An Active Ease-Off Topography Modification Approach for Hypoid Pinions Based on a Modified Error Sensitivity Analysis Method

2019 ◽  
Vol 141 (9) ◽  
Author(s):  
G. Li ◽  
W. D. Zhu
Keyword(s):  
Sensitivity Analysis ◽  
Contact Point ◽  
Transmission Error ◽  
Gear Pair ◽  
Hypoid Gear ◽  
Analysis Method ◽  
Error Sensitivity ◽  
Sensitivity Analysis Method ◽  
Tooth Surfaces ◽  
Error Sensitivity Analysis

A new active ease-off topography modification approach is proposed to improve the meshing performance of hypoid gears based on a fourth-order predesigned transmission error (PTE) model and a modified error sensitivity analysis method. Ease-off topography modifications that describe local deviations of pinion tooth surfaces can be conducted by converting the fourth-order PTE into equivalent deviations of pinion tooth surfaces. The modified error sensitivity analysis method is developed to investigate the effects of misalignments on the moving velocity of a contact point of a hypoid gear pair. The moving velocity of the contact point can describe transmission error (TE) curve shapes of ease-off tooth surfaces. The ease-off topography modification approach can achieve TE precontrol and modification curvature adjustment of the pinion for stable meshing performance of the hypoid gear pair. Moreover, pinion ease-off tooth surfaces are finished by a five-axis computer numerical control swarf-cutting machine tool. Swarf-cutting tests and TE measurement tests are conducted on hypoid gear pair specimens to demonstrate the feasibility and effectiveness of the proposed methodology.

Numerical Analysis and Experimental Research on the Element-Length Error Sensitivity of the Cable-Bar Tensile Structure

2015 ◽  
Vol 744-746 ◽  
pp. 187-191
Author(s):  
Lian Meng Chen ◽  
Xi Guo Ye ◽  
Yi Yi Zhou ◽  
Yu Hong Cui
Keyword(s):  
Sensitivity Analysis ◽  
Numerical Analysis ◽  
Length Change ◽  
Experimental Results ◽  
Structure Model ◽  
Analysis Method ◽  
Ansys Software ◽  
Error Sensitivity ◽  
Sensitivity Analysis Method ◽  
Error Sensitivity Analysis

According to the element-length errors inevitably existing in the real cable-bar tensile structures, numerical analysis on the element-length error sensitivity was firstly carried out with the help of ANSYS software, where the element length change was simulated by imposing the temperature affection. Then a cable-bar tensile structure model with the diameter of 5.0m was designed and fabricated. The element-length errors were simulated by adjusting the element length and each member in one unit was elongated 3mm respectively to explore the error sensitivity of each kind of element. The numerical analysis and experimental results indicated that different element has different error sensitivity. The error sensitivity of the hoop cables was the most sensitive, the ridge cables and diagonal cables were lower and the struts were the lowest. The experimental results performed almost consistent with the analytical results, which indicated that the proposed error sensitivity analysis method is accurate and the design of the model is effective.

Support node construction error analysis of a cable-strut tensile structure based on the reliability theory

2018 ◽  
Vol 21 (10) ◽  
pp. 1553-1561
Author(s):  
Lian-Meng Chen ◽  
Dong Hu ◽  
Wei-Feng Gao ◽  
Shi-Lin Dong ◽  
Yi-Yi Zhou ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Reliability Index ◽  
Limit State ◽  
Internal Force ◽  
Reliability Theory ◽  
Analysis Method ◽  
Error Sensitivity ◽  
Serviceability Limit State ◽  
Sensitivity Analysis Method ◽  
Error Sensitivity Analysis

A support node construction error sensitivity analysis was conducted, and the allowable value of node error was determined in this study based on the reliability theory and using the ANSYS software. First, the node construction error sensitivity analysis method was proposed based on Latin hypercube sampling, and detailed procedures were described. Then, a method for determining an allowable error value with a reliability index not less than 1.5, an internal force deviation of the cable not greater than 10%, and a normal serviceability limit state was presented. An exemplary tensile structure with different error distribution and error values was employed to verify the proposed method. Finally, a cable-strut tensile structure model with a diameter of 5.0 m was designed and fabricated. The research showed that different directions of the node construction error had different error sensitivities, and that each direction of the node error had different error sensitivities for different elements. The allowable node construction error can be obtained using a linear searching method with a reliability index not less than 1.5, an internal force deviation of the cable not greater than 10%, and a normal serviceability limit state. The theoretical results were generally consistent with the experimental results, which indicated that the proposed error sensitivity analysis method was accurate. Thus, this study has value for both theoretical research and engineering applications.

scholarly journals An Elastic Transmission Error Compensation Method for Rotary Vector Speed Reducers Based on Error Sensitivity Analysis

2020 ◽  
Vol 10 (2) ◽  
pp. 481 ◽  
Author(s):  
Yuhao Hu ◽  
Gang Li ◽  
Weidong Zhu ◽  
Jiankun Cui
Keyword(s):  
Sensitivity Analysis ◽  
Transmission Error ◽  
Compensation Method ◽  
Tooth Surface ◽  
Error Sensitivity ◽  
Positive Effects ◽  
Speed Reducer ◽  
Calculation Results ◽  
Error Sensitivity Analysis ◽  
Maximum Contact

An elastic transmission error (TE) compensation method for a rotary vector (RV) speed reducer is proposed to improve its transmission accuracy based on error sensitivity analysis. Elastic and geometric TEs of the RV speed reducer can be compensated by tooth surface modification of cycloidal gears. Error coefficients of the TE of the RV speed reducer are derived to determine error factors with positive effects on TEs based on error sensitivity analysis. A total TE, including the elastic TE, is obtained by using Adams. The elastic TE compensation method is developed to calculate modification values of error factors with positive effects on the TE to decrease the elastic TE of the RV speed reducer. TE simulation results show that the elastic TE accounts for 25.28% of the total TE, and calculation results show that the maximum contact force and normal deformation of the modified prototype are obviously improved. The feasibility and accuracy of the proposed elastic TE compensation method for RV speed reducers were verified by TE experiments. TE experiment results showed that the TE of the modified RV speed reducer is 47.22% less than that of the initial RV speed reducer.

Error-sensitivity analysis for hypoid gears using a real tooth surface contact model

2016 ◽  
Vol 231 (3) ◽  
pp. 507-521 ◽  
Author(s):  
Gang Li ◽  
Zhonghou Wang ◽  
Aizoh Kubo
Keyword(s):  
Sensitivity Analysis ◽  
Discrete Data ◽  
Tooth Surface ◽  
Analysis Model ◽  
Tooth Contact Analysis ◽  
Hypoid Gears ◽  
Error Sensitivity ◽  
Tooth Surfaces ◽  
Data Points ◽  
Error Sensitivity Analysis

Accurately and rapidly evaluated error sensitivity of actual tooth surfaces of hypoid gears can be a significant foundation for a variety of dynamic preference analysis and machine tool setting readjustments. Due to the complexity of local geometric features as well as the limitations of the data measurement on tooth surfaces of hypoid gears, automated error-sensitivity analysis for actual tooth surfaces still presents many substantial challenges. This paper presents a novel methodology for the error-sensitivity analysis of real tooth surfaces of hypoid gears. The methodology combines an error-sensitivity analysis model with a numerical analytical real tooth contact analysis (RTCA) model. The real tooth surfaces, describing local micro-geometry features on actual tooth surfaces, have been produced by 3D discrete data points reconstruction. In this method, the discrete data points on actual tooth surfaces are measured by using a coordinate measure machine (CMM). The location, size, and shape of contact patterns are determined from the predicted interference areas distribution by numerical analysis. In addition, the error-sensitivity analysis model is established for evaluation of the sensitivity of hypoid gears with real tooth surfaces that corresponds to misalignments. The results of experiment show that the proposed method can obtain actual contact properties that significantly improve the basic design performances significantly.

Retaining Hypoid Gear Performance Characteristics With Differential Housing and Shafts Deflections

2006 ◽  
Author(s):  
Mohsen Kolivand ◽  
Abdolhamid Hannaneh ◽  
Nasser Soltani ◽  
Zabihhollah Kargar Shoroki
Keyword(s):  
Close Relation ◽  
Transmission Error ◽  
Performance Characteristics ◽  
Gear Pair ◽  
Contact Pattern ◽  
Hypoid Gear ◽  
Design And Optimization ◽  
Pattern Size ◽  
Tooth Surfaces ◽  
Differential Housing

Hypoid gears are widely used in rear drive and 4WD vehicle axles. Investigation of their sensitivity to misalignments is one of the most important aspects of their design and optimization procedures. Because of unavoidable mounting deflections under working load, the values for mounting distances and angle deviate from the designed (desired) values (due to elastic deformation of differential housing and gear shafts). As a result the performance characteristics will be changed. This study provides a calculation procedure to design "optimized vehicle differential housing side elastic coefficients" that maintains primary performance characteristics during load variations (caused by both the road and engines). The calculation is based on third order contact surface parameters for combined mismatched tooth surfaces. Calculations will be done in four separate groups to maintain four primary groups of performance characteristics, including: i) the amount of transmission error ii) contact pattern shape (by controlling bias angle) iii) backlash and iv) contact pattern size; in all mentioned cases theoretical contact pattern position during differential housing deflections is kept unchanged. Moreover, an experimental analysis was performed on a hypoid gear pair, the results of which were in close relation to theoretical results of sensitivity of contact pattern location. The method used in this study gives insight to effects of differential housing and gear shaft deflections (as misalignments) on hypoid gear performance. Considering this information in differential housing and gear shaft design will provide more correlations between hypoid gear pair and their housing and shafts in order to optimize performance characteristics under actual load.

Error-sensitivity analysis of hourglass worm gearing with spherical meshing elements

2013 ◽  
Vol 70 ◽  
pp. 91-105 ◽  
Author(s):  
Houjun Chen ◽  
Zhilan Ju ◽  
Chang Qu ◽  
Xiong Cai ◽  
Yan Zhang ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Error Sensitivity ◽  
Worm Gearing ◽  
Error Sensitivity Analysis
Sign in / Sign up

Export Citation Format

Share Document