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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2001
|
| Schriftenreihe: | Series on stability, vibration, and control of systems. Series A
v. 4 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| 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 buckling of which has some specific features. The buckling modes localized near the weakest lines or points on the neutral surface are constructed, including the buckling modes localized near the weakly supported shell edge. The relations between the buckling modes and bending of the neutral surface are analyzed. Some of the applied asymptotic methods are standard; the others are new and are used for the first time in this book to study thin shell buckling. The solutions obtained in the form of simple approximate formulas complement the numerical results, and permit one to clarify the physics of buckling |
| Beschreibung: | x, 347 p. ill |
| ISBN: | 9789812794567 |
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| 100 | 1 | |a Tovstik, P. E. |e Verfasser |4 aut | |
| 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 |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2001 | |
| 300 | |a x, 347 p. |b ill | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Series on stability, vibration, and control of systems. Series A |v v. 4 | |
| 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 buckling of which has some specific features. The buckling modes localized near the weakest lines or points on the neutral surface are constructed, including the buckling modes localized near the weakly supported shell edge. The relations between the buckling modes and bending of the neutral surface are analyzed. Some of the applied asymptotic methods are standard; the others are new and are used for the first time in this book to study thin shell buckling. The solutions obtained in the form of simple approximate formulas complement the numerical results, and permit one to clarify the physics of buckling | ||
| 650 | 4 | |a Shells (Engineering) | |
| 650 | 4 | |a Buckling (Mechanics) | |
| 650 | 4 | |a Asymptotic expansions | |
| 700 | 1 | |a Smirnov, Andrei L. |d 1956- |e Sonstige |4 oth | |
| 700 | 1 | |a Frise, Peter Richard |d 1958- |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| author | Tovstik, P. E. |
| author_facet | Tovstik, P. E. |
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| dewey-full | 624.1/7762 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 624 - Civil engineering |
| dewey-raw | 624.1/7762 |
| dewey-search | 624.1/7762 |
| dewey-sort | 3624.1 47762 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Bauingenieurwesen |
| format | Electronic eBook |
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| id | DE-604.BV044635623 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812794567 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033595 |
| oclc_num | 1012651157 |
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| owner_facet | DE-92 |
| physical | x, 347 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific Pub. Co. |
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| series2 | Series on stability, vibration, and control of systems. Series A |
| spelling | Tovstik, P. E. Verfasser aut Asymptotic methods in the buckling theory of elastic shells Petr E. Tovstik, Andrei L. Smirnov ; edited by Peter R. Frise, Ardeshir Guran Singapore World Scientific Pub. Co. c2001 x, 347 p. ill txt rdacontent c rdamedia cr rdacarrier Series on stability, vibration, and control of systems. Series A v. 4 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 buckling of which has some specific features. The buckling modes localized near the weakest lines or points on the neutral surface are constructed, including the buckling modes localized near the weakly supported shell edge. The relations between the buckling modes and bending of the neutral surface are analyzed. Some of the applied asymptotic methods are standard; the others are new and are used for the first time in this book to study thin shell buckling. The solutions obtained in the form of simple approximate formulas complement the numerical results, and permit one to clarify the physics of buckling Shells (Engineering) Buckling (Mechanics) Asymptotic expansions Smirnov, Andrei L. 1956- Sonstige oth Frise, Peter Richard 1958- Sonstige oth Guran, A. Sonstige oth Erscheint auch als Druck-Ausgabe 9789810247263 Erscheint auch als Druck-Ausgabe 9810247265 http://www.worldscientific.com/worldscibooks/10.1142/4790#t=toc Verlag URL des Erstveroeffentlichers Volltext |
| spellingShingle | Tovstik, P. E. Asymptotic methods in the buckling theory of elastic shells Shells (Engineering) Buckling (Mechanics) Asymptotic expansions |
| 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) Buckling (Mechanics) Asymptotic expansions |
| topic_facet | Shells (Engineering) Buckling (Mechanics) Asymptotic expansions |
| url | http://www.worldscientific.com/worldscibooks/10.1142/4790#t=toc |
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