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Part_VII_outline_gears

# Part_VII_outline_gears - Part VII Gear Systems Analysis...

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Part VII: Gear Systems: Analysis This section will review standard gear systems and will provide the basic tools to perform analysis on these systems. The areas covered in this section are: 1) Gears 101: The geometric details about standard gears (involute) 2) Salient features of involute gears 3) Gear-tooth geometry equations 4) Gear train systems: fixed-axis and Planetary 5) Types of Gears ME 3610 Course Notes - Outline Part VII -1

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Gears 101: Details about the involute gear profile: Gears were created to transmit constant-velocity rotating motion between shafts relying on kinematic contact (not friction) to transmit forces. Recall that in order to have constant velocity, the line of action and line of centers must intersect at a constant location: ME 3610 Course Notes - Outline Part VII -2
Therefore, the point of contact between the two gears must lie along this line of action. Any number of arbitrary, conjugate shapes could be defined to complete this task, however two profiles of significance work: involute and cycloidal profiles. The involute profile is the standard for gear teeth, and is unique in that the involute is conjugate to itself (at any point along its profile) to maintain a constant intersection of the line of action and line of centers. The involute is easy to manufacture and does not depend on distance between gear centers. Based on this involute geometry of gear teeth, the geometry of a gear can be standardized and named, as in the following figures. The nature of tooth contact is described as well on these figures. ME 3610 Course Notes - Outline Part VII -3

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ME 3610 Course Notes - Outline Part VII -4
ME 3610 Course Notes - Outline Part VII -5

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Based on this, the velocity ratio between gears is given as: Conditions of Interchangeability (For Standard Gears) 1. 2. 3. ME 3610 Course Notes - Outline Part VII -6
Salient Features of Involute Gears: 1. .. 2. 3. 4. 5. 6. 7. 8. 9. 10. Salient: (sa' li-ent) adj. Standing out from the rest; noticeable; conspicuous; prominent. (Webster's, College Ed.) ME 3610 Course Notes - Outline Part VII -7

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ME 3610 Course Notes - Outline Part VII -8
Details of Involute Gears 1. Equations not found in Norton: (Refer to Fig. 1) Base pitch (distance between one tooth set measured along base circle): (1) Length of action: (2) Contact ratio (average number of teeth in contact): (3) ME 3610 Course Notes - Outline Part VII -9

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Part_VII_outline_gears - Part VII Gear Systems Analysis...

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