Download or read book Nonlinear Free Vibrations of Thin Circular Cylindrical Shells written by Jean Mayers and published by . This book was released on 1970 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report presents the results of a study of the influence of higher order and nonlinear effects on the free vibration behavior of thin, circular cylindrical shells. A recent solution utilizing strain-displacement relations is examined and criticized. A new solution is carried out which removes the basis for criticism and discloses the existence of a nonperiodic vibration behavior, a phenomenon heretofore unknown. Further, solutions are obtained using strain-displacement relations applied to the shell post-buckling problem. The effect of the improved strain-displacement relations in predicting the vibration behavior attendant to a modal shape possessing a small number of circumferential waves is assessed, and recommendations are made for directing future effort on the problem. (Author).
Download or read book On the Nonlinear Free Vibrations of Thin Circular Cylindrical Shells written by J. Mayers and published by . This book was released on 1966 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study was made of the influence of higher-order and nonlinear effects on the free vibration behavior of thin circular cylindrical shells. A recent solution utilizing the Karman-Donnell strain-displacement relations is examined and criticized. A new solution is carried out which removes the basis for criticism and discloses the existence of a nonperiodic vibration behavior, a phenomenon heretofore unknown. Further, solutions are obtained employing the strain-displacement relations deduced by Sanders and applied, in an appropriately modified manner, by Mayers and Rehfield to the shell postbuckling problem. The effect of the improved strain-displacement relations in predicting the vibration behavior, attendant to a modal shape possessing a small number of circumferential waves, is assessed and recommendations are made for directing future effort on the problem. (Author).
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 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 Nonlinear Vibrations and Stability of Shells and Plates written by Marco Amabili and published by Cambridge University Press. This book was released on 2008-01-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
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 Nonlinear Mechanics of Shells and Plates in Composite Soft and Biological Materials written by Marco Amabili and published by Cambridge University Press. This book was released on 2018-11 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides the reader into the modelling of shell structures in applications where advanced composite materials or complex biological materials must be described with great accuracy. A valuable resource for researchers, professionals and graduate students, it presents a variety of practical concepts, diagrams and numerical results.
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 Vibration of Shells written by Arthur W. Leissa and published by . This book was released on 1973 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vibrations of Circular Cylindrical Shells written by Chung Ho and published by . This book was released on 1975 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Influence of Initial Geometric Imperfections on Nonlinear Vibrations of Thin Circular Cylindrical Shells written by D. K. Liu and published by . This book was released on 1985 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Free Vibrations of a Thin walled Circular Cylindrical Shell Subjected to an Initial Static Torque written by Leslie Robert Koval and published by . This book was released on 1961 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thin Plates and Shells written by Eduard Ventsel and published by CRC Press. This book was released on 2001-08-24 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering appli
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 Sushil Kumar Sharma and published by . This book was released on 1971 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In this report bending theory of shells is used to determine the natural frequencies and mode shapes of circular cylindrical shells. The governing eighth-order system of differential equations has been put in a form which is especially suitable for numerical integration and application of different sets of homogeneous boundary conditions. The Holzer method is used to solve the eigenvalue problem. During numerical integration of the differential equations, the exponentially growing solutions are suppressed whenever they become larger than previously selected values. Numerical results are obtained for various shell geometry parameters and for three different sets of homogeneous boundary conditions. These results are compared with the energy method solutions developed by Rayleigh and by Arnold and Warburton. The difference between the results obtained by the numerical integration method and the energy method has been found to be less than 10 percent for all the cases"--Abstract, leaf ii.
Download or read book Nonlinear Flexural Vibrations of Thin walled Circular Cylinders written by David A. Evensen and published by . This book was released on 1967 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
