Download or read book Effect of General Shape Imperfections on Stability of Thin Cylindrical Shells written by George Vassilios Palassopoulos and published by . This book was released on 1971 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Effect of General Shape Imperfections on Stability of Thin Cylindrical Shells by George V Palassopoulos written by George V. Palassopoulos and published by . This book was released on 1971 with total page 49 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.

Download or read book Aeroelastic Stability Characteristics of Cylindrical Shells Considering Imperfections and Edge Constraint written by Gerald W. Barr and published by . This book was released on 1968 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent wind tunnel results indicate that the existing cylindrical shell aeroelastic stability theories are generally nonconservative. Therefore, some type of destabilizing mechanism is needed in the present theory to enhance correlation with experiment. In the paper, the dynamic stability behavior of thin circular cylindrical shells subjected to a supersonic flow field is investigated theoretically and compared with existing experimental data. Combined effects of axisymmetric initial geometric imperfections, radial edge constraint, and prestability deformations are considered. The cylinder's motion is described with nonlinear Donnell type shell equations coupled with a linear 'piston theory' aerodynamic approximation. A modal type approach employing Galerkin's approximate technique is used to investigate the dynamic stability about the shell's deformed middle surface. Prestability deformations alone have been shown to have very little influence on the aeroelastic stability behavior of very thin shells. However, with the inclusion of initial imperfections, the combined effect is destabilizing. The resulting aeroelastic stability boundaries correlate quite well with existing experimental data. (Author).

Download or read book Elastic Stability of Circular Cylindrical Shells written by N. Yamaki and published by Elsevier. This book was released on 1984-02-01 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this book is to clarify the whole aspect of the basic problems concerning the elastic stability of of circular cylindrical shells under typical loading conditions. The book deals with buckling, postbuckling and initial postbuckling problems under one of the three fundamental loads, that is, torsion, pressure and compression. The emphases are placed on the accurate analysis and comprehensive numeral results for the buckling problem, experimental verification of the theoretical analysis for the postbuckling problem and clarification of the range of applicability of the perturbation method for the analysis of initial postbuckling behaviors and imperfection sensitivity. The problems under typical combined loads as well as the influence of the contained liquid are also clarified.

Download or read book Asymptotic Methods in the Buckling Theory of Elastic Shells written by P. E. Tovstik and published by World Scientific. This book was released on 2001 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Equations of thin elastic shell theory. 1.1. Elements of surface theory. 1.2. Equilibrium equations and boundary conditions. 1.3. Errors of 2D shell theory of Kirchhoff-Love type. 1.4. Membrane stress state. 1.5. Technical shell theory equations. 1.6. Technical theory equations in the other cases. 1.7. Shallow shells. 1.8. Initial imperfections. 1.9. Cylindrical shells. 1.10. The potential energy of shell deformation. 1.11. Problems and exercises -- 2. Basic equations of shell buckling. 2.1. Types of elastic shell buckling. 2.2. The buckling equations. 2.3. The buckling equations for a membrane state. 2.4. buckling equations of the general stress state. 2.5. Problems and exercises -- 3. Simple buckling problems. 3.1. Buckling of a shallow convex shell. 3.2. Shallow shell buckling modes. 3.3. The non-uniqueness of buckling modes. 3.4. A circular cylindrical shell under axial compression. 3.5. A circular cylindrical shell under external pressure. 3.6. Estimates of critical load. 3.7. Problems and examples -- 4. Buckling modes localized near parallels. 4.1. Local shell buckling modes. 4.2. Construction algorithm of buckling modes. 4.3. Buckling modes of convex shells of revolution. 4.4. Buckling of shells of revolution without torsion. 4.5. Buckling of shells of revolution under torsion. 4.6. Problems and exercises -- 5. Non-homogeneous axial compression of cylindrical shells. 5.1. Buckling modes localized near generatrix. 5.2. Reconstruction of the asymptotic expansions. 5.3. Axial compression and bending of cylindrical shell. 5.4. The influence of internal pressure. 5.5. Buckling of a non-circular cylindrical shell. 5.6. Cylindrical shell with curvature of variable sign. 5.7. Problems and exercises -- 6. Buckling modes localized at a point. 6.1. Local buckling of convex shells. 6.2. Construction of the buckling mode. 6.3. Ellipsoid of revolution under combined load. 6.4. Cylindrical shell under axial compression. 6.5. Construction of the buckling modes. 6.6. Problems and exercises -- 7. Semi-momentless buckling modes. 7.1. Basic equations and boundary conditions. 7.2. Buckling modes for a conic shell. 7.3. Effect of initial membrane stress resultants. 7.4 Semi-momentless buckling modes of cylindrical shells. 7.5. Problems and exercises -- 8. Effect of boundary conditions on semi-momentless modes. 8.1. Construction algorithm for semi-momentless solutions. 8.2. Semi-momentless solutions. 8.3. Edge effect solutions. 8.4. Separation of boundary conditions. 8.5. The effect of boundary conditions on the critical load. 8.6. Boundary conditions and buckling of a cylindrical shell. 8.7. Conic shells under external pressure. 8.8. Problems and exercises -- 9. Torsion and bending of cylindrical and conic shells. 9.1. Torsion of cylindrical shells. 9.2. Cylindrical shell under combined loading. 9.3. A shell with non-constant parameters under torsion. 9.4. Bending of a cylindrical shell. 9.5. The torsion and bending of a conic shell. 9.6. Problems and exercises -- 10. Nearly cylindrical and conic shells. 10.1. Basic relations. 10.2. Boundary problem in the zeroth approximation. 10.3. Buckling of a nearly cylindrical shell. 10.4. Torsion of a nearly cylindrical shell. 10.5. Problems and exercises -- 11. Shells of revolution of negative Gaussian curvature. 11.1. Initial equations and their solutions. 11.2. Separation of the boundary conditions. 11.3. Boundary problem in the zeroth approximation. 11.4. Buckling modes without torsion. 11.5. The case of the neutral surface bending. 11.6. The buckling of a torus sector. 11.7. Shell with Gaussian curvature of variable sign. 11.8. Problems and exercises -- 12. Surface bending and shell buckling. 12.1. The transformation of potential energy. 12.2. Pure bending buckling mode of shells of revolution. 12.3. The buckling of a weakly supported shell of revolution. 12.4. Weakly supported cylindrical and conical shells. 12.5. Weakly supported shells of negative Gaussian curvature. 12.6. Problems and exercises -- 13. Buckling modes localized at an edge. 13.1. Rectangular plates under compression. 13.2. Cylindrical shells and panels under axial compression. 13.3. Cylindrical panel with a weakly supported edge. 13.4. Shallow shell with a weak edge support. 13.5. Modes of shells of revolution localized near an edge. 13.6. Buckling modes with turning points. 13.7. Modes localized near the weakest point on an edge. 13.8. Problems and exercises -- 14. Shells of revolution under general stress state. 14.1. The basic equations and edge effect solutions. 14.2. Buckling with pseudo-bending modes. 14.3. The cases of significant effect of pre-buckling strains. 14.4. The weakest parallel coinciding with an edge. 14.5. Problems and exercises.

Download or read book A Study of the Effects of Geometric Imperfection Upon the Stability Behavior of Cylindrical Shells Under Axial Compression written by Michael Fee Duggan and published by . This book was released on 1971 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Effect of Imperfections on the Buckling of Thin Walled Cylindrical Shells written by Robert L. Ditchey and published by . This book was released on 1973 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bendings of Surfaces and Stability of Shells written by Alekse_ Vasil_evich Pogorelov and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an accessible exposition of the geometric theory of stability of elastic shells, starting from the basic facts of the theory of finite and infinitesimal bendings of surfaces. The author has included a number of new results obtained in recent years. In particular, the complete solution of the problem of stability of spherical shells under an external pressure is contained here without any assumptions regarding the character of buckling. Within the framework of the mathematical model of the phenomenon, the author gives a complete investigation of the loss of stability of a general, strictly convex shell fastened along an edge under external pressure. The author considers the question of the loss of stability of cylindrical shells under axial compression and the effect of various factors on the critical load, among other questions. In contrast to the author's 1967 book on the subject, this work is limited to a relatively small number of classical problems on the loss of stability of shells, but these problems are investigated more thoroughly.

Download or read book Almost Sure Stability of Long Cylindrical Shells with Random Imperfections written by Rena Scher Fersht and published by . This book was released on 1968 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Effects of External Pressure on the Stability of Thin Cylindrical Shells Under Torsion written by George A. Dreibelbies (1LT, USAF.) and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Effect of Axisymmetric Initial Imperfections on the Vibrations of Cylindrical Shells Under Axial Compression written by Aviv Rosen and published by . This book was released on 1973 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vibrations of a cylindrical shell with an axisymmetric initial imperfection and axial preload are studied. Small asymmetric harmonic vibrations are superposed on the basic static axisymmetric equilibrium and the frequency of these vibrations is evaluated. The analysis is based on the nonlinear equations of shallow shell theory, and follows closely an earlier stability investigation by Koiter. The study is restricted to initial imperfections similar to an axisymmetric buckling mode of a perfect cylindrical shell and represents a first approximation only. Such imperfections exhibit a strong influence on the frequency of the vibrations. The possible implications of this effect are discussed. (Author).

Download or read book The Effect of General Imperfections on the Buckling of Cylindrical Shells written by Johann Arbocz and published by . This book was released on 1968 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Effects of Large Deflections and Inital Imperfections on the General Plastic Stability of Circular Cylindrical Shell Reinforced by Closely Spaced Rings Under Hydrostatic Pressure written by S. Wen-jiao and published by . This book was released on 1980 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stability and Imperfection Sensitivity of Anisotropic Cylindrical Shells Under General Boundary Conditions written by A. Romkes and published by . This book was released on 1997 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stability and Vibrations of Thin Walled Composite Structures written by Haim Abramovich and published by Woodhead Publishing. This book was released on 2017-05-29 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability and Vibrations of Thin-Walled Composite Structures presents engineering and academic knowledge on the stability (buckling and post buckling) and vibrations of thin walled composite structures like columns, plates, and stringer stiffened plates and shells, which form the basic structures of the aeronautical and space sectors. Currently, this knowledge is dispersed in several books and manuscripts, covering all aspects of composite materials. The book enables both engineers and academics to locate valuable, up-to-date knowledge on buckling and vibrations, be it analytical or experimental, and use it for calculations or comparisons. The book is also useful as a textbook for advanced-level graduate courses. - Presents a unified, systematic, detailed and comprehensive overview of the topic - Contains contributions from leading experts in the field - Includes a dedicated section on testing and experimental results