Effect of asymmetric mesh stiffness on vibration characteristics of spiral bevel gear transmission system

2010 ◽  
Author(s):  
Li Yinong ◽  
Li Guiyan ◽  
Zhao Shuen
Keyword(s):  
Transmission System ◽  
Vibration Characteristics ◽  
Bevel Gear ◽  
Gear Transmission ◽  
Spiral Bevel Gear ◽  
Mesh Stiffness ◽  
Gear Transmission System ◽  
Spiral Bevel ◽  
Asymmetric Mesh

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.

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.

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 Nonlinear Dynamic Characteristic Analysis of a Coated Gear Transmission System

Coatings ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 39
Author(s):  
Yangyi Xiao ◽  
Liyang Fu ◽  
Jing Luo ◽  
Wankai Shi ◽  
Minglin Kang
Keyword(s):  
Dynamic Characteristic ◽  
Time History ◽  
Spur Gear ◽  
Transmission System ◽  
Gear Transmission ◽  
Phase Curve ◽  
Gear Pair ◽  
Characteristic Analysis ◽  
Mesh Stiffness ◽  
Gear Transmission System

Coatings can significantly improve the load-carrying performance of a gear surface, but how they affect the vibration characteristic of the system is an urgent issue to be solved. Taking into account the nonlinear factors like the variable mesh stiffness, friction, backlash, and transmission error, a six-degree-of-freedom spur gear transmission system with coatings is presented. Meanwhile, the finite element method is applied to acquire the time-varying mesh stiffness of the coated gear pair in the engagement process. With the support of the time-history curve, phase curve, Poincare map, and fast Fourier transform spectrum, the dynamic characteristics and the effects of the coating elastic modulus on vibration behaviors of a gear transmission system are minutely dissected by using a numerical integration approach. Numerical cases illustrate that the dynamic characteristic of a gear transmission system tends toward a one-period state under the given operating condition. They also indicate that, compared with softer coatings, stiffer ones can properly enhance the transmission performance of the coated gear pair. Numerical results are also compared with previous studies, and can establish a theoretical basis for dynamic design and vibration control of the coated gear transmission system.

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.

Periodic and Chaotic Dynamic Responses of Face Gear Transmission System

2013 ◽  
Vol 834-836 ◽  
pp. 1273-1280
Author(s):  
Ze Hua Hu ◽  
Jin Yuan Tang ◽  
Si Yu Chen
Keyword(s):  
Periodic Motion ◽  
Chaotic Dynamic ◽  
Rotational Frequency ◽  
Transmission System ◽  
Gear Transmission ◽  
Dynamic Responses ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Face Gear ◽  
Gear Transmission System

The periodic and chaotic dynamic responses of face gear transmission system considering time-varying mesh stiffness and backlash nonlinearity are studied. Firstly, a nonlinear time-varying dynamic model of face gear pair is developed and the motion equations are presented, the real accurate mesh stiffness is obtained by applying Finite element approach. Then, the dynamic equations are solved using Runge-Kutta numerical integral method and bifurcation diagrams are presented and analyzed. The stability properties of steady state responses are illustrated with Floquet multipliers and Lyapunov exponents. The results show that a process of periodic-chaotic-periodic motion exists with the dimensionless pinion rotational frequency as control parameters. The analysis can be a reference to avoid the chaotic motion and unstable periodic motion through choosing suitable rotational frequency.

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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