Asymptotic methods in the buckling theory of elastic shells /:
This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | , , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; River Edge, N.J. :
World Scientific,
2001.
|
| Schriftenreihe: | Series on stability, vibration, and control of systems.
v. 4. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of the asymptotic method permit one to estimate the critical loads and find the buckling modes. The solutions to some of the buckling problems are obtained for the first time in the form of explicit formulas. Special attention is devoted to the study of the shells of negative Gaussian curvature, the b. |
| Beschreibung: | 1 online resource (x, 347 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 321-334) and index. |
| ISBN: | 9789812794567 9812794565 |
Internformat
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| 100 | 1 | |a Tovstik, P. E. |1 https://id.oclc.org/worldcat/entity/E39PCjFX7fYWRwFVQjfbRtPxpd |0 http://id.loc.gov/authorities/names/n85288888 | |
| 245 | 1 | 0 | |a Asymptotic methods in the buckling theory of elastic shells / |c Petr E. Tovstik, Andrei L. Smirnov ; edited by Peter R. Frise, Ardeshir Guran. |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c 2001. | ||
| 300 | |a 1 online resource (x, 347 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 347 | |a data file | ||
| 490 | 1 | |a Series on stability, vibration, and control of systems. Series A ; |v v. 4 | |
| 504 | |a Includes bibliographical references (pages 321-334) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface; Contents; Introduction; Basic notation; 1 Equations of Thin Elastic Shell Theory; 1.1 Elements of Surface Theory; 1.2 Equilibrium Equations and Boundary Conditions; 1.3 Errors of 2D Shell Theory of Kirchhoff-Love Type; 1.4 Membrane Stress State; 1.5 Technical Shell Theory Equations; 1.6 Technical Theory Equations in the Other Cases; 1.7 Shallow Shells; 1.8 Initial Imperfections; 1.9 Cylindrical Shells; 1.10 The Potential Energy of Shell Deformation; 1.11 Problems and Exercises; 2 Basic Equations of Shell Buckling; 2.1 Types of Elastic Shell Buckling; 2.2 The Buckling Equations. | |
| 505 | 8 | |a 2.3 The Buckling Equations for a Membrane State2.4 Buckling Equations of the General Stress State; 2.5 Problems and Exercises; 3 Simple Buckling Problems; 3.1 Buckling of a Shallow Convex Shell; 3.2 Shallow Shell Buckling Modes; 3.3 The Non-Uniqueness of Buckling Modes; 3.4 A Circular Cylindrical Shell Under Axial Compression; 3.5 A Circular Cylindrical Shell Under External Pressure; 3.6 Estimates of Critical Load; 3.7 Problems and Examples; 4 Buckling Modes Localized near Parallels; 4.1 Local Shell Buckling Modes; 4.2 Construction Algorithm of Buckling Modes. | |
| 505 | 8 | |a 4.3 Buckling Modes of Convex Shells of Revolution4.4 Buckling of Shells of Revolution Without Torsion; 4.5 Buckling of Shells of Revolution Under Torsion; 4.6 Problems and Exercises; 5 Non-homogeneous Axial Compression of Cylindrical Shells; 5.1 Buckling Modes Localized near Generatrix; 5.2 Reconstruction of the Asymptotic Expansions; 5.3 Axial Compression and Bending of Cylindrical Shell; 5.4 The Influence of Internal Pressure; 5.5 Buckling of a Non-Circular Cylindrical Shell; 5.6 Cylindrical Shell with Curvature of Variable Sign; 5.7 Problems and Exercises. | |
| 505 | 8 | |a 6 Buckling Modes Localized at a Point6.1 Local Buckling of Convex Shells; 6.2 Construction of the Buckling Mode; 6.3 Ellipsoid of Revolution Under Combined Load; 6.4 Cylindrical Shell Under Axial Compression; 6.5 Construction of the Buckling Modes; 6.6 Problems and Exercises; 7 Semi-momentless Buckling Modes; 7.1 Basic Equations and Boundary Conditions; 7.2 Buckling Modes for a Conic Shell; 7.3 Effect of Initial Membrane Stress Resultants; 7.4 Semi-Momentless Buckling Modes of Cylindrical Shells; 7.5 Problems and Exercises; 8 Effect of Boundary Conditions on Semi-momentless Modes. | |
| 505 | 8 | |a 8.1 Construction Algorithm for Semi-Momentless Solutions8.2 Semi-Momentless Solutions; 8.3 Edge Effect Solutions; 8.4 Separation of Boundary Conditions; 8.5 The Effect of Boundary Conditions on the Critical Load; 8.6 Boundary Conditions and Buckling of a Cylindrical Shell; 8.7 Conic Shells Under External Pressure; 8.8 Problems and Exercises; 9 Torsion and Bending of Cylindrical and Conic Shells; 9.1 Torsion of Cylindrical Shells; 9.2 Cylindrical Shell under Combined Loading; 9.3 A Shell with Non-Constant Parameters Under Torsion; 9.4 Bending of a Cylindrical Shell. | |
| 520 | |a This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of the asymptotic method permit one to estimate the critical loads and find the buckling modes. The solutions to some of the buckling problems are obtained for the first time in the form of explicit formulas. Special attention is devoted to the study of the shells of negative Gaussian curvature, the b. | ||
| 650 | 0 | |a Shells (Engineering) |0 http://id.loc.gov/authorities/subjects/sh85121307 | |
| 650 | 0 | |a Buckling (Mechanics) |0 http://id.loc.gov/authorities/subjects/sh85017438 | |
| 650 | 0 | |a Asymptotic expansions. |0 http://id.loc.gov/authorities/subjects/sh85009056 | |
| 650 | 6 | |a Coques (Ingénierie) | |
| 650 | 6 | |a Flambage (Résistance des matériaux) | |
| 650 | 6 | |a Développements asymptotiques. | |
| 650 | 7 | |a shell structures. |2 aat | |
| 650 | 7 | |a warping (structural change) |2 aat | |
| 650 | 7 | |a buckling. |2 aat | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Structural. |2 bisacsh | |
| 650 | 7 | |a Asymptotic expansions |2 fast | |
| 650 | 7 | |a Buckling (Mechanics) |2 fast | |
| 650 | 7 | |a Shells (Engineering) |2 fast | |
| 700 | 1 | |a Smirnov, Andrei L., |d 1956- |1 https://id.oclc.org/worldcat/entity/E39PCjvdyqMvpmytTWjyYfvHBX |0 http://id.loc.gov/authorities/names/n93101964 | |
| 700 | 1 | |a Frise, Peter Richard, |d 1958- |1 https://id.oclc.org/worldcat/entity/E39PCjFkmJrqbrmxX8pTVqwcT3 |0 http://id.loc.gov/authorities/names/no2002026108 | |
| 700 | 1 | |a Guran, A. |q (Ardéshir) |1 https://id.oclc.org/worldcat/entity/E39PCjGVBPqybqg7hJy8M6jfjd |0 http://id.loc.gov/authorities/names/n93080409 | |
| 758 | |i has work: |a Asymptotic methods in the buckling theory of elastic shells (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFxvYyY8RTfp6Y6TBp8yFq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Tovstik, P.E. |t Asymptotic methods in the buckling theory of elastic shells. |d Singapore ; River Edge, N.J. : World Scientific, 2001 |z 9810247265 |z 9789810247263 |w (DLC) 2002277335 |w (OCoLC)48793097 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn262617330 |
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| _version_ | 1816881678955577344 |
| adam_text | |
| any_adam_object | |
| author | Tovstik, P. E. |
| author2 | Smirnov, Andrei L., 1956- Frise, Peter Richard, 1958- Guran, A. (Ardéshir) |
| author2_role | |
| author2_variant | a l s al als p r f pr prf a g ag |
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| author_facet | Tovstik, P. E. Smirnov, Andrei L., 1956- Frise, Peter Richard, 1958- Guran, A. (Ardéshir) |
| author_role | |
| author_sort | Tovstik, P. E. |
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| callnumber-subject | TA - General and Civil Engineering |
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| contents | Preface; Contents; Introduction; Basic notation; 1 Equations of Thin Elastic Shell Theory; 1.1 Elements of Surface Theory; 1.2 Equilibrium Equations and Boundary Conditions; 1.3 Errors of 2D Shell Theory of Kirchhoff-Love Type; 1.4 Membrane Stress State; 1.5 Technical Shell Theory Equations; 1.6 Technical Theory Equations in the Other Cases; 1.7 Shallow Shells; 1.8 Initial Imperfections; 1.9 Cylindrical Shells; 1.10 The Potential Energy of Shell Deformation; 1.11 Problems and Exercises; 2 Basic Equations of Shell Buckling; 2.1 Types of Elastic Shell Buckling; 2.2 The Buckling Equations. 2.3 The Buckling Equations for a Membrane State2.4 Buckling Equations of the General Stress State; 2.5 Problems and Exercises; 3 Simple Buckling Problems; 3.1 Buckling of a Shallow Convex Shell; 3.2 Shallow Shell Buckling Modes; 3.3 The Non-Uniqueness of Buckling Modes; 3.4 A Circular Cylindrical Shell Under Axial Compression; 3.5 A Circular Cylindrical Shell Under External Pressure; 3.6 Estimates of Critical Load; 3.7 Problems and Examples; 4 Buckling Modes Localized near Parallels; 4.1 Local Shell Buckling Modes; 4.2 Construction Algorithm of Buckling Modes. 4.3 Buckling Modes of Convex Shells of Revolution4.4 Buckling of Shells of Revolution Without Torsion; 4.5 Buckling of Shells of Revolution Under Torsion; 4.6 Problems and Exercises; 5 Non-homogeneous Axial Compression of Cylindrical Shells; 5.1 Buckling Modes Localized near Generatrix; 5.2 Reconstruction of the Asymptotic Expansions; 5.3 Axial Compression and Bending of Cylindrical Shell; 5.4 The Influence of Internal Pressure; 5.5 Buckling of a Non-Circular Cylindrical Shell; 5.6 Cylindrical Shell with Curvature of Variable Sign; 5.7 Problems and Exercises. 6 Buckling Modes Localized at a Point6.1 Local Buckling of Convex Shells; 6.2 Construction of the Buckling Mode; 6.3 Ellipsoid of Revolution Under Combined Load; 6.4 Cylindrical Shell Under Axial Compression; 6.5 Construction of the Buckling Modes; 6.6 Problems and Exercises; 7 Semi-momentless Buckling Modes; 7.1 Basic Equations and Boundary Conditions; 7.2 Buckling Modes for a Conic Shell; 7.3 Effect of Initial Membrane Stress Resultants; 7.4 Semi-Momentless Buckling Modes of Cylindrical Shells; 7.5 Problems and Exercises; 8 Effect of Boundary Conditions on Semi-momentless Modes. 8.1 Construction Algorithm for Semi-Momentless Solutions8.2 Semi-Momentless Solutions; 8.3 Edge Effect Solutions; 8.4 Separation of Boundary Conditions; 8.5 The Effect of Boundary Conditions on the Critical Load; 8.6 Boundary Conditions and Buckling of a Cylindrical Shell; 8.7 Conic Shells Under External Pressure; 8.8 Problems and Exercises; 9 Torsion and Bending of Cylindrical and Conic Shells; 9.1 Torsion of Cylindrical Shells; 9.2 Cylindrical Shell under Combined Loading; 9.3 A Shell with Non-Constant Parameters Under Torsion; 9.4 Bending of a Cylindrical Shell. |
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| discipline | Bauingenieurwesen |
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Series A ;</subfield><subfield code="v">v. 4</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 321-334) and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Preface; Contents; Introduction; Basic notation; 1 Equations of Thin Elastic Shell Theory; 1.1 Elements of Surface Theory; 1.2 Equilibrium Equations and Boundary Conditions; 1.3 Errors of 2D Shell Theory of Kirchhoff-Love Type; 1.4 Membrane Stress State; 1.5 Technical Shell Theory Equations; 1.6 Technical Theory Equations in the Other Cases; 1.7 Shallow Shells; 1.8 Initial Imperfections; 1.9 Cylindrical Shells; 1.10 The Potential Energy of Shell Deformation; 1.11 Problems and Exercises; 2 Basic Equations of Shell Buckling; 2.1 Types of Elastic Shell Buckling; 2.2 The Buckling Equations.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">2.3 The Buckling Equations for a Membrane State2.4 Buckling Equations of the General Stress State; 2.5 Problems and Exercises; 3 Simple Buckling Problems; 3.1 Buckling of a Shallow Convex Shell; 3.2 Shallow Shell Buckling Modes; 3.3 The Non-Uniqueness of Buckling Modes; 3.4 A Circular Cylindrical Shell Under Axial Compression; 3.5 A Circular Cylindrical Shell Under External Pressure; 3.6 Estimates of Critical Load; 3.7 Problems and Examples; 4 Buckling Modes Localized near Parallels; 4.1 Local Shell Buckling Modes; 4.2 Construction Algorithm of Buckling Modes.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">4.3 Buckling Modes of Convex Shells of Revolution4.4 Buckling of Shells of Revolution Without Torsion; 4.5 Buckling of Shells of Revolution Under Torsion; 4.6 Problems and Exercises; 5 Non-homogeneous Axial Compression of Cylindrical Shells; 5.1 Buckling Modes Localized near Generatrix; 5.2 Reconstruction of the Asymptotic Expansions; 5.3 Axial Compression and Bending of Cylindrical Shell; 5.4 The Influence of Internal Pressure; 5.5 Buckling of a Non-Circular Cylindrical Shell; 5.6 Cylindrical Shell with Curvature of Variable Sign; 5.7 Problems and Exercises.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">6 Buckling Modes Localized at a Point6.1 Local Buckling of Convex Shells; 6.2 Construction of the Buckling Mode; 6.3 Ellipsoid of Revolution Under Combined Load; 6.4 Cylindrical Shell Under Axial Compression; 6.5 Construction of the Buckling Modes; 6.6 Problems and Exercises; 7 Semi-momentless Buckling Modes; 7.1 Basic Equations and Boundary Conditions; 7.2 Buckling Modes for a Conic Shell; 7.3 Effect of Initial Membrane Stress Resultants; 7.4 Semi-Momentless Buckling Modes of Cylindrical Shells; 7.5 Problems and Exercises; 8 Effect of Boundary Conditions on Semi-momentless Modes.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">8.1 Construction Algorithm for Semi-Momentless Solutions8.2 Semi-Momentless Solutions; 8.3 Edge Effect Solutions; 8.4 Separation of Boundary Conditions; 8.5 The Effect of Boundary Conditions on the Critical Load; 8.6 Boundary Conditions and Buckling of a Cylindrical Shell; 8.7 Conic Shells Under External Pressure; 8.8 Problems and Exercises; 9 Torsion and Bending of Cylindrical and Conic Shells; 9.1 Torsion of Cylindrical Shells; 9.2 Cylindrical Shell under Combined Loading; 9.3 A Shell with Non-Constant Parameters Under Torsion; 9.4 Bending of a Cylindrical Shell.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of the asymptotic method permit one to estimate the critical loads and find the buckling modes. The solutions to some of the buckling problems are obtained for the first time in the form of explicit formulas. 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| id | ZDB-4-EBA-ocn262617330 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:33Z |
| institution | BVB |
| isbn | 9789812794567 9812794565 |
| language | English |
| oclc_num | 262617330 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (x, 347 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific, |
| record_format | marc |
| series | Series on stability, vibration, and control of systems. |
| series2 | Series on stability, vibration, and control of systems. Series A ; |
| spelling | Tovstik, P. E. https://id.oclc.org/worldcat/entity/E39PCjFX7fYWRwFVQjfbRtPxpd http://id.loc.gov/authorities/names/n85288888 Asymptotic methods in the buckling theory of elastic shells / Petr E. Tovstik, Andrei L. Smirnov ; edited by Peter R. Frise, Ardeshir Guran. Singapore ; River Edge, N.J. : World Scientific, 2001. 1 online resource (x, 347 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Series on stability, vibration, and control of systems. Series A ; v. 4 Includes bibliographical references (pages 321-334) and index. Print version record. Preface; Contents; Introduction; Basic notation; 1 Equations of Thin Elastic Shell Theory; 1.1 Elements of Surface Theory; 1.2 Equilibrium Equations and Boundary Conditions; 1.3 Errors of 2D Shell Theory of Kirchhoff-Love Type; 1.4 Membrane Stress State; 1.5 Technical Shell Theory Equations; 1.6 Technical Theory Equations in the Other Cases; 1.7 Shallow Shells; 1.8 Initial Imperfections; 1.9 Cylindrical Shells; 1.10 The Potential Energy of Shell Deformation; 1.11 Problems and Exercises; 2 Basic Equations of Shell Buckling; 2.1 Types of Elastic Shell Buckling; 2.2 The Buckling Equations. 2.3 The Buckling Equations for a Membrane State2.4 Buckling Equations of the General Stress State; 2.5 Problems and Exercises; 3 Simple Buckling Problems; 3.1 Buckling of a Shallow Convex Shell; 3.2 Shallow Shell Buckling Modes; 3.3 The Non-Uniqueness of Buckling Modes; 3.4 A Circular Cylindrical Shell Under Axial Compression; 3.5 A Circular Cylindrical Shell Under External Pressure; 3.6 Estimates of Critical Load; 3.7 Problems and Examples; 4 Buckling Modes Localized near Parallels; 4.1 Local Shell Buckling Modes; 4.2 Construction Algorithm of Buckling Modes. 4.3 Buckling Modes of Convex Shells of Revolution4.4 Buckling of Shells of Revolution Without Torsion; 4.5 Buckling of Shells of Revolution Under Torsion; 4.6 Problems and Exercises; 5 Non-homogeneous Axial Compression of Cylindrical Shells; 5.1 Buckling Modes Localized near Generatrix; 5.2 Reconstruction of the Asymptotic Expansions; 5.3 Axial Compression and Bending of Cylindrical Shell; 5.4 The Influence of Internal Pressure; 5.5 Buckling of a Non-Circular Cylindrical Shell; 5.6 Cylindrical Shell with Curvature of Variable Sign; 5.7 Problems and Exercises. 6 Buckling Modes Localized at a Point6.1 Local Buckling of Convex Shells; 6.2 Construction of the Buckling Mode; 6.3 Ellipsoid of Revolution Under Combined Load; 6.4 Cylindrical Shell Under Axial Compression; 6.5 Construction of the Buckling Modes; 6.6 Problems and Exercises; 7 Semi-momentless Buckling Modes; 7.1 Basic Equations and Boundary Conditions; 7.2 Buckling Modes for a Conic Shell; 7.3 Effect of Initial Membrane Stress Resultants; 7.4 Semi-Momentless Buckling Modes of Cylindrical Shells; 7.5 Problems and Exercises; 8 Effect of Boundary Conditions on Semi-momentless Modes. 8.1 Construction Algorithm for Semi-Momentless Solutions8.2 Semi-Momentless Solutions; 8.3 Edge Effect Solutions; 8.4 Separation of Boundary Conditions; 8.5 The Effect of Boundary Conditions on the Critical Load; 8.6 Boundary Conditions and Buckling of a Cylindrical Shell; 8.7 Conic Shells Under External Pressure; 8.8 Problems and Exercises; 9 Torsion and Bending of Cylindrical and Conic Shells; 9.1 Torsion of Cylindrical Shells; 9.2 Cylindrical Shell under Combined Loading; 9.3 A Shell with Non-Constant Parameters Under Torsion; 9.4 Bending of a Cylindrical Shell. This book contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. The linear problems of bifurcation of shell equilibrium are considered using a two-dimensional theory of the Kirchhoff-Love type. The explicit approximate formulas obtained by means of the asymptotic method permit one to estimate the critical loads and find the buckling modes. The solutions to some of the buckling problems are obtained for the first time in the form of explicit formulas. Special attention is devoted to the study of the shells of negative Gaussian curvature, the b. Shells (Engineering) http://id.loc.gov/authorities/subjects/sh85121307 Buckling (Mechanics) http://id.loc.gov/authorities/subjects/sh85017438 Asymptotic expansions. http://id.loc.gov/authorities/subjects/sh85009056 Coques (Ingénierie) Flambage (Résistance des matériaux) Développements asymptotiques. shell structures. aat warping (structural change) aat buckling. aat TECHNOLOGY & ENGINEERING Structural. bisacsh Asymptotic expansions fast Buckling (Mechanics) fast Shells (Engineering) fast Smirnov, Andrei L., 1956- https://id.oclc.org/worldcat/entity/E39PCjvdyqMvpmytTWjyYfvHBX http://id.loc.gov/authorities/names/n93101964 Frise, Peter Richard, 1958- https://id.oclc.org/worldcat/entity/E39PCjFkmJrqbrmxX8pTVqwcT3 http://id.loc.gov/authorities/names/no2002026108 Guran, A. (Ardéshir) https://id.oclc.org/worldcat/entity/E39PCjGVBPqybqg7hJy8M6jfjd http://id.loc.gov/authorities/names/n93080409 has work: Asymptotic methods in the buckling theory of elastic shells (Text) https://id.oclc.org/worldcat/entity/E39PCFxvYyY8RTfp6Y6TBp8yFq https://id.oclc.org/worldcat/ontology/hasWork Print version: Tovstik, P.E. Asymptotic methods in the buckling theory of elastic shells. Singapore ; River Edge, N.J. : World Scientific, 2001 9810247265 9789810247263 (DLC) 2002277335 (OCoLC)48793097 Series on stability, vibration, and control of systems. Series A ; v. 4. http://id.loc.gov/authorities/names/n97060398 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235781 Volltext |
| spellingShingle | Tovstik, P. E. Asymptotic methods in the buckling theory of elastic shells / Series on stability, vibration, and control of systems. Preface; Contents; Introduction; Basic notation; 1 Equations of Thin Elastic Shell Theory; 1.1 Elements of Surface Theory; 1.2 Equilibrium Equations and Boundary Conditions; 1.3 Errors of 2D Shell Theory of Kirchhoff-Love Type; 1.4 Membrane Stress State; 1.5 Technical Shell Theory Equations; 1.6 Technical Theory Equations in the Other Cases; 1.7 Shallow Shells; 1.8 Initial Imperfections; 1.9 Cylindrical Shells; 1.10 The Potential Energy of Shell Deformation; 1.11 Problems and Exercises; 2 Basic Equations of Shell Buckling; 2.1 Types of Elastic Shell Buckling; 2.2 The Buckling Equations. 2.3 The Buckling Equations for a Membrane State2.4 Buckling Equations of the General Stress State; 2.5 Problems and Exercises; 3 Simple Buckling Problems; 3.1 Buckling of a Shallow Convex Shell; 3.2 Shallow Shell Buckling Modes; 3.3 The Non-Uniqueness of Buckling Modes; 3.4 A Circular Cylindrical Shell Under Axial Compression; 3.5 A Circular Cylindrical Shell Under External Pressure; 3.6 Estimates of Critical Load; 3.7 Problems and Examples; 4 Buckling Modes Localized near Parallels; 4.1 Local Shell Buckling Modes; 4.2 Construction Algorithm of Buckling Modes. 4.3 Buckling Modes of Convex Shells of Revolution4.4 Buckling of Shells of Revolution Without Torsion; 4.5 Buckling of Shells of Revolution Under Torsion; 4.6 Problems and Exercises; 5 Non-homogeneous Axial Compression of Cylindrical Shells; 5.1 Buckling Modes Localized near Generatrix; 5.2 Reconstruction of the Asymptotic Expansions; 5.3 Axial Compression and Bending of Cylindrical Shell; 5.4 The Influence of Internal Pressure; 5.5 Buckling of a Non-Circular Cylindrical Shell; 5.6 Cylindrical Shell with Curvature of Variable Sign; 5.7 Problems and Exercises. 6 Buckling Modes Localized at a Point6.1 Local Buckling of Convex Shells; 6.2 Construction of the Buckling Mode; 6.3 Ellipsoid of Revolution Under Combined Load; 6.4 Cylindrical Shell Under Axial Compression; 6.5 Construction of the Buckling Modes; 6.6 Problems and Exercises; 7 Semi-momentless Buckling Modes; 7.1 Basic Equations and Boundary Conditions; 7.2 Buckling Modes for a Conic Shell; 7.3 Effect of Initial Membrane Stress Resultants; 7.4 Semi-Momentless Buckling Modes of Cylindrical Shells; 7.5 Problems and Exercises; 8 Effect of Boundary Conditions on Semi-momentless Modes. 8.1 Construction Algorithm for Semi-Momentless Solutions8.2 Semi-Momentless Solutions; 8.3 Edge Effect Solutions; 8.4 Separation of Boundary Conditions; 8.5 The Effect of Boundary Conditions on the Critical Load; 8.6 Boundary Conditions and Buckling of a Cylindrical Shell; 8.7 Conic Shells Under External Pressure; 8.8 Problems and Exercises; 9 Torsion and Bending of Cylindrical and Conic Shells; 9.1 Torsion of Cylindrical Shells; 9.2 Cylindrical Shell under Combined Loading; 9.3 A Shell with Non-Constant Parameters Under Torsion; 9.4 Bending of a Cylindrical Shell. Shells (Engineering) http://id.loc.gov/authorities/subjects/sh85121307 Buckling (Mechanics) http://id.loc.gov/authorities/subjects/sh85017438 Asymptotic expansions. http://id.loc.gov/authorities/subjects/sh85009056 Coques (Ingénierie) Flambage (Résistance des matériaux) Développements asymptotiques. shell structures. aat warping (structural change) aat buckling. aat TECHNOLOGY & ENGINEERING Structural. bisacsh Asymptotic expansions fast Buckling (Mechanics) fast Shells (Engineering) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85121307 http://id.loc.gov/authorities/subjects/sh85017438 http://id.loc.gov/authorities/subjects/sh85009056 |
| title | Asymptotic methods in the buckling theory of elastic shells / |
| title_auth | Asymptotic methods in the buckling theory of elastic shells / |
| title_exact_search | Asymptotic methods in the buckling theory of elastic shells / |
| title_full | Asymptotic methods in the buckling theory of elastic shells / Petr E. Tovstik, Andrei L. Smirnov ; edited by Peter R. Frise, Ardeshir Guran. |
| title_fullStr | Asymptotic methods in the buckling theory of elastic shells / Petr E. Tovstik, Andrei L. Smirnov ; edited by Peter R. Frise, Ardeshir Guran. |
| title_full_unstemmed | Asymptotic methods in the buckling theory of elastic shells / Petr E. Tovstik, Andrei L. Smirnov ; edited by Peter R. Frise, Ardeshir Guran. |
| title_short | Asymptotic methods in the buckling theory of elastic shells / |
| title_sort | asymptotic methods in the buckling theory of elastic shells |
| topic | Shells (Engineering) http://id.loc.gov/authorities/subjects/sh85121307 Buckling (Mechanics) http://id.loc.gov/authorities/subjects/sh85017438 Asymptotic expansions. http://id.loc.gov/authorities/subjects/sh85009056 Coques (Ingénierie) Flambage (Résistance des matériaux) Développements asymptotiques. shell structures. aat warping (structural change) aat buckling. aat TECHNOLOGY & ENGINEERING Structural. bisacsh Asymptotic expansions fast Buckling (Mechanics) fast Shells (Engineering) fast |
| topic_facet | Shells (Engineering) Buckling (Mechanics) Asymptotic expansions. Coques (Ingénierie) Flambage (Résistance des matériaux) Développements asymptotiques. shell structures. warping (structural change) buckling. TECHNOLOGY & ENGINEERING Structural. Asymptotic expansions |
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