Top

Published in:

2019 | OriginalPaper | Chapter

2. Piezoelectric Shell Vibrations

Author : Hornsen (HS) Tzou

Published in: Piezoelectric Shells

Publisher: Springer Netherlands

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Active piezoelectric structures capable of self-adaptation (Tzou & Anderson, 1992) and high-precision manipulations (Tzou & Fukuda, 1992).

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

previous chapter Introduction

next chapter Common Piezoelectric Continua and Active Piezoelectric Structures

Adelman, N. T. and Stavsky, Y., 1975a, “Vibrations of Radially Polarized Composite Piezoelectric Cylinders and Disks,” J. Sound and Vibration, 37-44, 1975.

Adelman, N. T. and Stavsky, Y., 1975b, “Axisymmetric Vibrations of Radially Polarized Piezoelectric Ceramic Cylinders,” J. Sound and Vibration, 38(2), 245-254, 1975.CrossRef

Bleustain, J. L., 1969, “Some Simple Modes of Wave Propagation in an Infinite Piezoelectric Plate,” J. Acoust. Soc. Am. 45, 00.614-620, 1969.

Cady, W. G., 1946, Piezoelectricity, McGraw?Hill, New York, 1946.

Chau, L. K., 1986, “The Theory of Piezoelectric Shells,” PMM U.S.S.R., Vol. 50, No. 1, 98-105, 1986.

Dökmeci, M. C., 1978, “Theory of Vibrations of Coated, Thermopiezoelectric Laminae,” J. Math. Phys., Vol. 19, No. 1, January 1978.CrossRef

Dökmeci, M. C., 1980, “Vibrations of Piezoelectric Crystals,” J. Eng. Soc. Vol. 18, 431-448, 1980.CrossRef

Drumheller, D. S. and Kalnins, A., 1970, “Dynamic Shell Theroy for Ferroelectric Ceramics,” J. Acoust. Soc. Am. 47, 1343, 1970.

Eer Nisse, E. P., 1966, “Coupled?Mode Approach to Elastic Vibration Analysis,” J. Acoust. Soc. Am. 40, pp.1045-1055, 1966.

Haskins, J. F. and Walsh, 1957, “Vibration of Ferroelectric Cylindrical Shells with Transverse Isotropy,” J. L., J. Acoust. Soc. Am. 29, 729-734, 1957.

Holland, R. and Eer Nisse, E. P., 1969, Design of Resonant Piezoelectric Devices, M.I.T. Press, Cambridge, Massachusetts, 1969.

Holland, R, “Resonant Properties of Piezoelectric Ceramic Rectangular Parallelepipeds,” J. Acoust. Soc. Am. 43, pp.988-997, 1968.CrossRef

Kagawa, Y. and Yamabuchi, T., 1976, “A Finite Element Appraoch to Electromechanical Problems with an Application to Energy?Trapped and Suface?Wave Divices,” IEEE Trans. Sonics Ultrason., SU-23, pp.263-272, 1976.

Keuning, D. H., 1972, “Exact Resonant Frequencies for the Thickness?Twist Trapped Energy Mode in a Piezoceramic Plate,” J. Eng. Math. 6, pp.143-154, 1972.CrossRef

Mason, W. P., Piezoelectric Crystals and Their Applications to Ultrasonics, Van Nostrand, New York, 1950.

Mindlin, R. D., 1955, An Introduction to the Mathematical Theory of Vibrations of Elastic Plates, U.S. Army Signal Corps Engineering Laboratories, Fort Monmouth, New Jersey.

Paul, H. S., 1968, “Vibrational Waves in a Thick Infinite Plate of Piezoelectric Crystal,” J. Acoust. Soc. Am. 44, pp.478-482, 1968.CrossRef

Paul, H. S., 1978, “Vibrations of a Hollow Circular Cylinder of Piezoelectric Ceramics,” J. Acoust. Soc. Am. 82(3), September 1978.CrossRef

Paul, H. S., 1982, “Asymptotic Analysis of the Modes of Wave Propagation in a Piezoelectric Solid Cylinder,” J. Acoust. Soc. Am. 71(2), February 1982.

Paul, H. S., 1986, “Axisymmetric Vibration of a Piezoelectric Solid Cylinder Guided by a Thin Film,” J. Acoust. Soc. Am. 80(4), October 1986.CrossRef

Paul, H. S., 1987, “Wave Propagation in a Piezoelectric Solid Cylinder of Arbitrary Cross Section,” J. Acoust. Soc. Am. 82(6), December 1987.CrossRef

Rogacheva, N. N., 1982, “Equations of State of Piezoceramic Shells,” PMM U.S.S.R., Vol. 45, 677-684, 1982.CrossRef

Rogacheva, N. N., 1984a, “On Boundary conditions in the Theory of Piezoceramic Shells Polarized Along Coordinate Lines,” PMM U.S.S.R., Vol. 47, No. 2, 220-226, 1984.MathSciNetCrossRef

Rogacheva, N. N., 1984b, “On Stain?Venant Type Conditions in the Theory of Piezoelastic Shells,” PMM U.S.S.R., Vol. 48, No. 2, 213-216, 1984.

Rogacheva, N. N., 1986, “Classification of Free Piezoceramic Shell Vibrations,” PMM U.S.S.R., Vol. 50, No. 1,106-111, 1986.MathSciNetCrossRef

Schmidt, G. H., 1972, “Extensional Vibrations of Piezoelectric Plates,” J. Eng. Math. 6, pp.133-142, 1972.CrossRef

Senik, N. A. and Kudriavtsev, B. A., 1980, “Equations on the Theory of Piezoceramic Shells,” In: Mechanics of a solid deformable body and related analytical problems. Moscow, Izd. mosk. Inst. Chim. Mashinostroeniia, 1980.

Soedel, W., 1981, Vibrations of Shells and Plates, Marcel Dekker, Inc., New York, 1981.

Tiersten, H. F. and Mindlin, R.D., 1962, Appl. Math. 20, 107-109, 1962.

Tiersten, H. F., 1969, Linear Piezoelectric Plate Vibrations, Plenum, New York, 1969.

Toupin, R. A., 1959, “Piezoelectric Relation and the Rachial Deformation of Polarized Spherical Shell,” J. Acoust. Soc. Am. 31, 315-318, 1959.

Tzou, H.S., 1991, “Distributed Modal Identification and Vibration Control of Continua: Theory and Applications,” ASME Journal of Dynamic Systems, Measurements, and Control, Vol.(133), No.(3), 1991.

Tzou, H.S., 1992, “A New Distributed Sensation and Control Theory for “Intelligent” Shells,” Journal of Sound and Vibration, Vol.152, No.3, pp.335-350, March 1992.

Tzou, H.S. and Anderson, G.L. (Editors), Intelligent Structural Systems, ISBN No.0-7923-1920-6, 488 pages, Book, Kluwer Academic Publishers, August 1992.

Tzou, H.S., and Gadre, M, 1989, “Theoretical Analysis of a Multi-Layered Thin Shell Coupled with Piezoelectric Shell Actuators for Distributed Vibration Control,” Journal of Sound and Vibration, Vol.132, No.3, pp.433-450, August 1989.CrossRef

Tzou, H.S. and Zhong, J.P., 1990, “Electromechanical Dynamics of Piezoelectric Shell Distributed Systems, Part-1&2,” Robotics Research-1990, ASME-DSC-Vol.26, pp.207-211, 1990 ASME Winter Annual Meetings, Dallas, Texas, Nov. 25-30, 1990; ASME Journal of Dynamic Systems, Measurements, and Control.

Tzou, H.S. and Zhong, J.P., 1991a, “Adaptive Piezoelectric Shell Structures: Theory and Experiments,” AIAA/ASME/ASCE/AHA/ASC 32nd Structures, Structural Dynamics and Materials Conference, pp.2290-2296, Paper No. AIAA-91-1238-CP, Baltimore, Maryland, April 8-10, 1991. Mechanical Systems and Signal Processing, Vol.(7), No.(3), May 1993.

Tzou, H.S. and Zhong, J.P., 1991b, “Theory on Hexagonal Symmetrical Piezoelectric Thick Shells Applied to Smart Structures,” Structural Vibration and Acoustics, Edrs. Huang, Tzou, et al., ASME-DE-Vol.34, pp.7-15, Symposium on Intelligent Structural Systems, 1991 ASME 13th Biennial Conference on Mechanical Vibration and Noise, Miami, Florida, September 22-25, 1991.

Tzou, H.S., Zhong, J.P., and Natori, M.C., 1993, “Sensor Mechanics of Distributed Shell Convolving Sensors Applied to Flexible Rings,” ASME Transactions, Journal of Vibration & Acoustics, Vol.115, No.1, pp.40 46, January 1993.CrossRef

Tzou, H.S. and Zhong, J.P., 1991d, “Control of Piezoelectric Cylindrical Shells via Distributed In-Plane Membrane Forces,” Controls for Aerospace Systems, DSC-Vol.35, pp.15-20, Distributed Control of Flexible Structures, Aerospace Panel, Dynamic Systems and Control Division, 1991 ASME WAM, Atlanta, GA, December 1-6, 1991.

Tzou, H.S., 1992, “Active Piezoelectric Shell Continua,” Intelligent Structural Systems, H.S. Tzou & G.L. Anderson, (Editors), pp.9-74, Kluwer Academic Publishers, Aug. 1992.

Tzou, H.S., 2000, “Integrated Piezoelectric Sensor Actuator Design for Distributed Identification and Control of “Smart” Machines and Flexible Robots: Part 1: Theory and Experiments,” Intelligent Systems and Robotics, G.W. Zobrist and C.Y Ho, (Editors), pp.92-122, Gordon and Breach Science Publishers (2000OPA), Netherlands, 2000.

Tzou, H.S., Zhu, Y.T. and Hagiwara, I., 2002, “Distributed Precision Control of Structronic Shells and Common Shapes – A New Approach,” Recent Research Developments in Sound & Vibration, ISBN: 81-7895-031-6, Vol.1, Part-2, pp.613-646, TransWorld Research, 2002.

Tzou, H.S. and Fukuda, T. (Editors), Precision Sensors, Actuators, and Systems, ISBN 0-7923-2015-8, 478 pages, Book, Kluwer Academic Publishers, Dordrecht/Boston/London, December 1992; April 2002 (2nd print).

Title: Piezoelectric Shell Vibrations
Author: Hornsen (HS) Tzou
Publisher: Springer Netherlands
Book: Piezoelectric Shells
Print ISBN: 978-94-024-1256-7

Electronic ISBN: 978-94-024-1258-1

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-94-024-1258-1_2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Premium Partner