A problem of adhesive contact between the running surface wave and a rigid strip is investigated. The mixed boundary-value problem of elastodynamics is reduced to a singular integral equation for a complex combination of stresses and an exact closed-form solution of it has been derived. Analysis of variation of contact area dimensions, stress distribution and rotor velocity on the frequency of excitation displayed significant differences between the results corresponding to conditions of adhesion and slipping in contact area. The origin of these differences is discussed.

Issue Section:
Technical Papers
Topics:
Adhesives, Strips, Surface waves (Fluid), Adhesion, Boundary-value problems, Dimensions, Elastodynamics, Excitation, Integral equations, Rotors, Stress, Stress concentration
1.
Gladwell, G. M. L., 1980, Contact Problems in the Classical Theory of Elasticity, Sijthoff & Noordorf, Alphen aan den Rijn.
2.
Grinchenko, V. T., Ulitko, A. F., and Shul’ga, N. A., 1989, “Electro-elasticity,” Mechanics of Coupled Fields in Elements of Structures, Vol. 5, Kiev, Naukova Dumka, in Russian.
3.
Johnson, K., 1987, Contact Mechanics, Cambridge University Press, Cambridge, MA.
4.
Markushevich, A. I., 1950, Theory of Analytical Functions, Moscow, GITTL, in Russian.
5.
Mikhlin, S. G., 1949, Integral Equations, Moscow, OGIZ, in Russian.
6.
Ueha
S.
,
1989
, “
Present Status of Ultrasonic Motors
,”
Proceedings of IEEE 1989 Ultrasonic Symposium
, Vol.
2
, pp.
749
–
753
.
7.
Zharii
O. Yu.
,
1993
, “
Modeling of a Mode Conversion Ultrasonic Motor in the Regime of Slip
,”
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control
, Vol.
40
, pp.
411
–
417
.
8.
Zharii
O. Yu.
, and
Ulitko
A. F.
,
1995
, “
Smooth Contact Between the Running Rayleigh Wave and a Rigid Strip
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
62
, pp.
362
–
367
.
This content is only available via PDF.
Copyright © 1995
 by The American Society of Mechanical Engineers
You do not currently have access to this content.