The Mechanics of Vibrations of Cylindrical Shells PDF Download
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Author: Štefan Markuš
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 184
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Book Description
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: Štefan Markuš
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 184
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Book Description
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:
ISBN:
Category : Government publications
Languages : en
Pages : 438
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Book Description
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
ISBN: 1483158616
Category : Technology & Engineering
Languages : en
Pages : 225
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Book Description
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
ISBN: 3030474917
Category : Science
Languages : en
Pages : 470
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Book Description
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
ISBN: 0203026306
Category : Mathematics
Languages : en
Pages : 594
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Book Description
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: Marco Amabili
Publisher: Cambridge University Press
ISBN: 1139469029
Category : Science
Languages : en
Pages : 391
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Book Description
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.
Author: H. H. Bleich
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 52
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Book Description
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
ISBN: 3642599117
Category : Technology & Engineering
Languages : en
Pages : 415
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Book Description
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
ISBN: 1107129222
Category : Science
Languages : en
Pages : 585
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Book Description
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: Robert D. Blevins
Publisher: John Wiley & Sons
ISBN: 1119038219
Category : Technology & Engineering
Languages : en
Pages : 464
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Book Description
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.
