An introduction to the mathematical theory of vibrations of elastic plates [[electronic resource] /] / R.D. Mindlin ; edited by Jiashi Yang
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Mindlin Raymond D (Raymond David), <1906-1987.>
|
| Titolo: |
An introduction to the mathematical theory of vibrations of elastic plates [[electronic resource] /] / R.D. Mindlin ; edited by Jiashi Yang
|
| Pubblicazione: | Hackensack, N.J., : World Scientific, c2006 |
| Descrizione fisica: | 1 online resource (212 p.) |
| Disciplina: | 624.1/776 |
| Soggetto topico: | Elastic plates and shells |
| Vibration - Mathematical models | |
| Nonlinear theories | |
| Soggetto genere / forma: | Electronic books. |
| Altri autori: |
YangJiashi <1956->
|
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references (p. 175-180) and index. |
| Nota di contenuto: | Contents; Foreword; Preface; Chapter 1: Elements of the Linear Theory of Elasticity; 1.01 Notation; 1.02 Principle of Conservation of Energy; 1.03 Hooke's Law; 1.04 Constants of Elasticity; 1.05 Uniqueness of Solutions; 1.06 Variational Equation of Motion |
| 1.07 Displacement-Equations of Motion Chapter 2: Solutions of the Three-Dimensional Equations; 2.01 Introductory; 2.02 Simple Thickness-Modes in an Infinite Plate; 2.03 Simple Thickness-Modes in an Infinite, Isotropic Plate; 2.04 Simple Thickness-Modes in an Infinite, Monoclinic Plate; 2.05 Simple Thickness-Modes in an Infinite, Triclinic Plate | |
| 2.06 Plane Strain in an Isotropic Body 2.07 Equivoluminal Modes; 2.08 Wave-Nature of Equivoluminal Modes; 2.09 Infinite, Isotropic Plate Held between Smooth, Rigid Surfaces (Plane Strain); 2.10 Infinite, Isotropic Plate Held between Smooth, Elastic Surfaces (Plane Strain); 2.11 Coupled Dilatational and Equivoluminal Modes in an Infinite, Isotropic Plate with Free Faces (Plane Strain) | |
| 2.12 Three-Dimensional Coupled Dilatational and Equivoluminal Modes in an Infinite Isotropic Plate with Free Faces 2.13 Solutions in Cylindrical Coordinates; 2.14 Additional Boundaries; Chapter 3: Infinite Power Series of Two-Dimensional Equations; 3.01 Introductory | |
| 3.02 Stress-Equations of Motion 3.03 Strain; 3.04 Stress-Strain Relations; 3.05 Strain-Energy and Kinetic Energy; 3.06 Uniqueness of Solutions; 3.07 Plane Tensors; Chapter 4: Zero-Order Approximation; 4.01 Separation of Zero-Order Terms from Series | |
| 4.02 Uniqueness of Solutions | |
| Sommario/riassunto: | This book by the late R D Mindlin is destined to become a classic introduction to the mathematical aspects of two-dimensional theories of elastic plates. It systematically derives the two-dimensional theories of anisotropic elastic plates from the variational formulation of the three-dimensional theory of elasticity by power series expansions. The uniqueness of two-dimensional problems is also examined from the variational viewpoint. The accuracy of the two-dimensional equations is judged by comparing the dispersion relations of the waves that the two-dimensional theories can describe with pr |
| Titolo autorizzato: | An introduction to the mathematical theory of vibrations of elastic plates |
| ISBN: | 1-281-37323-0 |
| 9786611373238 | |
| 981-277-249-9 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910458257603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |