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 Scientific and Technical Aerospace Reports written by and published by . This book was released on 1973 with total page 234 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 Stability of Nonlinear Shells written by D. Shilkrut and published by Elsevier. This book was released on 2002-06-18 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of NonLinear Shells is a compilation of the author's work on analyzing the behaviour of spherical caps and related shell structures under various (axisymmetric) load systems. Differing from other texts on shells of revolution, it is one of the first attempts to deal with effects of multi-parameter load systems. This extension leads to the discovery of some new, hitherto unknown phenomena exhibited by these structures. In addition, the book presents a novel way to characterize properties of solutions of the governing equations for spherical caps - a classification anchored in a theory called reciprocal systems. The author has introduced a deformation map, a projection of multi-dimensional solutions to two-dimensional graphs, to enable analysts to gain insight into the physical meaning of the results obtained. Numerous examples illustrate the concepts introduced. This book also comes to grips with many misconceptions existing in engineering literature about the question of the stability of solutions.

Download or read book The Effect of Stiffening Shallow Shells of Revolution Subject to Symmetrical Loading written by V. M. Mitkevich and published by . This book was released on 1967 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion is presented of the relationship between the stiffening of shallow shells of revolution by stringers in the meridional direction and the stress and strain states in the shells. The case of a frustum of a conical shell with stiffeners in the longitudinal direction is analyzed. The slope angle of the shell varies from zero to pi/6. The shell is considered structurally orthotropic on the basis of known equilibrium equations (in terms of forces and moments) for an element of an axisymmetric shell, elasticity relationships, and equations for continuity of strains in the middle surface. The problem is reduced to the solution of a system of five regular differential equations. The system was integrated by the numerical Adams method on an Ural-2 electronic digital computer. A standard program developed and the Institute of Mechanics of the Academy of Sciences Ukrainian SSR was utilized. The calculations were carried out for frustums of conical shells of constant thickness (plain and stiffened by constant-cross-section stringers). The bottom base of the shells was fixed; the upper was free. Two cases of loading were considered: constant internal pressure and axial force. The results obtained are plotted in diagrams and compared, and the effects of stiffening on certain stress and strain parameters for various slope angles are discussed. (Author).

Download or read book Nonlinear Theory of Shallow Shells written by Iosif I. Vorovich and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1967 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Differential Equations of the Axisymmetric Vibration of Paraboloidal Shells of Revolution written by James Ting-shun Wang and published by . This book was released on 1967 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Static and Dynamic Analysis of Shells of Revolution Under Axisymmetric Loading written by Sambamurthy Nagarajan and published by . This book was released on 1973 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method of analyzing nonlinear static and dynamic responses of deformable solids has been developed based on an incremental variational formulation using the Lagrangian mode of description. The material nonlinearity due to plasticity or viscoplasticity as well as the geometric nonlinearity due to large displacements are considered. The equations of motion are obtained in a linearized incremental form using the principle of virtual work and solved using step-by-step numerical integration procedures. Equilibrium check is made at the end of each step and the residual forces are added to the next increment for improved accuracy over the pure incremental method. For elastic-plastic solutions the flow theory of plasticity is used along with the von Mises yield condition for isotropically hardening materials. The viscoplastic constitutive theory is also in the form of an associated flow law and capable of considering strain rate sensitive behavior. The viscoplastic strains are taken into account using an initial strain formulation. The discretization of the structure is achieved by the use of degenerate isoparametric finite elements and the computer codes that have been developed are capable of analyzing large axisymmetric deformations of shells of revolution. (Modified author abstract).

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.

Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1966 with total page 1336 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 On the Differential Equations of the Axisymmetric Vibration of Paraboloidal Shells of Revolution written by and published by . This book was released on 1965 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Structural Dynamics written by Henry R. Busby and published by CRC Press. This book was released on 2017-08-15 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural Dynamics: Concepts and Applications focuses on dynamic problems in mechanical, civil and aerospace engineering through the equations of motion. The text explains structural response from dynamic loads and the modeling and calculation of dynamic responses in structural systems. A range of applications is included, from various engineering disciplines. Coverage progresses consistently from basic to advanced, with emphasis placed on analytical methods and numerical solution techniques. Stress analysis is discussed, and MATLAB applications are integrated throughout. A solutions manual and figure slides for classroom projection are available for instructors.

Download or read book Technical Paper Series written by University of Florida. Engineering and Industrial Experiment Station and published by . This book was released on 1966 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: