Thin Elastic Shells
Author | : Harry Kraus |
Publisher | : |
Total Pages | : 504 |
Release | : 1967 |
Genre | : Elastic plates and shells |
ISBN | : |
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Author | : Harry Kraus |
Publisher | : |
Total Pages | : 504 |
Release | : 1967 |
Genre | : Elastic plates and shells |
ISBN | : |
Author | : Harry Kraus |
Publisher | : |
Total Pages | : 0 |
Release | : 1967 |
Genre | : |
ISBN | : |
Author | : P. E. Tovstik |
Publisher | : World Scientific |
Total Pages | : 359 |
Release | : 2001 |
Genre | : Technology & Engineering |
ISBN | : 9810247265 |
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.
Author | : Ch. M. Muštari |
Publisher | : |
Total Pages | : 374 |
Release | : 1957 |
Genre | : |
ISBN | : |
Author | : Reinhold Kienzler |
Publisher | : Springer Science & Business Media |
Total Pages | : 258 |
Release | : 2013-06-01 |
Genre | : Science |
ISBN | : 3540399054 |
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.
Author | : J. D. Kaplunov |
Publisher | : Academic Press |
Total Pages | : 241 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0123975905 |
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.
Author | : A. L. Gol'Denveizer |
Publisher | : Elsevier |
Total Pages | : 681 |
Release | : 2014-05-15 |
Genre | : Technology & Engineering |
ISBN | : 1483164624 |
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.
Author | : Kh M. Mushtari |
Publisher | : |
Total Pages | : 746 |
Release | : 1957 |
Genre | : |
ISBN | : |
Author | : John Edward Gibson |
Publisher | : |
Total Pages | : 202 |
Release | : 1965 |
Genre | : Elastic plates and shells |
ISBN | : |
Author | : M. Dikmen |
Publisher | : Pitman Advanced Publishing Program |
Total Pages | : 384 |
Release | : 1982 |
Genre | : Elastic plates and shells |
ISBN | : |