[PDF] Vibrations Of Shells And Rods eBook

Author : Khanh C. Le
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 34,6 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 3642599117

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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 : Khanh Chau Le
Publisher : Springer
Page : 423 pages
File Size : 40,68 MB
Release : 2012-01-05
Category : Technology & Engineering
ISBN : 9783642599125

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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 : Werner Soedel
Publisher : CRC Press
Page : 594 pages
File Size : 46,85 MB
Release : 2004-08-11
Category : Mathematics
ISBN : 0203026306

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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 : Arthur W. Leissa
Publisher :
Page : 438 pages
File Size : 35,20 MB
Release : 1973
Category : Government publications
ISBN :

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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 : Hamid R. Hamidzadeh
Publisher : Springer Science & Business Media
Page : 201 pages
File Size : 34,70 MB
Release : 2009-10-22
Category : Technology & Engineering
ISBN : 0387755918

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Due to strong potential applications and more demanding requirements imposed upon long and thick cylindrical structures, there has been increasing research and development activities during recent years in the field of vibration and passive vibration control of these types of structures. An important step in the study of cylindrical structures is the determination of their vibration modal characteristics. This modal information plays a key role in the design and vibration suppression of these structures when subjected to dynamic excitations. Most reported studies on the dynamic response of cylindrical structures have been restricted to the application of the shell theories. These theories are based on a number of simplifying assumptions. The most important of which is, the considered shell must be relatively thin to assume constant stresses within the cylinder. Therefore, due to this limitation, shell theories are inadequate to accurately describe all possible vibration modes in thick cylindrical structures. The primary scope of this book is to address these problems by applying the theory of elasto-dynamics.

Author : G. I. Pshenichnov
Publisher : World Scientific
Page : 332 pages
File Size : 39,55 MB
Release : 1993
Category : Technology & Engineering
ISBN : 9789810210496

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The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider geometrical and physical nonlinearity are employed. A new effective method for solving general boundary value problems and its application for numerical and analytical solutions of mathematical physics and reticulated shell theory problems is described. A new method of solving the shell theory's nonlinear problems, substantially simplifying the existing algorithms is given. Questions of optimum design are discussed. Some of the findings are generalized and extended to edged and composite systems. The results of the solutions of a wide range of pressing problems are presented.

Author : M.B. Rubin
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 45,46 MB
Release : 2013-03-09
Category : Science
ISBN : 9401593795

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This book presents a unified hierarchical formulation of theories for three-dimensional continua, two-dimensional shells, one-dimensional rods, and zero-dimensional points. It allows readers with varying backgrounds easy access to fundamental understanding of these powerful Cosserat theories.

Author : Štefan Markuš
Publisher :
Page : 184 pages
File Size : 45,34 MB
Release : 1988
Category : Elastic plates and shells
ISBN :

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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.