An improved time-varying mesh stiffness model for helical gear pairs considering axial mesh force component

Wang, Qibin; Bo, Zhao; Fu, Yang; Kong, Xianwen; Ma, Hui

doi:10.1016/j.ymssp.2018.01.012

Cited by 116 publications

(43 citation statements)

References 43 publications

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“…In the mesh situation, there are three teeth contacts and two teeth contacts, and the gear mesh stiffness will be different. The details of the gear mesh stiffness are shown in Wang et al [19]. The relative displacement of the gear mesh in a direction perpendicular to contact surfaces is represented by δ(t) and defined as follows (16) where R 1 and R 2 are the radii of base circles for the pinion and the gear, respectively.…”

Section: Disk and Helical Gear Pairmentioning

confidence: 99%

Time-Varying Dynamic Analysis of a Helical-Geared Rotor-Bearing System with Three-Dimensional Motion Due to Shaft Deformation

Chen

2020

Applied Sciences

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The rotordynamics of a helical-geared rotor-bearing system were investigated. A new dynamic model for a helical-geared rotor-bearing system, which takes into account three-dimensional (3-D) motion due to rotating shaft deformation, was proposed. The proposed model considers the time-varying effect, which in other models, is considered constant. The system equations of motion were obtained by applying Lagrange’s equation, and the dynamic responses were computed by the fourth-order Runge–Kutta method. The time-varying dynamic responses of the helix angle, transverse pressure angle, gear pair center distance, and total contact ratio were investigated. The numerical results show that the time-varying effect is an important factor in gear vibration analysis and cannot be neglected when the helical geared rotor-bearing system has a lower stiffness.

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Section: Disk and Helical Gear Pairmentioning

confidence: 99%

Time-Varying Dynamic Analysis of a Helical-Geared Rotor-Bearing System with Three-Dimensional Motion Due to Shaft Deformation

Chen

2020

Applied Sciences

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“…Inertia parameters of each component are listed in Table 1, and gear base circle radii and planet center distances are given in Table 2. The integral potential energy method is widely applied theoretically for determining spur and helical gear mesh stiffnesses (Gu et al, 2015;Wang et al, 2018). Gear teeth in mesh are assumed to be cantilever beams.…”

Section: Dynamic Modelling Of the Compound Pgtsmentioning

confidence: 99%

Numerical and experimental investigation on nonlinear dynamic characteristics of planetary gear train

Zhang¹,

Han²,

Yu³

et al. 2020

Journal of Theoretical and Applied Mechanics

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A deep hybrid electric vehicle (DHEV) equipped with a Ravigneaux compound planetary gear train (PGT) encounters severe gear whine noises during acceleration in the EV drive mode. For the analysis of vibro-acoustic sources, a 5DOF lumped-parameter vibration model for the PGT dynamic system is established as well as sound pressures radiated from the transmission on a test bench are measured for data processing and recognition. By comparison between numerical and experimental analyses, natural vibration modes of the PGT are examined and high frequency modal resonances in association with the planetary gears are observed only to cause narrow band whine noises. Furthermore, a 2DOF reduced dynamic model for the planetary gears with consideration of nonlinearities such as time-varying mesh stiffness and backlash is proposed, and numerical solutions to bifurcations and dynamic instabilities of the two sets of planetary gears are obtained. It is found that nonlinear vibration behaviour of the long and short planets are major causes of shock and vibration of the hybrid transmission. Severe vibro-acoustic noises excited dominantly by the planetary gears are alleviated after implementing micro-geometry modifications to the PGT.

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“…For example, Mao 11 introduced an accurate method for estimating STE in powertrain transmission systems through an accurate gear contact analysis. The analytical method 1,[14][15][16][17][18] has the advantages of fast calculation speed and good accuracy, but its application range is narrow. For example, analytical method is used in the literature 1 to calculate timevarying mesh stiffness.…”

Section: Introductionmentioning

confidence: 99%

Effects of lightweight gear blank on noise, vibration and harshness for electric drive system in electric vehicles

Hou

Lei

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part K:

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In this paper, effects of lightweight gear blank on static and dynamic behavior for electric drive system in electric vehicles are studied. First, a hybrid finite element-analytical method is proposed in this paper to establish gear load contact analysis model considering the structure of lightweight gear blank, which can balance the computing speed and numerical accuracy. Second, this paper establishes a rigid-flexible coupled dynamic model of electric drive system considering shaft elasticity, bearing stiffness, and housing flexibility. Finally, aiming at the noise, vibration, and harshness problem of an electric drive system equipped on electric vehicles, effects of gear web and gear rim thickness on noise, vibration, and harshness excitation source such as static transmission error and dynamic meshing force as well as dynamic response at bearings and housing are analyzed. The results show that changing gear web and gear rim thickness can significantly reduce dynamic meshing force and dynamic response. Compared with solid gear, dynamic meshing force is reduced by 68.50%, and dynamic response is reduced by 66.70% after optimization, thereby significantly improving the noise, vibration, and harshness performance of gear transmission system in electric vehicles.

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An improved time-varying mesh stiffness model for helical gear pairs considering axial mesh force component

Cited by 116 publications

References 43 publications

Time-Varying Dynamic Analysis of a Helical-Geared Rotor-Bearing System with Three-Dimensional Motion Due to Shaft Deformation

Time-Varying Dynamic Analysis of a Helical-Geared Rotor-Bearing System with Three-Dimensional Motion Due to Shaft Deformation

Numerical and experimental investigation on nonlinear dynamic characteristics of planetary gear train

Effects of lightweight gear blank on noise, vibration and harshness for electric drive system in electric vehicles

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