Effects of gear mesh fluctuation and defaults on the dynamic behavior of two-stage straight bevel system

Driss, Yassine; Hammami, Adnène; Walha, Lassâad; Haddar, Mohamed

doi:10.1016/j.mechmachtheory.2014.07.013

Cited by 51 publications

(18 citation statements)

References 7 publications

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“…the periodic entrance to the zone of meshing and exit from it of either a pair of teeth or two pairs of teeth [15 -17], or periodic changes in support rigidity [18]. As a result of these periodic fluctuations, the stiffness of the mesh changes which affects the elastic system of the entire engine together with other gears which are in the elastic system leading to their excitation [19][20][21][22].…”

Section: Problem Statement and Assumptionsmentioning

confidence: 99%

Methods of Vibration Control in Elastic Systems With Gears

Курушин

Balyakin

Kurushin

2015

Procedia Engineering

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In this research, an analytical solution of the dynamic excitation of elastic system depending on parametric changes in the stiffness of teeth during engagement is presented. It is shown that the main source of excitation in a differential gear is the central internal gear, and the intensity of the excitation depends on the manufacturing accuracy of the tooth profile. With increase of the flank size on the addendum of the sun gear more than a particular value, vibration levels in the gear increases. Introduction of optimal value of pitch variation in gear wheel reduces vibration to minimum.

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Section: Problem Statement and Assumptionsmentioning

confidence: 99%

Methods of Vibration Control in Elastic Systems With Gears

Курушин

Balyakin

Kurushin

2015

Procedia Engineering

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“…Xu et al [9,10] constructed the bending-torsion-axial coupling dynamic model of the multi-freedom spiral bevel gear through the lumped mass method and then studied the chaotic and bifurcation properties of the system. Yassine et al [11] constructed a dynamic model of a two-stage bevel gear transmission system, mainly considering the effect of the time-varying meshing stiffness. e Newmark numerical algorithm was utilised to solve the equations, and the dynamic features of the system were analysed in the time domain and the frequency domain.…”

Section: Introductionmentioning

confidence: 99%

Modelling and Dynamic Analysis of the Spiral Bevel Gear‐Shaft‐Bearing‐Gearbox Coupling System

Zhu

Chen

Zhu

et al. 2019

Mathematical Problems in Engineering

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To accurately study the dynamic characteristics of the spiral bevel gear transmission system in a helicopter tail transmission system, the finite element model of the gear shaft was established by a Timoshenko beam element, and the mechanical model of the spiral bevel gear was created by the lumped mass method. The substructure method is employed to extract the dynamic parameters from the gearbox’s finite element model, and the dynamic model of the spiral bevel gear-shaft-bearing-gearbox coupling system was built according to the interface coordination conditions. In the model, the influences of time-varying stiffness, a time-varying transmission error, gearbox flexibility, unbalance excitation, and a flexible shaft and bearing support on the system vibration were taken into account simultaneously. On this basis, the dynamic differential equations of the full coupling system of the spiral bevel gear were derived, and the effects of the gearbox flexibility, the shaft angle, and the unbalance on the dynamic properties of the system were analysed. The results show that the gearbox flexibility can reduce the gear meshing force and bearing force, in which there is a more significant impact on the bearing force. The shaft angle affects the position, size, and direction of the system’s axis trajectory. Meanwhile, the meshing force and the bearing force of the system are also varied because of the various pitch angles of the driving and driven gears under different shaft angles. The unbalance of the gear shaft has an effect on the vibration of the spiral bevel gear transmission system in all directions, wherein the influence on the torsional vibration is the most significant, and the influence increases as the unbalance rises. The unbalance of the gear shaft also affects the meshing force and bearing force, which increases as the rotational speed rises. This research provides a theoretical basis to optimize dynamic performance and reduce the vibration and noise of a spiral bevel gear full coupling system.

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“…Walha et al [35] analyzed the nonlinear dynamic system response by developing a 12 degree-of-freedom gear dynamic model that takes into account the meshing stiffness and gap changes with time. Yassine et al [36] calculated the dynamic response of vibrations by using the Newmark method, which involves step-by-step time integration, and considers the periodic fluctuations of the mesh stiffness, eccentricity defects, profile errors, and cracked teeth.…”

Section: Introductionmentioning

confidence: 99%

Joint Amplitude and Frequency Demodulation Analysis Based on Variational Mode Decomposition for Multifault Diagnosis of a Multistage Reducer

Pang

Zhao-jian

2018

Shock and Vibration

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Multistage reducer vibration signals have complicated spectral structures owing to the amplitude and frequency modulations of gear damage-induced vibrations and the multiplicative amplitude modulation effect caused by time-varying vibration transfer paths (in the case of local gear damage) when the multistage reducer contains both planetary and spur gears. Moreover, the difference between the vibration energies of these gears increases the difficulty of fault feature extraction when multiple failures occur in the reducer. As the meshing frequency of each gear group often varies significantly, variational mode decomposition can be performed to decompose the vibration signal according to frequency, enabling separation of the vibration signals of the spur and planetary gears. The common fault features of these gears can be extracted from the spectrum of the amplitude demodulation envelope. To verify the effectiveness of this method, we first analyzed a simulation signal, and then utilized the experimental signals from a laboratory multistage reducer for verification. In the multistage reducer simulation, we considered the amplitude and frequency modulation of the gear damage and transfer paths. In the experimental verification, we processed local faults (broken teeth) and uniform faults (uniform wear) on the sun gear and the spur gear of the planetary gear separately.

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Effects of gear mesh fluctuation and defaults on the dynamic behavior of two-stage straight bevel system

Cited by 51 publications

References 7 publications

Methods of Vibration Control in Elastic Systems With Gears

Methods of Vibration Control in Elastic Systems With Gears

Modelling and Dynamic Analysis of the Spiral Bevel Gear‐Shaft‐Bearing‐Gearbox Coupling System

Joint Amplitude and Frequency Demodulation Analysis Based on Variational Mode Decomposition for Multifault Diagnosis of a Multistage Reducer

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