Vibration of Piezoelectric Crystal Plates

Vibration of Piezoelectric Crystal Plates
Author: Jiashi Yang
Publisher: World Scientific
Total Pages: 432
Release: 2013
Genre: Technology & Engineering
ISBN: 9814449857

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.

An Introduction to the Mathematical Theory of Vibrations of Elastic Plates

An Introduction to the Mathematical Theory of Vibrations of Elastic Plates
Author: Raymond David Mindlin
Publisher: World Scientific
Total Pages: 211
Release: 2006
Genre: Technology & Engineering
ISBN: 9812703810

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.

Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin

Introduction To The Mathematical Theory Of Vibrations Of Elastic Plates, An - By R D Mindlin
Author: Jiashi Yang
Publisher: World Scientific
Total Pages: 211
Release: 2006-12-29
Genre: Technology & Engineering
ISBN: 9814476544

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.

The Theory of Piezoelectric Shells and Plates

The Theory of Piezoelectric Shells and Plates
Author: Nellya N. Rogacheva
Publisher: CRC Press
Total Pages: 262
Release: 2020-09-10
Genre: Technology & Engineering
ISBN: 1000102998

This is the first book devoted to a systematic description of the linear theory of piezoelectric shells and plates theory. The book contains two parts. In the first part, the theories for electroelastic thin-walled elements of arbitrary form with different directions of preliminary polarization are presented in an easy form for practical use. The approximate methods for integrating the equations of piezoelectric shells and plates are developed and applied for solving some engineering problems. In the second part, the theory of piezoelectric shells and plates is substantiated by the asymptotic method. The area of applicability for different kinds of electroelastic shell theories is studied. A new problem concerning the electroelastic phenomena at the edge of a thin-walled element is raised and solved. The Theory of Piezoelectric Shells and Plates will be valuable to researchers working in the field of electroelasticity as well as to electrical and electronic engineers who use thin-walled piezoelements. It is also be helpful for students and post-graduates specializing in mechanics and for scientists concerning asymptotic methods.

Analysis Of Piezoelectric Devices

Analysis Of Piezoelectric Devices
Author: Jiashi Yang
Publisher: World Scientific
Total Pages: 537
Release: 2006-09-20
Genre: Technology & Engineering
ISBN: 9814477583

This is the most systematic, comprehensive and up-to-date book on the theoretical analysis of piezoelectric devices. It is a natural continuation of the author's two previous books: “An Introduction to the Theory of Piezoelectricity” (Springer, 2005) and “The Mechanics of Piezoelectric Structures” (World Scientific, 2006). Based on the linear, nonlinear, three-dimensional and lower-dimensional structural theories of electromechanical materials, theoretical results are presented for devices such as piezoelectric resonators, acoustic wave sensors, and piezoelectric transducers. The book reflects the contribution to the field from Mindlin's school of applied mechanics researchers since the 1950s.

R.D. Mindlin and Applied Mechanics

R.D. Mindlin and Applied Mechanics
Author: George Herrmann
Publisher: Elsevier
Total Pages: 304
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483155544

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.