Research Papers

The Contact Problem in Ultrasonic Traveling-Wave Motors

[+] Author and Article Information
Thomas Sattel1

Mechatronics Group, Department of Mechanical Engineering, Ilmenau University of Technology, Max-Planck-Ring 12, Building F, 98684 Ilmenau, Germanythomas.sattel@tu-ilmenau.de

Peter Hagedorn, Joachim Schmidt

Dynamics and Vibrations Group, Department of Mechanical Engineering, Darmstadt University of Technology, 64289 Darmstadt, Germany


Corresponding author.

J. Appl. Mech 77(3), 031014 (Feb 23, 2010) (11 pages) doi:10.1115/1.4000380 History: Received January 17, 2004; Revised July 24, 2009; Published February 23, 2010; Online February 23, 2010

In this paper the contact mechanism between stator and rotor will be considered in detail, which plays a key role in ultrasonic motors. A planar contact model for the stator-rotor interaction in traveling-wave type ultrasonic motors is derived, including rotor flexibility and differenciating between stick and slip regions in the contact zones. The model analysis shows that depending on the motor’s operating conditions, complicated contact behavior may occur with several stick-slip subzones in each contact zone. The typical nonlinear resonance observed in ultrasonic motors can be explained with the present analysis. Both the stiffness of the contact layer and of the rotor may drastically influence the speed-torque characteristics. The results will contribute to a better understanding of the contact mechanics in ultrasonic motors.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

Shinsei USR60 ultrasonic traveling-wave motor

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Figure 2

Planar stator-rotor contact model

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Figure 3

Deformed configuration and reference frames

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Figure 4

Contact layer model

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Figure 11

Tangential contact force distribution for a particular speed-force characteristic

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Figure 12

Speed-force characteristics for various stator vibration amplitudes, w̃̂s

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Figure 13

Speed-force characteristics for various axial pressures p¯

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Figure 14

Speed-force characteristics for various contact layer heights

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Figure 15

Speed-force characteristics for various rotor heights

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Figure 5

Nonlinear resonance curve with partial stator-rotor contact (0<α(ŵs)<1)

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Figure 6

Contact fraction α versus stator vibration amplitude w̃̂s for different viscous-damping coefficients dz/dz0 and dz0 from Table 1

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Figure 7

Rotor deformation at various rotor heights; ○ contact boundaries

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Figure 8

Typical tangential contact force distribution at v¯r=−0.8, no-load speed: v¯r≈−1. Thick line: F¯T.

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Figure 9

Typical velocities corresponding to Fig. 8

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Figure 10

Tangential contact force distribution for the variation in the tangential contact layer stiffness kx; kx0 from Table 1



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