scholarly journals Analysis of dynamic characteristics of power split spiral bevel gear transmission system based on teeth geometric contact analysis

2019 ◽  
Vol 43 (1) ◽  
pp. 47-62 ◽  
Author(s):  
Hao Dong ◽  
Zhi-Yu Liu ◽  
Xiaolong Zhao ◽  
Ya-Hui Hu
Keyword(s):  
Dynamic Characteristics ◽  
Dynamic Load ◽  
Power Flow ◽  
Transmission System ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Time Varying ◽  
Gear Pair ◽  
Vibration Acceleration ◽  
Power Split

To solve the dynamic load distribution mechanism of the power split transmission system of spiral bevel gears, according to the characteristics of the closed loop of power flow, the deformation coordination condition is deduced. Through the gear teeth geometric contact analysis technique, the time-varying meshing stiffness conditions in the model are solved. The linear time-varying dynamic model of the torsional vibration of the bevel gear split transmission system is established by the lumped mass parameter method. Considering the influence of time-varying mesh stiffness excitation conditions and damping, the dynamic differential equations are treated in a dimensionless way. The dynamic load change and dynamic response characteristics of the system are obtained by numerical solution, and the influence of parameters such as speed and damping on dynamic power flow and dynamic characteristics of the system is revealed. The results show that with an increase of meshing damping ratio, dynamic power flow of each gear pair changes little, and the vibration acceleration and its root mean square value of each gear pair of the system are smaller. With an increase in speed, vibration acceleration and its average amplitude increase.

scholarly journals Dynamic Vibration Characteristic Analysis for the Power-Split Transmission System Based on Loaded Tooth Contact Analysis

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Hao Dong ◽  
Yan Cao ◽  
Zhou Fang
Keyword(s):  
Transmission System ◽  
Contact Analysis ◽  
Gear Pair ◽  
Characteristic Analysis ◽  
Lumped Mass ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Dynamic Vibration ◽  
Power Split ◽  
Loaded Tooth Contact Analysis

In order to solve the dynamic vibration characteristics of the power-split transmission system, the system of the dynamic mechanical model is established. Firstly, according to the theoretical analysis method of the tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA), the actual meshing process of each gear pair is simulated, and the time-varying mesh stiffness excitation is obtained, which can improve the numerical precision. Next, by using the lumped mass method, the bending-torsional coupling three-dimensional dynamical model of the power-split transmission is established. The identical dimensionless equations are deduced by eliminating the effect of rigid displacement and the method of dimensional normalization. Next, the frequency domain and time domain responses of this system are obtained. The dynamic load change characteristics of each gear pair are analyzed. The results show that establishment, solution, and analysis of the system dynamics model could provide a basis for the dynamic design and have an important significance for the dynamic efficiency analysis and dynamic performance optimization design of the power-split transmission. Through theoretical data compared with the experimental data, we verified the correctness of the method proposed.

scholarly journals Study on dynamic load-sharing characteristics of face gear dual-power split transmission system with backlash, support and spline clearance

2021 ◽  
Vol 12 (1) ◽  
pp. 573-587
Author(s):  
Hao Dong ◽  
Hao Qin Zhang ◽  
Xiao Long Zhao ◽  
Ling Ling Duan
Keyword(s):  
Dynamic Load ◽  
Load Sharing ◽  
Transmission System ◽  
Torsional Stiffness ◽  
Time Varying ◽  
Face Gear ◽  
Two Stage ◽  
Meshing Stiffness ◽  
Power Split ◽  
Dynamic Load Sharing

Abstract. The dynamic load-sharing characteristics of aircraft face gear dual-power split transmission system (FGDPSTS) are taken as the research object. Considering the factors of time-varying meshing stiffness, comprehensive error, backlash, support clearance, spline clearance, torsional stiffness, and support stiffness, the dynamic load-sharing model was constructed based on the lumped-parameter method. The loaded tooth contact analysis (LTCA) simulation method was used to calculate the time-varying meshing stiffness. The dynamic load-sharing coefficient (DLSC) is obtained by using Runge–Kutta method. The influences of errors, backlash, support clearance, spline clearance, torsional stiffness and support stiffness on DLSC were analyzed, and the biggest factors affecting dynamic load-sharing performance were found out. The results show that the influence of the backlash of the two-stage herringbone gear pair on the DLSC is more sensitive. The influence of support clearance on the DLSC is less. The load-sharing coefficient increases with the increase of the installation error and eccentricity error, and the influence of the error of the two-stage gears on the system load-sharing performance is the most sensitive. The torsional stiffness has little effect on the load-sharing coefficient of one stage but has great effect on the two-stage load-sharing coefficient. The influence of support stiffness on the DLSC of two-stage is stronger. It provided a theoretical basis for the dynamic stability optimization design of the system.

scholarly journals Load-Sharing Characteristics of Power-Split Transmission System Based on Deformation Compatibility and Loaded Tooth Contact Analysis

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Hao Dong ◽  
Ling-ling Duan ◽  
Jun-an Zhang ◽  
Zhou Fang
Keyword(s):  
Load Sharing ◽  
Transmission System ◽  
Contact Analysis ◽  
Torsional Angle ◽  
Gear Pair ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Power Split ◽  
Loaded Tooth Contact Analysis ◽  
Deformation Compatibility

In order to implement the uniform load distribution of the power-split transmission system, a pseudostatic model is built. Based on the loaded tooth contact analysis (LTCA) technique, the actual meshing process of each gear pair is simulated and the fitting curve of time-varying mesh stiffness is obtained. And then, the torsional angle deformation compatibility conditions are proposed according to the closed-loop characteristic of power flow, which will be combined with the torque equilibrium conditions and elastic support conditions to calculate the transfer torque of each gear pair. Finally, the load-sharing coefficient of the power-split transmission system is obtained, and the influences of the installation errors are analyzed. The results show that the above-mentioned installation errors comprehensively influence the load-sharing characteristics, and the reduction of only one error could not effectively achieve perfect load-sharing characteristics. Allowing for the spline clearance floating and constrained by the radial spacing ring, the influence of the floating pinion is analyzed. It shows that the floating pinion can improve the load-sharing characteristics. Through the comparison between the theoretical and related experimental data, the reasonability and feasibility of the above-proposed method and model are verified.

Research on Power Diffluence and Conflux Mechanism of Hydro-Mechanical Transmission

2012 ◽  
Vol 479-481 ◽  
pp. 921-924
Author(s):  
Zhao Lin Han ◽  
Feng Liu
Keyword(s):  
Power Flow ◽  
Transmission System ◽  
Mechanical Transmission ◽  
Gear Pair ◽  
Pump Speed ◽  
Characteristics Analysis ◽  
Dual Power

Abstract. Hydro-Mechanical Transmission (HMT) is a dual-power flow transmission system in which power is transferred parallel by mechanical transmission and hydraulic transmission. There are four types of HMT: torque-diffluence and torque-conflux, torque-diffluence and speed-conflux, speed-diffluence and speed-conflux, speed-diffluence and torque-conflux, when gear pair and planetary train are used as power diffluence or conflux mechanism respectively. And the result of kinematics characteristics analysis indicates that only torque-diffluence and speed-conflux type of HMT can be used as the vehicle transmission system because its output speed characteristics and pump speed characteristics can meet the requirements of the vehicle drive.

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.

scholarly journals Model and Characteristic Simulation Analysis of a Two-Speed Transmission System

2021 ◽  
Vol 26 (2) ◽  
pp. 180-191
Author(s):  
Zhigang Chen ◽  
Feng Xie ◽  
Zhihui Liu ◽  
Hongzhi Yan
Keyword(s):  
Dynamic Load ◽  
Simulation Analysis ◽  
Transmission Error ◽  
Transmission System ◽  
Torsional Stiffness ◽  
Parameter Method ◽  
Gear Pair ◽  
Dynamic Transmission Error ◽  
Excitation Frequencies ◽  
The One

One of the main tasks in the research of a helicopter two-speed transmission system was to improve its dynamic characteristics. For the low gear mode of the system, a dynamic model was established by using the lumped parameter method, the method of Runge-Kutta was used to solve the nonlinear dynamic system equations. The effect of the gear module on the dynamic transmission error, dynamic load of the gear pair and the dynamic windup angle of a one-way clutch were studied. And the effect of the one-way clutch torsional stiffness on the dynamic transmission error and dynamic load of the gear pair was also studied. The results show that: 1)~the dynamic transmission error of the gear pair decreases and the dynamic load of the gear pair increases with the increase of the gear module at the lower range of excitation frequencies; 2)~the dynamic windup angle of the one-way clutch increases with an increase of the gear module. 3)~the dynamic transmission error of the gear pair and the maximum dynamic load increases with an increase of the one-way clutch torsional stiffness at the lower and medium range of excitation frequencies. The above results can provide reference for the subsequent upgrade and improvement of the two-speed transmission system.

scholarly journals Analysis of Dynamic Characteristics of a Fractional-Order Spur Gear Pair with Internal and External Excitations

2021 ◽  
Author(s):  
Jingyu Hou ◽  
Shaopu Yang ◽  
Qiang Li ◽  
Yongqiang Liu
Keyword(s):  
Frequency Response ◽  
Fractional Order ◽  
Dynamic Characteristics ◽  
Spur Gear ◽  
Nonlinear Frequency ◽  
Time Varying ◽  
Gear Pair ◽  
Mesh Stiffness ◽  
The Impact ◽  
Ihb Method

Abstract The nonlinear frequency response characteristics of a spur gear pair with fractional-order derivative under combined internal and external excitations are investigated based on the incremental harmonic balance (IHB) method. First, a pure torsional vibration model is proposed that contains various complex factors, such as the time-varying mesh stiffness, transmission error, the fluctuation of input torque, backlash. Then, the IHB method is developed to calculate the higher-order approximate solution of the system and the correctness of the results is verified by comparing with numerical simulation results obtained by the Power Series Expansion (PSE) method. Furthermore, the types of various impact situations and their judgment conditions are discussed, and the different impact behaviors are analyzed in detail when w?[0,1.5] by using phase diagrams and amplitude-frequency response curves. The influence of important parameters on the dynamic characteristics of gear pair is analyzed at last. The results indicate that the analytical solution derived by IHB method is sufficiently precise. Significantly, the dynamic characteristics of the system could be effectively controlled by adjusting time-varying mesh stiffness coefficient, the order and coefficient of fractional-order term and the amplitudes of internal excitation or external excitation. As a part of the theory of fractional-order mechanical system, the impact performance of fractional-order gear pair is approached for the first time by analytical method.

Analysis of Vibration Characteristics for Wind Turbine Gearbox

2014 ◽  
Vol 496-500 ◽  
pp. 962-968
Author(s):  
Gang Shen ◽  
Dong Xiang ◽  
Peng Mou ◽  
Jing Min Jiang ◽  
Lang Gao
Keyword(s):  
Wind Speed ◽  
Wind Turbine ◽  
Dynamic Load ◽  
Vibration Characteristics ◽  
Time Varying ◽  
Gear Pair ◽  
Contrastive Analysis ◽  
Wind Turbine Gearbox ◽  
Vibration Displacement ◽  
Important Significance

Wind turbine is the high-end and important equipment, of which the reliability and stability is always one of the main problems. Because the gearbox is running under the condition of dynamic load caused by random wind speed, it has important significance for improving reliability of the transmission system to research dynamic behaviors of wind turbine gearbox, especially the vibration characteristics. First of all, time-varying stiffness of the meshing gear-pair is calculated in this article. Then the dynamic model of parallel gears is established and the corresponding vibration characteristics are simulated. Finally, the conclusion that the speed increasing gearbox has the amplified effect on vibration displacement disturbance and the speed decreasing gearbox has the diminished effect on vibration displacement disturbance is drawn from the contrastive analysis of vibration characteristics for these two gearboxes.

Non-Linear Dynamics of Gear Pair With Combined Internal and External Periodic Excitations

2014 ◽  
Author(s):  
Yinggang Li ◽  
Tianning Chen ◽  
Xiaopeng Wang
Keyword(s):  
Dynamic Characteristics ◽  
Nonlinear Dynamic ◽  
Damping Ratio ◽  
Primary Resonance ◽  
Harmonic Balance Method ◽  
Time Varying ◽  
Gear Pair ◽  
Force Amplitude ◽  
Nonlinear Dynamic Characteristics ◽  
Excitation Force

In this paper, we theoretically investigate the nonlinear dynamic characteristics of gear pair system under combined internal and external periodic excitations. The dynamic model of a viscously damped gear pair model with periodic time-varying stiffness, backlash, static transmission error and external periodic excitation is established. The incremental harmonic balance method (IHBM) is applied to analyze the frequency response characteristics as well as the effects of the periodic time-varying stiffness, excitation force amplitude and viscous damping ratio on the dynamic characteristics. Results show that, under combined internal and external periodic excitations, the multi-valued properties and jump phenomena occur not only in primary resonance frequency but also in super harmonic frequency, the excitation force amplitude has less influence on the nonlinear dynamic characteristics and the increase of the excitation force amplitude could no longer control the nonlinear vibration of gear system, which are different from the dynamic characteristics under internal periodic excitations.

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