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140122 ||| eng |
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|a 9781461223382
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| 100 |
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|a Yu, Yi-Yuan
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| 245 |
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|a Vibrations of Elastic Plates
|h Elektronische Ressource
|b Linear and Nonlinear Dynamical Modeling of Sandwiches, Laminated Composites, and Piezoelectric Layers
|c by Yi-Yuan Yu
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| 250 |
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|a 1st ed. 1996
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| 260 |
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|a New York, NY
|b Springer New York
|c 1996, 1996
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| 300 |
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|a 228 p
|b online resource
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|a 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
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|a 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 --
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|a 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 --
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|a 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 --
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|a 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 --
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|a Engineering, Architectural
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| 653 |
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|a Building Construction and Design
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| 653 |
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|a Building
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|a Buildings—Design and construction
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| 653 |
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|a Construction
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 856 |
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|u https://doi.org/10.1007/978-1-4612-2338-2?nosfx=y
|x Verlag
|3 Volltext
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|a 690
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|a This book is based on my experiences as a teacher and as a researcher for more than four decades. When I started teaching in the early 1950s, I became interested in the vibrations of plates and shells. Soon after I joined the Polytechnic Institute of Brooklyn as a professor, I began working busily on my research in vibrations of sandwich and layered plates and shells, and then teaching a graduate course on the same subject. Although I tried to put together my lecture notes into a book, I never finished it. Many years later, I came to the New Jersey Institute of Technology as the dean of engineering. When I went back to teaching and looked for some research areas to work on, I came upon laminated composites and piezoelectric layers, which appeared to be natural extensions of sandwiches. Working on these for the last several years has brought me a great deal of joy, since I still am able to find my work relevant. At least I can claim that I still am pursuing life-long learning as it is advocated by educators all over the country. This book is based on the research results I accumulated during these two periods of my work, the first on vibrations and dynamical model ing of sandwiches, and the second on laminated composites and piezoelec tric layers
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