عنوان

An introduction to the mathematical theory of vibrations of elastic plates /

شابک

1281373230

شابک

6611373233

شابک

9781281373236

شابک

9786611373238

شابک

9789812772497

شابک

9812772499

شابک اشتباه

9789812703811

شابک اشتباه

9812703810

شماره

b722432

عنوان اصلي

An introduction to the mathematical theory of vibrations of elastic plates /

نام عام مواد

[Book]

نام نخستين پديدآور

R.D. Mindlin ; edited by Jiashi Yang.

محل نشرو پخش و غیره

Hackensack, N.J. :

نام ناشر، پخش کننده و غيره

World Scientific,

تاریخ نشرو بخش و غیره

©2006.

نام خاص و کميت اثر

1 online resource (xix, 190 pages) :

ساير جزييات

illustrations

متن يادداشت

Includes bibliographical references (pages 175-180) and index.

متن يادداشت

Foreword; Preface; Contents; 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.

متن يادداشت

2.05 Simple Thickness-Modes in an Infinite, Triclinic Plate2.06 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.

متن يادداشت

2.13 Solutions in Cylindrical Coordinates2.14 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; 4.03 Stress-Strain Relations; 4.04 Displacement-Equations of Motion; 4.05 Useful Range of Zero-Order Approximation; Chapter 5: First-Order Approximation.

متن يادداشت

5.01 Separation of Zero- and First-Order Terms from Series5.02 Adjustment of Upper Modes; 5.03 Uniqueness of Solutions; 5.04 Stress-Strain Relations; 5.05 Stress-Displacement Relations; 5.06 Displacement-Equations of Motion; 5.07 Useful Range of First-Order Approximation; Chapter 6: Intermediate Approximations; 6.01 Introductory; 6.02 Thickness-Shear, Thickness-Flexure and Face-Extension; 6.03 Thickness-Shear and Thickness-Flexure; 6.04 Classical Theory of Low-Frequency Vibrations of Thin Plates; 6.05 Moderately-High-Frequency Vibrations of Thin Plates; References.

متن يادداشت

Appendix Applications of the First-Order ApproximationBiographical Sketch of R.D. Mindlin; Students of R.D. Mindlin; Presidential Medal for Merit; National Medal of Science; Handwritten Equations from the 1955 Monograph; Index.

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

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 prediction from the three-dimensional theory. Discussing mainly high-frequency dynamic problems, it is also useful in traditional applications in structural engineering as well as provides the theoretical foundation for acoustic wave devices.

عنوان

Introduction to the mathematical theory of vibrations of elastic plates.

موضوع مستند نشده

Elastic plates and shells.

موضوع مستند نشده

Nonlinear theories.

موضوع مستند نشده

Vibration-- Mathematical models.

موضوع مستند نشده

Elastic plates and shells.

موضوع مستند نشده

Nonlinear theories.

موضوع مستند نشده

TECHNOLOGY & ENGINEERING-- Structural.

موضوع مستند نشده

Vibration-- Mathematical models.

موضوع مستند نشده

TBJ

موضوع مستند نشده

TGMD4

موضوع مستند نشده

TEC-- 063000

موضوع مستند نشده

TGMD4

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Mindlin, Raymond D., (Raymond David),1906-1987.

مستند نام اشخاص تاييد نشده

Yang, Jiashi,1956-

تاريخ عمليات

20201208141226.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y