Theories And Applications Of Plate Analysis
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Author | : Rudolph Szilard |
Publisher | : John Wiley & Sons |
Total Pages | : 1062 |
Release | : 2004-01-02 |
Genre | : Technology & Engineering |
ISBN | : 9780471429890 |
This book by a renowned structural engineer offers comprehensive coverage of both static and dynamic analysis of plate behavior, including classical, numerical, and engineering solutions. It contains more than 100 worked examples showing step by step how the various types of analysis are performed.
Author | : K. Bhaskar |
Publisher | : Springer Nature |
Total Pages | : 282 |
Release | : 2021-05-07 |
Genre | : Science |
ISBN | : 3030694240 |
This book covers the essentials of developments in the area of plate structures and presents them so that the readers can obtain a quick understanding and overview of the subject. Several theoretical models are employed for their analysis and design starting from the classical thin plate theory to alternatives obtained by incorporation of appropriate complicating effects or by using fundamentally different assumptions. The book includes pedagogical features like end-of-chapter exercises and worked examples to help students in self-learning. The book is extremely useful for the senior undergraduate and postgraduate students of aerospace engineering and mechanical engineering.
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 | : Reinhold Kienzler |
Publisher | : Springer Science & Business Media |
Total Pages | : 258 |
Release | : 2013-06-01 |
Genre | : Science |
ISBN | : 3540399054 |
Plate and shell theories experienced a renaissance in recent years. The potentials of smart materials, the challenges of adaptive structures, the demands of thin-film technologies and more on the one hand and the availability of newly developed mathematical tools, the tremendous increase in computer facilities and the improvement of commercial software packages on the other caused a reanimation of the scientific interest. In the present book the contributions of the participants of the EUROMECH Colloquium 444 "Critical Review of the Theories of Plates and Shells and New Applications" have been collected. The aim was to discuss the common roots of different plate and shell approaches, to review the current state of the art, and to develop future lines of research. Contributions were written by scientists with civil and mechanical engineering as well as mathematical and physical background.
Author | : Eduard Ventsel |
Publisher | : CRC Press |
Total Pages | : 683 |
Release | : 2001-08-24 |
Genre | : Mathematics |
ISBN | : 0203908724 |
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 applications. It includes computer processes for finite difference, finite element, boundary element, and boundary collocation methods as well as other variational and numerical methods. It also contains end-of-chapter examples and problem/solution sets, a catalog of solutions for cylindrical and spherical shells, and tables of the most commonly used plates and shells.
Author | : Rudolph Szilard |
Publisher | : Prentice Hall |
Total Pages | : 746 |
Release | : 1973 |
Genre | : Plates (Engineering). |
ISBN | : |
Author | : J. N. Reddy |
Publisher | : CRC Press |
Total Pages | : 568 |
Release | : 1999-02-10 |
Genre | : Technology & Engineering |
ISBN | : 9781560327059 |
This text presents a complete treatment of the theory and analysis of elastic plates. It provides detailed coverage of classic and shear deformation plate theories and their solutions by analytical as well as numerical methods for bending, buckling and natural vibrations. Analytical solutions are based on the Navier and Levy solution method, and numerical solutions are based on the Rayleigh-Ritz methods and finite element method. The author address a range of topics, including basic equations of elasticity, virtual work and energy principles, cylindrical bending of plates, rectangular plates and an introduction to the finite element method with applications to plates.
Author | : Victor Birman |
Publisher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2011-07-20 |
Genre | : Technology & Engineering |
ISBN | : 9400717156 |
Plate structures are used in almost every area of engineering, including aerospace and naval architecture, civil engineering, and electronics. These structures have diverse geometries and have to withstand a wide range of loading conditions. This book provides the theoretical foundations of the theories of plates manufactured from various materials, outlines and illustrates the methods used for the analysis of these structures, and emphasizes designs and solution techniques available to an engineer. The book is written for engineers working in industry, graduate students at aerospace, mechanical, civil engineering and naval architecture departments, and investigators interested in the development of the theory of plates and related subjects. While the mathematical modeling employed in the book is understandable to both engineers and graduate students, the book also provides insight into relevant phenomena and theories underlying plate structures. Thus, the reader is equipped with a thorough understanding of the problems and appropriate assumptions, even if the analysis is conducted using commercially available software codes. In addition, the book includes numerous analytical solutions that can confidently be used in the design of plate structures. The combination of theoretical insight and references to practical problems makes the book equally attractive to academia and industry.
Author | : Holm Altenbach |
Publisher | : Springer |
Total Pages | : 293 |
Release | : 2016-08-09 |
Genre | : Science |
ISBN | : 3319422774 |
The book presents mathematical and mechanical aspects of the theory of plates and shells, applications in civil, aero-space and mechanical engineering, as well in other areas. The focus relates to the following problems:• comprehensive review of the most popular theories of plates and shells,• relations between three-dimensional theories and two-dimensional ones,• presentation of recently developed new refined plates and shells theories (for example, the micropolar theory or gradient-type theories),• modeling of coupled effects in shells and plates related to electromagnetic and temperature fields, phase transitions, diffusion, etc.,• applications in modeling of non-classical objects like, for example, nanostructures,• presentation of actual numerical tools based on the finite element approach.
Author | : V. Panc |
Publisher | : Springer Science & Business Media |
Total Pages | : 750 |
Release | : 1975-04-30 |
Genre | : Science |
ISBN | : 9789028601048 |
The present monograph deals with refined theories of elastic plates in which both bending and transverse shear effects are taken into account and with some of their applications. Generally these more exact theories result in inte gration problems of the sixth order; consequently, three mutually independent boundary conditions at each edge of the plate are required. This is in perfect agreement with the conclusions of the theory of elasticity. The expressions for shearing forces following from refined theories are then valid for the whole investigated region including its boundary where the corresponding boundary conditions for these shearing forces can be prescribed. Quite different seems to be the situation in the classical Kirchhoff-Love's theory in which the influence of transverse shearing strains is neglected. Owing to this simplification the governing differential equation developed by the classical theory is of the fourth order only; consequently, the number of boundary conditions appurtenant to the applied mode of support appears now to be in disagreement with the order of the valid governing equation. Then, limiting the validity of the expressions for shearing forces to the open region of the middle plane and introducing the notion of the so called fictitious Kirchhoff's shearing forces for the boundary of the plate, three actual boundary conditions at each edge of the plate have to be replaced by two approximate conditions transformed in the Kirchhoff's sense.