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Timing Belt Theory

Publisher: Gates Mectrol, Inc.
Overview:
A description of geometric, loading, and deflection relationships of reinforced urethane timing belts is presented in this paper. Methods of measuring belt and pulley pitch and belt length and center distance are explained using illustrations and tables, and the various forces acting in timing belt drives including torque, effective tension, tight, and slack side tension are reviewed. The paper includes illustrations depicting influence of rotary positioning on power transmission and different linear positioner configurations. Forces acting in inclined conveyor and vacuum conveyor configurations are described with the help of diagrams. Effects of shaft forces and belt pre-tension are analyzed, and ways of resolving the tension forces are examined. Positioning error of timing belt drives due to belt elasticity is also covered in this paper.
TABLE OF CONTENTS
1.Introduction2
2.Geometric Relationships2
2.1.Belt and Pulley Pitch2
2.2.Belt Length and Center Distance4
3.Forces Acting in Timing Belt Drives5
3.1.Torque, Effective Tension, Tight and Slack Side Tension5
3.2.Shaft Forces10
3.3.Belt Pre-Tension11
3.4.Resolving the Tension Forces12
3.5.Tooth Loading14
5.Positioning Error of Timing Belt Drives Due to Belt Elasticity15
6.Figures
6.1.Figure 12
6.1.1.Figure 1a. Belt and Pulley Mesh for Inch Series and Metric T-series, HTD and STD Series Geometry2
6.1.2.Figure 1b. Belt and Pulley Mesh for AT Series Geometry2
6.2.Figure 2. Belt Drive with Unequal Pulley Diameters4
6.3.Figure 3. Power Transmission and Rotary Positioning5
6.4.Figure 4. Linear Positioner - Configuration I6
6.5.Figure 5. Linear Positioner - Configuration II.7
6.6.Figure 6. Inclined Conveyor with Material Accumulation8
6.7.Figure 7. Vacuum Conveyor9
6.8.Figure 9. Power Transmission Drive with the Constant Slack Side Tension12
6.9.Figure 10. Vacuum Conveyor with the Constant Slack Side Tension12
6.10.Figure 11. Tooth Loading14
6.11.Figure 12. Position Error - Linear Positioner under Static Loading Condition15
6.12.Figure 13. Following Error - Linear Positioner under Dynamic Loading Condition16
7.Graphs
7.1.Graph 1. Correction for the Number of Teeth in Mesh17
8.Tables
8.1.Table 13
8.2.Table 24
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