Influence of combined assembly error and bearing elasticity on spur gear tooth contact load distribution

Wang, J; Qin, Datong; Lim, Teik C.

doi:10.1177/0954406211399212

Cited by 12 publications

(6 citation statements)

References 15 publications

(17 reference statements)

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“…In addition, an improvement on Vijayakar’s 11 method to calculate the tooth surface deformation by combination of finite elements and contact mechanics is proposed through determining the circle radius of the contact area by the least square method. Finally, it may be noted that this study represents an extension of the earlier studies documented in Wang et al 12…”

Section: Introductionsupporting

confidence: 58%

Multi-tooth contact behavior of helical gear applying modified meshing equation

Wang

Lim

Ding

2012

Proceedings of the Institution of Mechanical Engineers, Part C:

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In tooth contact analysis, the numerical process of searching for true contact lines or points is always a daunting task. The true contact lines for ideal helical gear transmission can be easily obtained through the helical gear meshing theory; however, in practice, this approach does not work well due to effect of tooth elasticity that shifts the contact lines from their ideal position. To address this problem, an approximate method to seek the true contact positions is proposed applying a modified meshing equation for a pair of helical gear with error free and no shaft deformation. First, the helical gear tooth deformation is calculated with the combination of contact mechanics and finite element method. Second, the deformed tooth flanks are fitted with Chebyshev polynomials. Third, the modified meshing equation is formulated by accounting for the influence of not only gear rigid body movement but also the gear deformation on the meshing process. Finally, the true contact points are determined by solving the correlated tooth flank equations, meshing equations, and force balance equations. The deformations of the gear and pinion teeth within the meshing plane are analyzed, and the contact load distributions along with the Von Mises stresses over a mesh cycle are examined. The study indicates that the proposed numerical method can yield true contact lines quickly while avoiding costly computational time in the traditional true contact line searching process that searches iteratively in the whole meshed tooth flank.

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Section: Introductionsupporting

confidence: 58%

Multi-tooth contact behavior of helical gear applying modified meshing equation

Wang

Lim

Ding

2012

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The elasticity of transmission chain is also an important problem which influences the bandwidth of servo systems. There are several mechanical components that have elasticity which can influence the transmission error and performance of the gear transmission chain: transmission shaft elasticity (Dwivedula and Pagilla, 2012), support bearing elasticity (Walha et al, 2009;Wang et al, 2011Wang et al, , 2016, gear meshing elasticity caused by gear tooth stiffness (Jia et al, 2003;Li et al, 2020) and even the gear meshing stiffness vary with time (Shi et al, 2020). All these factors make the transmission chain not ideally rigid, but flexible, under specific dynamic conditions, the systems will generate undesirable vibration.…”

Section: Introductionmentioning

confidence: 99%

Design optimization analysis of an anti-backlash geared servo system using a mechanical resonance simulation and experiment

et al. 2021

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Abstract. In many mechatronic systems, gear transmission chains are often used to transmit motion and power between motors and loads, especially for light, small but large torque output systems. Gear transmission chains will inevitably bring backlash as well as elasticity of shafts and meshing teeth. All of these nonlinear factors will affect the performance of mechatronic systems. Anti-backlash gear systems can reduce the transmission error, but elasticity has to be considered too. The aim of this paper is to find the key parameters affecting the resonance and anti-resonance frequencies of anti-backlash gear systems and then to give the design optimization methods of improving performance, both from element parameters and mechanical designing. The anti-backlash geared servo system is modeled using a two-inertia approximate model; a method of computing the equivalent stiffness of anti-backlash gear train is proposed, which comprehensively considers the total backlash of transmission chain, gear mesh stiffness, gear shaft stiffness and torsional spring stiffness. With the s-domain block diagram model of the anti-backlash geared servo system, the influences of four main factors on the resonance and anti-resonance frequencies of system are analyzed by simulation according to the frequency response, and the simulation analysis results dependent on torsional spring stiffness of anti-backlash gear pair and load moment of inertia variation are verified by the experiment. The errors between simulation and experimental results are less than 10 Hz. With these simulation and experiment results, the design optimization methods of improving the resonance and anti-resonance frequencies such as designing the center distance adjusting mechanism to reduce the initial total backlash, increasing the stiffness of torsional spring and lightweight design of load are proposed in engineering applications.

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“…For the precise mechanical system, the contact state and the contact stress distribution of the assembly surface will greatly influence on the assembly accuracy. In the traditional minimum surface based on assembly process optimization model, statistical calculation is used, but it does not consider the particularity of each component error in precision mechanical system in small batch production [7][8][9][10][11][12][13][14][15] .…”

Section: Introductionmentioning

confidence: 99%

Assembly Process Optimization Method Based on Maximum Entropy Theory

Wang¹,

Zhang²,

Jin³

et al. 2018

dtcse

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Abstract. The assembly accuracy of precision structures is significantly affected by the geometric error and thermal deformation of the mechanical components which can be represented by entropy. This paper provides an assembly process optimization method based on maximum entropy theory, optimizing multi-objective assembly process through the calculation of precision assembly system and entropy. This method can meet the requirements of high precision and high stability of precision mechanical system.

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Influence of combined assembly error and bearing elasticity on spur gear tooth contact load distribution

Cited by 12 publications

References 15 publications

Multi-tooth contact behavior of helical gear applying modified meshing equation

Multi-tooth contact behavior of helical gear applying modified meshing equation

Design optimization analysis of an anti-backlash geared servo system using a mechanical resonance simulation and experiment

Assembly Process Optimization Method Based on Maximum Entropy Theory

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