Transmission Error Calculation Based on Manufacturing Errors and Load

2014 ◽  
Vol 971-973 ◽  
pp. 848-851 ◽  
Author(s):  
Jian Jie Tang ◽  
Jin Yuan Tang
Keyword(s):  
Shape Change ◽  
Mathematic Model ◽  
Transmission Error ◽  
High Accuracy ◽  
Calculation Model ◽  
Gear Teeth ◽  
Error Calculation ◽  
Pitch Error ◽  
Great Consistency ◽  
Manufacturing Errors

A valid mathematic model is introduced to study the calculation of gear meshing transmission error, which is based on the manufacturing error and gear teeth deformation. Subsequently, take a pair of specific gear for example;The transmission error curves are obtained by the calculation model. The results show great consistency with the curves from Romax software, which indicates the validity and high accuracy of the mathematic model presented above. And it can be found that the shape change of transmission error curves affected mainly by the pitch error under the same conditions as the precision.

2D nonlinear and non-Hertzian gear teeth deflection model for static transmission error calculation

2021 ◽  
Vol 166 ◽  
pp. 104471
Author(s):  
Fabio Bruzzone ◽  
Tommaso Maggi ◽  
Claudio Marcellini ◽  
Carlo Rosso
Keyword(s):  
Transmission Error ◽  
Gear Teeth ◽  
Error Calculation ◽  
Static Transmission Error

Analysis of Load Dependent Dynamic Transmission Error Response of Gears With Random Pitch Error

2001 ◽  
Author(s):  
János Márialigeti ◽  
László Lovas
Keyword(s):  
Dynamic Behaviour ◽  
Dynamic Models ◽  
Transmission Error ◽  
Response Curves ◽  
Error Response ◽  
Response Characteristics ◽  
Pitch Error ◽  
Single Tooth ◽  
Manufacturing Errors ◽  
Tooth Pair

Abstract For more realistic gear dynamic behaviour predictions, detailed gear dynamic models are needed, allowing taking into consideration the most important influencing factors. System model is presented, based on the separate handling of individual tooth pairs, with their specific profile corrections, manufacturing errors etc. Further on, non-linear single tooth pair force-deflection curve is considered, resulting in load dependent eigenfrequency characteristics. Simulation results are presented for gears with randomly distributed pitch errors. Gears with normal tooth profile and with tip relief are compared, and vibration response characteristics are analysed based on Fourier analysis of simulated transmission error response curves.

Influence of manufacturing error tolerances on contact pressure in gears

2020 ◽  
pp. 095440622097671
Author(s):  
Rikard Hjelm ◽  
Hans Hansson ◽  
Aylin Ahadi ◽  
Carin Andersson ◽  
Jens Wahlström
Keyword(s):  
Contact Pressure ◽  
Industrial Applications ◽  
Spur Gears ◽  
Pitch Error ◽  
Simulation Based ◽  
Manufacturing Errors ◽  
Gear Manufacturing ◽  
Parametric Description ◽  
Gear Geometry ◽  
Slope Error

Gear manufacturing always results in some degree of manufacturing errors, i.e. deviations from the desired gear geometry. These errors alter how the gears mesh, typically causing increased contact pressure which in turn shortens service life. It is therefore crucial to choose tolerances such that excessive contact pressure, and especially tip contact, is avoided. With increasing demands due to electrification, this becomes even more important. The aim of this paper is to study how pitch error and profile slope error affect the contact pressure in spur gears sets. The meshing is simulated using a novel simulation approach that uses a parametric description of the reference profile and gear geometry, and a hybrid model for the compliance. The method includes tooth modifications such as tip relief, and uses the true geometry to find contacts. Thus, it also handles contact outside the nominal line of action, including tip contact. The study includes cases where a gear is subjected to both pitch error and profile slope error simultaneously. Numerical examples, relevant to the automotive industry, show the outcome of the simulations. It is shown how simulation-based tolerances for relevant industrial applications can be used to improve manufacturing outcome.

Nonlinear Dynamic Analysis of a New Antibacklash Gear Mechanism Design for Reducing Dynamic Transmission Error

2015 ◽  
Vol 137 (5) ◽  
Author(s):  
S. R. Besharati ◽  
V. Dabbagh ◽  
H. Amini ◽  
Ahmed A. D. Sarhan ◽  
J. Akbari ◽  
...  
Keyword(s):  
Mechanism Design ◽  
Nonlinear Dynamic ◽  
Nonlinear Dynamic Analysis ◽  
Transmission Error ◽  
Mesh Stiffness ◽  
Gear Teeth ◽  
Dynamic Transmission Error ◽  
Gear Mechanism ◽  
Lower Transmission ◽  
Input Torque

In this study, a new antibacklash gear mechanism design comprising three pinions and a rack is introduced. This mechanism offers several advantages compared to conventional antibacklash mechanisms, such as lower transmission error as well as lower required preload. Nonlinear dynamic modeling of this mechanism is developed to acquire insight into its dynamic behavior. It is observed that the amount of preload required to diminish the backlash depends on the applied input torque and nature of periodic mesh stiffness. Then, an attempt is made to obtain an approximate relation to find the minimum requiring preload to preserve the system’s antibacklash property and reduce friction and wear on the gear teeth. The mesh stiffness of the mated gears, rack, and pinion is achieved via finite element method. Assuming that all teeth are rigid and static transmission error is negligible, dynamic transmission error (DTE) would be zero for every input torque, which is a unique trait, not yet proposed in previous research.

scholarly journals A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

2021 ◽  
Vol 11 (18) ◽  
pp. 8671
Author(s):  
Chang Liu ◽  
Wankai Shi ◽  
Lang Xu ◽  
Kun Liu
Keyword(s):  
Transmission Error ◽  
Tooth Profile ◽  
Tolerance Allocation ◽  
Tooth Surface ◽  
Gear Pair ◽  
Eccentric Load ◽  
Novel Approach ◽  
Manufacturing Errors ◽  
Tooth Surfaces ◽  
Theoretical Analyses

Transmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), such as the instantaneous mesh-apart of tooth pairs and the eccentric load on the tooth surface. To fill this gap, a novel approach to accurately calculating the TE and backlash of a cycloid-pin gear pair based on the error tooth surfaces is proposed, and its feasibility and effectiveness are validated by comparison with the theoretical analyses and the results from the literature. Based on this, the effects of the PMs, MEs, and AEs on the transmission accuracy are studied, which will be helpful in optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. The proposed method is also expected to provide accurate error excitation data for the dynamic analysis of cycloid-pin drives.

scholarly journals Study on variable condition model for steam turbine based on internal and external characteristics

2022 ◽  
Vol 355 ◽  
pp. 03071
Author(s):  
Gang Liu ◽  
Guang Yu ◽  
Qingyuan Xue
Keyword(s):  
Steam Turbine ◽  
Engineering Application ◽  
High Accuracy ◽  
Calculation Model ◽  
Constant Flow ◽  
Constant Power ◽  
Condition Model ◽  
Design Value ◽  
Variable Condition ◽  
External Characteristics

It is not easy to carry out the detailed variable condition calculation of steam turbine in engineering application. In this paper, a variable condition calculation model based on the internal and external characteristics of steam turbine is proposed, and a variable condition calculation model of constant power and constant flow is established. The model is applied to calculate 75% THA, 50%THA, typical industrial and heating extraction conditions of a subcritical 330 MW unit. The error is small compared with the design value, and the calculation accuracy meets the requirements. The results show that the model has high accuracy and can meet the requirements of engineering application.

X3D-based Virtual Prototype Robot Mechanism Simulation

2015 ◽  
Vol 7 (1) ◽  
pp. 30-45
Author(s):  
Meng XianHui ◽  
Yuan Chong
Keyword(s):  
Industrial Robot ◽  
Basic Research ◽  
Mathematic Model ◽  
Virtual Prototype ◽  
Calculation Model ◽  
The Body ◽  
Robot Kinematics ◽  
Prototype Model ◽  
Kinematics Simulation ◽  
Virtual Prototype Technology

This paper mainly studies the goal when using standard X3D robot virtual prototype technology research, design, and kinematics simulation of the body. In the study, the virtual prototype model should be able to satisfy the basic research and design of industrial robot kinematics. Validation X3D technology in the design of virtual prototype of robots can have good effective action. The design of industrial robot virtualization is positive. This work includes X3D technology based on the model, the robot kinematics mathematic model of virtual prototype, and the use of this robot kinematics model using the model analysis of the performance parameters of the robot virtual prototype. This paper solves X3D using the virtual prototype technology robot run to learn some key problems of the simulation of the virtual prototype of robot X3D expression methods (robot virtual body expression, organization, the assembly, and the constraint X3D research). Based on the virtual prototype, X3D is inverse kinematics calculation model.

Manufacturing Errors Effects on Disturbing Torque of Aerostatic Bearings

2009 ◽  
Vol 16-19 ◽  
pp. 505-509 ◽  
Author(s):  
Jing Shi Liu ◽  
Ya Zhou Sun ◽  
Li Hua Lu ◽  
Ying Chun Liang
Keyword(s):  
Finite Element ◽  
Zero Point ◽  
Mathematic Model ◽  
Position Angle ◽  
Major Influence ◽  
Eccentricity Ratio ◽  
Roundness Error ◽  
Setting Angle ◽  
Manufacturing Errors ◽  
Aerostatic Bearings

In order to improve the drifting accuracy of aerostatic bearings, the manufacturing errors effects on disturbing torque of aerostatic bearings is studied by using the finite element method. The finite element mathematic model of the major influence factors of disturbing torque is established. Then, the finite element equation in the gas film domain is solved and the disturbing torque in the presence of disturbing factors is calculated. The research focuses on elliptical error and prismatic error of journal and incline error of throttle slit. The setting angle of journal, incline position angle of throttle slit and radial eccentricity ratio which affect the disturbing torque is also studied. The results show that roundness error of journal and incline error of throttle slit affect the disturbing torque significantly, that is the greater roundness error of journal and incline error of throttle slit the greater disturbing torque. Disturbing torque is periodic function of setting angle of journal and incline position angle of throttle slit. Radial eccentricity ratio affects the disturbing torque, and there is specific radial eccentricity ratio makes disturbing torque to be extreme point or zero point. In the research, the theoretical disturbing torque value is compared with the experimental value of a certain aerostatic bearing, find that they are on the whole accordant with each other and then prove that the finite element model and the method use to solve the problem is correct. The research is of great significance for designing, manufacturing and assembling aerostatic bearings and for performance prediction of aerostatic bearings.

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