Download or read book The Vibration and Buckling Characteristics of Cylindrical Shells Under Axial Load and External Pressure written by William F. Bozich and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Galerkin method is applied to Flugge's differential equations for the vibration of a cylindrical shell under axial load and external pressure to obtain a 3N x 3N characteristic equation in matrix form. N is the number of terms in the assumed series of displacement functions for the u, v, and w displacements which can be selected to satisfy various boundary conditions. For the freely-supported cylinder, an exact solution exists, and the various assumed modes uncouple reducing the problem to the solution of a 3 X 3 characteristic equation for each mode. The third order characteristic equation for the freely-supported cylinder was solved for a wide range of shell parameters. The natural vibration frequencies and buckling values for axial load and external pressure for all three eigenvalues associated with each mode are presented in a series of figures. The square of the vibration frequency for any mode was found to vary linearly with axial load, and approximately linearly with an external pressure loading with two or more circumferential waves.
Download or read book The Vibration and Buckling Characteristics of Cylindrical Shells Under Axial Load and External Pressure written by William F. Bozich and published by . This book was released on 1967 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Galerkin method is applied to Flugge's differential equations for the vibration of a cylindrical shell under axial load and external pressure to obtain a 3N x 3N characteristic equation in matrix form. N is the number of terms in the assumed series of displacement functions for the u, v, and w displacements which can be selected to satisfy various boundary conditions. For the freely-supported cylinder, an exact solution exists, and the various assumed modes uncouple reducing the problem to the solution of a 3 X 3 characteristic equation for each mode. The third order characteristic equation for the freely-supported cylinder was solved for a wide range of shell parameters. The natural vibration frequencies and buckling values for axial load and external pressure for all three eigenvalues associated with each mode are presented in a series of figures. The square of the vibration frequency for any mode was found to vary linearly with axial load, and approximately linearly with an external pressure loading with two or more circumferential waves.
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 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).
Download or read book Shell Stability Handbook written by L.A. Samuelson and published by CRC Press. This book was released on 2003-09-02 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides engineering tools for the design of shells against buckling. A simplified approach is given in a number of cases which are not addressed in current design codes.
Download or read book A Review of the Literature on the Buckling Characteristics of Conical Shells written by James E. Stocker and published by . This book was released on 1965 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Influence of the Boundary Conditions on the Buckling Load of Cylindrical Shells Under Axial Compression written by Shigeo Kobayashi and published by . This book was released on 1966 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Snap through and Post buckling Behavior of Cylindrical Shells Under the Action of External Pressure written by Henry Louis Langhaar and published by . This book was released on 1957 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1979 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Buckling Characteristics of Thin Cylindrical Shells Subjected to Axial Compression and Internal Pressure written by Jerome J. Connor and published by . This book was released on 1959 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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 Buckling of Composite Cylindrical Shells Under Axial and Radial Loading written by Ming Min Lei and published by . This book was released on 1968 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vibration of Shells written by Arthur W. Leissa and published by . This book was released on 1973 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vibrational characteristics and mechanical properties of shell structures are discussed. The subjects presented are: (1) fundamental equations of thin shell theory, (2) characteristics of thin circular cylindrical shells, (3) complicating effects in circular cylindrical shells, (4) noncircular cylindrical shell properties, (5) characteristics of spherical shells, and (6) solution of three-dimensional equations of motion for cylinders.
Download or read book Buckling of Shells written by Ekkehard Ramm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thin shells are very popular structures in many different branches of engineering. There are the domes, water and cooling towers, the contain ments in civil engineering, the pressure vessels and pipes in mechanical and nuclear engineering, storage tanks and platform components in marine and offshore engineering, the car bodies in the automobile industry, planes, rockets and space structures in aeronautical engineering, to mention only a few examples of the broad spectrum of application. In addition there is the large applied mechanics group involved in all the computational and experimental work in this area. Thin shells are in a way optimal structures. They play the role of·the "primadonnas" among all kinds of structures. Their performance can be extraordinary, but they can also be very sensitive. The susceptibility to buckling is a typical example. David Bushnell says in his recent review paper entitled "Buckling of Shells - Pitfall for DeSigners": "To the layman buckling is a mysterious, perhaps even awe inspiring phenomenon that transforms objects originally imbued with symmetrical beauty into junk".
Download or read book Buckling Characteristics of Thin Cylindrical Shells Subjected to Axial Compression and Internal Pressure written by J. J CONNOR (Jr) and published by . This book was released on 1959 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nonlinear axisymmetric deformation of pressurized cylindrical shells is analyzed and the Tresca Yield Condi tion used to establish a relationship between the limit load, defined as the axial load corresponding to the initiation of plastic action, and the internal pressure. An experimental investigation of the inelastic buckling of pressurized cylinders is also carried out. Both reinforced and unreinforced cylinders are considered; the reinforcement consisted of integral ring stiffeners. The limit load is determined for each of the unreinforced models. Agreement between the theoretical and experimental results (critical stress level and mode of failure) is favorable, indicating that the theory satisfactorily predicts the behavior of axially compressed cylindrical shells for relatively high values of the internal pressure parameter. Finally, the variation of the limiting axial load with internal pressure is evaluated for three cylinders. Comparison with the corresponding elastic buckling curves reveals that, at high values of the internal pressure parameter, plastic buckling will occur at an axial load considerably less than the elastic buckling load. (Author).
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).
