Vibrations of Elastic Plates Linear and Nonlinear Dynamical Modeling of Sandwiches, Laminated Composites, and Piezoelectric Layers - gebrauchtes Buch

EAN (ISBN-13): 9780387945149
ISBN (ISBN-10): 0387945148
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 1996
Herausgeber: Springer-Verlag New York Inc.
228 Seiten
Gewicht: 0,526 kg
Sprache: eng/Englisch

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ISBN/EAN: 0387945148

ISBN - alternative Schreibweisen:
0-387-94514-8, 978-0-387-94514-9
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: yuan
Titel des Buches: mechanical vibration, vibration plates, vibration engineering, piezoelectric plates, linear piezoelectric plate vibrations, something new sandwiches, layers, non linear vibrations, modeling nonlinear mechanical, vibrations elastic plates linear and nonlinear dynamical, composite plates, laminated plates

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Daten vom Verlag:

Autor/in: Yi-Yuan Yu
Titel: Vibrations of Elastic Plates - Linear and Nonlinear Dynamical Modeling of Sandwiches, Laminated Composites, and Piezoelectric Layers
Verlag: Springer; Springer US
228 Seiten
Erscheinungsjahr: 1996-04-25
New York; NY; US
Gewicht: 0,539 kg
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
228 p.

BB; Building Construction and Design; Hardcover, Softcover / Technik/Bautechnik, Umwelttechnik; Hochbau und Baustoffe; Verstehen; beam; chaos; shells; stress; structure; vibration; Building Construction and Design; BC; EA

1 Nonlinear Elasticity Theory.- 1.1 Strains.- 1.2 Stresses.- 1.3 Strain Energy Function and Principle of Virtual Work.- 1.4 Hamilton’s Principle and Variational Equations of Motion.- 1.5 Pseudo-Variational Equations of Motion.- 1.6 Generalized Hamilton’s Principle and Variational Equation of Motion.- 1.7 Stress-Strain Relations in Nonlinear Elasticity.- References.- 2 Linear Vibrations of Plates Based on Elasticity Theory.- 2.1 Equations of Linear Elasticity Theory.- 2.2 Rayleigh-Lamb Solution for Plane-Strain Modes of Vibration in an Infinite Plate.- 2.3 Simple Thickness Modes in an Infinite Plate.- 2.4 Horizontal Shear Modes in an Infinite Plate.- 2.5 Modes in an Infinite Plate Involving Phase Reversals in Both x-and y-Directions.- 2.6 Plane-Strain Modes in an Infinite Sandwich Plate.- 2.7 Simple Thickness Modes in an Infinite Sandwich Plate.- References.- 3 Linear Modeling of Homogeneous Plates.- 3.1 Classical Equations for Flexure of a Homogeneous Plate.- 3.2 Refined Equations for Flexure of an Isotropic Plate: Mindlin Plate Equations and Timoshenko Beam Equations.- 3.3 Classical Equations for Extension of an Isotropic Plate.- 3.4 Refined Equations for Extension of an Isotropic Plate.- 3.5 Vibrations of an Infinite Plate: Useful Ranges of Plate Equations.- 3.6 General Equations of an Anisotropic Plate.- References.- 4 Linear Modeling of Sandwich Plates.- 4.1 Refined Equations for Flexure of a Sandwich Plate Including Transverse Shear Effects in All Layers.- 4.2 Simplified Refined Equations for Flexure of a Sandwich Plate with Membrane Facings.- 4.3 Classical Equations for Flexure of a Sandwich Plate.- 4.4 Flexural Vibration of an Infinite Sandwich Plate: Useful Ranges of Sandwich Plate Equations.- 4.5 Extensional Vibration of an Infinite Sandwich Plate Based on Classical Equations.- References.- 5 Linear Modeling of Laminated Composite Plates.- 5.1 Classical Equations of a Laminated Composite Plate.- 5.2 Refined Equations of a Laminated Composite Plate.- 5.3 Flexural Vibration of a Symmetric Laminate: Useful Ranges of Equations.- 5.4 Extensional Vibration of a Symmetric Laminate: Useful Ranges of Equations.- References.- 6 Linear Vibrations Based on Plate Equations.- 6.1 Free Flexural Vibration of Plates with Simply Supported Edges.- 6.2 Free Flexural Vibration of Plates with Clamped Edges.- 6.3 Forced Flexural Vibration of Homogeneous and Sandwich Plates in Plane Strain.- References.- 7 Nonlinear Modeling for Large Deflections of Beams, Plates, and Shallow Shells.- 7.1 Equations for Large Deflections of a Buckled Timoshenko Beam.- 7.2 Von Kármán Equations for Large Deflections of a Plate: Incorporation of Transverse Shear Effect.- 7.3 Marguerre Equations for Large Deflections of a Shallow Shell: Incorporation of Transverse Shear Effect.- 7.4 Remarks on the Variational Equations of Motion.- References.- 8 Nonlinear Modeling and Vibrations of Sandwiches and Laminated Composites.- 8.1 Equations for Large Deflections of a Sandwich Plate.- 8.2 Nonlinear Vibration of a Sandwich Plate.- 8.3 Equations for Large Deflections of a Laminated Composite Plate.- 8.4 Nonlinear Vibration of an Orthotropic Symmetric Laminate.- 8.5 Equations for Large Deflections of a Sandwich Beam with Laminated Composite Facings and an Orthotropic Core.- References.- 9 Chaotic Vibrations of Beams.- 9.1 A Numerical Study of Chaos According to Duffing’s Equation: Effect of Damping.- 9.2 More Poincaré Maps According to Duffing’s Equation for Small Damping.- 9.3 Spectral Analysis of Chaos.- 9.4 Acoustic Radiation from Chaotic Vibrations of a Beam.- References.- 10 Nonlinear Modeling of Piezoelectric Plates.- 10.1 From Elasticity to Peizoelectricity.- 10.2 Generalized Hamilton’s Principle and Variational Equation of Motion Including Piezoelectric Effect.- 10.3 Classical Equations for Large Deflections of a Piezoelectric Plate.- 10.4 Refined Equations for Large Deflections of a Piezoelectric Plate.- 10.5 Final Remarks on the Variational Equations of Motion.- References.