Vibrations of Linear Piezostructures - (Wiley-Asme Press) by Andrew J Kurdila & Pablo A Tarazaga (Hardcover)

About the Book

"Vibrations of Linear Piezostructures is a self-contained and introductory text providing a focused and concise account of the general theory of vibrations of linear piezostructures. While piezoelectric materials and sensors have been studied for decades, a person seeking a general introduction to the theory for modeling and analysis of this emerging class of sensors, actuators, and active systems currently must assimilate approaches from older outdated texts, journal or conference articles, edited volumes, highly specialized texts, or manuscripts that primarily treat other topics such as crystallography, tensor mathematics, continuum mechanics, or continuum electrodynamics. The book deals with the fundamental principals, starting with a review of mathematics, continuum mechanics and elasticity, and continuum electrodynamics as they are applied to electromechanical piezostructures. It continues by developing the work related to linear constitutive laws of piezoelectricity. Following this, it addresses modeling of linear piezostructures via Newton's approach and consequently via Variational Methods. And in the end it presents a general discussion of weak and strong forms of the equations of motion, Galerkin approximation methods for the weak form, Fouier or modal methods, and finite element methods."--

Book Synopsis

A thorough guide to the fundamental development of linear piezoelectricity for vibrations

Vibrations of Linear Piezostructures is an introductory text that offers a concise examination of the general theory of vibrations of linear piezostructures. This important book brings together in one comprehensive volume the most current information on the theory for modeling and analysis of piezostructures. The authors explore the fundamental principles of piezostructures, review the relevant mathematics, continuum mechanics and elasticity, and continuum electrodynamics as they are applied to electromechanical piezostructures, and include the work that pertains to linear constitutive laws of piezoelectricity.

The book addresses modeling of linear piezostructures via Newton's approach and Variational Methods. In addition, the authors explore the weak and strong forms of the equations of motion, Galerkin approximation methods for the weak form, Fourier or modal methods, and finite element methods. This important book:

• Covers the fundamental developments to vibrational theory for linear piezostructures
• Provides an introduction to continuum mechanics, elasticity, electrodynamics, variational calculus, and applied mathematics
• Offers in-depth coverage of Newton's formulation of the equations of motion of vibrations of piezo-structures
• Discusses the variational methods for generation of equations of motion of piezo-structures

Written for students, professionals, and researchers in the field, Vibrations of Linear Piezostructures is an up-to-date volume to the fundamental development of linear piezoelectricity for vibrations from initial development to fully modeled systems using various methods.

About the Author

Andrew J. Kurdila earned his PhD in Engineering Science and Mechanics in 1989 from the Georgia Institute of Technology, USA. Currently, he is the W. Martin Johnson Professor of Mechanical Engineering at Virginia Tech. His areas of specialty include robotics and autonomous and dynamical systems.

Pablo A. Tarazaga earned his PhD in 2009 from Virginia Tech, USA and is currently the Director of the Vibrations, Adaptive Structures and Testing Laboratory and the Director of the Virginia Tech Smart Infrastructure Laboratory at Virginia Tech. His research interests include structural mechanics and dynamics and control.