Deformation and Vibration of Rods, Plates and Shells
Author | : Anilkumar Chauhan |
Publisher | : |
Total Pages | : 602 |
Release | : 1967 |
Genre | : |
ISBN | : |
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Author | : Anilkumar Chauhan |
Publisher | : |
Total Pages | : 602 |
Release | : 1967 |
Genre | : |
ISBN | : |
Author | : Khanh C. Le |
Publisher | : Springer Science & Business Media |
Total Pages | : 415 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 3642599117 |
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 |
Total Pages | : 594 |
Release | : 2004-08-11 |
Genre | : Mathematics |
ISBN | : 0203026306 |
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 | : G. I. Pshenichnov |
Publisher | : World Scientific |
Total Pages | : 332 |
Release | : 1993 |
Genre | : Technology & Engineering |
ISBN | : 9789810210496 |
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 | : Holm Altenbach |
Publisher | : Springer Nature |
Total Pages | : 470 |
Release | : 2020-06-03 |
Genre | : Science |
ISBN | : 3030474917 |
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 | : Y. Alizadeh |
Publisher | : |
Total Pages | : 490 |
Release | : 1993 |
Genre | : Plates (Engineering) |
ISBN | : |
Author | : Magomed F. Mekhtiev |
Publisher | : Springer |
Total Pages | : 229 |
Release | : 2018-02-02 |
Genre | : Science |
ISBN | : 3319743546 |
This book focuses on the justification and refinement of highly diverse approximate dynamic models for engineering structures arising in modern technology, including high-tech domains involving nano- and meta-materials. It proposes a classification for vibration spectra over a broad frequency domain and evaluates the range of validity of various existing 2D theories for thin-walled shells by comparing them with 3D benchmark solutions. The dynamic equations in 3D elasticity are applied to the analysis of harmonic vibrations in hollow bodies with canonical shapes. New exact homogeneous and inhomogeneous solutions are derived for cylinders, spheres and cones (including spherical and conical layers), as well as for plates of variable thickness. The book includes a wealth of numerical examples, as well as refined versions of 2D dynamic formulations. Boundary value problems for hollow bodies are also addressed.
Author | : Eduard Ventsel |
Publisher | : CRC Press |
Total Pages | : 688 |
Release | : 2001-08-24 |
Genre | : Mathematics |
ISBN | : 9780203908723 |
Presenting recent principles of thin plate and shell theories, this book emphasizes novel analytical and numerical methods for solving linear and nonlinear plate and shell dilemmas, new theories for the design and analysis of thin plate-shell structures, and real-world numerical solutions, mechanics, and plate and shell models for engineering appli
Author | : Štefan Markuš |
Publisher | : |
Total Pages | : 184 |
Release | : 1988 |
Genre | : Science |
ISBN | : |
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 | : |
Publisher | : |
Total Pages | : 460 |
Release | : 1998 |
Genre | : Plates (Engineering) |
ISBN | : |