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Thin Elastic Shells

Author: Harry Kraus
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 504

Book Description

Thin Elastic Shells

Author: Harry Kraus
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 504

Book Description

Thin Elastic Shells

Author: Harry Kraus
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description

Non-linear Theory of Thin Elastic Shells

Author: Ch. M. Muštari
Publisher:
ISBN:
Category :
Languages : en
Pages : 374

Book Description

Asymptotic Methods in the Buckling Theory of Elastic Shells

Author: P. E. Tovstik
Publisher: World Scientific
ISBN: 9810247265
Category : Technology & Engineering
Languages : en
Pages : 359

Book Description
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.

Dynamics of Thin Walled Elastic Bodies

Author: J. D. Kaplunov
Publisher: Academic Press
ISBN: 0123975905
Category : Mathematics
Languages : en
Pages : 241

Book Description
This text is a study of the asymptotic approximations of the 3-D dynamical equations of elasticity in the case of thin elastic shells of an arbitrary shape.

Theory of Elastic Thin Shells

Author: A. L. Gol'Denveizer
Publisher: Elsevier
ISBN: 1483164624
Category : Technology & Engineering
Languages : en
Pages : 681

Book Description
Theory of Elastic Thin Shells discusses the mathematical foundations of shell theory and the approximate methods of solution. The present volume was originally published in Russian in 1953, and remains the only text which formulates as completely as possible the different sets of basic equations and various approximate methods of shell analysis emphasizing asymptotic integration. The book is organized into five parts. Part I presents the general formulation and equations of the theory of shells, which are based on the well-known hypothesis of the preservation of the normal element. Part II is devoted to the membrane theory--the most widely used approximate method of analysis of shells that was formulated at approximately the same time as the more general bending theory. In Part III methods of analysis of circular cylindrical shells with the aid of trigonometric series are considered. Part IV is essentially mathematical in character and its purpose is to justify the approximate methods of shell analysis. In Part V approximate methods of analysis of shells are formulated.

Theories of Plates and Shells

Author: Reinhold Kienzler
Publisher: Springer Science & Business Media
ISBN: 3540399054
Category : Science
Languages : en
Pages : 258

Book Description
Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.