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| Author | : Anthony E. Armenàkas |
| Publisher | : Elsevier |
| Total Pages | : 225 |
| Release | : 2013-10-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1483158616 |
Download Free Vibrations of Circular Cylindrical Shells Book in PDF, ePub and Kindle
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.
| Author | : Arthur W. Leissa |
| Publisher | : |
| Total Pages | : 450 |
| Release | : 1973 |
| Genre | : Government publications |
| ISBN | : |
Download Vibration of Shells Book in PDF, ePub and Kindle
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.
| Author | : Sushil Kumar Sharma |
| Publisher | : |
| Total Pages | : 116 |
| Release | : 1971 |
| Genre | : Cylinders |
| ISBN | : |
Download Free Vibrations of Circular Cylindrical Shells Book in PDF, ePub and Kindle
"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.
| Author | : Anthony E. Armenakas |
| Publisher | : |
| Total Pages | : 211 |
| Release | : 1969 |
| Genre | : |
| ISBN | : |
Download Free vibrations of circular cylindrical shells Book in PDF, ePub and Kindle
| Author | : Holm Altenbach |
| Publisher | : Springer Nature |
| Total Pages | : 470 |
| Release | : 2020-06-03 |
| Genre | : Science |
| ISBN | : 3030474917 |
Download Analysis of Shells, Plates, and Beams Book in PDF, ePub and Kindle
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.
| Author | : Holm Altenbach |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2022-12-31 |
| Genre | : Technology & Engineering |
| ISBN | : 9783030871871 |
Download Recent Approaches in the Theory of Plates and Plate-Like Structures Book in PDF, ePub and Kindle
This book presents the various approaches in establishment the basic equations of one- and two-dimensional structural elements. In addition, the boundaries of validity of the theories and the estimation of errors in approximate theories are given. Many contributions contain not only new theories, but also new applications, which makes the book interesting for researcher and graduate students.
| Author | : V. I. Petrov |
| Publisher | : |
| Total Pages | : 22 |
| Release | : 1968 |
| Genre | : |
| ISBN | : |
Download FREE VIBRATIONS OF CYLINDRICAL SHELLS. Book in PDF, ePub and Kindle
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.
| Author | : Marco Amabili |
| Publisher | : Cambridge University Press |
| Total Pages | : 585 |
| Release | : 2018-11 |
| Genre | : Science |
| ISBN | : 1107129222 |
Download Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials Book in PDF, ePub and Kindle
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.
| Author | : Chung Ho |
| Publisher | : |
| Total Pages | : 48 |
| Release | : 1975 |
| Genre | : Shells (Engineering) |
| ISBN | : |
Download Vibrations of Circular Cylindrical Shells Book in PDF, ePub and Kindle
| Author | : Werner Soedel |
| Publisher | : CRC Press |
| Total Pages | : 594 |
| Release | : 2004-08-11 |
| Genre | : Mathematics |
| ISBN | : 0203026306 |
Download Vibrations of Shells and Plates Book in PDF, ePub and Kindle
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
