scholarly journals Modelling and Dynamic Analysis of the Spiral Bevel Gear-Shaft-Bearing-Gearbox Coupling System

2019 ◽  
Vol 2019 ◽  
pp. 1-16
Author(s):  
Haimin Zhu ◽  
Weifang Chen ◽  
Rupeng Zhu ◽  
Jie Gao ◽  
Meijun Liao
Keyword(s):  
Element Model ◽  
Transmission System ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Coupling System ◽  
Gear Transmission System ◽  
Shaft Angle ◽  
Bearing Force ◽  
Full Coupling ◽  
Spiral Bevel

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.

scholarly journals Influence of Asymmetric Mesh Stiffness on Dynamics of Spiral Bevel Gear Transmission System

2010 ◽  
Vol 2010 ◽  
pp. 1-13 ◽  
Author(s):  
Li Yinong ◽  
Li Guiyan ◽  
Zheng Ling
Keyword(s):  
Dynamic Response ◽  
Transmission System ◽  
Bevel Gear ◽  
Gear Transmission ◽  
Spiral Bevel Gear ◽  
Mesh Stiffness ◽  
Light Load ◽  
Gear Transmission System ◽  
Spiral Bevel ◽  
Asymmetric Mesh

An 8-DOF (degrees-of-freedom) nonlinear dynamic model of a spiral bevel gear pair which involves time-varying mesh stiffness, transmission error, backlash, and asymmetric mesh stiffness is established. The effect of the asymmetric mesh stiffness on vibration of spiral bevel gear transmission system is studied deliberately with numerical method. The results show that the mesh stiffness of drive side has more effect on dynamic response than those of the coast side. Only double-sided impact region is affected considerably by mesh stiffness of coast side while single-sided impact and no-impact regions are unchanged. In addition, the increase in the mesh stiffness of drive side tends to worsen the dynamic response of the transmission system especially for light-load case.

The Analysis and Calculation of the Spiral Bevel Gears Transmission System of High-Speed Train

2014 ◽  
Vol 490-491 ◽  
pp. 1126-1133
Author(s):  
Chen Tao ◽  
Zhe Ming Chen ◽  
Ze Hao Huang ◽  
Chen Long
Keyword(s):  
High Speed ◽  
Transmission System ◽  
Bevel Gear ◽  
Operating Conditions ◽  
Spiral Bevel Gear ◽  
High Speed Train ◽  
Bevel Gears ◽  
Gear Transmission System ◽  
High Speed Trains ◽  
Spiral Bevel

The overview and analysis of the structure of spiral bevel gear transmission system was presented . The characteristics of transmission and torque of the system were analysis and calculated . Based on high-speed trains operating conditions. The issue that tooth contact of the positive invertion of spiral bevel gear was analysis. The consistency of the positive invertion was desirable. The error curve of the transmission was downward consistently and the curves which were adjacent intersect. The less of the vibration of bridge contacts won`t be happened.

Prediction and test of stable transmission time of spiral bevel gear during a loss-of-lubrication event in helicopter transmission system

2022 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yanzhong Wang ◽  
Kai Yang ◽  
Wen Tang
Keyword(s):  
Transmission System ◽  
Bevel Gear ◽  
Transmission Time ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Content Type ◽  
Surface Burn ◽  
Spiral Bevel ◽  
Helicopter Transmission ◽  
Stable Transmission

Purpose This paper aims to establish a prediction model of stable transmission time of spiral bevel gear during a loss-of-lubrication event in helicopter transmission system. Design/methodology/approach To observe the temperature change of spiral bevel gear during working condition, a test rig of spiral bevel gear was developed according to the requirements of experiments and carried out verification experiments. Findings The prediction is verified by the test of detecting the temperature of oil pool. The main damage form of helicopter spiral bevel gears under starved lubrication is tooth surface burn. The stable running time under oil-free lubrication is mainly determined by the degree of tooth surface burn control. Originality/value The experimental data of the spiral bevel gear oil-free lubrication process are basically consistent with the simulation prediction results. The results lay a foundation for the working life design of spiral bevel gear in helicopter transmission system under starved lubrication.

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.

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.

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.

Study on Ultrasonic Lapping System of Spiral Bevel Gear

2011 ◽  
Vol 86 ◽  
pp. 424-427 ◽  
Author(s):  
Jian Jun Yang ◽  
Bing Yang Wei ◽  
Xiao Zhong Deng ◽  
Zong De Fang
Keyword(s):  
Dynamic Model ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Input Shaft ◽  
Gear Backlash ◽  
Impact Theory ◽  
Shaft Angle ◽  
Simulation Results ◽  
Spiral Bevel ◽  
Vibration Noise

Based on non-smooth impact theory, the dynamic model of spiral bevel gear is constructed by considering of input shaft angle excitation. The Maximal Lyapunov Exponents (MLEs) curves for backlash 0.10mm and 0.14mm caused by exciting amplitude are given. The simulation results indicate that gear backlash, excited amplitude and retard torque have influence on the dynamics behavior of spiral bevel gear system. The experiments show that the vibration noise is deduced after ultrasonic gear lapping.

Synthesis of Spiral Bevel Gear Transmissions With a Small Shaft Angle

2006 ◽  
Vol 129 (9) ◽  
pp. 949-959 ◽  
Author(s):  
Vladimir I. Medvedev ◽  
Andrey E. Volkov
Keyword(s):  
Computer Program ◽  
Machine Tool ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Synthesis Parameters ◽  
Shaft Angle ◽  
Spiral Bevel ◽  
Selection Of

An algorithm for synthesis of spiral bevel gear transmissions with a small shaft angle is presented. The algorithm of synthesis provides machine-tool settings with account of design limits for majority of gear generating machines. The proposed algorithm makes it possible to decrease the dimensions of machines that are used for gear and pinion tooth generation. The computer program of synthesis is developed that is based on described algorithm. Recommendations on selection of proper synthesis parameters are presented. An example of synthesis and analysis of a transmission is considered.

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.

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