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Asymptotic methods in the buckling theory of elastic shells

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Published by World Scientific in Singapore .
Written in English

Subjects:

  • Shells (Engineering),
  • Buckling (Mechanics),
  • Asymptotic expansions.

Book details:

Edition Notes

Bibliography: p. 321-334.

StatementPetr E. Tovstik, Andrei L. Smirnov ; edited by Peter R. Frise, Ardeshir Guran.
SeriesSeries on stability, vibration, and control of systems., v. 4
ContributionsSmirnov, Andrei L., 1956-, Frise, Peter Richard, 1958-, Guran, A.
Classifications
LC ClassificationsTA660.S5 T68 2002
The Physical Object
Paginationx, 347 p. :
Number of Pages347
ID Numbers
Open LibraryOL3581145M
ISBN 109810247265
LC Control Number2002277335
OCLC/WorldCa48793097

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Asymptotic methods in the buckling theory of elastic shells Petr E. Tovstik, Andrei L. Smirnov, Peter Richard Frise, Ardéshir Guran This work contains solutions to the most typical problems of thin elastic shells buckling under conservative loads. ISBN: OCLC Number: Description: x, pages: illustrations ; 23 cm. Contents: Equations of thin elastic shell theory --Basic equations of shell buckling --Simple buckling problems --Buckling modes localized near parallels --Non-homogeneous axial compression of cylindrical shells --Buckling modes localized at a point --Semi-momentless buckling modes. Get this from a library! Asymptotic methods in the buckling theory of elastic shells. [P E Tovstik; Andrei L Smirnov; Peter Richard Frise; A Guran] -- 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. Request PDF | On Jun 1, , T. Atanacković published Book Review: Asymptotic Methods in the Buckling Theory of Elastic Shells. by Petr E. Tovstik and Andrei L. Smirnov | Find, read and cite all.

Buckling of a Shallow Convex Shell. Shallow Shell Buckling Modes. The Non-Uniqueness of Buckling Modes. A Circular Cylindrical Shell Under Axial Compression. A Circular Cylindrical Shell Under External Pressure. Estimates of Critical Load. Problems and Examples. Asymptotic Methods in the Buckling Theory of Elastic Shells Asymptotic Methods in the Buckling Theory of Elastic Shells Asymptotic Methods in the Buckling Theory of Elastic Shells Preface Many publications both in Russia and abroad are devoted to the analysis of the buckling of thin-walled structures, and the solutions.   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.   Book Review: Asymptotic Methods in the Buckling Theory of Elastic Shells. by Petr E. Tovstik and Andrei L. Smirnov Atanacković, T. Abstract. Publication: Zeitschrift Angewandte Mathematik und Mechanik. Pub Date: June DOI: /zamm Author: T. Atanacković.

  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. 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. Any Extension pdf epub djvu fb2 txt rar mobi lit doc rtf azw3. Author: Wojciech Pietraszkiewicz Publisher: CRC Press ISBN: Size: MB Format: PDF, Docs Category: Technology & Engineering Languages: en Pages: View: Get Book. Book Description: Shells are basic structural elements of modern technology. Examples of shell structures include automobile bodies, domes, water and oil tanks, pipelines, ship hulls, aircraft .   Method of constructing a theory of shells Let us proceed to an asymptotic analysis of the functional 1^ in the case of a physically linear material 2U = K (g^+ )2 + 2^i^8vo + (3- 9) 2^ie + 4^lgS'6 Let us introduce the longitudinal and transverse elastic energies by means of the form- ulas ^11 = ""n^,^- U^= U -U^ Simple calculations.