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Table of Contents
Intro
Contents
1 The Significance and Purpose of Study on the Zero-Backlash High Precision Roller Enveloping Reducer
1.1 Preamble
1.2 The Development of Worm Drive
Bibliography
2 Theory of Zero-Backlash High Precision Roller Enveloping Reducer
2.1 Mathematical Foundation
2.2 Meshing Theory for the Zero-Backlash High Precision Roller Enveloping Reducer
2.3 The Contact Curve and the Tooth Profile of the Worm
2.4 The Undercutting Function and Undercutting Curve
2.5 The Induced Normal Curvature
2.6 The Lubrication Angle
2.7 The Autorotation Angle
2.8 The Entrainment Velocity
2.9 The Helix Angle of the Worm
2.10 The Root-Cutting Curve of Worm Tooth Surface
2.11 Conclusions
Bibliography
3 Meshing Performance Analysis for Different Roller and Different Enveloping Positions
3.1 Meshing Performance Analysis for Different Roller
3.1.1 Introduction
3.1.2 Contact Curves
3.1.3 Undercutting Analysis
3.1.4 Induced Normal Curvature
3.1.5 The Lubrication Angle
3.1.6 The Autorotation Angle
3.1.7 Conclusion
3.2 Meshing Performance Analysis for Different Enveloping Positions
3.2.1 Introduction
3.2.2 Building Relationships Among All Coordinate Systems by Coordinate Transformation
3.2.3 Meshing Performance Analysis and Discussions
3.2.4 Conclusions
Bibliography
4 Modeling Method and Simulation Analysis of the Zero-Backlash High Precision Roller Enveloping Reducer
4.1 Modeling Method of Worm and Worm Gear
4.1.1 Modeling Method
4.1.2 Conclusion
4.2 The Structural Simulation Analysis of Worm Gear and Worm
4.2.1 Cylinder Roller Analysis
4.2.2 Conical Roller Analysis
4.2.3 Spherical Roller Analysis
4.2.4 Conclusion
4.3 Multi-body Dynamics Simulation Analysis of Worm Gear and Worm
4.3.1 Simulated Analysis
4.3.2 Conclusion
4.4 Fluid Lubrication Simulation Analysis of Worm Gear and Worm
4.4.1 Introduction
4.4.2 MPS Method
4.4.3 CFD Modeling and Simulation
4.4.4 Numerical Simulation Results and Discussion
4.4.5 Conclusion
4.5 Influence of Roller Shape on the Lubrication Performance of Reducer
4.5.1 Introduction
4.5.2 Lubrication Angle
4.5.3 Simulation Results
4.5.4 Experimental Results and Comparison
4.5.5 Conclusion
Bibliography
5 Optimal Design
5.1 Optimal for Lubrication Characteristic
5.1.1 Introduction
5.1.2 Preliminary Computational and Experimental Studies
5.1.3 Description of the Taguchi Method
5.1.4 Optimal Design
5.1.5 ANOVA Results and Discussion
5.1.6 Conclusion
5.2 Multi-parameters Optimal Design Method and Application
5.2.1 Introduction
5.2.2 Mathematical Model of the End Face Engagement Worm Drive
5.2.3 Analysis of Experimental Data
5.2.4 Results and Discussion
5.2.5 Conclusions
Bibliography
6 Manufacturing and Experiment
6.1 Theoretical Analysis and Experiment
6.1.1 Introduction.
Contents
1 The Significance and Purpose of Study on the Zero-Backlash High Precision Roller Enveloping Reducer
1.1 Preamble
1.2 The Development of Worm Drive
Bibliography
2 Theory of Zero-Backlash High Precision Roller Enveloping Reducer
2.1 Mathematical Foundation
2.2 Meshing Theory for the Zero-Backlash High Precision Roller Enveloping Reducer
2.3 The Contact Curve and the Tooth Profile of the Worm
2.4 The Undercutting Function and Undercutting Curve
2.5 The Induced Normal Curvature
2.6 The Lubrication Angle
2.7 The Autorotation Angle
2.8 The Entrainment Velocity
2.9 The Helix Angle of the Worm
2.10 The Root-Cutting Curve of Worm Tooth Surface
2.11 Conclusions
Bibliography
3 Meshing Performance Analysis for Different Roller and Different Enveloping Positions
3.1 Meshing Performance Analysis for Different Roller
3.1.1 Introduction
3.1.2 Contact Curves
3.1.3 Undercutting Analysis
3.1.4 Induced Normal Curvature
3.1.5 The Lubrication Angle
3.1.6 The Autorotation Angle
3.1.7 Conclusion
3.2 Meshing Performance Analysis for Different Enveloping Positions
3.2.1 Introduction
3.2.2 Building Relationships Among All Coordinate Systems by Coordinate Transformation
3.2.3 Meshing Performance Analysis and Discussions
3.2.4 Conclusions
Bibliography
4 Modeling Method and Simulation Analysis of the Zero-Backlash High Precision Roller Enveloping Reducer
4.1 Modeling Method of Worm and Worm Gear
4.1.1 Modeling Method
4.1.2 Conclusion
4.2 The Structural Simulation Analysis of Worm Gear and Worm
4.2.1 Cylinder Roller Analysis
4.2.2 Conical Roller Analysis
4.2.3 Spherical Roller Analysis
4.2.4 Conclusion
4.3 Multi-body Dynamics Simulation Analysis of Worm Gear and Worm
4.3.1 Simulated Analysis
4.3.2 Conclusion
4.4 Fluid Lubrication Simulation Analysis of Worm Gear and Worm
4.4.1 Introduction
4.4.2 MPS Method
4.4.3 CFD Modeling and Simulation
4.4.4 Numerical Simulation Results and Discussion
4.4.5 Conclusion
4.5 Influence of Roller Shape on the Lubrication Performance of Reducer
4.5.1 Introduction
4.5.2 Lubrication Angle
4.5.3 Simulation Results
4.5.4 Experimental Results and Comparison
4.5.5 Conclusion
Bibliography
5 Optimal Design
5.1 Optimal for Lubrication Characteristic
5.1.1 Introduction
5.1.2 Preliminary Computational and Experimental Studies
5.1.3 Description of the Taguchi Method
5.1.4 Optimal Design
5.1.5 ANOVA Results and Discussion
5.1.6 Conclusion
5.2 Multi-parameters Optimal Design Method and Application
5.2.1 Introduction
5.2.2 Mathematical Model of the End Face Engagement Worm Drive
5.2.3 Analysis of Experimental Data
5.2.4 Results and Discussion
5.2.5 Conclusions
Bibliography
6 Manufacturing and Experiment
6.1 Theoretical Analysis and Experiment
6.1.1 Introduction.