Effects of Geometry Design Parameters on the Static Strength and Dynamics for Spiral Bevel Gear

Zhao, Feng; Song, Chaosheng

doi:10.1155/2017/6842938

Cited by 9 publications

(4 citation statements)

References 16 publications

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“…Though the differences appear to be small, they can be quite significant, because the durability service life of gears is strongly dependent on contact stress. For instance, Feng and Song [13] found that a 4.76% decrease in the contact stress of a steel spiral bevel gearset increased the pitting service life by 44%. Consequently, there is a need to determine the maximum contact stress in gear meshes with reasonable accuracy because a small decrease in contact stress can significantly increase the pitting service life of a gearset.…”

Section: Fig 4: Gear Contact Stress Form Factormentioning

confidence: 99%

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Contact stress in helical bevel gears

Osakue¹,

Anetor²,

Harris³

2021

FME Transactions

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Helical bevel gears have inclined or twisted teeth on a conical surface and the common types are skew, spiral, zerol, and hypoid bevel gears. However, this study does not include hypoid bevel gears. Due to the geometric complexities of bevel gears, commonly used methods in their design are based on the concept of equivalent or virtual spur gear. The approach in this paper is based on the following assumptions, a) the helix angle of helical bevel gears is equal to mean spiral angle, b) the pitch diameter at the backend is defined as that of a helical gear, and c) the Tredgold's approximation is applied to the helical gear. Upon these premises, the contact stress capacity of helical bevel gears is formulated in explicit design parameters. The new contact stress capacity model is used to estimate the contact stress in three gear systems for three application examples and compared with previous solutions. Differences between the new estimated results and the previous solutions vary from -3% and -11%, with the new estimates being consistently but marginally or slightly lower than the previous solution values. Though the differences appear to be small, they are significant because the durability of gears is strongly influenced by the contact stress. For example, a 5% reduction in contact stress may result in almost 50% increase in durability in some steel materials. The equations developed do not apply to bevel crown gears.

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Section: Fig 4: Gear Contact Stress Form Factormentioning

confidence: 99%

“…According to Feng and Song [13], spiral bevel gears have very complex tooth geometries and kinematics. Unlike cylindrical gears, the mesh point, mesh force, and line-of-action vector for spiral bevel gears are time varying quantities in 3D space.…”

Section: Introductionmentioning

confidence: 99%

Contact stress in helical bevel gears

Osakue¹,

Anetor²,

Harris³

2021

FME Transactions

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“…e results show that with the variety of the meshing frequency, the system enters into chaos through period-doubling bifurcation; with the variety of the support stiffness, the system changes into chaos through quasi-period bifurcation; and in the process of the meshing frequency varying, jump phenomena exist in the system. Feng and Song [2] considered the time-varying meshing force of the gear, the position of the meshing point, the transmission error, the direction of the friction force, and the friction coefficient, and then established a dynamic model of concentrated parameters. On this basis, the effects of the dynamic meshing force and dynamic transmission error on the system response are investigated.…”

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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“…Yinong et al [15] studied the effect of the asymmetric mesh stiffness on the 8-DOF spiral bevel gear transmission system. Feng and Song [16] investigated the effects of the dynamic meshing force and dynamic transmission error.…”

Section: Introductionmentioning

confidence: 99%

Tooth Fracture Detection in Spiral Bevel Gears System by Harmonic Response Based on Finite Element Method

Chen

Zhu

Jin

et al. 2017

Journal of Control Science and Engineering

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Spiral bevel gears occupy several advantages such as high contact ratio, strong carrying capacity, and smooth operation, which become one of the most widely used components in high-speed stage of the aeronautical transmission system. Its dynamic characteristics are addressed by many scholars. However, spiral bevel gears, especially tooth fracture occurrence and monitoring, are not to be investigated, according to the limited published issues. Therefore, this paper establishes a three-dimensional model and finite element model of the Gleason spiral bevel gear pair. The model considers the effect of tooth root fracture on the system due to fatigue. Finite element method is used to compute the mesh generation, set the boundary condition, and carry out the dynamic load. The harmonic response spectra of the base under tooth fracture are calculated and the influence of main parameters on monitoring failure is investigated as well. The results show that the change of torque affects insignificantly the determination of whether or not the system has tooth fracture. The intermediate frequency interval (200 Hz-1000 Hz) is the best interval to judge tooth fracture occurrence. The best fault test region is located in the working area where the system is going through meshing. The simulation calculation provides a theoretical reference for spiral bevel gear system test and fault diagnosis.

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Effects of Geometry Design Parameters on the Static Strength and Dynamics for Spiral Bevel Gear

Cited by 9 publications

References 16 publications

Contact stress in helical bevel gears

Contact stress in helical bevel gears

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

Tooth Fracture Detection in Spiral Bevel Gears System by Harmonic Response Based on Finite Element Method

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