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Book Free Vibrations of Circular Cylindrical Shells

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.

Book Vibration of Shells

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.

Book Free Vibrations of Circular Cylindrical Shells

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.

Book Free vibrations of circular cylindrical shells

Download or read book Free vibrations of circular cylindrical shells written by Anthony E. Armenakas and published by . This book was released on 1969 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Analysis of Shells  Plates  and Beams

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.

Book Nonlinear Vibrations and Stability of Shells and Plates

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.

Book FREE VIBRATIONS OF CYLINDRICAL SHELLS

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.

Book Vibrations of Circular Cylindrical Shells

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:

Book Free Vibration of Circular Cylindrical Shells of Finite Length

Download or read book Free Vibration of Circular Cylindrical Shells of Finite Length written by Bert Louis Smith and published by . This book was released on 1966 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Vibrations of Shells and Plates

Download or read book Vibrations of Shells and Plates written by Werner Soedel and published by CRC Press. This book was released on 2004-08-11 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its

Book Formulas for Dynamics  Acoustics and Vibration

Download or read book Formulas for Dynamics Acoustics and Vibration written by Robert D. Blevins and published by John Wiley & Sons. This book was released on 2016-05-03 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: With Over 60 tables, most with graphic illustration, and over 1000 formulas, Formulas for Dynamics, Acoustics, and Vibration will provide an invaluable time-saving source of concise solutions for mechanical, civil, nuclear, petrochemical and aerospace engineers and designers. Marine engineers and service engineers will also find it useful for diagnosing their machines that can slosh, rattle, whistle, vibrate, and crack under dynamic loads.

Book On the Nonlinear Free Vibrations of Thin Circular Cylindrical Shells

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).

Book Vibration of Continuous Systems

Download or read book Vibration of Continuous Systems written by Singiresu S. Rao and published by John Wiley & Sons. This book was released on 2019-03-06 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised and up-to-date guide to advanced vibration analysis written by a noted expert The revised and updated second edition of Vibration of Continuous Systems offers a guide to all aspects of vibration of continuous systems including: derivation of equations of motion, exact and approximate solutions and computational aspects. The author—a noted expert in the field—reviews all possible types of continuous structural members and systems including strings, shafts, beams, membranes, plates, shells, three-dimensional bodies, and composite structural members. Designed to be a useful aid in the understanding of the vibration of continuous systems, the book contains exact analytical solutions, approximate analytical solutions, and numerical solutions. All the methods are presented in clear and simple terms and the second edition offers a more detailed explanation of the fundamentals and basic concepts. Vibration of Continuous Systems revised second edition: Contains new chapters on Vibration of three-dimensional solid bodies; Vibration of composite structures; and Numerical solution using the finite element method Reviews the fundamental concepts in clear and concise language Includes newly formatted content that is streamlined for effectiveness Offers many new illustrative examples and problems Presents answers to selected problems Written for professors, students of mechanics of vibration courses, and researchers, the revised second edition of Vibration of Continuous Systems offers an authoritative guide filled with illustrative examples of the theory, computational details, and applications of vibration of continuous systems.