An analytical method for calculating the tooth surface contact stress of spur gears with tip relief

Qi, Wen; Du, Qiang; Zhai, Xiaochen

doi:10.1016/j.ijmecsci.2018.11.007

Cited by 35 publications

(13 citation statements)

References 43 publications

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“…Gear transmission is a basic key component for transmitting motion and power in mechanical equipment, and is commonly used in critical fields such as aviation, ships, vehicles, wind power generation, and manufacturing. The dynamic instability and vibration caused by teeth meshing of the gear system has always been a concern for scholars and engineers [1][2][3][4]. Accurate elaboration of gear-tooth contact characteristics is the basis of dynamic modeling and analysis of gear systems [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics

2021

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Teeth disengaging or back-side teeth meshing induced by backlash reduces the transmission quality and dynamic performance of gear systems, and accurate interpretation of multi-state meshing behavior can provide guidance for structural optimization and performance evaluation. Therefore, the multi-state meshing behavior of the gear system is elaborated. A new nonlinear dynamic model of a spur gear system with five-state meshing behavior is proposed based on time-varying backlash and contact ratio. The time-varying meshing stiffness and time-varying backlash considering the elastic contact of gear teeth, gear temperature rise and lubrication are included in the model. The five-state meshing behavior is clearly characterized by constructing five Poincaré maps, and its generation mechanism is studied using dynamic meshing force time history, teeth relative displacement time history and phase portrait. The bifurcation and evolution of five-state meshing behavior are analyzed under the effects of load factor, meshing frequency and error coefficient. The results show that the mutation in the direction of dynamic meshing force leads to teeth disengaging and back-side single or double teeth contact, forming multi-state meshing behavior. Bifurcation caused by parameter changes greatly affects the evolution of five-state meshing behavior, particularly grazing bifurcation can decrease the number of teeth disengagement. Chaotic behavior or trajectory expansion inspires multi-state meshing vibration of the system. Previous gear system models could not reveal these phenomena due to ignoring the multi-state meshing behavior.

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Section: Introductionmentioning

confidence: 99%

Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics

2021

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“…Involute gear transmission has been widely used because of its unique technical advantages. Research on stress distribution [2,3], tolerance analysis [4] noise [5], vibration [6] and thermal analysis [7] in geared systems have been centred on gear-specific components. However, for the meshing of specific teeth number in a gear pair, an interference exists between the tip of the teeth on the pinion and the fillet or root of the teeth on the gear [8].…”

Section: Introductionmentioning

confidence: 99%

New Insights Into the Minimum Teeth Number and Modification Coefficient of Standard Involute Gears Without Undercutting

Zhang¹,

2021

Preprint

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The calculation equations for the minimum teeth number and the minimum modification coefficient of standard involute gears without undercutting are inaccurately described and researched in many studies. These errors are knowledge blind spots in mechanical engineering that have been introduced into the design and manufacturing of standard involute gears. Furthermore, these errors are continually imparted to tens of thousands of students in colleges every yearly. Racks have been incorrectly regarded as the rack-shaped cutters in the derivation of the calculation equations. The theoretical research, numerical simulation and experiments of the undercutting phenomenon of standard involute gears manufactured using rack-shaped cutters are presented. Firstly, theoretical analysis and calculation of the minimum teeth number and the minimum modification coefficient of standard involute gears without undercutting are performed. Subsequently, the correct minimum teeth number and the minimum modification coefficient without undercutting are deduced. The computer simulations of the theoretical calculations are then examined considering the necessary cases. Experiments of standard involute spur gears with z = 10, 12, 17 and 22 are conducted, thereby validating the research. This study addresses the long-standing errors regarding the traditional undercutting phenomenon and provides an effective theoretical guide for gear design and manufacturing.

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“…Durante el acoplamiento entre los engranes, se presentan dos tipos de esfuerzos mecánicos que afectan la integridad estructural de sus dientes: esfuerzos de contacto y de flexión. Los esfuerzos de contacto dañan la superficie del engrane provocando picaduras, mientras que los esfuerzos de flexión se concentran en la raíz del diente causando la aparición de fracturas en dicha zona [1,2]. Durante el proceso de manufactura, así como en el ensamblaje de los engranes dentro del reductor, se provocan desalineamientos en diferentes direcciones que pueden afectar en la magnitud y distribución de los esfuerzos mencionados.…”

Section: Introductionunclassified

Modelado por elemento finito de la fatiga en engranes de reductores de velocidad con desalineamiento radial y axial

et al. 2020

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Este artículo presenta un análisis de fatiga en engranes de reductores de velocidad sometidos a desalineamiento radial y axial. Se empleó el método del elemento finito para el cálculo de los ciclos de vida y del estado de esfuerzos alternantes en los engranes. El desalineamiento se consideró en función del módulo del engrane, M. El desalineamiento radial fue M0.2 y M0.5 y el desalineamiento axial fue M0.2 y M0.3. El mecanismo analizado corresponde a los engranes piñón y rueda de la primera etapa del reductor de velocidad de un vehículo todo terreno. En ambas condiciones de desalineamiento la máxima reducción en los ciclos de vida ocurre en el engrane piñón causados por elevados esfuerzos alternantes a medida que se incrementa el torque. Las variaciones en la zona de contacto entre los dientes debido a los desalineamientos en los engranes provocó concentraciones de esfuerzos en la cara y la raíz del diente

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An analytical method for calculating the tooth surface contact stress of spur gears with tip relief

Cited by 35 publications

References 43 publications

Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics

Generation mechanism and evolution of five-state meshing behavior of a spur gear system considering gear-tooth time-varying contact characteristics

New Insights Into the Minimum Teeth Number and Modification Coefficient of Standard Involute Gears Without Undercutting

Modelado por elemento finito de la fatiga en engranes de reductores de velocidad con desalineamiento radial y axial

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