Vibrations of linear piezostructures / / Andrew J Kurdila and Pablo A. Tarazaga

• Autore: Kurdila Andrew
• Pubblicazione: Hoboken, New Jersey : , : Wiley, , [2021]; ©2021
• Descrizione fisica: 1 online resource (259 pages)
• Disciplina: 537.2446
• Soggetto topico: Piezoelectricity
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): TarazagaPablo (Pablo A.)
• Nota di contenuto: Cover -- Title Page -- Copyright -- Contents -- Foreword -- Preface -- Acknowledgments -- List of Symbols -- Chapter 1 Introduction -- 1.1 The Piezoelectric Effect -- 1.1.1 Ferroelectric Piezoelectrics -- 1.1.2 One Dimensional Direct and Converse Piezoelectric Effect -- 1.2 Applications -- 1.2.1 Energy Applications -- 1.2.2 Sensors -- 1.2.3 Actuators or Motors -- 1.3 Outline of the Book -- Chapter 2 Mathematical Background -- 2.1 Vectors, Bases, and Frames -- 2.2 Tensors -- 2.3 Symmetry, Crystals, and Tensor Invariance -- 2.3.1 Geometry of Crystals -- 2.3.2 Symmetry of Tensors -- 2.4 Problems -- Chapter 3 Review of Continuum Mechanics -- 3.1 Stress -- 3.1.1 The Stress Tensor -- 3.1.2 Cauchy's Formula -- 3.1.3 The Equations of Equilibrium -- 3.2 Displacement and Strain -- 3.3 Strain Energy -- 3.4 Constitutive Laws for Linear Elastic Materials -- 3.4.1 Triclinic Materials -- 3.4.2 Monoclinic Materials -- 3.4.3 Orthotropic Materials -- 3.4.4 Transversely Isotropic Materials -- 3.5 The Initial‐Boundary Value Problem of Linear Elasticity -- 3.6 Problems -- Chapter 4 Review of Continuum Electrodynamics -- 4.1 Charge and Current -- 4.2 The Electric and Magnetic Fields -- 4.2.1 The Definition of the Static Electric Field -- 4.2.2 The Definition of the Static Magnetic Field -- 4.3 Maxwell's Equations -- 4.3.1 Polarization and Electric Displacement -- 4.3.2 Magnetization and Magnetic Field Intensity -- 4.3.3 Maxwell's Equations in Gaussian Units -- 4.3.4 Scalar and Vector Potentials -- 4.4 Problems -- Chapter 5 Linear Piezoelectricity -- 5.1 Constitutive Laws of Linear Piezoelectricity -- 5.2 The Initial‐Value Boundary Problem of Linear Piezoelectricity -- 5.2.1 Piezoelectricity and Maxwell's Equations -- 5.2.2 The Initial‐Boundary Value Problem -- 5.3 Thermodynamics of Constitutive Laws -- 5.4 Symmetry of Constitutive Laws for Linear Piezoelectricity. ; 5.4.1 Monoclinic C2 Crystals -- 5.4.2 Monoclinic Cs Crystals -- 5.4.3 Trigonal D3 Crystals -- 5.4.4 Hexagonal C6v Crystals -- 5.5 Problems -- Chapter 6 Newton's Method for Piezoelectric Systems -- 6.1 An Axial Actuator Model -- 6.2 An Axial, Linear Potential, Actuator Model -- 6.3 A Linear Potential, Beam Actuator -- 6.4 Composite Plate Bending -- 6.5 Problems -- Chapter 7 Variational Methods -- 7.1 A Review of Variational Calculus -- 7.2 Hamilton's Principle -- 7.2.1 Uniaxial Rod -- 7.2.2 Bernoulli-Euler Beam -- 7.3 Hamilton's Principle for Piezoelectricity -- 7.3.1 Uniaxial Rod -- 7.3.2 Bernoulli-Euler Beam -- 7.4 Bernoulli-Euler Beam with a Shunt Circuit -- 7.5 Relationship to other Variational Principles -- 7.6 Lagrangian Densities -- 7.7 Problems -- Chapter 8 Approximations -- 8.1 Classical, Strong, and Weak Formulations -- 8.1.1 Classical Solutions -- 8.1.2 Strong and Weak Solutions -- 8.2 Modeling Damping and Dissipation -- 8.3 Galerkin Approximations -- 8.3.1 Modal or Eigenfunction Approximations -- 8.3.2 Finite Element Approximations -- 8.4 Problems -- Supplementary Material -- Bibliography -- Index -- EULA.
• Titolo autorizzato: Vibrations of linear piezostructures
• ISBN: 1-119-39352-3; 1-119-39338-8; 1-119-39350-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910555010903321
• Lo trovi qui: Univ. Federico II
• Serie: Wiley-ASME Press Ser.