A novel approach for calculating no-load static transmission error based on measured discrete tooth surfaces

Li, Haonan; Chen, Siyu; Tang, Jinyuan; Chen, Weitao; Ouyang, Hongwu

doi:10.1016/j.mechmachtheory.2019.03.044

Cited by 23 publications

(10 citation statements)

References 17 publications

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“…In this figure, the horizontal label r pi (i = 1,2) means the radius of the profile from the measuring point to the center of the gear body. Then, as illustrated in Figure 2, the unloaded STE of the gear pair with respect to the rotation angle of the input shaft can be calculated geometrically based on the tooth contact analysis (Li et al, 2019). One should note that the transmission error is usually defined as the difference between the actual and the theoretical angular position of the output gear, which is an angular parameter.…”

Section: Consideration Of Gear Internal Excitationsmentioning

confidence: 99%

“…The general formulas were obtained that enable calculation of STE excitations with any form of plastic deformation on any number of teeth for spur and helical gears with any contact ratios. Luo and Li (2019) considered the tooth profile modification as a part of the STE of a gear transmission system and studied its effects on the dynamic characteristics under thermoelastic coupling condition. Mark (2018) investigated the tooth-meshingharmonic amplitudes of STE expressed by the superposition of Fourier transforms of the quantities and analyzed the effects of various tooth-working-surface modifications and tooth-pair stiffnesses on transmission error generation.…”

Section: Introductionmentioning

confidence: 99%

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Numerical and experimental investigation of a spur gear pair with unloaded static transmission error

Lei

Kong

Chen

et al. 2020

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Purpose The purpose of this paper is to investigate the dynamic responses of a spur gear pair with unloaded static transmission error (STE) excitation numerically and experimentally and the influences of the system factors including mesh stiffness, error excitation and torque on the dynamic transmission error (DTE). Design/methodology/approach A simple lumped parameters dynamic model of a gear pair considering time-varying mesh stiffness, backlash and unloaded STE excitation is developed. The STE is calculated from the measured tooth profile deviation under the unloaded condition. A four-square gear test rig is designed to measure and analyze the DTE and vibration responses of the gear pair. The dynamic responses of the gear transmission are studied numerically and experimentally. Findings The predicted numerical DTE matches well with the experimental results. When the real unloaded STE excitation without any approximation is used, the dynamic response is dominated by the mesh frequency and its high order harmonic components, which may not be result caused by the assembling error. The sub-harmonic and super-harmonic resonant behaviors are excited because of the high order harmonic components of STE. It will not certainly prevent the separations of mesh teeth when the gear pair is under the condition of high speed and heavy load. Originality/value This study helps to improve the modeling method of the dynamic analysis of spur gear transmission and provide some reference for the understanding of the influence of mesh stiffness, STE excitation and system torque on the vibration behaviors.

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Section: Consideration Of Gear Internal Excitationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical and experimental investigation of a spur gear pair with unloaded static transmission error

Lei

Kong

Chen

et al. 2020

Self Cite

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“…The gear transmission system has the advantages of compact structure, high carrying capacity, and high efficiency, and it is one of the most widely used transmission modes in the modern industry. Although various fields have different requirements for using the gear transmission system, the most fundamental requirement is high stability and high reliability [1]. There are many potential failure modes in a gear transmission system due to uncertain factors such as load cases, geometric parameters, and material properties [2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Fatigue Reliability Analysis of Transmission Gear Considering Failure Dependence

Yong-hua¹,

Bai²,

Shi³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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Multiple failure modes and strength degradation are usually inherent in the gear transmission system, which brings new challenges for conducting fatigue reliability analysis and design. This paper proposes a novel dynamic fatigue reliability analysis method for failure dependence and strength degradation based on the combination of the Copula function and Gamma process. Firstly, the dynamic simulation model of the gear transmission system is established to obtain the dynamic stress-time history. The Gamma process is then used to describe the strength degradation to establish the dynamic stress-strength interference model. The marginal distribution functions of tooth contact fatigue and dedendum bending fatigue are calculated respectively based on the dynamic interference model. Finally, the joint distribution of the two failure modes can be obtained by the t-Copula function to characterize the failure dependence, and so the dynamic fatigue reliability considering failure dependence can be estimated. The effectiveness of the proposed method is illustrated with examples. The results reveal the temporal law of reliability and the effects of failure dependence on dynamic fatigue reliability.

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“…Guo F et al 21 put forward a unique way to analyze the vibration response of helical gears under random manufacturing errors. Li HN et al 22 calculated the unloaded static drive errors. Zhang HB et al 23 studied the single and comprehensive effects of several nonlinear excitations on the load distribution of the compound planetary gear transmission.…”

Section: Introductionmentioning

confidence: 99%

Research on dynamic load sharing characteristics of double input face gear split-parallel transmission system

Song

Zhao

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The face gear power-split system has huge superiorities over the traditional transmission form in the application of modern rotorcraft, and it has become the research trend of the industry in recent years. Thus this paper took the double input face gear split-parallel transmission system used in the rotorcraft as the research target, and established its dynamics model through the lumped parameter theory. Based on the Newtonian second law, the dynamics equations were built and solved to gain the meshing forces and load sharing coefficients of the transmission system. Simultaneously, the impacts of the eccentric errors, support stiffness, and torsional stiffness on the load sharing characteristics were studied. The results show that the meshing forces and load sharing coefficients of each gear pair have periodic changes; the eccentric errors of each drive stage gear have only a significant effect on the corresponding drive stage. Moreover, the changes in the support stiffness of the split-torque shafts and double gear shafts mainly affect the load distribution of the parallel stage, and the shaft torsional stiffness is less sensitively to maintain load balance. In addition, the increment of the shaft stiffness increases the load sharing coefficients of the corresponding gear pairs.

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A novel approach for calculating no-load static transmission error based on measured discrete tooth surfaces

Cited by 23 publications

References 17 publications

Numerical and experimental investigation of a spur gear pair with unloaded static transmission error

Numerical and experimental investigation of a spur gear pair with unloaded static transmission error

Dynamic Fatigue Reliability Analysis of Transmission Gear Considering Failure Dependence

Research on dynamic load sharing characteristics of double input face gear split-parallel transmission system

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