Download or read book Natural Vibrations of Anisotropic Thin Circular Cylindrical Shells written by Mark Victor Rahner and published by . This book was released on 1984 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The natural modes and frequencies of vibration of anisotropic thin circular cylindrical shells are investigated by means of two finite element analyses and an experimental analysis. Boundary conditions corresponding to clamped and/or free ends are considered. Important conclusions regarding mode shape geometry are drawn from a consideration of the rotational symmetry. The first finite element model separates a mode shape's axial and circumferential dependences yielding an extremely efficient formulation in terms of generalized coordinates which are functions only of the axial coordinate. The second model uses a more conventional finite element approach, representing cylindrical shells with shell elements derived from a modified Hellinger-Reissner variational-principle. The two theoretical models are compared to one another, and to a previous investigation of isotropic tubes. This comparison suggests that the first model is approximately an order of magnitude more efficient, and slightly more accurate, than the conventional approach. Two clamped-free [+- 4 5/02]s graphite/epoxy cylinders of different radii were tested experimentally. The results compared very favorably with solutions from the first finite element
Download or read book Free Vibrations of Circular Cylindrical Shells written by Anthony E. Armenàkas and published by Elsevier. This book was released on 2013-10-22 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free Vibrations of Circular Cylindrical Shells deals with thin-walled structures that undergo dynamic loads application, thereby resulting in some vibrations. Part I discusses the treatment of problems associated with the propagation of plane harmonic waves in a hollow circular cylinder. In such search for solutions, the text employs the framework of the three-dimensional theory of elasticity. The text explains the use of tables of natural frequencies and graphs of representative mode shapes of harmonic elastic waves bounding in an infinitely long isotropic hollow cylinder. The tables are found to be useful as they can be used to check validity and provide estimates of the range of applicability of various shell theories. The purpose of the frequency equation and that of the numerical computations likewise are considered. The book includes a computer program written in the FORTRAN language to show how it is used in the computations, except in cases when H (the thickness of shell) and L (axial half of wavelength) result in extremely small values. Part II consists of related tables and graphs. Physicists, engineers, students, and researchers in advanced sciences will find this book of interest.
Download or read book FREE VIBRATIONS OF CYLINDRICAL SHELLS written by V. I. Petrov and published by . This book was released on 1968 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: General analysis of free vibration of closed circular cylindrical shells is based on fundamental relationships taken from the theories of shells. The shells are radially supported at their faces. The effect of terms usually neglected in equations of shell motion on frequency is discussed. The simplifying assumptions concerning shell behavior which are associated with these terms are examined for a wide range of variations in shell geometry. Expressions are extended for free vibration of orthogonally anisotropic shells, and a formula for their natural frequencies is obtained. Two-layer shells stiffened by stringers and transverse frames and sandwich shells are analyzed as particular cases.
Download or read book Analysis of Shells Plates and Beams written by Holm Altenbach and published by Springer Nature. This book was released on 2020-06-03 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Download or read book Vibration of Shells written by Arthur W. Leissa and published by . This book was released on 1973 with total page 450 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 Free Vibrations of an Anisotropic Circular Cylindrical Shell written by Christopher A. Fisher and published by . This book was released on 1992 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Recent Developments in Anisotropic Heterogeneous Shell Theory written by Alexander Ya. Grigorenko and published by Springer. This book was released on 2016-06-02 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models. Further, it examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells obtained by the refined model. The book investigates the stress-strain state and free vibrations of finite-length cylinders in spatial formulation (3D elasticity theory). Further, it analyzes the influence of geometrical and mechanical parameters, of boundary conditions, and of the loading character on both the distributions of stress and displacement fields, and on the dynamical characteristics in these shells and cylinders. Lastly, it discusses in detail the validation of reliability for the results obtained by numerical calculations. As such, it complements the first part of the book, the volume Recent Developments in Anisotropic Heterogeneous Shell Theory: Applications of Refined and Three-dimensional Theory.
Download or read book Vibrations of Shells and Plates written by Werner Soedel and published by . This book was released on 1981 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Mode Interaction for Thin Imperfect Anisotropic Circular Cylindrical Shells Under Different Loading Conditions written by Ronald Peter Notenboom and published by . This book was released on 2006 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notes on Vibrations of Thin Pressurized Cylindrical Shells written by E. Reissner and published by . This book was released on 1955 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report states the equations which govern vibrations of thin, circular cylindrical shells which are subjected to pressurization. The basic assumptions are: (1) Pressurization is of such magnitude as to eliminate wall bending as a significant stiffness element. (2) Deflections are small enough to allow use of a linearized system of equations. (3) Material of the walls is isotropic and obeys Hooke's law. On the basis of the stated system of differential equations, a solution of the vibration problem is given for an infinite shell.
Download or read book Vibrational Characteristics of Some Thin walled Cylindrical and Conical Frustum Shells written by Jerry D. Watkins and published by . This book was released on 1965 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Free Virbrations of Thin Circular Cylindrical Shells with Exponential Wall Thickness written by Jean Maxime José Jullienne and published by . This book was released on 1965 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non Linear Dynamic Problems for Composite Cylindrical Shells written by A. Bogdanovich and published by CRC Press. This book was released on 1993-08-12 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph will be valuable for English-speaking scientists wanting to know more about the state-of-the-art in Russian research on non-linear shell theory. It will also be of value to all materials scientists concerned with the use and behaviour of composite materials in structural applications.
Download or read book Free Vibration Characteristics of Orthotropic Thin Circular Cylindrical Shells written by M. Darvizeh and published by . This book was released on 1986 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vibration of Multi layered Anisotropic Cylindrical Shells written by Vincent X. Kunukkasseril and published by . This book was released on 1967 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study on the vibration of multi-layered anisotropic cylindrical shells is presented on the basis of Kirchhoff-Love theory of thin shells. The displacement equations of motion for multi-layered shells with layers having one plane of elastic symmetry parallel to the reference surface are developed. These equations are subsequently used to investigate flexural and extensional vibration of infinite and finite shells with anisotropic layers. Frequency equations for inextensional vibration of layered anisotropic shells are obtained by considering the kinetic and potential energies of the vibrating shell. Also, it is shown that the equations of the layered shell can be reduced to the case of a single layer helically stiffened shell. Numerical examples are considered for illustrating the significance of various types of vibration, as well as to show the effect of rotation of principal axes of stiffness of the layers on the frequencies. Frequencies for various types of vibration of a 3-layered shell and for helically stiffened shell are presented in the form of curves and tables. (Author).
Download or read book Vibration of Hollow Cylindrical Shells with Partial Constrained Layer Damping written by Nathan E. Smith and published by . This book was released on 2004 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A theoretical analysis is presented for determining the natural frequencies and damping factors for isotropic circular cylindrical shell type structures. Equations of motion for a cylindrical shell and a three-layer cylindrical shell fully and partially treated, with a vicsoelastic core, are derived from equilibrium. The assumed mode method or Galerkin method are used to find the equivalent mass and stiffness matrices from which the natural frequencies can then be obtained. The effects on the natural frequency and damping factor due to various viscoelastic core thicknesses, viscoelastic shear moduli, constraining layer thickness, constraining layer Young's moduli, and viscoelastic coverage length are discussed. The results reveal for the cylinder studied, that an optimal coverage length exists for achieving maximum damping, along with an optimal viscoelastic shear modulus"--Abstract.
Download or read book Anisotropic Doubly Curved Shells written by Francesco Tornabene and published by Società Editrice Esculapio. This book was released on 2019-11-01 with total page 1199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are developed to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are presented, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. Finally, two numerical techniques, named Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are developed to deal with multi-element domains characterized by arbitrary shapes and discontinuities.
