Meccanica (2012) 47:51–61
DOI 10.1007/s11012-010-9415-8
Experimental contact pattern analysis for a gear-rack
system
Massimiliano Pau · Bruno Leban · Antonio Baldi ·
Francesco Ginesu
Received: 29 July 2010 / Accepted: 27 December 2010 / Published online: 12 January 2011
© Springer Science+Business Media B.V. 2011
Abstract Gears perform their main task, namely load
transmission, by means of very small contact areas
originated by tooth interaction and thus, the analysis of
phenomena occurring at the interface between mating
teeth represents a critical issue in ensuring the optimal
functioning of such devices. Nevertheless, while liter-
ature proposes a huge amount of numerical tooth con-
tact analyses (TCA), a lack of experimental validation
of such approaches is to be noted, since it is extremely
difficult to inspect a contact interface which is, by its
own nature, closed towards the outside world. One of
the most promising techniques employed in investigat-
ing contact in metallic interfaces is based on the use of
high frequency ultrasonic waves; their reflection from
the interface (which is known to be related to contact
conditions) can be graphically processed to build maps
from which it is possible to assess geometrical features
of the nominal contact area and, after a suitable cali-
bration procedure, contact pressure distribution.
This study proposes the application of the ultra-
sonic method to investigate the contact of a tooth be-
longing to a spur gear with a plane, thus reproduc-
ing the case of a gear-rack system. Experimental tests
were carried out under different conditions, including
regular contacts, misalignments and excessive wavi-
ness of the teeth; in all cases analyzed, this tech-
M. Pau ( ) · B. Leban · A. Baldi · F. Ginesu
Department of Mechanical Engineering, University of
Cagliari, Piazza d’Armi, 09123 Cagliari, Italy
e-mail: pau@dimeca.unica.it
nique exhibited interesting capabilities in faithfully re-
producing the contact features, thus allowing us to
state that it may represent a useful tool in arriving at
a deeper insight into contact problems in gears and,
above all, in effectively validating numerical TCA and
wear models.
Keywords Spur gears · Experimental · Ultrasonic
analysis · Tooth contact analysis · Contact area ·
Contact pressure
Notation
TCA Tooth Contact Analysis
NDT Non-Destructive Testing
RCA Real Contact Area
Z Acoustic impedance of a medium
R Reflection coefficient of the ultrasound wave
FE Finite Element
1 Introduction and purposes of the study
Although gears represent one of the most widespread
machine components, even after more than a cen-
tury of investigations their design and performance
analyses are still of primary importance in addressing
the ever-increasing demand for load-carrying capacity,
speed and life-cycle duration.
One of the most critical issues in their opera-
tion involves the way in which stresses are transmit-
ted through the contact region between mating teeth.