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Book Buckling of Circular Cylindrical Shell by Displacement Function

Download or read book Buckling of Circular Cylindrical Shell by Displacement Function written by Ching-kuo Chang and published by . This book was released on 1971 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Interaction Between Axisymmetric and Nonsymmetric Creep Buckling of Circular Cylindrical Shells in Axial Compression

Download or read book Interaction Between Axisymmetric and Nonsymmetric Creep Buckling of Circular Cylindrical Shells in Axial Compression written by Ilan M. Levi and published by . This book was released on 1970 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the investigation described in this paper is the study of the effect of very small nonaxisymmetric initial deviations from the exact shape upon the deformations and the critical time of a thin-walled circular cylindrical shell which was manufactured with larger initial deviations of an axisymmetric type. The calculations are carried out in a manner similar to that of a recent paper by the senior author. It is assumed that all the deformations are due to nonlinear steady creep governed by Odqvist's law. In consequence of the nonlinearity of the constitutive equation and the use of three terms in the expressions for the deformations and the stresses the trigonometric calculations become so complicated that they must be carried out by means of the high-speed digital computer. For this purpose use is made of the 'REDUCE' program. It is found that in a particular case the critical time of the shell is reduced to about one-half the original value when one adds to the small axially symmetric component of the initial deviations a nonaxisymmetric component which is ten orders of magnitude smaller. The reduction in critical time is represented by a factor of about 1/15 when the amplitudes of the axisymmetric and nonaxisymmetric initial deviations are equal. (Author).

Book On the Buckling of Circular Cylinders Subjected to Axial Compression

Download or read book On the Buckling of Circular Cylinders Subjected to Axial Compression written by B. O. Almroth and published by . This book was released on 1962 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The postbuckling behavior of a circular cylindrical shell subjected to axial compression is considered. Because of numerical difficulties, previous analyses of this problem have been severely restricted and do not yield quantitatively satisfactory results. The most accurate such analysis gives a minimum postbuckling load that is approximately three times higher than corresponding test values. In the present analysis, the number of free constants in the displacement function has been considerably increased, and the computed minimum postbuckling load is in close agreement with available test results. Additional tests are suggested to support the establishment of a buckling criterion which, together with the presently computed postbuckling curve, could serve as a sound basis for the design of cylinders under axial compression. (Author).

Book Buckling of a Thin walled Circular Cylindrical Shell Heated Along an Axial Strip

Download or read book Buckling of a Thin walled Circular Cylindrical Shell Heated Along an Axial Strip written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1962 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Buckling and Postbuckling of Beams  Plates  and Shells

Download or read book Buckling and Postbuckling of Beams Plates and Shells written by M. Reza Eslami and published by Springer. This book was released on 2017-11-03 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.

Book Buckling of Circular Cylindrical Shells Under External Pressure

Download or read book Buckling of Circular Cylindrical Shells Under External Pressure written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1965 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: A set of uncoupled differential equations of equilibrium based on Sanders' assumptions was developed which includes the effects of the prestresses. Both the Sanderstype equations and Donnell's equations are solved for the buckling pressure of shells under laterial and hydrostatic pressure. It is found that restriction of the axial displacement has considerable influence upon the buckling pressure. Moreover, the more rigorous Sanders-type equations yield lower buckling pressures than Donnell's equations. (Author).

Book Effect of Restricting Buckle Depth in Circular Cylindrical Shells Repeatedly Compressed to the Buckling Limit

Download or read book Effect of Restricting Buckle Depth in Circular Cylindrical Shells Repeatedly Compressed to the Buckling Limit written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1963 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reduction in critical buckling load for a thin-walled cylindrical shell which occurs under repeated compression is a function of the depth to which the buckle is permitted to develop. It shows that a nickel cylinder whose R/t is of the order of 400 does not experience any load reduc tion on repeated load when the buckle depth never exceeds the thickness of the shell, and that buckle depths which are equal to or greater than 2.5t give the same results as are obtained in unrestricted buckling. It proves, too, that by using the method of buckle restriction it is possible to cause a cylindrical shell to buckle uniformly over its entire length. (Author).

Book Buckling of Axially Compressed Circular Cylindrical Shells at Stresses Smaller Than the Classical Critical Value

Download or read book Buckling of Axially Compressed Circular Cylindrical Shells at Stresses Smaller Than the Classical Critical Value written by Nicholas John Hoff and published by . This book was released on 1964 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Closed-form solutions are given of the linear Donnell equations defining the buckling of thin-walled circular cylindrical shells subjected to uniform axial compression. In addition to the classical simple support conditions requiring the vanishing of the radial displacement, the axial bending moment resultant, the axial additional stress and the circumferential displacement, three other, equally justifiable, simple support conditions are defined and studied in the case of the semi-infinite shell. Two of them yield buckling stresses amounting to about one-half the classical critical stress. (Author).

Book On the Buckling of Circular Cylindrical Shells Under External Pressure

Download or read book On the Buckling of Circular Cylindrical Shells Under External Pressure written by Anthony E. Armenàkas and published by . This book was released on 1962 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general bending theory of circular cylindrical shells under the influence of initial stress, established recently by the authors, is employed in re-examining the buckling of such shells under external pressure, and the results are compared to those of previous investigations. Simple but accurate expressions for the buckling pressure applicable to a wide range of shell dimensions are presented. (Author).

Book Elastic Stability of Circular Cylindrical Shells

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 Low Buckling Stresses of Axially Compressed Circular Cylindrical Shells of Finite Length

Download or read book Low Buckling Stresses of Axially Compressed Circular Cylindrical Shells of Finite Length written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1964 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact solutions are derived of the classical differential equations defining the deformations of axially compressed thin-walled circular cylindrical shells. The end conditions along the circular edges are assumed as the vanishing of (1) the radial displacement; (2) of the longitudinal bending moment; (3) of the variation in the axial normal stress, and (4) of the circumferential membrane shear stress. Under these conditions of simple support the critical value of the uniformly distributed axial normal stress is one-half the classical critical value. (Author).

Book Buckling of Thin Shells

Download or read book Buckling of Thin Shells written by Stanford University. Department of Aeronautical Engineering and published by . This book was released on 1961 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Buckling of Bars  Plates  and Shells

Download or read book Buckling of Bars Plates and Shells written by Robert Millard Jones and published by Bull Ridge Corporation. This book was released on 2006 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Effect of Variations in the Creep Exponent N on the Buckling of Circular Cylindrical Shells in Axial Compression

Download or read book The Effect of Variations in the Creep Exponent N on the Buckling of Circular Cylindrical Shells in Axial Compression written by Terence Chase Honikman and published by . This book was released on 1970 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the investigation is to determine the effect of creep on the load carrying capability of axially symmetric circular cylinders when subjected to uniform axial compression. In particular, the effect of variation of the creep exponent in Odgvist's bi-axial creep law for creep, is investigated. The analysis of the problem is undertaken in the cases in which the creep exponent has the value one and five. Closed form analytical results are presented for the cases in which the creep exponent has the value one, three, and five. Two numerical procedures are developed. The first generates the governing equations of the creep problem symbolically, while the second solves these equations. Numerical results are presented for the cases in which the creep exponent has the value three, five, seven, and nine. The numerical results are compared with the analytical results. While the numerical programs offer a means of further extending the range of values of the creep exponent, this is carried out instead by two empirical methods, which are based on the numerical results already obtained. The case in which the creep exponent becomes unbounded is considered analytically. Dimensionless plots of radial displacement versus time are presented for each value of the creep exponent, and for a variety of values of initial imperfections in the shell wall. A simple graphical method is developed by which the plot for any given value of the initial imperfection may be obtained from another similar plot for which the value of the initial imperfection is smaller than the given value. (Author).

Book Imperfections  a Main Contributor to Scatter in Experimental Values of Buckling Load

Download or read book Imperfections a Main Contributor to Scatter in Experimental Values of Buckling Load written by Samuel Carr Durham and published by . This book was released on 1963 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper develops a novel approach for testing cylindrical shells. A method of buckle restriction by an internal mandrel located at a distance of one wall thickness from the surface of the shell is used. By means of this device, it is possible to buckle the shell elastically until the shell is completely filled with buckles. It is shown that the variation of the rate of change in number of buckles as a function of the applied load follows a Gaussian distribution. The mode of the Gaussian curve is located at a load level which agrees very closely with the critical buckling load computed from the classic formula. It is considered that the evidence presented is substantial support for the small displacement theory and a strong indication that buckling takes place first at the weakest section of the shell and that the amount of buckling is a function of the area of weakness. (Author).