Dynamic characteristics and load-sharing performance of concentric face gear split-torque transmission systems with time-varying mesh stiffness, flexible supports and deformable shafts

Meccanica ◽  
2021 ◽  
Author(s):  
Jianxiong Dong ◽  
Qibo Wang ◽  
Jinyuan Tang ◽  
Zehua Hu ◽  
Xiaoqian Li
Keyword(s):  
Dynamic Characteristics ◽  
Load Sharing ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Face Gear ◽  
Transmission Systems ◽  
Torque Transmission ◽  
Flexible Supports ◽  
Split Torque

scholarly journals Floating Shaft Load Sharing Method for Face Gear Split Torque Transmission System

2013 ◽  
Vol 5 (12) ◽  
pp. 3386-3392 ◽  
Author(s):  
Ruifeng Wang ◽  
Ning Zhao ◽  
Li Tao ◽  
Qingjian Jia ◽  
Hui Guo
Keyword(s):  
Load Sharing ◽  
Transmission System ◽  
Face Gear ◽  
Torque Transmission ◽  
Split Torque

scholarly journals Influence of torsional stiffness on load sharing coefficient of a power split drive system

2018 ◽  
Vol 211 ◽  
pp. 17002
Author(s):  
Guanghu Jin ◽  
Wei Ren ◽  
Rupeng Zhu
Keyword(s):  
Load Sharing ◽  
Power Input ◽  
Torsional Stiffness ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Face Gear ◽  
Cylindrical Gear ◽  
Transmission Shaft ◽  
Power Split ◽  
Coordination Ability

A dynamic model of power split transmission system with face gear and cylindrical gear is established. The factors including time-varying mesh stiffness, torsional stiffness, supporting stiffness, and clearance are considered in the model. The influence of the torsional stiffness of compound gear shaft on the load sharing coefficient is analyzed. The results show that the influence of the torsional stiffness of the compound gear shaft is obvious. Because the torsional stiffness of the output gear components is larger and the torsional stiffness of the input gear is smaller, so the input stage's deformation coordination ability is strong. Therefore, with the increase of the torsional stiffness of the compound gear shaft, the load sharing coefficient of the power input stages is improved, but the load sharing coefficient of the split torque stages and power confluence stages is worse. Hence, the torsional stiffness ratio of the transmission shaft should be rationally allocated under the condition that the torsional stiffness of the compound shaft is small.

scholarly journals Investigation of Load Sharing and Dynamic Load Characteristics of a Split Torque Transmission System with Double-Helical Gear Modification

2021 ◽  
Vol 2021 ◽  
pp. 1-22
Author(s):  
Xuan Liu ◽  
Zongde Fang ◽  
Haitao Jia ◽  
Ning Zhao ◽  
Yunbo Shen ◽  
...  
Keyword(s):  
Dynamic Load ◽  
Load Sharing ◽  
Helical Gear ◽  
Transmission System ◽  
Time Varying ◽  
Tooth Contact Analysis ◽  
Meshing Stiffness ◽  
Torque Transmission ◽  
Load Characteristics ◽  
Split Torque

A new dynamic model for a two-input two-path split torque transmission system which considers meshing error, time-varying meshing stiffness, and meshing-in impact is proposed. Time-varying meshing stiffness and meshing-in impact of each gear pair are accurately calculated based on tooth contact analysis and loaded tooth contact analysis. Equivalent displacements of eccentricity error and installation error along the meshing line of second- and third-stages gears are derived. The modified tooth surface of a third-stage double-helical gear is obtained by optimizing the amplitude of static loaded transmission error and meshing-in impact via nondominated sorting genetic algorithm-II (NSGA-II). Influence of modification on load sharing and dynamic load characteristics of split torque transmission system is investigated. The results indicate that the system’s dynamic meshing force increases when meshing-in impact is accounted for, which is unfavorable for the transmission. Following the modification of a double-helical gear, the dynamic load characteristics of the split torque transmission system are significantly improved, while its load sharing characteristics are improved to a certain extent.

scholarly journals Study on the load-sharing characteristics of face-gear four-branching split-torque transmission system

2021 ◽  
Vol 13 (4) ◽  
pp. 168781402110099
Author(s):  
Dong Hao ◽  
Zhang Hao-qin ◽  
Zhao Xiao-long ◽  
Duan Ling-ling
Keyword(s):  
Load Sharing ◽  
Transmission System ◽  
Torsional Angle ◽  
Analysis Model ◽  
Radial Limit ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Torque Transmission ◽  
Manufacturing Errors ◽  
Split Torque

In order to solve the load-sharing characteristics of face-gear four-branching split-torque transmission system (FGFBSTTS), the static load-sharing mechanical analysis model was established. In the model, the deformation coordination conditions of torsional angle and torque balance condition were considered. By using Loaded Tooth Contact Analysis (LTCA) technology of face gear and herringbone gear, the time-varying meshing stiffness was calculated. The influences of manufacturing errors, installation errors, I-stage pinion floating, II-stage pinion spline clearance floating, and radial limit ring clearance floating on the load-sharing characteristics are analyzed. The results show that the LTCA technology is more accurate to reflect the load-sharing characteristics of each meshing position. When the I-stage pinion and the II-stage pinion floated at the same time, the best load-sharing characteristics can be obtained. The load-sharing characteristics affected by manufacturing errors showed obvious periodic change. The radial limit ring plays a better auxiliary role in load-sharing characteristics. The theoretical results were compared with the experiments to verify the correctness of the theoretical analysis. The research results can provide a theoretical basis for the optimal design of the load-sharing structure, error control, and assembly of the face gear four branch transmission system.

Survey of nonlinear vibration of gear transmission systems

2003 ◽  
Vol 56 (3) ◽  
pp. 309-329 ◽  
Author(s):  
Jianjun Wang ◽  
Runfang Li and ◽  
Xianghe Peng
Keyword(s):  
Nonlinear Vibration ◽  
Review Article ◽  
Gear Transmission ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Transmission Systems ◽  
Driven Systems ◽  
The Past ◽  
Critical Issues ◽  
Basic Concepts

In this paper, the progress in nonlinear dynamics of gear driven systems in the past twenty years is reviewed, especially the gear dynamic behavior, by considering the backlash and time-varying mesh stiffness of teeth. The basic concepts, the mathematical models and the solving methods for the non-linear dynamics of geared systems are then reviewed. The critical issues for further research on the nonlinear vibration in gear transmission systems are also discussed. There are 204 references cited in this review article.

Investigation of nonlinear dynamics and load sharing characteristics of a two-path split torque transmission system

2020 ◽  
Vol 152 ◽  
pp. 103955 ◽  
Author(s):  
Zehua Hu ◽  
Jinyuan Tang ◽  
Qingshan Wang ◽  
Siyu Chen ◽  
Lulu Qian
Keyword(s):  
Nonlinear Dynamics ◽  
Load Sharing ◽  
Transmission System ◽  
Torque Transmission ◽  
Split Torque

Effects of Temperature on the Time-Varying Mesh Stiffness, Vibration Response, and Support Force of a Multi-Stage Planetary Gear

2020 ◽  
Vol 142 (5) ◽  
Author(s):  
Hui Liu ◽  
Pengfei Yan ◽  
Pu Gao
Keyword(s):  
Temperature Change ◽  
Dynamic Characteristics ◽  
Nonlinear Dynamic ◽  
Thermal Deformation ◽  
Planetary Gear ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Vibration Displacement ◽  
Influence Of Temperature ◽  
Nonlinear Dynamic Characteristics

Abstract The thermal deformation of gears will affect the vibration of the planetary system; this research mainly studied the effect of thermal conditions on planetary systems nonlinear vibration under the thermal equilibrium state. To study the influence of gear temperature on the planetary gear system, a nonlinear dynamic model considering thermal deformation was established. The mathematical expression of the thermal time-varying mesh stiffness (TTVMS) varied with temperature, and the backlash caused by the temperature change was also computed. The influence of temperature on the TTVMS was investigated. The calculation results indicated that the methods used to determine the TTVMS and backlash of gear pairs were effective, and the trends of the change in the nonlinear dynamic characteristics with temperature were obtained. According to the fast Fourier transform (FFT) spectrums and root-mean-square (RMS) analysis, the influence of temperature change on the nonlinear dynamic characteristics of the system was analyzed. When the temperature was lower than 80 °C, the vibration displacement and the supporting shaft load remained unchanged or decreased. Once the temperature was higher than 80 °C, the vibration displacement and load of the system were strengthened.

Analysis of tooth stiffness of nutation face gear

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Guangxin Wang ◽  
Lili Zhu ◽  
Peng Wang
Keyword(s):  
Gear Transmission ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Face Gear ◽  
Content Type ◽  
Gear Teeth ◽  
Meshing Stiffness ◽  
Single Tooth ◽  
Tooth Stiffness ◽  
External Face

Purpose The purpose of this paper is to obtain the single-tooth stiffness, single-tooth time-varying meshing stiffness and comprehensive meshing stiffness of the internal and external face gears and to analyze the influence of the modulus, pressure angle and tooth width of each face gear on the single-tooth stiffness of the gear in nutation face gear transmission. Design/methodology/approach From the point of view of material mechanics, the gear teeth of nutation face gear are simplified as spacial variable cross-section beams. The shear deformation of gear teeth, the bending deformation of tooth root and the additional elastic deformation caused by the base deformation are gotten by simplified trapezoidal section method, thus the stiffness of nutation face gear teeth can be obtained. The comparison with finite element method results verifies the rationality of simplified trapezoidal section method for calculating the tooth stiffness of nutation face gear. Findings The variation of stiffness of internal and external face gears along the meshing line and tooth height in nutation face gear transmission is studied, and the variation laws of single tooth stiffness, single-tooth-pair mesh stiffness and single tooth time-varying meshing stiffness of nutation face gear teeth are obtained. Originality/value Nutation face gear transmission is a new type of transmission. The stiffness of face gear teeth is analyzed, and the variation rules of single tooth stiffness, single-tooth-pair mesh stiffness and single tooth time-varying meshing stiffness of nutation face gear teeth are obtained, which not only enriches the research of nutation face gear transmission but also has important guiding significance for the application of nutation face gear in engineering practice.

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