Download or read book Statistical Methods in the Nonlinear Theory of Elastic Shells written by Vladimir Vasilʹevich Bolotin and published by . This book was released on 1962 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Methods in the Nonlinear Theory of Elastic Shells written by V.V. Bolotin and published by . This book was released on 1962 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Methods in Nonlinear Theory of Elastic Shells with Lists of References written by and published by . This book was released on 1962 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Methods in the Non linear Theory of Elastic Shells written by V. V. Bolotin and published by . This book was released on 1960 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: The correct solution of the problem of hazardous loads may be obtained only by means of statistical methods. The considerable discrepancy between the experimental values of the critical loads is explained by the fact that the value of the latter is very sensitive to initial deformations, defects in the preparation and attachment, and to non-uniformities of loading, etc. In turn, the factors mentioned have an accidental character and are subject to some statistical laws. Knowing the laws of the distribution of these accidental factors, one can establish laws of the distribution of the parameters characteristic of the deformed state of the shell. The problem of the engineering calculation of the shell is then reduced to the determination of the load values at which the probability of 'buckling' (or of the hazardous state determined in any arbitrary sense) does not exceed some previously established value for a given construction. The statistical approach serves also as a basis for the correct interpretation of the experimental results and of the tabulation of the results of different authors.
Download or read book The Nonlinear Theory of Elastic Shells written by A. Libai and published by Elsevier. This book was released on 2012-12-02 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nonlinear Theory of Elastic Shells: One Spatial Dimension presents the foundation for the nonlinear theory of thermoelastic shells undergoing large strains and large rotations. This book discusses several relatively simple equations for practical application. Organized into six chapters, this book starts with an overview of the description of nonlinear elastic shell. This text then discusses the foundation of three-dimensional continuum mechanics that are relevant to the shell theory approach. Other chapters cover several topics, including birods, beamshells, and axishells that begins with a derivation of the equations of motion by a descent from the equations of balance of linear and rotational momentum of a three-dimensional material continuum. This book discusses as well the approach to deriving complete field equations for one- or two-dimensional continua from the integral equations of motion and thermodynamics of a three-dimensional continuum. The final chapter deals with the analysis of unishells. This book is a valuable resource for physicists, mathematicians, and scientists.
Download or read book Geometric Method for Stability of Non Linear Elastic Thin Shells written by Jordanka Ivanova and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: PREFACE This book deals with the new developments and applications of the geometric method to the nonlinear stability problem for thin non-elastic shells. There are no other published books on this subject except the basic ones of A. V. Pogorelov (1966,1967,1986), where variational principles defined over isometric surfaces, are postulated, and applied mainly to static and dynamic problems of elastic isotropic thin shells. A. V. Pogorelov (Harkov, Ukraine) was the first to provide in his monographs the geometric construction of the deformed shell surface in a post-critical stage and deriving explicitely the asymptotic formulas for the upper and lower critical loads. In most cases, these formulas were presented in a closed analytical form, and confirmed by experimental data. The geometric method by Pogorelov is one of the most important analytical methods developed during the last century. Its power consists in its ability to provide a clear geometric picture of the postcritical form of a deformed shell surface, successfully applied to a direct variational approach to the nonlinear shell stability problems. Until now most Pogorelov's monographs were written in Russian, which limited the diffusion of his ideas among the international scientific community. The present book is intended to assist and encourage the researches in this field to apply the geometric method and the related results to everyday engineering practice.
Download or read book NASA Technical Translation written by and published by . This book was released on 1966 with total page 1086 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Note written by and published by . This book was released on 1962 with total page 1094 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non linear Theory of Thin Elastic Shells written by Kh. M. Mushtari and published by . This book was released on 1961 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Collected Papers on Instability of Shell Structures 1962 written by Langley Research Center and published by . This book was released on 1962 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Nonlinear Theory of Elastic Shells written by Avinoam Libai and published by . This book was released on 1988 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Collected Papers on Instability of Shell Structure 1962 written by and published by . This book was released on 1962 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Nonlinear Theory of Elastic Shells written by A. Libai and published by Cambridge University Press. This book was released on 1998-02-13 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elastic shells are pervasive in everyday life. Examples of these thin-walled structures range from automobile hoods to basketballs, veins and arteries, and soft drink cans. This book explains shell theory, with numerous examples and applications. This second edition not only brings all the material of the first edition entirely up to date; it also adds two entirely new chapters on general shell theory and general membrane theory. Aerospace, mechanical, and civil engineers, as well as applied mathematicians, will find this book a clearly written and thorough information source on shell theory.
Download or read book Collected Papers on Instability of Shell Structures 1962 written by NASA Symposium on Instability of Shell Structures and published by . This book was released on 1962 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Shells written by Philippe G. Ciarlet and published by Elsevier. This book was released on 2000-05-11 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of Volume III is to lay down the proper mathematical foundations of the two-dimensional theory of shells. To this end, it provides, without any recourse to any a priori assumptions of a geometrical or mechanical nature, a mathematical justification of two-dimensional nonlinear and linear shell theories, by means of asymptotic methods, with the thickness as the "small" parameter.
Download or read book Non linear Theory of Thin Elastic Shells written by Ch. M. Muštari and published by . This book was released on 1957 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Resolution Of The Twentieth Century Conundrum In Elastic Stability written by Isaac E Elishakoff and published by World Scientific. This book was released on 2014-05-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been stability theories developed for beams, plates and shells — the most significant elements in mechanical, aerospace, ocean and marine engineering. For beams and plates, the theoretical and experimental values of buckling loads are in close vicinity. However for thin shells, the experimental predictions do not conform with the theory, due to presence of small geometric imperfections that are deviations from the ideal shape.This fact has been referred to in the literature as ‘embarrassing’, ‘paradoxical’ and ‘perplexing’. Indeed, the popular adage, “In theory there is no difference between theory and practice. In practice there is”, very much applies to thin shells whose experimental buckling loads may constitute a small fraction of the theoretical prediction based on classical linear theory; because in practice, engineers use knockdown factors that are not theoretically substantiated.This book presents a uniform approach that tames this prima-donna-like and capricious behavior of structures that has been dubbed the ‘imperfection sensitivity’ — thus resolving the conundrum that has occupied the best minds of elastic stability throughout the twentieth century.
