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TECHNICAL PAPERS

Optimal Profile Design for the Resonator Beam of an Ultrasonic Motor via Finite Element Modeling and Taguchi Methodology

[+] Author and Article Information
Paul C.-P. Chao, Jeng-Sheng Huang, Chi-Wei Chiu

Department of Mechanical Engineering, Chung Yuan Christian University, Chung-Li, Taiwan 32023, R. O. C.

J. Vib. Acoust 126(4), 465-475 (Dec 21, 2004) (11 pages) doi:10.1115/1.1804993 History: Received September 01, 2002; Revised April 01, 2004; Online December 21, 2004
Copyright © 2004 by ASME
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References

Tiersten,  H. F., and Mindlin,  R. D., 1962, “Forced Vibrations of Piezoelectric Crystal Plates,” Q. Appl. Math., 20, pp. 107.
Zelenka, J., 1986, Piezoelectric Resonators and Their Applications, Elsevier, New York.
Auld, B. A., 1990, Acoustic Fields and Waves in Solids, R. E. Krieger, FL.
Fleischer,  M., Stein,  D., and Meixner,  H., 1989a, “New Type of Piezoelectric Ultrasonic Motor,” IEEE Trans. Ultrasonics, Ferroelectrics, Frequency Control, 36(6), pp. 614–619.
Fleischer,  M., Stein,  D., and Meixner,  H., 1989b, “Ultrasonic Piezomotor With Longitudinally Oscillating Amplitude-Transforming Resonator,” IEEE Trans. Ultrasonics, Ferroelectrics, Frequency Control, 36(7), pp. 607–613.
Fung,  R. F., Yao,  C. M., and Tseng,  C. R., 1999, “Dynamic Analysis of a Bimodal Ultrasonic Motor With Initially Stressed Force Onto the Rotor,” Sens. Actuators, 72, pp. 229–233.
Ha,  S. K., Keilers,  C., and Chang,  F. K., 1992, “Finite Element Analysis of Composite Structures Containing Distributed Piezoceramic Sensors and Actuators,” AIAA J., 30, pp. 772–780.
Reddy, J. N., 1993, An Introduction to the Finite Element Method, Second Edition, McGraw-Hill, New York, Chapt. 14.
Guo,  N., and Cawley,  P., 1992, “The Finite Element Analysis of the Vibration Characteristics of Piezoelectric Discs,” J. Sound Vib., 159(1), pp. 115–138.
Phillip, J. R., 1988, Taguchi Techniques for Quality Engineering, McGraw-Hill, New York.
S. Taguchi, 1993, “Engineered Systems and Basic Functions,” Taguchi Symposium, California.
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Shikin, E. V., and Plis, A. I., 1995, Handbook on Splines for the User, CRC Press, Boca Raton, FL.
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Figures

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Schematic diagram of the piezoelectric resonator beam
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Symmetric beam profile generation via specifying vertical locations of two intermediate intercept points (i.e., control factors D and E)
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Spline profiles of resonator beam generated by various combinations of two intermediate profile points
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(a) Pi plot of relative significant effect for the evaluation characteristic of output power (b) Pi plot of relative significant effect for the evaluation characteristic of normal force
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(a) Variance line plot of each design factor with respect to the evaluation characteristic of power output: (b) variance line plot of each design factor with respect to the evaluation characteristic of normal force, (c) Line plots of factors D and E with respect to power output, and (d) Line plots of factors D and E with respect to contact normal force
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Time responses of the resonator-rotor system for Case 14: (a) axial displacement of the resonator tip uNe+1, (b) transverse displacement of the resonator tip vNe+1, (c) magnitude of contact normal force |FN|, (d) magnitude of contact tangential force |FT|, (e) rotational velocity of the rotor θ̇ and (f ) output power of the rotor P
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Time responses of the resonator for Case 9: (a) axial displacement of the resonator tip uNe+1 (b) transverse displacement of the resonator tip vNe+1, (c) magnitude of contact normal force |FN|, (d) magnitude of contact tangential force |FT|, (e) rotational velocity of the rotor θ̇, and (f ) output power of the rotor P
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Beam element coordinate systems

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