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Elastic Stability Of Circular Cylindrical Shells
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Book Synopsis Elastic Stability of Circular Cylindrical Shells by : N. Yamaki
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.
Book Synopsis The Elastic Stability of Circular Cylindrical Shells Under External Pressure by : Luis Enrique Amaya
Download or read book The Elastic Stability of Circular Cylindrical Shells Under External Pressure written by Luis Enrique Amaya and published by . This book was released on 1969 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Stability of Circular Cylindrical Shells Stabilised by a Soft Elastic Core by : W. S. Goree
Download or read book Elastic Stability of Circular Cylindrical Shells Stabilised by a Soft Elastic Core written by W. S. Goree and published by . This book was released on 1962 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Stability of Cylindrical Shells Under External Pressure by : Cary K. K. Mak
Download or read book Elastic Stability of Cylindrical Shells Under External Pressure written by Cary K. K. Mak and published by . This book was released on 1970 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical determination of the nonlinear, large displacement behavior of a complete circular cylindrical thin shell subjected to a uniform radial pressure is presented. By including second order nonlinear terms, the total potential energy of the shell system is minimized by a variation-difference method from which the load-deformation relation of the shell is obtained. The results are compared with existing linear solutions. (Author).
Book Synopsis Asymptotic Methods in the Buckling Theory of Elastic Shells by : P. E. Tovstik
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.
Book Synopsis The Stability Under Axial Compression and Lateral Pressure of Circular-cylindrical Shells with a Soft Elastic Core by : Paul Seide
Download or read book The Stability Under Axial Compression and Lateral Pressure of Circular-cylindrical Shells with a Soft Elastic Core written by Paul Seide and published by . This book was released on 1961 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability under axial compression and lateral pressure of a finite circular-cylindrical shell with an elastic core is treated by means of Donnell's equations. The stability criterion is investigated in detail for the general cylinder under axial compression or lateral pressure and for a particular cylinder under combined loading. Comparisons are made with available experimental data. (Author).
Book Synopsis Theory of Elastic Stability by : Luis A. Godoy
Download or read book Theory of Elastic Stability written by Luis A. Godoy and published by CRC Press. This book was released on 1999-11-01 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems. Emphasis is placed throughout the text on post-buckling analysis and behaviour. The sensitivity of buckling and post-buckling states to changes in design parameters is also discussed as well as changes due to imperfections and damage.
Book Synopsis Perplexing Behavior of Thin Cylindrical Shells in Axial Compression by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Perplexing Behavior of Thin Cylindrical Shells in Axial Compression written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1966 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Resolution Of The Twentieth Century Conundrum In Elastic Stability by : Isaac E Elishakoff
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.
Book Synopsis The Elastic Stability of Composite Cylindrical Shells Under Combined Torsional and Axial Loading by : Jeffrey Dale Hayes
Download or read book The Elastic Stability of Composite Cylindrical Shells Under Combined Torsional and Axial Loading written by Jeffrey Dale Hayes and published by . This book was released on 1986 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Simplified Method of Elastic-stability Analysis for Thin Cylindrical Shells by : S. B. Batdorf
Download or read book A Simplified Method of Elastic-stability Analysis for Thin Cylindrical Shells written by S. B. Batdorf and published by . This book was released on 1947 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equation for the equilibrium of cylindrical shells introduced by Donnell in NACA Report No. 479 to find the critical stresses of cylinders in torsion is applied to find critical stresses for cylinders with simply supported edges under other loading conditions. It is shown that by this method solutions may be obtained very easily and the results in each case may be expressed in terms of two nondimensional parameters, one dependent on the critical stress and the other essentially determined by the geometry of the cylinder. The influence of boundary condtions realted to edge displacements in the shell median surface is discussed. The accuracy of the shell median surface is discussed. The accuracy of the solutions found is established by comparing them with previous theoretical solutions solutions and with test results.
Book Synopsis The Effect of Axial Constraint on the Instability of Thin Circular Cylindrical Shells Under Uniform Axial Compression by : Josef Singer
Download or read book The Effect of Axial Constraint on the Instability of Thin Circular Cylindrical Shells Under Uniform Axial Compression written by Josef Singer and published by . This book was released on 1961 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of axial elastic restrain on the instability of a circular cylindrical shell under uniform axial compression is analysed by a Rayleigh Ritz approach within the bounds of linear theory. The effect is calculated for a wide range of parameters and design curves are presented for the percentage increase in critical load. The analysis is carried out for restraints which are active from the beginning of loading and for such which come into action only at the onset of buckling. (Author).
Book Synopsis Handbook of Structural Stability by : George Gerard
Download or read book Handbook of Structural Stability written by George Gerard and published by . This book was released on 1959 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Elastic Thin Shells by : A. L. Gol'Denveizer
Download or read book Theory of Elastic Thin Shells written by A. L. Gol'Denveizer and published by Elsevier. This book was released on 2014-05-15 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Effect of Out-of-roundness on the Elastic Instability Analysis of Thin Circular Cylindrical Shells by : Kenneth Ray White
Download or read book Effect of Out-of-roundness on the Elastic Instability Analysis of Thin Circular Cylindrical Shells written by Kenneth Ray White and published by . This book was released on 1970 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Stability of Cylindrical Shells with Soft Elastic Cores by : Gebran Nizar Karam
Download or read book Elastic Stability of Cylindrical Shells with Soft Elastic Cores written by Gebran Nizar Karam and published by . This book was released on 1994 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elastic Instability of Relatively Thick Circular Cylindrical Shells Subjected to Hydrostatic Pressure by : L. D. Ballow
Download or read book Elastic Instability of Relatively Thick Circular Cylindrical Shells Subjected to Hydrostatic Pressure written by L. D. Ballow and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
