Download or read book Axisymmetric Deformation of Thin Shallow Elastic Spherical Shells with Surface Constraints written by Richard Hubert Fashbaugh and published by . This book was released on 1969 with total page 144 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 1980 with total page 1280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Axisymmetric Vibrations of Thin Shallow Viscoelastic Spherical Shells written by P. N. Naghdi and published by . This book was released on 1959 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Axisymmetric Vibrations of Shallow Elastic Spherical Shells written by A. Kalnins and published by . This book was released on 1959 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Small Elastic Deformations of Thin Shells written by P. Seide and published by Springer. This book was released on 1975-05-31 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade or so the theory of shells has undergone a tremendous increase in development. Formerly a subject of interest only to a few special ists and for which the literature was relatively smalI, the needs of structures for aerospace missions instigated a torrent of papers on all facets of the theory which also found application in the less glamorous earthbound shell struc tures important in everyday life. Some idea of the rapidity of the development can be gained from the fact that a bibliography* completed in 1953 listed some 1455 books and papers as the sum total ofthe literature on shell theory to that date. Three years later, however, a supplementt added another 884 papers to the list, an increase of 60 per cent in that short period of time. The number of papers published since these listings has increased to an extent that does not bear contemplation. Obviously no single volume could contain all that constitutes the theory of shells and so this book is restricted to that portion of the theory associated with small deformations of elastic shells. Plastic deformations of shells, which is hardly developed, and nonlinear deformations and stability, which would require at least aseparate volume, are thus excluded. Even with this restriction, however, the present volume represents a long overdue compro mise between completeness and finiteness. In making this compromise I have undoubtedly omitted discussions of many topics and references to many excellent papers which should have been included.
Download or read book On the Equations for Axisymmetric Deformation of Shallow Shells of Revolution written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1966 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equations governing the axisymmetric deformation of shallow shells (caps) of revolution are derived without introducing the simplifying assumption concerning the transverse shear force that is basic to the Mushtari-Vlasov approximation of thin shell theory. The equations derived are then specialized for the case of shallow spherical caps and compared with the Reissner equation which is a special case of the Mushtari-Vlasov approximation. Two problems are solved and the results are compared with the corresponding solutions of the Reissner equation. (Author).
Download or read book The Axisymmetric Buckling of Initially Imperfect Complete Spherical Shells written by Tatsuzo Koga and published by . This book was released on 1968 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theoretical investigation of the axisymmetric buckling of complete thin-walled spherical shells under uniform external pressure is undertaken to determine the effect of axisymmetric initial imperfections. In the analysis, the complete spherical shell is divided into two parts; the shallow cap in which the initial imperfection exists, and the remaining portion of the shell most of which deforms in simple contraction. The rotation of the meridian of the cap is assumed in the form of a polynomial function. Four matching conditions are enforced at the juncture of the cap and remainder. The total potential energy of the complete spherical shell is minimized in accordance with the Rayleigh-Ritz approximation method. Two types of initial imperfections are studied; one is an axisymmetric dimple, and the other is a spherical region whose radius of curvature is greater than that of the perfect spherical shell. The maximal values of the pressure parameter rho in the equilibrium state before snap-through were calculated for various values of the geometric parameter lambda, which is proportional to the angular extent of the imperfection for a given radius-to-thickness ratio, and the imperfection amplitude parameter delta, which is the ratio of the initial deviation of the shell mid-surface at the axis of rotation to the wall-thickness. The results of numerical computations show that for all values of delta the lowest buckling pressure is reached when lambda is about 4. (Author).
Download or read book Finite Axisymmetric Deformation and Asymmetric Buckling of Truncated Spherical Shells written by M. T. Wu and published by . This book was released on 1969 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper is concerned with the theoretical study of buckling of truncated spherical shells. Sander's nonlinear equations for deep shells are used and equations of equilibrium are expressed in terms of displacements for spherical shells. Based on these equations, analyses are made for calculating prebuckling axisymmetric equilibrium positions and then examining these equilibrium states for points of bifurcation into asymmetric buckling deformations. An eigenvalue problem is formulated and the buckling loads for truncated spherical shells of different geometrical parameters are obtained numerically. The numerical results both for the prebuckling axisymmetric deformations and the points of bifurcation for the asymmetric buckling are plotted in figures. (Author).
Download or read book Axisymmetric Shallow Loading of Thin Spherical Shells written by H. E. Williams and published by . This book was released on 1961 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1977 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Stability of Shallow Spherical Shells Under Concentrated Load written by F. A. Penning and published by . This book was released on 1965 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thin Elastic Shells written by Harry Kraus and published by . This book was released on 1967 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Determination of Stresses and Displacements for Unsymmetrical Deformation of Shallow Spherical Shells written by Eric Reissner and published by . This book was released on 1957 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report is concerned with problems of bending of thin, elastic, shallow spherical shells of uniform thickness. Explicit expressions are derived, in terms of stress function and axial displacement component, for radial and circumferential displacement components. It is shown that certain uni-valued portions of the solution for stress function and axial displacement components give rise to multi-valued expressions for radial and circumferential displacement components. A new type of solution of the differential equations is derived which is multi-valued insofar as the stress function is concerned but given uni-valued expressions for all quantities which should be uni-valued. It is shown that this type of solution is needed for the analysis of problems for which a resultant side force is acting along the edge of a symmetrical circular boundary of the shell. The nature and form of this side-force solution differs in important respects from the corresponding known solution for the case of a flat plate. No direct transition is possible from the shell solution to the corresponding flat-plate solution. As a specific application, a shell is considered which is supported at its outer edge and which has a small symmetrical rigid insert.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1973 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ASME 66 APM EE written by Wilfred Edmund Baker and published by . This book was released on 1966 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Axisymmetric Vibrations of Thin Shallow Viscoelastic Spherical Shells written by Paul Mansour Naghdi and published by . This book was released on 1959 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Flexible Shells written by E. L. Axelrad and published by Springer. This book was released on 1984-08 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euromech-Colloquium Nr. 165 The shell-theory development has changed its emphasis during the last two decades. Nonlinear problems have become its main motive. But the analysis was until recently predominantly devoted to shells designed for strength and stiffness. Nonlinearity is here relevant to buckling, to intensively vary able stress states. These are (with exception of some limit cases) covered by the quasi-shallow shell theory. The emphasis of the nonlinear analysis begins to shift further - to shells which are designed for and actually capable of large elastic displacements. These shells, used in industry for over a century, have been recently termedj1exible shells. The European Mechanics Colloquium 165. was concerned with the theory of elastic shells in connection with its applications to these shells. The Colloquium was intended to discuss: 1. The formulations of the nonlinear shell theory, different in the generality of kine matic hypothesis, and in the choice of dependent variables. 2. The specialization of the shell theory for the class of shells and the respective elastic stress states assuring flexibility. 3. Possibilities to deal with the complications of the buckling analysis of flexible shells, caused by the precritial perturbations of their shape and stress state. 4. Methods of solution appropriate for the nonlinear flexible-shell problems. 5. Applications of the theory. There were 71 participants the sessions were presided over (in that order) by E. Reissner, J. G. Simmonds, W. T. Koiter, R. C. Tennyson, F. A. Emmerling, E. Rarnm, E. L. Axelrad.
