Investigation Into the Temperature Field and Thermal Deformation of a Spiral Bevel Gear Pair at Different Rotational Speeds

2018 ◽  
Author(s):  
Shuyi Liu ◽  
Zhenxia Liu ◽  
Yaguo Lyu
Keyword(s):  
Temperature Field ◽  
Thermal Deformation ◽  
Element Model ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Flash Temperature ◽  
Steady Temperature ◽  
Steady State Temperature ◽  
Spiral Bevel

In the gear transmission process, inevitably, the relative sliding of the meshing surface generates heat which leads to the deformation of gear. Severe thermal deformation may reduce gear meshing clearance and cause failure of transmission, so it is necessary to further study the thermal deformation of gear. The main purpose of this paper is to compare the steady temperature field, flash temperature and thermal deformation of a spiral bevel gear pair at different speeds. This paper completed the thermal analysis and thermal deformation calculation via using a 3D finite element model of a spiral bevel gear pair. Firstly, the coupled thermo-elastic finite element model had been developed to obtain friction heat generation of spiral bevel gear. Then the friction heat flux was applied to investigate the steady state temperature field of single tooth model and the steady temperature was set as the initial field to predict the flash temperature of the meshing surface at different speeds. Finally, in order to obtain the thermal deformation of single tooth model at different rotational speeds, the static analysis was carried out by setting the steady-state temperature field as the boundary condition. The results show that the steady temperature, flash temperature and thermal deformation of the driving gear and driven gear increase with the rise of speed. These values of the driving gear are always greater than that of the driven gear and also grow faster with the increase of the speed. In detail, the deformation of driving gear and driven gear in 5000rpm rises to the 3.95 times and 3.70 times than that in 1000rpm respectively.

scholarly journals Natural characteristics analysis and experimental test of spiral bevel gear pair in the tractor transmission system

2021 ◽  
Vol 13 (8) ◽  
pp. 168781402110371
Author(s):  
Yuan Chen ◽  
Xudong Mou
Keyword(s):  
Finite Element ◽  
Natural Frequency ◽  
Gear Tooth ◽  
Transmission System ◽  
Bevel Gear ◽  
Mechanical Transmission ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Spiral Bevel ◽  
The Web

Spiral bevel gear is widely used in various mechanical transmission systems, such as tractor transmission system. Because it is mainly used in the heavy-load conditions, it would most likely resonate within the rated speed, resulting in tooth fatigue damage. In this paper, based on the principle of meshing and gear tooth machining, the spherically involute tooth profile equation of spiral bevel gear is deduced and the precise modeling method based on the CATIA is studied. The natural frequency and modal shape under free vibration are obtained by the finite element method (FEM), the influence of web thickness and web hole on the natural frequency of driven gear plate is analyzed as well. In addition, the experimental modal of bevel gear pair is carried out based on a multiple-reference impact test, Modal Assurance Criterion (MAC) is calculated, the three-dimensional modeling accuracy and the finite element analysis reliability are verified. The results show that the error between the measured frequency of bevel gear pair and the calculated frequency of the finite element simulation are both within 5%, and the MAC is above 0.8. The fourth-order natural frequency is the most sensitive to the web thickness, the second-order natural frequency is the most sensitive to the web hole.

Effect of Setting Errors on Manufactured Surfaces of Spiral Bevel Gear and Pinion

2000 ◽  
Author(s):  
M. S. Shunmugam ◽  
B. Subba Rao
Keyword(s):  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Generation Process ◽  
First Principle ◽  
Gear Pair ◽  
Spiral Bevel

Abstract Settings for generation of spiral bevel gear and pinion are determined in such a manner that the conjugate action in the gear pair is improved during their meshing. Any error in these settings would result in a deviation from the desired surface. Therefore, it is important to identify the critical settings and exercise greater care in their settings. In the present work, simulation of the generation process is carried out and the surfaces obtained are represented with reference to an idealized surface namely the involute spiraloid, established from first principle. The deviations of the surface resulting from the changes in the setting are also presented conveniently as normal deviations. From these results, the critical setting values are identified and are reported in this paper.

Dynamic Characteristics of the Coupled System of the High Pressure Rotor and the Radial Driveshaft of a Turbofan Engine

2008 ◽  
Vol 44-46 ◽  
pp. 127-134
Author(s):  
Ye Sen Fan ◽  
San Min Wang ◽  
Zhen Yang
Keyword(s):  
High Pressure ◽  
Dynamic Balance ◽  
Coupled System ◽  
Bevel Gear ◽  
Mode Shapes ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Turbofan Engine ◽  
Gear Box ◽  
Spiral Bevel

In a turbofan engine, the high pressure rotor and the radial driveshaft, which transmit the power from the internal gear-box to the external gear-box, are geared by a spiral bevel gear pair. In this paper, a reasonably simplified dynamic model of the coupled rotors system is established, and then, the coupled stiffness matrix and coupled damping matrix of the spiral bevel gear pair are deduced. A shaft element method is proposed to investigate the lateral-torsional coupled vibration equations of the gear-rotor system. Furthermore, the mode shapes and unbalance responses of this two rotors coupled system are simulated. The results indicate that the system derives many new modes and the exciting forces on a rotor of the system would be passed to the other rotor for the gears meshing. When the rotor dynamics of a turbofan engine is being analyzed, the high pressure rotor and the radial drive shaft must be viewed as a whole. The dynamic balance precision of the rotors should be qualified properly, in order to improve the dynamic quality of the turbofan engine.

Quantitative Evaluation of Aero Spiral Bevel Gear Meshing Quality

2011 ◽  
Vol 86 ◽  
pp. 428-433
Author(s):  
Ping Jiang ◽  
Guang Lei Liu ◽  
Rui Ting Zhang ◽  
Chong Qing Wang
Keyword(s):  
Quantitative Evaluation ◽  
Evaluation Method ◽  
Synthesis Method ◽  
Transmission Error ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Local Synthesis ◽  
Error Curve ◽  
Spiral Bevel

In order to precisely control the meshing performance of spiral bevel gear pair, this paper represents a quantitative evaluation method using transmission error curve and tooth face contact trace. The design, using local synthesis method, obtains the manufacturing parameters of gear pair and forms the tooth face of spiral bevel gear. This paper accomplishes the quantitative evaluation by the following methods: using tooth contact analysis (TCA) to obtain actual transmission error curve and tooth face contact trace; quantitatively evaluating the transmission error curve by comparing the web values of actual and preset theoretical transmission error curves; quantitatively evaluating the tooth face contact trace by comparing the requirements (such as in shape, size and position) defined for spiral bevel gear tooth face contact trace and the corresponding parameters of an externally-connected rectangle, which surrounds the tooth face contact trace and is used to describe tooth face contact trace. This paper conducts a meshing performance analysis and quantitative evaluation of an aero spiral bevel gear pair. The result shows that, the actual and preset theoretical transmission error curves are basically in coincidence and the tooth face contact trace meets the requirements. This quantitative evaluation method lays a foundation for analyzing the relationship between transmission error curve and tooth face contact trace and for analyzing the installation error sensitivity.

Free Modal Analysis for the Pinion of Logarithmic Spiral Bevel Gear with 20CrMnTi

2015 ◽  
Vol 667 ◽  
pp. 512-517
Author(s):  
Li Zhi Gu ◽  
Tie Ming Xiang ◽  
Peng Li ◽  
Jian Min Xu
Keyword(s):  
Modal Analysis ◽  
Natural Frequencies ◽  
Logarithmic Spiral ◽  
Element Model ◽  
Structure Design ◽  
Bevel Gear ◽  
Mode Shapes ◽  
Spiral Bevel Gear ◽  
Low Carbon ◽  
Spiral Bevel

In order to obtain the pinion's natural frequencies and mode shapes of a new kind of spiral bevel gear (SBG) which is logarithmic spiral bevel gear (LSBG) in the unconstrained state for the purpose of dynamic characteristics study, select the low carbon alloy steel 20CrMnTi (China specification) with good mechanical properties, which the carbon content is 0.17%-0.23%, the elastic modulus E=2.06675×1011Pa, the Poisson's ratio is 0.25, and the density is 7.85×103kg/m3, the finite element model of LSBG pinion which consist of 35100 nodes, 19889 Solid187 tetrahedron FEM elements is established by using free meshing method based on LSBG pinion's physical model in this paper. Solve the modal parameters of the first 6 orders, draw the main vibration mode shape according to the first 6 orders natural frequencies respectively. The first 6 orders critical revolution speeds are calculated by the first 6 orders corresponding natural frequencies, and the LSBG pinion allowable work revolution speeds are 117074.16 revolutions per minute. The free modal analysis of the conventional SBG pinion with the same parameters is done for comparison with LSBG pinion. The results show the LSBG pinion's nature frequency and the critical revolution speed are both lower than that of conventional SBG. The conclusions reflect the vibration response characteristics of LSBG pinion, and provide theoretical basis for dynamic response, structure design and optimization of LSBG pinion.

scholarly journals EHL Analysis of Spiral Bevel Gear Pairs considering the Contact Point Migration due to Deformation under Load

2020 ◽  
Vol 2020 ◽  
pp. 1-19
Author(s):  
Xiaoyu Sun ◽  
Yanping Liu ◽  
Yongqiang Zhao ◽  
Ming Liu
Keyword(s):  
Contact Point ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Spiral Bevel Gears ◽  
Actual Contact ◽  
Bevel Gears ◽  
Contact Points ◽  
Spiral Bevel

The actual contact point of a spiral bevel gear pair deviates from the theoretical contact point due to the gear deformation caused by the load. However, changes in meshing characteristics due to the migration of contact points are often ignored in previous studies on the elastohydrodynamic lubrication (EHL) analysis of spiral bevel gears. The purpose of this article is to analyze the impact of contact point migration on the results of EHL analysis. Loaded tooth contact analysis (LTCA) based on the finite element method is applied to determine the loaded contact point of the meshing tooth pair. Then, the osculating paraboloids at this point are extracted from the gear tooth surface geometry. The geometric and kinematic parameters for EHL simulation are determined according to the differential geometry theory. Numerical solutions to the Newtonian isothermal EHL of a spiral bevel gear pair at the migrated and theoretical contact points are compared to quantify the error involved in neglecting the contact point adjustment. The results show that under heavy-loaded conditions, the actual contact point of the deformed gear pair at a given pinion (gear) roll angle is different from the theoretical contact point considerably, and so do the meshing parameters. EHL analysis of spiral bevel gears under significant load using theoretical meshing parameters will result in obvious errors, especially in the prediction of film thickness.

A Study on Gear Tooth Metal Flowing Law and Process Optimization of Spiral Bevel Gear Forging

2013 ◽  
Vol 753-755 ◽  
pp. 215-220 ◽  
Author(s):  
Zhen Shan Gao ◽  
Xiao Zhong Deng ◽  
Fu Xiao Chen
Keyword(s):  
Gear Tooth ◽  
Element Model ◽  
Screw Press ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Face Shape ◽  
Forming Load ◽  
Spiral Bevel ◽  
Drive Screw ◽  
Corner Filling

Insufficient gear tooth corner filling and high forming load are the main problems in spiral bevel gear forging. In this study, three different preforms were proposed. According to the analysis of the forging spiral bevel gear process using the semi-closed die, which was based on elastoplastic finite element model, the metal flowing law of tooth along tooth alignment and profile are revealed. From the simulation results, the arc face shape preform and the finish die with divided flow cavity are good for forging gear, and an optimized process was presented. Experiments were carried out using electric drive screw press with the rated forming load of 2500 Tons. By analyzing numerical simulations and experimental results, the process mentioned in this paper improves the tooth corner filling and reduces the forming load effectively.

scholarly journals Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects

Vibration ◽  
2021 ◽  
Vol 4 (3) ◽  
pp. 666-678
Author(s):  
Moslem Molaie ◽  
Farhad S. Samani ◽  
Francesco Pellicano
Keyword(s):  
Helix Angle ◽  
Bevel Gear ◽  
Phase Portraits ◽  
Spiral Bevel Gear ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
Destructive Effect ◽  
Bevel Gears ◽  
Dynamic Scenario ◽  
Spiral Bevel

In gear transmissions, vibration causes noise and malfunction. In actual applications, misalignments contribute to intensifying the destructive effect of vibrations. In this paper, the nonlinear dynamics of a spiral bevel gear pair, with small helix angle, considering different misalignments, are deeply investigated. Axial misalignment, radial misalignment, and the combination of these two types are considered in this study. The governing equation is numerically solved through an implicit Runge–Kutta scheme. Since the main goal of this study is the analysis of the dynamic scenario, the mesh stiffness of the gear pair is obtained from the literature. The dynamical system is nonlinear and time-varying; it is analyzed through time responses, phase portraits, Poincaré maps, and bifurcation diagrams. Results show that, among the considered three cases with different types of misalignments, the spiral bevel gear with axial misalignment is the worst destructive case; aperiodic, subharmonic, and multiperiod responses are observable for this case. It is interesting that the chaotic responses for the case, having both types of misalignments, are less likely for the case with axial misalignment, only.

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