Combined finite element-normal mode expansion methods in electroelasticity and their application to piezoactive motors

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 18, 1997, Pages 3385-3403

  Le Letty, R ^a   Claeyssen, F ^a   Lhermet, N ^a   Hamonic, B ^b   Decarpigny, J N ^b   Bossut, R ^b  

^a ALTAIR ENGINEERING   (United States)

^b Institut Superieur de l'Electronique et du Numerique   (France)

Author keywords

Active material; Contact mechanics; FE method; Normal mode expansion; Ultrasonic motor

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; PIEZOELECTRIC TRANSDUCERS; ULTRASONIC EQUIPMENT;

CONTACT MECHANICS; ELECTROELASTICITY; NORMAL MODE EXPANSION METHOD; PIEZOACTIVE MOTORS; ULTRASONIC MOTORS;

ELECTROMECHANICAL DEVICES;

EID: 0031236905     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970930)40:18<3385::AID-NME218>3.0.CO;2-B     Document Type: Article

References (22)

1. J.-N. Decarpigny, B. F. Hamonic and O. B. Wilson, 'The design of low frequency underwater acoustic projectors: present status and future trends', IEEE J. Oceanic Eng., 16, 107-122 (1991).
2. E. Vassent, G. Meunier, A. Foggia and J.-C. Sabonnadière, 'Simulation of induction machine operation using a step by step finite element method', J. Appl. Phys., 67, 5809-5812 (1990).
3. D. L. Rice and E. C. Ting, 'Large displacement transient analysis of flexible structures', Int. J. Numer. Meth. Engng., 36, 1541-1562 (1993).
4. K. J. Bathe, Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1982.
5. O. Y. Zharii, 'Normal mode expansions in dynamic electroelasticity and their application to electromechanical energy conversion', J. Acoust. Soc. Am., 92, 57-68 (1992).
6. M. D. Bryant, 'Non-linear forced oscillation of a beam coupled to an actuator via hertzian contact', J. Sound. Vib., 99, 403-414 (1985).
7. H. Allik and T. J. R. Hughes, 'Finite element method for piezoelectric vibration', Int. J. Numer. Meth. Engng., 2, 151-157 (1971).
8. E. P. Eer Nisse, 'Variational method for electroelastic vibration analysis', IEEE Trans. Sonics Ultrason., 14, 153-160 (1967).
9. D. Boucher, M. Lagier and C. Maerfeld, 'Computation of the vibrational modes for piezoelectric array transducers using a mixed finite element-perturbation method', IEEE Trans. Sonics Ultrason., 28, 318-330 (1981).
10. M. P. Johnson, 'Equivalent modal impedance matrix of multiple degree of freedom electroelastic structures', J. Acoust. Soc. Am., 88, 1-6 (1990).
11. J.-N. Decarpigny, B. F. Hamonic and J.-C. Debus, 'Computation of the equivalent modal impedance matrix of a multiple degree of freedom electroelastic structure using antiresonance modes', J. Acoust. Soc. Am., 90, 2891-2894 (1991).
12. H. Hirata and S. Ueha, 'Characteristics estimation of a traveling wave ultrasonic motor', IEEE Trans. Ultrason. Ferr. Freq. Control., 40, 402-406 (1993).
13. T. Maeno, T. Tsukimoto and A. Miyake, 'Finite-element analysis of the rotor/stator contact in a ring-type ultrasonic motor', IEEE Trans. Ultrason Ferr. Freq. Control, 39, 668-674 (1992).
14. B. Mevel and J.-L. Guyader, 'Periodic, quasi-periodic and chaotic sources of vibration in ball bearings', Internoise Proc., Goteborg, 1990, pp. 1403-1408.
15. K. L. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, 1987.
16. T. J. R. Hughes and W. K. Liu, 'Implicit-explicit finite elements in transient analysis: Implementation and numerical examples', J. Appl. Mech. ASME, 45, 371-374 (1978).
17. M. L. Ayari and V. E. Saouma, 'Static and dynamic contact/impact problems using fictitious forces', Int. J. Numer. Meth. Engng., 32, 623-643 (1991).
18. N. Maw, J. R. Barber and J. N. Fawcett, 'The role of elastic tangential compliance in oblique impact', J. Lubr. Tech. ASME, 103, 74-80 (1981).
19. R. Le Letty, F. Claeyssen, P. Gonnard and B. Hamonic, 'Combined finite element-normal mode expansion methods for ultrasonic motor modeling', IEEE Ultrasonic Symp. Proc., Cannes (France), 1994, pp. 531-534.
20. R. Matsuda and R. Kaneko, 'Micro-step XY-stage using piezoelectric tube actuator', IEEE Micro ElectroMechanical Systems Proc., Nara (Japan), 1991, pp. 137-142.
21. F. Claeyssen, R. Le Letty, L. Chouteau, N. Lhermet, L. Petit, R. Briot and P. Gonnard, 'A new multi-mode piezoelectric motor', Actuator 96 Proc., Bremen, 1996, pp. 152-155.
22. Y. Tomikawa, T. Nishitsuka, T. Ogasawara and T. Takano, 'A paper or card forwarding device using a flat-type ultrasonic motor', Sensors Mater., 1, 359-379 (1989).