TY - JOUR
T1 - Effect of the Hydrodynamic Bearing on Rotor/Stator Contact in a Ring-Type Ultrasonic Motor
AU - Maeno, Takashi
AU - Bogy, David B.
N1 - Funding Information:
Manuscript received January 14, 1992; revised May 11, 1992; accepted May 26, 1992. This work was supported by the Computer Mechanics Laboratory and by Canon Inc. T. Maeno was with the Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley, CA 91720, and is now with Canon, Inc., 3-30-2, Shimomaruko, Ohta-ku, Tokyo 146, Japan. D. B. Bogy is with the Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley CA 94720. IEEE Log Number 9203443.
PY - 1992/11
Y1 - 1992/11
N2 - A hybrid numerical analysis that includes the hydrodynamic bearing effect and elastic contact in a ring-type ultrasonic motor is presented. The two-dimensional time-dependent compressible Reynolds equation is solved numerically by a second order time accurate, noniterative, factored implicit finite difference algorithm. The rotor deformation is described by a one dimensional Green's function obtained by calculating the actual rotor deformation due to a normal point load using a finite element elastic analysis code. The contact problem is solved by an iteration method so that the contact condition and the hydrodynamic bearing condition are satisfied simultaneously. The results show that the hydrodynamic bearing effect, especially the squeeze effect, is significant for ultrasonic frequency contact of the rotor and stator. Surface roughness, contact area, and normal vibrating speed of the stator are important parameters in the hydrodynamic bearing. The disagreement between the friction coefficient needed in the numerical analysis and the experimentally measured one in the previous study, which did not include the air bearing, is settled as well.
AB - A hybrid numerical analysis that includes the hydrodynamic bearing effect and elastic contact in a ring-type ultrasonic motor is presented. The two-dimensional time-dependent compressible Reynolds equation is solved numerically by a second order time accurate, noniterative, factored implicit finite difference algorithm. The rotor deformation is described by a one dimensional Green's function obtained by calculating the actual rotor deformation due to a normal point load using a finite element elastic analysis code. The contact problem is solved by an iteration method so that the contact condition and the hydrodynamic bearing condition are satisfied simultaneously. The results show that the hydrodynamic bearing effect, especially the squeeze effect, is significant for ultrasonic frequency contact of the rotor and stator. Surface roughness, contact area, and normal vibrating speed of the stator are important parameters in the hydrodynamic bearing. The disagreement between the friction coefficient needed in the numerical analysis and the experimentally measured one in the previous study, which did not include the air bearing, is settled as well.
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U2 - 10.1109/58.165550
DO - 10.1109/58.165550
M3 - Article
AN - SCOPUS:0026942870
SN - 0885-3010
VL - 39
SP - 675
EP - 682
JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
IS - 6
ER -