scholarly journals Coupled Bending-Torsional Nonlinear Vibration and Bifurcation Characteristics of Spiral Bevel Gear System

2017 ◽  
Vol 2017 ◽  
pp. 1-14 ◽  
Author(s):  
Jinli Xu ◽  
Fancong Zeng ◽  
Xingyi Su
Keyword(s):  
Nonlinear Vibration ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Global Bifurcation ◽  
Transmission Error ◽  
Bevel Gear ◽  
Gear System ◽  
Spiral Bevel Gear ◽  
Gear Backlash ◽  
Spiral Bevel

A spiral bevel gear system supported on thrust bearings considering the coupled bending-torsional nonlinear vibration is proposed and an eight degrees of freedom (8DOF) lumped parameter dynamic model of the spiral bevel gear system combined with time-varying stiffness, static transmission error, gear backlash, and bearing clearances is investigated. The spiral bevel gear system is analyzed with the equations of motion and the dynamic response is solved using the Runge-Kutta method. The effects of mesh frequency, mesh damping coefficient, load coefficient, and gear backlash are revealed, which describe the true mesh characteristics of the spiral bevel gear system. The bifurcation characteristics as jump discontinuities, periodic windows, and chaos are obtained by studying time histories, phase plane portraits, Poincaré maps, Fourier spectra, and global bifurcation diagrams of the gear system. The results presented in this study provide some useful information for engineers in designing and controlling such gear systems.

Dynamic Analysis of Spiral Bevel Gear Pair under Time-Varying Backlash

2014 ◽  
Vol 940 ◽  
pp. 217-221 ◽  
Author(s):  
Huan Song Qiu ◽  
Jie Hong Yuan ◽  
Yuan Li ◽  
Xing Li
Keyword(s):  
Transmission Error ◽  
Bevel Gear ◽  
Gear System ◽  
Spiral Bevel Gear ◽  
Harmonic Amplitude ◽  
Time Varying ◽  
Gear Pair ◽  
Velocity Amplitude ◽  
Non Linear ◽  
Spiral Bevel

Neglecting the influence of static transmission error, a non-linear dynamic model of spiral bevel gear pair with time-varying backlash was presented. Through the simplification of above model, the dimensionless form of gear system was obtained. Then, the dynamic characteristics of gear system were acquired by using Runge-Kutta method under the influence of time-varying backlash and torque. The results showed primary harmonic amplitude of gear backlash and torque had a significant effect on the non-linear and vibration characteristics of gear system. With the change of that, bifurcation phenomenon, quasi periodic motion and chaotic motion were detected. In addition, the variation and fluctuation of amplitude, containing displacement amplitude and velocity amplitude, were analyzed detailedly.

Design and analysis of high contact ratio spiral bevel gears by modified curvature motion method

2017 ◽  
Vol 232 (19) ◽  
pp. 3396-3409 ◽  
Author(s):  
Yanming Mu ◽  
Zongde Fang
Keyword(s):  
Transmission Error ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Contact Ratio ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Curvature Motion ◽  
Seventh Order ◽  
Spiral Bevel ◽  
Motion Method

This paper presents a new method to design a seventh-order transmission error for high contact ratio spiral bevel gears by the modified curvature motion method to reach the purpose of reducing or eliminating gear vibration and noise. In this paper, firstly, based on the predesigned seventh-order transmission error, the polynomial coefficients of transmission error curve can be obtained. Secondly, a method named modified curvature motion method is used to generate the spiral bevel gear with the predesigned transmission error. Lastly, based on TCA and LTCA, we verify the feasibility of the modified curvature motion method to generate spiral bevel gear with seventh-order transmission error, and the meshing impact of gear set with the seventh-order and second-order function of transmission error is analyzed and compared. The results of a numerical example show that the seventh-order transmission error acquired by the modified curvature motion method can effectively reduce the meshing impact of spiral bevel gears. The tooth modification method and meshing impact analysis method can serve as a basis for developing a general technique of flank modification for spiral bevel gears.

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.

Analysis of Grinding Dynamic Based on Grind Teeth Vibration Model of Spiral Bevel Gears

2014 ◽  
Vol 602-605 ◽  
pp. 176-179
Author(s):  
Miao Xin Xiao ◽  
Jian Jun Yang
Keyword(s):  
Phase Diagram ◽  
Dynamic Response ◽  
Degrees Of Freedom ◽  
Time Course ◽  
Transmission Error ◽  
Spiral Bevel Gear ◽  
Bevel Gears ◽  
Vibration Model ◽  
Braking Torque ◽  
Spiral Bevel

Starting from the fact of backlash and gear transmission error, it is established vibration model of spiral bevel gear lapping system with two degrees of freedom. Through normalized calculate, it is obtained dynamic response of lapping vibration model under different braking torque. According to the time course and the phase diagram, during the process that brake torque switch from small to big, teeth meshing, collision and disengaged alternately goes on, and with the braking torque increases to a certain value, the teeth collision disappear and then back into the complete meshing state.

Research on Nonlinear Vibration Characteristics of Spiral Bevel Gear

2016 ◽  
Vol 11 (2) ◽  
pp. 277-286 ◽  
Author(s):  
Nie Junfeng ◽  
Yu Guangbin ◽  
Song Ye ◽  
Qu Zhigang ◽  
Zheng Minli ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Characteristics ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Spiral Bevel

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.

A Design Method for the Pinion of a Spiral Bevel Gear Drive Admitting Full Control on the Contact Area and the Transmission Error

2015 ◽  
Author(s):  
Baozhen Lei ◽  
Harald Löwe ◽  
Yuqiang Feng ◽  
Xunwei Wang
Keyword(s):  
Contact Area ◽  
Design Method ◽  
Transmission Function ◽  
Transmission Error ◽  
Bevel Gear ◽  
Cnc Machining ◽  
Spiral Bevel Gear ◽  
Gear Drive ◽  
Full Control ◽  
Spiral Bevel

Two methods for the design of the pinion apposite to an existing spiral bevel gear are proposed. In both methods, the gear is given by a discrete or smooth parameterization, and the pinion is described in the same way, i.e. it can be produced on a CNC machining center without any further efforts. The first method gives full control on the position, direction, and the extent of the contact area of the pinion. The second method starts by choosing a quite arbitrary transmission function of the gear drive to be designed, and then gives full control on the position, direction, and the width of the contact area. Therefore, both methods provide much freedom in the design process.

Tooth Contact Analysis and Transmission Error Optimization for Klingelnberg Spiral Bevel Gear

2013 ◽  
Vol 310 ◽  
pp. 323-327
Author(s):  
Chun Hua Guo ◽  
Wen Tong Yang ◽  
Zhi Feng Liu ◽  
Zhi Min Zhang
Keyword(s):  
Fuzzy Optimization ◽  
Optimization Method ◽  
Transmission Error ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Optimization Parameters ◽  
Spiral Bevel

The contents of the paper cover tooth contact analysis and optimization of transmission error for Klingelnberg spiral bevel gear. First, the rolling model, tooth contact analysis formulas are derived, contact area and transmission error curve is plotted. Second, the fuzzy optimization method is established to enhance the performance of the gears meshing, the optimization parameters can be confirmed to reduce transmission error. Third, an example of Klingelnberg spiral bevel gear for the illustration of the developed theory is represented.

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