Effect of tooth mesh stiffness asymmetric nonlinearity for drive and coast sides on hypoid gear dynamics

2009 ◽  
Vol 319 (3-5) ◽  
pp. 885-903 ◽  
Author(s):  
Jun Wang ◽  
Teik C. Lim
Keyword(s):  
Hypoid Gear ◽  
Mesh Stiffness ◽  
Gear Dynamics ◽  
Asymmetric Nonlinearity

scholarly journals Investigation of the effect of the angle between drive shafts on vibration responses of main reducer

2018 ◽  
Vol 189 ◽  
pp. 06009 ◽  
Author(s):  
Xiaogang Liu ◽  
Zhaoyu Wu ◽  
Weiguang Shu ◽  
Jie Lu
Keyword(s):  
Hypoid Gear ◽  
Force Analysis ◽  
Lumped Mass ◽  
Mesh Stiffness ◽  
Gear Backlash ◽  
Lumped Mass Method ◽  
Vibration Model ◽  
Vibration Responses ◽  
Transfer Error ◽  
Final Drive

The drive shaft arrangement has a considerable influence on the vibration responses of the shaft-final drive system. In this research, a coupled vibration model is developed based on force analysis of hypoid gear and lumped mass method. The effect of time-varying mesh stiffness, gear backlash and transfer error are included to investigate the effect of the angle between drive shafts on vibration responses of main reducer. The vibration responses of main reducer are acquired using this model. The results show that the vibration amplitude of the gears of main reducer increase with the angle between drive shafts. This paper presents an analytical method to determine the value of the angle between drive shafts, so as to control the vibration of main reducer.

VEHICLE GEARBOX DYNAMICS: CENTRE DISTANCE INFLUENCE ON MESH STIFFNESS AND SPUR GEAR DYNAMICS

Transport ◽  
2010 ◽  
Vol 25 (3) ◽  
pp. 278-286 ◽  
Author(s):  
Viktor Skrickij ◽  
Marijonas Bogdevičius
Keyword(s):  
Spur Gear ◽  
Transmission Model ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Gear Dynamics ◽  
Distance Error ◽  
Gear Box

Vehicle gearbox dynamics is characterized by time varying mesh stiffness. The paper presents a survey of methods used for determining mesh stiffness and the analysis of the centre distance influence on it. The refined mathematical transmission model presenting the centre distance as a variable is presented. The centre distance error as well as backlash and bearing flexibility is defined and the influence of these factors on mesh stiffness and spur gear dynamics is investigated. The results obtained from this paper may be used in gear‐box diagnostics.

scholarly journals Lubrication analysis and sub-surface stress field of an automotive differential hypoid gear pair under dynamic loading

2015 ◽  
Vol 230 (7-8) ◽  
pp. 1183-1197 ◽  
Author(s):  
Leonidas Paouris ◽  
Stephanos Theodossiades ◽  
Miguel De la Cruz ◽  
Homer Rahnejat ◽  
Adam Kidson ◽  
...  
Keyword(s):  
Stress Distribution ◽  
Stress Field ◽  
Film Thickness ◽  
Surface Stress ◽  
Lubricant Film ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Lubricant Film Thickness ◽  
Dynamics Model ◽  
Gear Dynamics

Film thickness and sub-surface stress distribution in a highly loaded automotive differential hypoid gear pair are examined. A 4-Degree of Freedom torsional gear dynamics model, taking into account the torsional stiffness of the pinion and the gear shafts, is used in order to evaluate the contact load, the surface velocities and the contact radii of curvature of the mating teeth during a full meshing cycle. The torsional gear dynamics model takes into account both the geometric non-linearities of the system (backlash non-linearity) as well as the time varying properties (contact radii, meshing stiffness) and the internal excitations caused by geometrical imperfections of the teeth pair (static transmission error). The input torque used for the study of the film thickness and the sub-surface stress distribution corresponds to the region after the main resonance, where no teeth separation occurs. The contact conditions predicted by the gear dynamics are used as the input for the elastohydrodynamic elliptical point contact analysis. The lubricant film thickness, the corresponding pressure and surface traction distributions are obtained quasi-statically using the output load of the dynamic gear pair model. The variation of the induced sub-surface stress field is determined throughout a meshing cycle. Based on the sub-surface reversing orthogonal shear stresses, marginal differences occur when the viscous shear on the conjunctional surfaces are taken into account, which are mainly influenced by the applied pressure distribution. The numerical prediction of lubricant film thickness agrees reasonably well with that predicted using the well-established extrapolated oil film thickness formulae reported in the literature.

An Analytical Model for Spur Gear Dynamics

1997 ◽  
Author(s):  
Jao-Hwa Kuang ◽  
Ah-Der Lin
Keyword(s):  
Mathematical Model ◽  
Analytical Model ◽  
Analytical Solutions ◽  
Dynamic Contact ◽  
Spur Gear ◽  
Dynamic Loads ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
Detailed Model ◽  
Gear Dynamics

Abstract A mathematical model for a spur gear pair with two-step mesh stiffness is proposed. Two constant values of mesh stiffness are used to approximate the complicated compliance alternation of contact tooth pairs between one and two during meshing. Analytical solutions of the dynamic loads are derived. The method has been employed to calculate the dynamic contact load, transmitted torque and the bearing forces. The results compared favorably with a more detailed model found in the literature.

A Review of Planetary and Epicyclic Gear Dynamics and Vibrations Research

2014 ◽  
Vol 66 (4) ◽  
Author(s):  
Christopher G. Cooley ◽  
Robert G. Parker
Keyword(s):  
Planetary Gear ◽  
Tooth Surface ◽  
Journal Articles ◽  
Mesh Stiffness ◽  
Gear Dynamics ◽  
The Past ◽  
Epicyclic Gear ◽  
Wide Range ◽  
Gyroscopic Effects ◽  
Dynamics And Vibration

This article summarizes published journal articles on planetary and epicyclic gear dynamics and vibration. Research in this field has increased dramatically over the past two decades. The wide range of research topics demonstrates the technical challenges of understanding and predicting planetary gear dynamics and vibration. The research in this review includes mathematical models, vibration mode properties, dynamic response predictions including nonlinearities and time-varying mesh stiffness fluctuations, the effects of elastic compliance, and gyroscopic effects, among other topics. Practical aspects are also included, for example, planet load sharing, planet phasing, tooth surface modifications, and characteristics of measured vibration response.

Torque Load Effects on Mesh and Dynamic Characteristics of Hypoid Geared System

2013 ◽  
Author(s):  
Yawen Wang ◽  
Teik C. Lim ◽  
Junyi Yang
Keyword(s):  
Dynamic Characteristics ◽  
Gear Tooth ◽  
Great Influence ◽  
Transmission Error ◽  
Hypoid Gear ◽  
Contact Ratio ◽  
Mesh Stiffness ◽  
Tooth Contact Analysis ◽  
Torque Load ◽  
Loaded Tooth Contact Analysis

From the existing experimental results and previous studies, the torque load has great influence on the mesh and dynamic characteristics of hypoid gear drive. To have more insights on the load dependent mesh parameters and dynamic response of hypoid and spiral bevel gear, a load dependent mesh model is developed by using 3-dimensional loaded tooth contact analysis (LTCA). The contact ratio and time-varying mesh parameters including the mesh stiffness, transmission error, mesh point and line-of-action of the mesh force are examined within a wide torque range. Then a nonlinear multi-body dynamic analysis is performed considering the effect of backlash nonlinearity. Simulation results show that the contact ratio and mesh stiffness generally increases as the toque load increases. The effect of torque load on dynamic mesh force is found to be frequency dependent due to the resonance frequency shifts and peak magnitude changes. This study provides an in-depth understanding of hypoid gear tooth load sharing and dynamic behaviors in terms of change in operating load. Therefore, the proposed model can be employed to assist in gear design optimization.

A Comparison of Several SDOF Models of Gear Dynamics

2016 ◽  
Author(s):  
Wennian Yu ◽  
Chris K. Mechefske ◽  
Markus Timusk
Keyword(s):  
Damping Ratio ◽  
Low Noise ◽  
Mesh Stiffness ◽  
Single Degree Of Freedom ◽  
Gear Dynamics ◽  
Advantages And Disadvantages ◽  
Gear Manufacturing ◽  
Steady State Responses ◽  
Clearance Nonlinearity ◽  
State Responses

It is commonly believed that a complete understanding of gear dynamics is essential for the design of gear transmission systems capable of running at low noise and vibration levels with prolonged service life. Several single degree of freedom (SDOF) models of gear dynamics with clearance nonlinearity are generalized based on previous research, while a constant damping ratio is assumed and the friction is neglected. These models include the effects of time-varying mesh stiffness, gear manufacturing errors, profile modifications and backlash. Comparisons of the steady responses predicted by these SDOF models are intensively studied and the relationships between these models are discussed. Even though, different types of mesh stiffness and different treatments of the gear error functions in the analysis are used in these models, the steady-state responses predicted by these models are generally consistent with each other and agree well with experimental results. However, some discrepancies and relationships do exist among these models. The advantages and disadvantages of each model are highlighted.

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