An introduction to the mathematical theory of vibrations of elastic plates /:
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 the...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, N.J. :
World Scientific,
©2006.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xix, 190 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 175-180) and index. |
| ISBN: | 9789812772497 9812772499 1281373230 9781281373236 9786611373238 6611373233 |
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| 100 | 1 | |a Mindlin, Raymond D. |q (Raymond David), |d 1906-1987. |1 https://id.oclc.org/worldcat/entity/E39PBJmdrKjgvXpk9XbgjQHjYP |0 http://id.loc.gov/authorities/names/n87873965 | |
| 245 | 1 | 3 | |a An introduction to the mathematical theory of vibrations of elastic plates / |c R.D. Mindlin ; edited by Jiashi Yang. |
| 260 | |a Hackensack, N.J. : |b World Scientific, |c ©2006. | ||
| 300 | |a 1 online resource (xix, 190 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references (pages 175-180) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 546 | |a English. | ||
| 650 | 0 | |a Elastic plates and shells. |0 http://id.loc.gov/authorities/subjects/sh85041510 | |
| 650 | 0 | |a Vibration |x Mathematical models. | |
| 650 | 0 | |a Nonlinear theories. |0 http://id.loc.gov/authorities/subjects/sh85092332 | |
| 650 | 6 | |a Plaques et coques élastiques. | |
| 650 | 6 | |a Vibration |x Modèles mathématiques. | |
| 650 | 6 | |a Théories non linéaires. | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Structural. |2 bisacsh | |
| 650 | 7 | |a Elastic plates and shells |2 fast | |
| 650 | 7 | |a Nonlinear theories |2 fast | |
| 650 | 7 | |a Vibration |x Mathematical models |2 fast | |
| 700 | 1 | |a Yang, Jiashi, |d 1956- |1 https://id.oclc.org/worldcat/entity/E39PCjGghw7jQD4R7KPqTWb68C |0 http://id.loc.gov/authorities/names/nr93049182 | |
| 776 | 0 | 8 | |i Print version: |a Mindlin, Raymond D. (Raymond David), 1906-1987. |t Introduction to the mathematical theory of vibrations of elastic plates. |d Hackensack, N.J. : World Scientific, ©2006 |w (DLC) 2006042124 |
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| author | Mindlin, Raymond D. (Raymond David), 1906-1987 |
| author2 | Yang, Jiashi, 1956- |
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| contents | 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. 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. 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. 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. 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. |
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Mindlin ; edited by Jiashi Yang.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Hackensack, N.J. :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">©2006.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xix, 190 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 175-180) and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Elastic plates and shells.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85041510</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Vibration</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Nonlinear theories.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85092332</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Plaques et coques élastiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Vibration</subfield><subfield code="x">Modèles mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théories non linéaires.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING</subfield><subfield code="x">Structural.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Elastic plates and shells</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Nonlinear theories</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Vibration</subfield><subfield code="x">Mathematical models</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yang, Jiashi,</subfield><subfield code="d">1956-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjGghw7jQD4R7KPqTWb68C</subfield><subfield code="0">http://id.loc.gov/authorities/names/nr93049182</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Mindlin, Raymond D. 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| id | ZDB-4-EBA-ocn560389322 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:00Z |
| institution | BVB |
| isbn | 9789812772497 9812772499 1281373230 9781281373236 9786611373238 6611373233 |
| language | English |
| oclc_num | 560389322 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xix, 190 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Mindlin, Raymond D. (Raymond David), 1906-1987. https://id.oclc.org/worldcat/entity/E39PBJmdrKjgvXpk9XbgjQHjYP http://id.loc.gov/authorities/names/n87873965 An introduction to the mathematical theory of vibrations of elastic plates / R.D. Mindlin ; edited by Jiashi Yang. Hackensack, N.J. : World Scientific, ©2006. 1 online resource (xix, 190 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 175-180) and index. Print version record. 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. 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. 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. 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. 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. 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. English. Elastic plates and shells. http://id.loc.gov/authorities/subjects/sh85041510 Vibration Mathematical models. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Plaques et coques élastiques. Vibration Modèles mathématiques. Théories non linéaires. TECHNOLOGY & ENGINEERING Structural. bisacsh Elastic plates and shells fast Nonlinear theories fast Vibration Mathematical models fast Yang, Jiashi, 1956- https://id.oclc.org/worldcat/entity/E39PCjGghw7jQD4R7KPqTWb68C http://id.loc.gov/authorities/names/nr93049182 Print version: Mindlin, Raymond D. (Raymond David), 1906-1987. Introduction to the mathematical theory of vibrations of elastic plates. Hackensack, N.J. : World Scientific, ©2006 (DLC) 2006042124 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210754 Volltext |
| spellingShingle | Mindlin, Raymond D. (Raymond David), 1906-1987 An introduction to the mathematical theory of vibrations of elastic plates / 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. 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. 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. 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. 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. Elastic plates and shells. http://id.loc.gov/authorities/subjects/sh85041510 Vibration Mathematical models. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Plaques et coques élastiques. Vibration Modèles mathématiques. Théories non linéaires. TECHNOLOGY & ENGINEERING Structural. bisacsh Elastic plates and shells fast Nonlinear theories fast Vibration Mathematical models fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85041510 http://id.loc.gov/authorities/subjects/sh85092332 |
| title | An introduction to the mathematical theory of vibrations of elastic plates / |
| title_auth | An introduction to the mathematical theory of vibrations of elastic plates / |
| title_exact_search | An introduction to the mathematical theory of vibrations of elastic plates / |
| title_full | An introduction to the mathematical theory of vibrations of elastic plates / R.D. Mindlin ; edited by Jiashi Yang. |
| title_fullStr | An introduction to the mathematical theory of vibrations of elastic plates / R.D. Mindlin ; edited by Jiashi Yang. |
| title_full_unstemmed | An introduction to the mathematical theory of vibrations of elastic plates / R.D. Mindlin ; edited by Jiashi Yang. |
| title_short | An introduction to the mathematical theory of vibrations of elastic plates / |
| title_sort | introduction to the mathematical theory of vibrations of elastic plates |
| topic | Elastic plates and shells. http://id.loc.gov/authorities/subjects/sh85041510 Vibration Mathematical models. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Plaques et coques élastiques. Vibration Modèles mathématiques. Théories non linéaires. TECHNOLOGY & ENGINEERING Structural. bisacsh Elastic plates and shells fast Nonlinear theories fast Vibration Mathematical models fast |
| topic_facet | Elastic plates and shells. Vibration Mathematical models. Nonlinear theories. Plaques et coques élastiques. Vibration Modèles mathématiques. Théories non linéaires. TECHNOLOGY & ENGINEERING Structural. Elastic plates and shells Nonlinear theories Vibration Mathematical models |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210754 |
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