance impact can be well studied.

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“…Therefore, the relative displacement of the meshing line of friction plate' tooth and spline's tooth is [12][13][14]:…”

Section: Dynamic Impact Force Model Considering Time Varying Clearancementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Pan

Lan

Wang

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…There are few studies on the dynamic modelling of spline couplings and gear–spline systems. Xue et al 24,25 built a nonlinear dynamic model considering the multi-tooth meshing behaviour, mass eccentricity, and misalignment of an involute spline coupling. In response to the problem of the sun gear floating equilibrium based on the spline space, the supporting rigidity of floating sun gear is usually designed as a piecewise linear function, thus simplifying the system model.…”

Section: Introductionmentioning

confidence: 99%

Dynamic modelling of gear–spline system with nonuniform spline clearance and wear evolution of spline

Sun

Shi

Yang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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The gear–spline system consisting of the internal spline of gears and the external spline of shafts is widely used in mechanical transmission systems. However, considering the nonuniform spline clearance caused by the assembly and manufacturing errors, the vibration characteristics of the system and the spline wear mechanism are still unclear. This article proposed a dynamic model of the gear–spline system with nonuniform spline clearance and wear evolution of spline. Compared with the existing models, the new contribution of this article is to reveal the coupling vibration mechanism of the gear–spline system under the condition of nonuniform spline clearance through the dynamic model. On this basis, the support stiffness characteristics and wear evolution law of the spline pair under the dynamic gear meshing force are studied. The results show that under the condition of nonuniform clearance, the displacement response of the system is modulated by the rotation frequency, and the motion trajectory tends to be chaotic. The load distribution of spline teeth and the equivalent stiffness of the spline depends on the number of loaded spline teeth, which in turn depends on the input torque and clearance distribution. In addition, the spline teeth with smaller clearance bear more loads and wear faster, and the wear causes the nonuniform clearance to gradually increase and become uniform. This study can provide theoretical guidance for revealing the vibration mechanism of the gear–spline system and calculating the support stiffness of the spline shaft.

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“…Some scholars have explored the influence law of other factors on the vibration response of the shaft system based on the coupling misalignment dynamics model, such as Shen Tu et al [13] discussed the influence law of rotational speed, damping and eccentricity parameters on the system vibration. Xue et al [14][15] explored the laws of eccentric mass, wear, and rotational speed on the dynamic load of the system. Lu et al [16] explored the laws of bearing nonlinear support on the response frequency.…”

Section: Introductionmentioning

confidence: 99%

Analysis the influence of the structure-fit-working parameters of the laminated coupling on the dynamic characteristics of the shaft system

Li,

Zhiqiang,

Chen

et al. 2023

Preprint

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The torsional vibration phenomenon of the crankshaft system can trigger faults such as burnt tile and flywheel deformation. The coupling is an important structure for regulating the torsional vibration of a shaft system. Most of the literature has only studied the effects of coupling misalignment, damping nonlinearity and excitation nonlinearity on the torsional response of the system, while ignoring the vibration bifurcation caused by the coupling structure and fit parameters. To address the above limitations, this paper establishes a torsional vibration mechanics model of crankshaft-coupling-rotor based on Lagrange dynamics. Mathematical models of coupling inclination angle, excess and torsional stiffness are constructed using the finite element method. The effects of coupling inclination angle, excess and angular velocity on the vibration bifurcation of the shaft system are discussed separately by the 4th order Runge-Kutta methods. The results show that with the increase of the inclination angle, the vibration state of the shaft system switches between chaos and divergence, which is not conducive to the torsional vibration control of the shaft system. At the same time, the increase in the excess will lead to an increase in the angular velocity of vibration, which in turn will lead to increased wear of the shaft system and bearings. In addition, after considering the nonlinear characteristics of the coupling stiffness, the vibration amplitude of the shaft system rises with the increase of the angular velocity, and the vibration state transforms from periodic to divergent. Finally, a coupling field vibration test study was carried out to verify the accuracy of the numerical model.The research results of this paper have theoretical reference value for determining the coupling structure-fit parameters and the angular velocity of the shaft system.

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Nonlinear dynamic load analysis of aviation spline coupling with mass eccentricity and misalignment

Cited by 13 publications

References 20 publications

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

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

Dynamic modelling of gear–spline system with nonuniform spline clearance and wear evolution of spline

Analysis the influence of the structure-fit-working parameters of the laminated coupling on the dynamic characteristics of the shaft system

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