Modeling of Helical Gear Power Tri-Branching Transmission Based on Loaded Tooth Contact Analysis

2013 ◽  
Vol 372 ◽  
pp. 543-546
Author(s):  
Xiao Fang Yang ◽  
Zong De Fang ◽  
Yong Zhen Zhang ◽  
Yuan Fei Han
Keyword(s):  
Structural Model ◽  
Transmission Error ◽  
Helical Gear ◽  
Transmission System ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Actual Application ◽  
Loaded Tooth Contact Analysis ◽  
Numerical Precision

According to the principle of tri-branching, a mechanism structural model was developed to analyze the helical gear transmission system. On the base of loaded tooth contact analysis (LTCA), the load transmission error of each gear stage is simulated at the any engagement position, and the fitting curves of the torsion mesh stiffness are obtained, which can improve the numerical precision. The research results can be applied to analyze the actual application of tri-branching transmission system and provide a firm foundation for study the power-split and load-sharing characteristics.

Simulation and Experimental Measurement of the Transmission Error of Real Hypoid Gears Under Load

2000 ◽  
Vol 122 (1) ◽  
pp. 109-122 ◽  
Author(s):  
Claude Gosselin ◽  
Thierry Guertin ◽  
Didier Remond ◽  
Yves Jean
Keyword(s):  
Measurement Data ◽  
Simulation Models ◽  
Transmission Error ◽  
Contact Analysis ◽  
Hypoid Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Loaded Tooth Contact Analysis ◽  
Analysis Models

The Transmission Error and Bearing Pattern of a gear set are fundamental aspects of its meshing behavior. To assess the validity of gear simulation models, the Transmission Error and Bearing Pattern of a Formate Hypoid gear set are measured under a variety of operating positions and applied loads. Measurement data are compared to simulation results of Tooth Contact Analysis and Loaded Tooth Contact Analysis models, and show excellent agreement for the considered test gear set. [S1050-0472(00)00901-6]

Tooth Contact Analysis of Longitudinal Cycloidal-Crowned Helical Gears With Circular Arc Teeth

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Wei-Shiang Wang ◽  
Zhang-Hua Fong
Keyword(s):  
Gear Tooth ◽  
Longitudinal Direction ◽  
Transmission Error ◽  
Helical Gear ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Circular Arc ◽  
Tooth Flank ◽  
Assembly Error

This paper proposes a new type of double-crowned helical gear that can be continuously cut on a modern Cartesian-type hypoid generator with two face-hobbing head cutters and circular-arc cutter blades. The gear tooth flank is double crowned with a cycloidal curve in the longitudinal direction and a circular arc in the profile direction. To gauge the sensitivity of the transmission errors and contact patterns resulting from various assembly errors, this paper applies a tooth contact analysis technique and presents several numerical examples that show the benefit of the proposed double-crowned helical gear set. In contrast to a conventional helical involute gear, the tooth bearing and transmission error of the proposed gear set are both controllable and insensitive to gear-set assembly error.

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.

Loaded Tooth Contact Analysis of Face Gear Drive with Modification

2010 ◽  
Vol 29-32 ◽  
pp. 1711-1716
Author(s):  
Shu Yan Zhang ◽  
Hui Guo
Keyword(s):  
Transmission Error ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Drive ◽  
Bearing Contact ◽  
Tooth Number ◽  
Loaded Tooth Contact Analysis

A double direction modification with a grinding worm is applied on tooth surface of face gear drive. The surface equations of the rack cutter, shaper and grinding worm are derived respectively. Loaded tooth contact analysis (LTCA) with finite element method (FEM) is performed to investigate the meshing performance of face gear drive before modification and after modification. The modification by a grinding worm can obviously reduce the sensitivity of face gear drive to misalignment; the bending stress and the contact stress are reduced with avoiding edge contact; the load transmission error is reduced. This method can obtain a more stable bearing contact in contrast to the method by increasing tooth number of shaper, and the modification magnitude can be controlled freely. The investigation is illustrated with numerical examples.

scholarly journals Design and Analysis for Hypoid Gears with Ease-Off Flank Modification

2022 ◽  
Vol 12 (2) ◽  
pp. 822
Author(s):  
Qin Wang ◽  
Jinke Jiang ◽  
Hua Chen ◽  
Junwei Tian ◽  
Yu Su ◽  
...  
Keyword(s):  
Error Function ◽  
Transmission Error ◽  
Contact Analysis ◽  
Initial Contact ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Effective Contact ◽  
Loaded Tooth Contact Analysis ◽  
Minimum Amplitude

An approach of ease-off flank modification for hypoid gears was proposed to improve the meshing performance of automobile drive axle. Firstly, a conjugate pinion matching with gear globally was developed based on gear meshing theory. Secondly, a modified pinion was represented by a sum of two vector functions determining the conjugate pinion and the normal ease-off deviations expressed by both predesigned transmission error function and tooth profile modification curves to change the initial contact clearance of the tooth. Thirdly, the best ease-off deviations were determined by optimizing the minimum amplitude of loaded transmission error (ALTE) based on tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA). Finally, the results show that effective contact ratios (εe) are established by clearances both teeth space and of contact elliptical, and greatly affect ALTE. The εe is a variable value with increasing loads for the tooth with modification. ALTE decreases with increasing εe. After εe reaches the maximum, ALTE increases with increasing loads. The mismatch of the best ease-off tooth is minimal, which contributes to effective reduction in ALTE, thus significantly improving drive performance.

Tooth modification and loaded tooth contact analysis of China Bearing Reducer

2019 ◽  
Vol 233 (17) ◽  
pp. 6240-6261 ◽  
Author(s):  
Xiaoxiao Sun ◽  
Liang Han ◽  
Jian Wang
Keyword(s):  
Transmission Error ◽  
Contact Analysis ◽  
Tooth Contact Analysis ◽  
Swarm Optimization ◽  
Tooth Contact ◽  
Analysis Algorithm ◽  
Manufacturing Error ◽  
Profile Modification ◽  
Modification Method ◽  
Loaded Tooth Contact Analysis

China Bearing Reducer (CBR) is a one-stage cycloid speed reducer, which has the advantages of large transmission ratio, large load, high precision, high stiffness, and compact structure. The profile modification quality and manufacturing error of cycloid gear are the key factors affecting the transmission accuracy. In this paper, the structure of CBR is introduced first. By means of tooth contact analysis, a new parabolic profile modification method is proposed to improve the transmission accuracy. Then, by using Hertzian contact theory, force equilibrium equations and deformation compatibility conditions, a loaded tooth contact analysis algorithm of CBR is proposed to analyze the loaded transmission characteristics. According to the designed manufacturing error, the objective function is established to minimize the transmission error under nonload condition, and the particle swarm optimization algorithm is used to solve the optimal modification coefficients. Finally, the CBR25 is manufactured with the optimum modification coefficients, and the manufacturing error is measured in coordinate measuring machine to verify that it meets the design requirements. The optimal modification coefficients of CBR25 under nonload are solved based on particle swarm optimization model. Then the optimal modification coefficients are substituted to loaded tooth contact analysis to analyze the meshing contact force, contact deformation, and transmission error of CBR25. The transmission error of the CBR25 is tested on the testing rig. The error between the measured results and the calculated results of loaded tooth contact analysis is within 5%, which shows the correctness of the loaded tooth contact analysis algorithm. At the same time, the operation stability of the CBR25 is improved by using the optimal modification method.

Analysis of Transmission Performance of Helical Gear Based on High-Order Modification Design

2013 ◽  
Vol 437 ◽  
pp. 236-240
Author(s):  
Jian Jun Yang ◽  
Jian Jun Wang ◽  
Shi Min Mao
Keyword(s):  
Contact Stress ◽  
Transmission Error ◽  
Helical Gear ◽  
Contact Analysis ◽  
High Order ◽  
Transmission Performance ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Edge Contact ◽  
Alignment Errors

Flank modification is widely used in helical gear to diminish contact stress and edge contact, to improve the transmission performance. In this paper, tooth contact analysis is used to simulate the modified helical gear driver with high-order parabolic modification curve. The results show that the transmission error is diminished, and the meshing area is non-sensitive to the alignment errors.

Measurements and theoretical analysis of a helical gear meshing impact signal

2019 ◽  
Vol 233 (4) ◽  
pp. 827-839
Author(s):  
Shengyang Hu ◽  
Zongde Fang ◽  
Chao Liu ◽  
Long Xiang
Keyword(s):  
Relevant Literature ◽  
Transmission Error ◽  
Contact Analysis ◽  
Practical Significance ◽  
Single Pair ◽  
Contact Ratio ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Maximum Deformation ◽  
Loaded Tooth Contact Analysis

Meshing impact is an important factor that affects gear vibration and noise. Therefore, it is of great theoretical and practical significance to study the characteristics of offline meshing impact to reduce the vibration caused by meshing impact. Currently, a single-pair gear is the research goal, ignoring complex coupling relationships between systems, and the established numerical solution formula of the meshing impact cannot be verified. By using Hilbert demodulation and instantaneous frequency, this study obtained the meshing impact signal from the dynamic transmission error signal of the experiment and obtained the maximum deformation caused by the meshing impact. The meshing stiffness of a single tooth was obtained by loaded tooth contact analysis and tooth contact analysis, and the meshing impact force was calculated. The dynamic model of the meshing impact considering the contact ratio was established to compare with the obtained force in the experiment. The method of measuring the meshing impact signal from experiments has not been reported in relevant literature. The method has the advantages of being extensive, accurate and convenient, and it is not affected by the complexity of the system. At the same time, this method can be used to determine the gear teeth with meshing impact in the course of operation and provide a basis for real-time shape modification and design. Therefore, it is of great significance.

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.

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