A new effective mesh stiffness calculation method with accurate contact deformation model for spur and helical gear pairs

Zhang, Chu; Dong, Honggang; Wang, Delun; Dong, Bo

doi:10.1016/j.mechmachtheory.2022.104762

Cited by 16 publications

(7 citation statements)

References 28 publications

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“…Meaning that lateral edge contact between gears in planetary stages would not affect the resulting bearing loading conditions 27 . The MCPA introduces the actual microgeometry of the gear profiles by using the slice approach, which is extensively used in gear modelling 61,62 . It divides the gear into several slices along its face width.…”

Section: Optimization Methodologymentioning

confidence: 99%

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On the definition and effect of optimum gear microgeometry modifications for the gearbox of an offshore 10‐MW wind turbine

et al. 2023

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This work develops an optimization algorithm for the definition of gear microgeometry modifications (MGM) on a gearbox belonging to an offshore 10-MW wind turbine. Subsequently, the impact of the gear microgeometry on the performance of gears and bearings is quantified: First, under rated load conditions and, second, accounting for the environmental conditions to estimate the long-term damage. To fulfil this task, a high-fidelity numerical model of the drivetrain is used, which meets the design requirements of the Technical University of Denmark (DTU) 10-MW reference offshore wind turbine. The optimization achieves a uniform distribution of the contact stress along the tooth flank, shifts its maximum value to the central position, and eliminates edge contact. These enhancements increase the gear safety factors.Nevertheless, the most significant improvement concerns planetary bearings, for which optimum gear MGM achieve a homogeneous share of the load among bearings. Moreover, deviations of the microgeometry with respect to the defined optimum are also addressed. In gears, lead slope deviations are counteracted by crowning modifications to restrain the increase of the load offset. Concerning planetary bearings, slope deviations can be beneficial or detrimental depending on whether they overload downwind or upwind planetary bearings, respectively. Finally, accumulated damage to planetary bearings after 20 years of service is assessed.Before MGM, results predict a premature failure of planetary bearings, while optimum MGM extend their predicted life above 20 years by achieving a reduction of the maximum accumulated fatigue damage by a factor of 4.4.

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Section: Optimization Methodologymentioning

confidence: 99%

“…27 The MCPA introduces the actual microgeometry of the gear profiles by using the slice approach, which is extensively used in gear modelling. 61,62 It divides the gear into several slices along its face width. Each slice can be considered a spur gear and represented as a single stiffness.…”

Section: Drivetrain Numerical Simulationmentioning

confidence: 99%

On the definition and effect of optimum gear microgeometry modifications for the gearbox of an offshore 10‐MW wind turbine

et al. 2023

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“…The analytical-finite element method combines the advantages of the two methods, ensuring computational accuracy while maintaining high computational efficiency. In the analytical-finite element method, the analytical method is used to solve contact deformation of the gear surface, and the finite element method is used to solve bending-shearing deformation of the gear tooth [3,4].…”

Section: Introductionmentioning

confidence: 99%

A New Fast Calculating Method for Meshing Stiffness of Faulty Gears Based on Loaded Tooth Contact Analysis

Wang

et al. 2023

Processes

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Gear transmission systems are widely used in various fields. The occurrence of gear cracks, tooth pitting, and other faults will lead to the dynamic characteristics deterioration of the transmission system. In order to calculate the meshing stiffness of faulty gear pairs more effectively and precisely, this article improves the loaded tooth contact analysis (LTCA) method by analyzing the influence of different fault types on gear deformation, including bending-shearing deformation and contact deformation, which combines the accuracy of the finite element method (FEM) and the rapidity of the analytical method (AM). The improved LTCA method can model the fault areas accurately and optimize the deformation coordination equation under the actual meshing situation of the faulty gear tooth, making it suitable for calculating the meshing stiffness of faulty gears. Based on the calculation results of the finite element method, the accuracy of the improved meshing stiffness calculation method has been verified, and the sensitivity of different fault type parameters on meshing stiffness has been studied.

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“…Time-varying mesh stiffness and backlash models were used to understand the thermal effect on parameters such as total deformation and total profile error. Zhang et al 31 advanced a numerical-analytical slice model that determines the global and contact deformation by utilizing FEM and analytical calculation, respectively. Zheng et al 32 proposed a mesh stiffness model that evaluated the deformation behavior by incorporating centrifugal expansion.…”

Section: Introductionmentioning

confidence: 99%

Influence of tooth asymmetry and mating gear material on the tooth deflection characteristics of polymer gears

Pandian

Gautam

Selvaraj

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Transmission error (TE) in polymer gears is significantly affected by the elastic deflection of meshing teeth. The present work describes the deflection characteristics of the asymmetric Nylon 66 spur gears under similar and dissimilar engagements. The load sharing and deflection behavior were estimated numerically using a linear viscoelastic material model. Experimental determination of mesh deflection was carried out through static load tests. The peak mesh deflection in a cycle for the 20°/34° configuration was found to be 8% and 12% smaller as compared to 34°/20° and 20°/20° configurations, respectively. The peak tooth deflection was found to be highest for the 34°/20° configuration and lowest for the 20°/34° configuration, with the deviation between their peak deflections being 15% in metal-polymer pairs and 17% in polymer-polymer pairs. In the 34°/20° configuration, the higher drive side pressure angle increased the single tooth contact period, causing greater peak-to-valley amplitude in a cycle. The negligible tooth compliance of steel gear caused unsymmetrical load sharing in the double tooth contact zones of metal-polymer engagements. The greater compliance of driver gear in polymer-polymer engagements increased the mesh deflections of 20°/20° and 20°/34° configurations by 45% and that of 34°/20° configuration by 37%. Also, gear pairs with similar material stiffness balanced the load sharing in the addendum and dedendum double tooth contact zones. The large tooth deflection extended the contact duration of all configurations for both the similar as well as for the dissimilar engagements, respectively. This was signified by the contact path extension at the peripheries of the mesh cycle.

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A new effective mesh stiffness calculation method with accurate contact deformation model for spur and helical gear pairs

Cited by 16 publications

References 28 publications

On the definition and effect of optimum gear microgeometry modifications for the gearbox of an offshore 10‐MW wind turbine

On the definition and effect of optimum gear microgeometry modifications for the gearbox of an offshore 10‐MW wind turbine

A New Fast Calculating Method for Meshing Stiffness of Faulty Gears Based on Loaded Tooth Contact Analysis

Influence of tooth asymmetry and mating gear material on the tooth deflection characteristics of polymer gears

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