vibration of piezoelectric crystal plates

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Vibration Of Piezoelectric Crystal Plates

Author : Jiashi Yang
ISBN : 9789814449861
Genre : Technology & Engineering
File Size : 39. 44 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
ISBN : OCLC:227270117
Genre : Crystals
File Size : 58. 49 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).

A New Two Dimensional Theory For Vibrations Of Piezoelectric Crystal Plates With Electroded Faces

Author : Wen-sen Lin
ISBN : OCLC:39832511
Genre :
File Size : 53. 79 MB
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Linear Piezoelectric Plate Vibrations

Author : Henry Frank Tiersten
ISBN : 9781489964533
Genre : Science
File Size : 82. 58 MB
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Mechanics Of Electromagnetic Materials And Structures

Author : J. S. Yang
ISBN : 1586030310
Genre : Science
File Size : 24. 55 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
ISBN : 9789812703811
Genre : Technology & Engineering
File Size : 56. 45 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
ISBN : 9781845646905
Genre : Technology & Engineering
File Size : 88. 78 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.

Vibrations Of Elastic Plates

Author : Yi-Yuan Yu
ISBN : 0387945148
Genre : Science
File Size : 39. 26 MB
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This book deals with the dynamical modeling of thin elastic structures, such as beams, plates and shells - particularly, the linear and nonlinear vibrations in these structures. The approach makes systematic use of variational equations of motion.

Applied Mechanics Reviews

Author :
ISBN : OSU:32435075915058
Genre : Mechanical engineering
File Size : 29. 57 MB
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Vibrations Of Shells And Plates Third Edition

Author : Werner Soedel
ISBN : 0203026306
Genre : Technology & Engineering
File Size : 50. 88 MB
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With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today’s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its third edition, Vibrations of Shells and Plates continues to lay an analytical and computational foundation for the study of vibration in these structures. Vibrations of Shells and Plates, Third Edition is updated with substantial new material reflecting advances made over the past decade since publication of the second edition. The author demonstrates how the vibration behavior of shells and plates differs from that of beams through theoretical development and examples. He also explains complicating effects on vibration such as the influence of rotation, shear, rotatory inertia, moment loading, residual stresses, and composite layers. New material includes the parabolic cylindrical shell, natural frequencies and modes, power series method, and explicit strain energy equations for many standard cases. Intended for graduate and post-graduate study in vibration, acoustics, noise control, and stress analysis, this textbook provides a strong foundation in vibration theory, offers analytical solutions that illustrate actual behavior of structures, and prepares students to perform finite element and finite difference analysis.

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