Figure 1.
Structure of the USM (1-thin ring, 2-rotor mechanism, 3-output shaft, 4-bearing, 5-cylinder, 6-electrode, 7-screw, 8-insulation covering, 9-encloser, 10-longitudinal PZT, 11-bending PZT, 12-cantilever, 13-end cap).
(a) Section view of proposed USM, (b) Three-dimensional model of stator.
Figure 2.
Vibration mode shapes of stator in one vibration cycle.
Figure 3.
Vibration mode shape of cylinder.
Table 1.
Structural parameters of cylinder.
Figure 4.
Section view and vibration mode shapes of transducer.
(a) Section view of transducer, (b) Longitudinal vibration, (c) Bending vibration.
Table 2.
Initial structural parameters of transducer (mm).
Figure 5.
Vibration mode shapes of stator.
(a) Standing wave excited by the longitudinal vibration of transducer, (b) Standing wave excited by the bending vibration of transducer.
Figure 6.
Motion trajectories and vibration amplitudes of nodes on the teeth.
(a) Motion trajectories of nodes on evenly distributed teeth, and the angles in the legend are the angle positions of teeth relative to the central plane of transducer, (b) Motion trajectories of nodes on the same bus bar, and the lengths in the legend are the distances relative to the endpoint of bus bar, (c) The displacement of node in axial direction.