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Аннотация

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.