Performance-Based Gear Metrology (PDF)

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 accurate computation and diagnosis
of the resultant transmission-error vibration excitation.
How to efficiently measure such working-surface
deviations, compute from these measurements the resultant
transmission-error vibration excitation, and diagnose the
manufacturing source of the deviations, is the subject of this
book.

Use of the technology in this book will allow quality spot
checks to be made on gears being manufactured in a production run,
to avoid undesirable vibration or noise excitation by the
manufactured gears. Furthermore, those working in academia
and industry needing a full mathematical understanding of the
relationships between tooth working-surface deviations and the
vibration excitations caused by these deviations will find the book
indispensable for applications pertaining to both gear-quality and
gear-health monitoring.

Key features:

* Provides a very efficient method for measuring parallel-axis
helical or spur gears in sufficient detail to enable accurate
computation of transmission-error contributions from
working-surface deviations, and algorithms required to carry out
these computations, including examples

* Provides algorithms for computing the working-surface
deviations causing any user-identified tone, such as 'ghost
tones,' or 'sidebands' of the tooth-meshing
harmonics, enabling diagnosis of their manufacturing causes,
including examples

* Provides explanations of all harmonics observed in gear-caused
vibration and noise spectra.

* Enables generation of three-dimensional displays and detailed
numerical descriptions of all measured and computed working-surface
deviations, including examples