Performance-based gear metrology : kinematic-transmission-error computation and diagnosis / William D. Mark.

Format:

Book

Author/Creator:

Mark, William D.

Language:

English

Subjects (All):

Motor vehicles--Transmission devices.

Motor vehicles.

Motor vehicles--Vibration--Measurement.

Gearing--Vibration--Measurement.

Gearing.

Gearing--Vibration--Mathematical models.

Physical Description:

1 online resource (290 p.)

Edition:

1st ed.

Place of Publication:

Hoboken, N.J. : John Wiley & Sons, c2013.

Summary:

A mathematically rigorous explanation of how manufacturing deviations and damage on the working surfaces of gear teeth cause transmission-error contributions to vibration excitations Some gear-tooth working-surface manufacturing deviations of significant amplitude cause negligible vibration excitation and noise, yet others of minuscule amplitude are a source of significant vibration excitation and noise. Presently available computer-numerically-controlled dedicated gear metrology equipment can measure such error patterns on a gear in a few hours in sufficient detail to enable

Contents:

Kinematic-Transmission-Error Contributions1.6 Application to Gear-Health Monitoring; 1.7 Verification of Kinematic Transmission Error as a Source of Vibration Excitation and Noise; 1.8 Gear Measurement Capabilities; Contributions of Linear-Axis Errors; Contributions of Rotary-Axis Errors; Contributions of Probe Errors; Effects of Statistical Averaging; Summary of Required Measurement Capabilities; Role of Working-Surface-Deviation Representation Method; How Small is 0.1 μm (4 μin.)?; References; Chapter 2 Parallel-Axis Involute Gears; 2.1 The Involute Tooth Profile

2.2 Parametric Description of Involute Helical Gear Teeth2.3 Multiple Tooth Contact of Involute Helical Gears; 2.4 Contact Ratios; References; Chapter 3 Mathematical Representation and Measurement of Working-Surface-Deviations; 3.1 Transmission Error of Meshing-Gear-Pairs; Definition of Transmission Error; Additive Property of Transmission-Error Contributions; 3.2 Tooth-Working-Surface Coordinate System; Definition of Radial Coordinate; 3.3 Gear-Measurement Capabilities; 3.4 Common Types of Working-Surface Errors; 3.5 Mathematical Representation of Working-Surface-Deviations

Legendre PolynomialsNormalized Legendre Polynomials; Representation Using Two-Dimensional Normalized Legendre Polynomials; Interpretation of Expansion Coefficients; Interpretation of Expansion Terms as Elementary Deviations or Errors; Accumulated Tooth-Spacing (Index) Errors; Rectangular Array of Expansion Coefficients; 3.6 Working-Surface Representation Obtained from Line-Scanning Tooth Measurements; Choice of Lead Measurements as Primary; Choice of Profile Measurements as Primary; Contributions from Secondary Measurement Sets

3.7 Example of Working-Surface Generations Obtained from Line-Scanning MeasurementsIndividual Tooth Deviations; Average Deviation Surfaces; Appendix 3.A. Method for Estimating Required Number of Primary Line-Scanning Measurements Based on Surface-Roughness Criteria; RMS Criterion Method; Appendix 3.B. Method for Estimating Required Number of Primary Line-Scanning Measurements for Case of Known Ghost-Tone Rotational-Harmonic Number; Minimum Number of Line-Scanning Measurements Required for Accurate Representation of Undulation Errors; Example Calculation; References

Chapter 4 Rotational-Harmonic Analysis of Working-Surface Deviations

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

Description based on online resource; title from title page (ebrary, viewed April 17, 2013).

ISBN:

1-118-35790-6

1-299-18719-6

1-118-35788-4

OCLC:

827207933