Vibration Of Piezoelectric Crystal Plates

Author: Jiashi Yang
Publisher: World Scientific
ISBN: 9814449865
Size: 23.99 MB
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The first contemporary text specializing on the dynamic problems of piezoelectric crystal plates for resonant acoustic wave devices (such as resonators, filters, and sensors) since H F Tiersten's publication in 1969. This book provides an up-to-date, systematic and comprehensive presentation of theoretical results on waves and vibrations in quartz crystal plates. It expounds on the application of the theories of elasticity and piezoelectricity in acoustic wave devices made from crystal plates through a coverage spanning from classical results on acoustic wave resonators, up to present-day applications in acoustic wave sensors. This text begins with the exposition of the simplest thickness modes and various frequency effects in them due to electrodes, mass loading, contact with fluids, air gaps, etc., and continues on to the more complicated shear-horizontal modes, as well as straight-crested modes varying along the digonal axis of rotated Y-cut quartz. Modes varying in both of the in-plane directions of crystal plates are also addressed. The analysis within are based on the three-dimensional theories of piezoelectricity and anisotropic elasticity with various approximations when needed. Both free vibration modes (stationary waves) and propagating waves are studied in this text. Forced vibration is also treated in a few places. This book is intended to serve as an informative reference to personnel who employ piezoelectric crystal plates in the course of their profession. Contents:Theory of PiezoelectricityThickness Modes in Plates: Elastic AnalysisThickness Modes in Plates: Piezoelectric AnalysisShear-horizontal Waves in Unbounded PlatesShear-horizontal Vibrations of Finite PlatesWaves Propagating along Digonal AxisVibration of Rectangular PlatesScalar Equation for Thickness Modes Readership: Professional engineers working with Piezoelectric Crystal Plates. Keywords:Piezoelectric;Plate;Wave;Vibration;Resonator;SensorKey Features:First contemporary text specializing on the dynamic problems of piezoelectric crystal plates for resonant acoustic wave devices (such as resonators, filters, and sensors) since H F Tiersten's publication in 1969

Forced Vibrations Of Piezoelectric Crystal Plates

Author: H. F. Tiersten
Publisher:
ISBN:
Size: 21.69 MB
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An extension is made of two-dimension l equations to include the piezoelectric relations and the electric field equations. The equations obtained are also extensions of previous equations in which the thickness-shear modes, the piezoelectric effect and the electric field equations were taken into account, but coupling with extensional modes was omitted. The ew equations are deduced from the t r e-dimensional, linear, piezoelectric equations by a procedure based on the series expansion methods of Cauchy and Poisson and the variational method of Kirchhoff. (Author).

Mechanics Of Electromagnetic Materials And Structures

Author: J. S. Yang
Publisher: IOS Press
ISBN: 9781586030315
Size: 54.67 MB
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This volume contains papers presented at the Symposium on the Mechanics of Electromagnetic Materials and Structures of the 1999 ASME Summer Meeting in Blacksburg, Virginia, USA. Topics covered include continuum modelling of deformable electromagnetic materials, magnetoelasticity and electroelasticity. Experimental, computational, and theoretical results are presented. The Symposium and the book are enriched by the participation of contributors from industries and presentations related to device applications.

An Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates

Author: Raymond David Mindlin
Publisher: World Scientific
ISBN: 9812703810
Size: 22.29 MB
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This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.

Nonlinear Analyses Of Laminated Plates And Shells With Damage

Author: Yi-Ming Fu
Publisher: WIT Press
ISBN: 1845646908
Size: 10.39 MB
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The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science.

R D Mindlin And Applied Mechanics

Author: George Herrmann
Publisher: Elsevier
ISBN: 1483155544
Size: 12.75 MB
Format: PDF
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R. D. Mindlin and Applied Mechanics is a collection of studies in the development of Applied Mechanics dedicated to Professor Raymond D. Mindlin by his former students. This book contains the development of specific areas of Mechanics of Solids to which Mindlin has contributed most. Organized into eight chapters, this text first discusses the past, present and likely future of photoelasticity. Subsequent chapters explore the development of the three-dimensional theory of elasticity; generalized elastic continua; bodies in contact with applications to granular media; and waves and vibrations in isotropic and anisotropic plates. Other chapters discuss the vibrations and wave propagation in rods, piezoelectric crystals, and electro-elasticity. Lastly, the lattice theories and continuum mechanics are described.