The Mechanics Of Vibrations Of Cylindrical Shells PDF Download
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| Author | : Štefan Markuš |
| Publisher | : |
| Total Pages | : 184 |
| Release | : 1988 |
| Genre | : Elastic plates and shells |
| ISBN | : |
Download The Mechanics of Vibrations of Cylindrical Shells Book in PDF, ePub and Kindle
The primary aim of this book is to give the reader an insight into the mechanics of vibrations of cylindrical shells, rather than to present him with a method for straightforward eigendata calculations. The contents are laid out phenomenologically. The first chapter conveys an elementary idea on the elastic strain in a thin shell, arising from the so-called membrane theory, the limitations of this theory are assessed with a clear physical interpretation of its drawbacks. The main emphasis of the book lies in the second chapter, where the reader will find a rigorous interpretation of the fundamental aspects of the so-called bending theory of shells. The major part of this chapter is devoted to thin-shell deformation theories. The solution of the exact equations of dynamic equilibrium that can be derived by the underlying linear theory of mathematical elasticity is discussed in the third chapter. The fourth chapter is an extension of the original Slovak version of this book. New research data in the field of vibrations of shell-like structures are presented mainly for layered shells. A simple mathematical approach is used throughout the book.
| Author | : Arthur W. Leissa |
| Publisher | : |
| Total Pages | : 438 |
| 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 | : 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 | : 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 | : 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
| Author | : H. H. Bleich |
| Publisher | : |
| Total Pages | : 52 |
| Release | : 1952 |
| Genre | : Differential equations |
| ISBN | : |
Download Free and Forced Vibrations of an Infinitely Long Cylindrical Shell in an Infinite Acoustic Medium Book in PDF, ePub and Kindle
A method is presented which permits the determination of the frequencies of vibrations of infinitely long thin cylindrical shells in an acoustic medium. Expressions are obtained for the displacements of the shell and for the pressures in the medium in the case of forced vibrations due to sinusoidally distributed radial forces. The results indicate that there is a low-frequency range, where no radiation takes place, and a high-frequency range where the external force provides energy which is radiated. Resonance occurs in the low-frequency range only; in the high-frequency range it is prevented by the damping due to radiation. Free and forced vibrations of steel shells submerged in water are discussed; with limitations, the theory may be applied approximately to stiffened shells. The method requires only a minor modification to account for the effect of static pressure in the surrounding medium. The treatment of transient problems is also considered. If high-frequency terms occur in the force, or shock effects are wanted within a short time after the application of the force, a treatment using solely modes of vibration of the submerged structure would be incomplete, as additional terms occur in the solution. As an alternative approach, the modes of free vibration of the structure may be used as generalized coordinates which fully describe the response of the structure but leave the medium to be treated, by means of the differential equations for the potential or in any other way desired.
| Author | : Khanh C. Le |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3642599117 |
Download Vibrations of Shells and Rods Book in PDF, ePub and Kindle
Intended for engineers who deal with vibrations of rods and shells in their everyday practice but who also wish to understand the subject from the mathematical point-of-view, the results contained here concerning high-frequency vibrations may be new to many. The book serves equally well as an advanced textbook, while remaining of interest to mathematicians who seek applications of the variational and asymptotic methods in elasticity and piezoelectricity. Only a minimum knowledge in advanced calculus and continuum mechanics is assumed on the part of the reader.
| 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 | : Arthur W. Leissa |
| Publisher | : |
| Total Pages | : 440 |
| Release | : 1973 |
| Genre | : Shells (Engineering) |
| ISBN | : |
Download Vibration of Shells Book in PDF, ePub and Kindle
| Author | : Burak Ustundag |
| Publisher | : |
| Total Pages | : 106 |
| Release | : 2011 |
| Genre | : |
| ISBN | : |
Download On the Free Vibration Behavior of Cylindrical Shell Structures Book in PDF, ePub and Kindle
Shell structures, especially cylindrical shells, are widely used in aerospace and naval architectural industries. Submarine hulls and aircraft bodies can be idealized as cylindrical shell structures. The study of vibrations of cylindrical shells is an important aspect in the successful applications of the cylindrical shells. The free vibration characteristics of a submarine hull have an important influence on the noise signature of the submarine. That makes the free vibration problem of the submarine hull a particular interest for the submarine community. The natural frequencies of cylindrical shells are clustered in a very narrow band and they are thus more prone to becoming involved in resonant vibrations. The determination and control of these frequencies is significant to manage the acoustic signature of the submarine. This thesis focuses on the free vibration characteristics of stiffened and unstiffened cylindrical shells. The analysis is carried out mainly in two parts. First, the unstiffened cylindrical shell is modeled and the free vibration problem is analyzed as the shell thickness decreases. Then the cylindrical shell is stiffened with ring stiffeners and the free vibration problem of the stiffened cylindrical shell is studied. The vibration modes of the unstiffened cylindrical shell are studied for four shells with different thicknesses. Initial tensile and compressive membrane stresses are applied separately to the shells to study the effect of the initial stresses on the free vibration modes. The vibration modes of the stiffened cylindrical shell are studied in two steps. First, the influence of the positions of two ring stiffeners on the fundamental frequencies is studied; second, the free vibration modes of the stiffened cylindrical shell are studied. Two cylindrical shells with different thicknesses are used and they are stiffened with different numbers of ring stiffeners, which are uniformly distributed along the longitudinal axis of the shell. The results are compared with available analytical results and finite element solutions of similar problems from the literature.
