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Influence Of Periodic Axisymmetric Imperfections Of Various Wavelengths On The Buckling Load Of A Cylindrical Shell In Axial Compression
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Book Synopsis Influence of Periodic Axisymmetric Imperfections of Various Wavelengths on the Buckling Load of a Cylindrical Shell in Axial Compression by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Influence of Periodic Axisymmetric Imperfections of Various Wavelengths on the Buckling Load of a Cylindrical Shell in Axial Compression written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1971 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Koiter's well-known buckling analysis of cylindrical shells with periodic axisymmetric imperfections yields a solution which is valid for imperfection of different wavelengths and amplitudes. Numerical calculations were carried out to evaluate several of these cases. Of particular interest are imperfections of the wavelength which are larger than the one considered in Koiter's original analysis. In such cases, the validity of the solution may be extended to imperfection amplitudes of a much larger order of magnitude hitherto considered. The numerical results are plotted and tabulated. A rederivation of Koiter's analysis is added in an appendix together with a brief description of the computational method that was used. (Author).
Book Synopsis The Influence of Periodic Axisymmetric Imperfections of Various Wavelenghts on the Buckling Load of a Cylindrical Shell in Axial Compression by : Eduard Riks
Download or read book The Influence of Periodic Axisymmetric Imperfections of Various Wavelenghts on the Buckling Load of a Cylindrical Shell in Axial Compression written by Eduard Riks and published by . This book was released on 1971 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effect of Axisymmetric Initial Imperfections on the Vibrations of Cylindrical Shells Under Axial Compression by : Aviv Rosen
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).
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 Effect of Initial Axisymmetric Shape Imperfections of the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression by : D.B. Muggeridge
Download or read book The Effect of Initial Axisymmetric Shape Imperfections of the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression written by D.B. Muggeridge and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perturbation Solutions for the Buckling Problem of Axially Compressed Thin Cylindrical Shells by : Stanford University. Department of Aeronautics and Astronautics
Download or read book Perturbation Solutions for the Buckling Problem of Axially Compressed Thin Cylindrical Shells written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1966 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Buckling of Imperfect Cylinders Under Axial Compression by : G. A. Thurston
Download or read book Buckling of Imperfect Cylinders Under Axial Compression written by G. A. Thurston and published by . This book was released on 1966 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effect of a Local Axisymmetric Imperfection on the Buckling Behaviour of a Circular Cylindrical Shell Under Axial Compression by : J. W. Hutchinson
Download or read book The Effect of a Local Axisymmetric Imperfection on the Buckling Behaviour of a Circular Cylindrical Shell Under Axial Compression written by J. W. Hutchinson and published by . This book was released on 1970 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Influence of Asymmetric Imperfections on the Vibrations of Axially Compressed Cylindrical Shells by : Aviv Rosen
Download or read book Influence of Asymmetric Imperfections on the Vibrations of Axially Compressed Cylindrical Shells written by Aviv Rosen and published by . This book was released on 1975 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: The influence of two types of asymmetric initial geometrical imperfections on the vibrations and buckling of axially loaded isotropic cylindrical shells is studied. The analysis is based on a solution of the Karman-Donnell nonlinear shell equations by the Galerkin method. The results indicate that the influence of the initial geometrical imperfections depends strongly on the mode of the initial imperfection and its relation to the mode of vibration. The imperfections may lower or raise the frequency. The buckling loads also depend strongly on the relation between the corresponding modes. In general, a reduction in buckling load is predicted, but in some cases the solution predicts an increase in buckling loads due to imperfections and in certain cases even large bending deformation without buckling.
Book Synopsis The Effect of Initial Axisymmetric Shape Imperfections on the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression by : D. B. Muggeridge
Download or read book The Effect of Initial Axisymmetric Shape Imperfections on the Buckling Behaviour of Circular Cylindrical Shells Under Axial Compression written by D. B. Muggeridge and published by . This book was released on 1969 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effect of Initial Imperfections on the Buckling Stress of Cylindrical Shells by : Charles D. Babcock
Download or read book The Effect of Initial Imperfections on the Buckling Stress of Cylindrical Shells written by Charles D. Babcock and published by . This book was released on 1963 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Influence of Imperfections and Edge Restraint on the Buckling of Axially Compressed Cylinders by : Bo O. Almroth
Download or read book Influence of Imperfections and Edge Restraint on the Buckling of Axially Compressed Cylinders written by Bo O. Almroth and published by . This book was released on 1966 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent investigations on the influence of edge conditions on the critical axial load of cylindrical shells are extended here to include cylinders with elastic edge restraint. It is shown that weak edge conditions are unlikely to affect the critical load significantly in experiments or in practice. Also the effects of symmetric initial imperfections were investigated. The critical load for cylinders with initial imperfections in the form of a cosine function was found to be somewhat lower than was indicated in a previous analysis by Koiter. The analysis also disclosed that very short cylinders would not be sensitive to the types of imperfections which were considered. A few tests were performed and their results tend to support this conclusion.
Book Synopsis Experimental Investigation of the Effect of General Imperfections on the Buckling of Cylindrical Shells by : Johann Arbocz
Download or read book Experimental Investigation of 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 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Influence of Initial Geometric Imperfections on the Buckling and Postbuckling Behavior of Fiber-reinforced Cylinderical Shells Under Uniform Axial Compression by : N. S. Khot
Download or read book On the Influence of Initial Geometric Imperfections on the Buckling and Postbuckling Behavior of Fiber-reinforced Cylinderical Shells Under Uniform Axial Compression written by N. S. Khot and published by . This book was released on 1968 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effect of initial geometric imperfections on the buckling and postbuckling behavior of composite cylindrical shells subjected to uniform axial compression is studied in this report. The solution is obtained by employing von Karman-Donnell nonlinear strain-displacement relations and the principle of stationary potential energy. Numerical results are given for various fiber orientations in the three-layer shell consisting of either glass-epoxy or boron-epoxy composites, with different initial imperfections. Results indicate that the boron-epoxy composite shells are less imperfection sensitive than the glass-epoxy composite shells. Isotropic shells are found to be more imperfection sensitive than composite shells. It is noticed that the increase or decrease in the classical buckling load with change in fiber orientation is generally accompanied by a decrease or increase in imperfection sensitivity of the shell.
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 Buckling of Imperfect Stiffened Cylindrical Shells Under Axial Compression by : Josef Singer
Download or read book Buckling of Imperfect Stiffened Cylindrical Shells Under Axial Compression written by Josef Singer and published by . This book was released on 1970 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Axial buckling tests on machined integrally stiffened cylindrical shells were carried out. Complete mappings of the shell imperfections and the prebuckling growth were obtained. The lightly ring-stiffened shells behaved in a manner similar to the isotropic shells that were previously tested. For these shells, the predominant prebuckling deformation consisted of a half-wave in the axial direction with several circumferential waves. The similarity of the lightly ring-stiffened shells and the isotropic ones suggests that the uniqueness of the buckling mode for stiffened shells may not greatly influence the prebuckling behavior. The heavily ring-stiffened shells showed a sizable amount of short wave length axisymmetric growth before buckling. Buckling in all cases resulted in an asymmetric pattern. The stringer-stiffened shells showed a prebuckling behavior also similar to the isotropic results. However, the buckling pattern consisted of longer axial wave lengths. Correlation of the experimentally obtained buckling loads with linear buckling theory showed good agreement in most cases. (Author).
Book Synopsis Buckling Under Axial Compression of Long Cylindrical Shells with Random Axisymmetric Imperfections by : John Chukwuemeka Amazigo
Download or read book Buckling Under Axial Compression of Long Cylindrical Shells with Random Axisymmetric Imperfections written by John Chukwuemeka Amazigo and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
