High Frequency Vibrations Of Piezoelectric Crystal Plates
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Author | : R. D. Mindlin |
Publisher | : |
Total Pages | : 27 |
Release | : 1972 |
Genre | : |
ISBN | : |
Two dimensional equations of motion of piezoelectric crystal plates are obtained by retaining early terms of power series expansions of the mechanical displacement and electric potential in a variational principle for the three-dimensional equations of piezoelectricity. (Author).
Author | : Jiashi Yang |
Publisher | : World Scientific |
Total Pages | : 432 |
Release | : 2013-07-26 |
Genre | : Technology & Engineering |
ISBN | : 9814449865 |
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.
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.
Author | : |
Publisher | : |
Total Pages | : 48 |
Release | : 1960 |
Genre | : Crystals |
ISBN | : |
Author | : R. D. Mindlin |
Publisher | : |
Total Pages | : 30 |
Release | : 1973 |
Genre | : |
ISBN | : |
A system of two-dimensional equations is derived for high frequency motions of crystal plates accounting for coupling of mechanical, electrical and thermal fields. (Author).
Author | : Harry F. Tiersten |
Publisher | : |
Total Pages | : 54 |
Release | : 1961 |
Genre | : Crystals |
ISBN | : |
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).
Author | : Henry Frank Tiersten |
Publisher | : Springer |
Total Pages | : 216 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 1489964533 |
Author | : Raj K. Kaul |
Publisher | : |
Total Pages | : 42 |
Release | : 1972 |
Genre | : |
ISBN | : |
Equations of motion of an anisotropic plate are rederived by using a new procedure which first determines the natural concomitants of the variational problem and then shows how the two-dimensional equations can be simplified by using these conditions. (Author).
Author | : Alper Erturk |
Publisher | : John Wiley & Sons |
Total Pages | : 377 |
Release | : 2011-04-04 |
Genre | : Technology & Engineering |
ISBN | : 1119991358 |
The transformation of vibrations into electric energy through the use of piezoelectric devices is an exciting and rapidly developing area of research with a widening range of applications constantly materialising. With Piezoelectric Energy Harvesting, world-leading researchers provide a timely and comprehensive coverage of the electromechanical modelling and applications of piezoelectric energy harvesters. They present principal modelling approaches, synthesizing fundamental material related to mechanical, aerospace, civil, electrical and materials engineering disciplines for vibration-based energy harvesting using piezoelectric transduction. Piezoelectric Energy Harvesting provides the first comprehensive treatment of distributed-parameter electromechanical modelling for piezoelectric energy harvesting with extensive case studies including experimental validations, and is the first book to address modelling of various forms of excitation in piezoelectric energy harvesting, ranging from airflow excitation to moving loads, thus ensuring its relevance to engineers in fields as disparate as aerospace engineering and civil engineering. Coverage includes: Analytical and approximate analytical distributed-parameter electromechanical models with illustrative theoretical case studies as well as extensive experimental validations Several problems of piezoelectric energy harvesting ranging from simple harmonic excitation to random vibrations Details of introducing and modelling piezoelectric coupling for various problems Modelling and exploiting nonlinear dynamics for performance enhancement, supported with experimental verifications Applications ranging from moving load excitation of slender bridges to airflow excitation of aeroelastic sections A review of standard nonlinear energy harvesting circuits with modelling aspects.
Author | : J. S. Yang |
Publisher | : IOS Press |
Total Pages | : 196 |
Release | : 2000 |
Genre | : Science |
ISBN | : 9781586030315 |
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.