Transmission Errors and Backlash Analysis of a Single-Stage Cycloidal Drive Using Tooth Contact Analysis

2018 ◽  
Author(s):  
Yi-Pei Shih ◽  
Bor-Tyng Sheen ◽  
Kun-Yu Wu ◽  
Jyh-Jone Lee
Keyword(s):  
Mathematical Models ◽  
Direct Method ◽  
Contact Analysis ◽  
Industrial Robots ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Transmission Errors ◽  
Manufacturing Errors ◽  
Dynamic Performances ◽  
Gear Drives

Cycloidal gear drives possess compact sizes, large reduction ratios, and low backlash. They are particularly suitable for applications in precise positioning and large output torque, for example, industrial robots and machine tools. Two main dynamic performances, transmission accuracy and backlash, is directly influenced by manufacturing errors. This paper aims to provide a direct method to effectively evaluate both performances. The mathematical models of transmission errors and backlash are established using the theory of gearing as well as tooth contact analysis. Three cases, considering profile modifications of the cycloidal gear and manufacturing errors, are evaluated to verify the correctness of the mathematical models.

Finite element modelling and load share analysis for involute worm gears with localized tooth contact

2001 ◽  
Vol 215 (7) ◽  
pp. 805-816 ◽  
Author(s):  
F Yang ◽  
D Su ◽  
C. R. Gentle
Keyword(s):  
Finite Element ◽  
Load Capacity ◽  
Worm Gear ◽  
Tooth Contact Analysis ◽  
Fe Modelling ◽  
Tooth Contact ◽  
Transmission Errors ◽  
Meshing Stiffness ◽  
Worm Gears ◽  
Gear Drives

A new approach has been developed by the authors to estimate the load share of worm gear drives, and to calculate the instantaneous tooth meshing stiffness and loaded transmission errors. In the approach, the finite element (FE) modelling is based on the modified tooth geometry, which ensures that the worm gear teeth are in localized contact. The geometric modelling method for involute worm gears allows the tooth elastic deformation and tooth root stresses of worm gear drives under different load conditions to be investigated. On the basis of finite element analysis, the instantaneous meshing stiffness and loaded transmission errors are obtained and the load share is predicted. In comparison with existing methods, this approach applies loaded tooth contact analysis and provides more accurate load capacity rating of worm gear drives.

Optimization for the Dynamic Behavior of High Speed Spiral Bevel Gears

2000 ◽  
Author(s):  
Zongde Fang ◽  
Hongbin Yang ◽  
Yanwei Zhou ◽  
Xiaozhong Deng
Keyword(s):  
Dynamic Behavior ◽  
Contact Analysis ◽  
Bevel Gear ◽  
Spiral Bevel Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Local Synthesis ◽  
Wide Range ◽  
Spiral Bevel ◽  
Gear Drives

Abstract A new approach for optimizing the dynamic behavior of spiral bevel gear drives has been developed. The local synthesis, tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) techniques were used to constitute the design process with feedback, by which a contact ratio being near 2.0 or 3.0 would be achieved. An improved dynamic behavior of the spiral bevel gear drives under certain operating load or a wide range of load could be obtained.

Optimal Tooth Surface Modifications in Face-Hobbed Hypoid Gears

2013 ◽  
Vol 572 ◽  
pp. 351-354
Author(s):  
Simon Vilmos
Keyword(s):  
Contact Pressure ◽  
Angular Displacement ◽  
Optimization Procedure ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Hypoid Gears ◽  
Transmission Errors ◽  
Loaded Tooth Contact Analysis

In this study, an optimization methodology is proposed to systematically define head-cutter geometry and machine tool settings to introduce optimal tooth modifications in face-hobbed hypoid gears. The goal of the optimization is to simultaneously minimize tooth contact pressures and angular displacement error of the driven gear, while concurrently confining the loaded contact pattern within the tooth boundaries. The proposed optimization procedure relies heavily on a loaded tooth contact analysis for the prediction of tooth contact pressure distribution and transmission errors. The objective function and the constraints are not available analytically, but they are computable, i.e., they exist numerically through the loaded tooth contact analysis. The core algorithm of the proposed nonlinear programming procedure is based on a direct search method. Effectiveness of this optimization was demonstrated by using a face-hobbed hypoid gear example. Considerable reductions in the maximum tooth contact pressure and in the transmission errors were obtained.

scholarly journals The statistical analysis of the dynamic performance of a gear system considering random manufacturing errors under different levels of machining precision

2019 ◽  
Vol 234 (1) ◽  
pp. 3-18 ◽  
Author(s):  
Fang Guo ◽  
Zongde Fang
Keyword(s):  
Statistical Analysis ◽  
Dynamic Performance ◽  
Reference Value ◽  
Contact Analysis ◽  
Practical Significance ◽  
Tooth Surface ◽  
Machining Accuracy ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Manufacturing Errors

Gear manufacturing error is one of the main sources of vibration and noise in gears; its influence on the dynamic transmission behaviour of gear systems is a research hotspot. In the current study on the effect of the manufacturing errors, the processing methods of the errors are mostly rough or hypothetical, so the analysis results cannot provide high reference value. This paper proposes a distinctive method to analyse the vibration response of helical gears in the presence of random manufacturing errors and modifications. The presented study performs tooth contact analysis (TCA) with the real tooth surface containing the random tooth profile error and the modification and performs loaded tooth contact analysis (LTCA) based on the superposition of the random pitch error and the initial gap between mating teeth obtained by TCA. Furthermore, the dynamic excitations, including time-varying mesh stiffness and meshing impact, are computed using the above-mentioned TCA and LTCA. The processing method for the manufacturing errors in this paper is reasonable and close to the actual situation of gear engagement. Using this proposed method, statistical analysis was carried out under machining accuracy grades 5, 6 and 7 to show the effect of the different distributions of random manufacturing errors on the gear vibration. The analysis results are of practical significance and provide references for the design and vibration control of gear drive systems.

Offset Face Gear Drives: Tooth Geometry and Contact Analysis

1997 ◽  
Vol 119 (1) ◽  
pp. 114-119 ◽  
Author(s):  
Y. Zhang ◽  
Z. Wu
Keyword(s):  
Contact Analysis ◽  
Tooth Surface ◽  
Generation Process ◽  
Surface Geometry ◽  
Face Gear ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Gear Design ◽  
Gear Drives ◽  
Meshing Process

This paper presents a detailed investigation on the manufacturing, tooth geometry and contact characteristics of face gear drives with offset axes. In the paper, the tooth geometry of offset face gears is analytically determined by simulating the conjugate motion between the gear and the cutting tool in the generation process. Design criteria are established for the optimal tooth element proportions of offset face gears that avoid tooth undercutting and pointing. The tooth surface geometry of the gear member of the drive is modified by using a shaper that resembles the pinion in profile but has a few more teeth than the pinion to localize the tooth contact. The contact characteristics of the offset face gears are analyzed by a tooth contact analysis (TCA) program that simulates the meshing process of the gear drive assembled under misalignment. An example of offset face gear design and contact analysis is included in the paper.

Tooth Contact Analysis of Parabolic Gears with New Type of Profile

2013 ◽  
Vol 365-366 ◽  
pp. 294-298 ◽  
Author(s):  
Shu Yan Zhang ◽  
Hui Guo
Keyword(s):  
High Strength ◽  
Contact Analysis ◽  
Tooth Surface ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Transmission Errors ◽  
Bearing Contact ◽  
New Type

The meshing principle of a new kind of parabolic gear is introduced, and the tooth surface equations of parabolic gear are obtained. A tooth contact analysis to simulate meshing and contact is applied. The paper investigates the influence of misalignment on transmission errors and shift of bearing contact. Examples to illustrate the developed approaches are proposed. The research provides the basis for design of new high strength parabolic gears.

Crowned Spur Gears: Methods for Generation and Tooth Contact Analysis—Part I: Basic Concepts, Generation of the Pinion Tooth Surface by a Plane

1988 ◽  
Vol 110 (3) ◽  
pp. 337-342 ◽  
Author(s):  
F. L. Litvin ◽  
J. Zhang ◽  
R. F. Handschuh
Keyword(s):  
Gear Tooth ◽  
Contact Analysis ◽  
Numerical Results ◽  
Degree Of Freedom ◽  
Tooth Surface ◽  
Spur Gears ◽  
Tooth Contact Analysis ◽  
Tooth Contact ◽  
Transmission Errors ◽  
Basic Concepts

A topology of crowned spur pinion tooth surface that reduces the level of transmission errors due to misalignment is proposed. The geometry of the deviated pinion tooth surface and regular gear tooth surface, along with tooth contact analysis is discussed. Generation of the deviated pinion tooth surface by a plane whose motion is controlled by a five-degree-of-freedom system is proposed. Numerical results are included and indicate that transmission errors remain low as the gears are misaligned.

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