Advances In The Mechanics Of Plates And Shells
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Author | : D. Durban |
Publisher | : Springer Science & Business Media |
Total Pages | : 376 |
Release | : 2006-04-11 |
Genre | : Technology & Engineering |
ISBN | : 0306469545 |
The optimal control of flexible structures is an active area of research. The main body of work in this area is concerned with the control of time-dependent displacements and stresses, and assumes linear elastic conditions, namely linear elastic material behavior and small defor- tion. See, e. g. , [1]–[3], the collections of papers [4, 5], and references therein. On the other hand, in the present paper we consider the static optimal control of a structure made of a nonlinear elastic material and und- going large deformation. An important application is the suppression of static or quasi-static elastic deformation in flexible space structures such as parts of satellites by the use of control loads [6]. Solar rad- tion and radiation from other sources induce a temperature field in the structure, which in turn generates an elastic displacement field. The displacements must usually satisfy certain limitations dictated by the allowed working conditions of various orientation-sensitive instruments and antennas in the space vehicle. For example, a parabolic reflector may cease to be effective when undergoing large deflection. The elastic deformation can be reduced by use of control loads, which may be imp- mented via mechanically-based actuators or more modern piezoelectric devices. When the structure under consideration is made of a rubb- like material and is undergoing large deformation, nonlinear material and geometric effects must be taken into account in the analysis.
Author | : Ansel C. Ugural |
Publisher | : CRC Press |
Total Pages | : 592 |
Release | : 2017-10-02 |
Genre | : Science |
ISBN | : 135159866X |
Noted for its practical, accessible approach to senior and graduate-level engineering mechanics, Plates and Shells: Theory and Analysis is a long-time bestselling text on the subjects of elasticity and stress analysis. Many new examples and applications are included to review and support key foundational concepts. Advanced methods are discussed and analyzed, accompanied by illustrations. Problems are carefully arranged from the basic to the more challenging level. Computer/numerical approaches (Finite Difference, Finite Element, MATLAB) are introduced, and MATLAB code for selected illustrative problems and a case study is included.
Author | : Maan H. Jawad |
Publisher | : American Society of Mechanical Engineers |
Total Pages | : 0 |
Release | : 2004 |
Genre | : Plates (Engineering) |
ISBN | : 9780791801994 |
This book is written primarily for professional engineers interested in designing plate and shell structures. It covers basic aspects of theories and gives examples for the design of components due to internal and external loads as well as other loads, such as wind and dead loads. Various derivations are kept relatively simple and the resultant equations are simplified to a level where the engineer can apply them directly to design problems. More elaborate derivations and more general equations can be found in the literature for those interested in a more in-depth knowledge of the theories of plates and shells. The examples given throughout this book are intended to show the engineer the level of analysis needed to achieve a safe design based on a given required degree of accuracy. This book is also appropriate for advanced engineering courses.
Author | : George Z. Voyiadjis |
Publisher | : |
Total Pages | : 313 |
Release | : 1990 |
Genre | : |
ISBN | : 9780444417589 |
Author | : Marco Amabili |
Publisher | : Cambridge University Press |
Total Pages | : 585 |
Release | : 2018-11 |
Genre | : Mathematics |
ISBN | : 1107129222 |
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 | : J. N. Reddy |
Publisher | : CRC Press |
Total Pages | : 858 |
Release | : 2003-11-24 |
Genre | : Science |
ISBN | : 0203502809 |
The second edition of this popular text provides complete, detailed coverage of the various theories, analytical solutions, and finite element models of laminated composite plates and shells. The book reflects advances in materials modeling in general and composite materials and structures in particular. It includes a chapter dedicated to the theory and analysis of laminated shells, discussions on smart structures and functionally graded materials, exercises and examples, and chapters that were reorganized from the first edition to improve the clarity of the presentation.
Author | : Holm Altenbach |
Publisher | : Wiley |
Total Pages | : 320 |
Release | : 2015-04-20 |
Genre | : Science |
ISBN | : 9781119942962 |
Develops new methods to analyse structures using advanced materials by comprehensively analysing existing theories to identify their underlying mathematical foundation. Using a direct approach, Mechanics of plates and shells presents a complete analysis of the various theories of rods, plates, and shells. It contains a systematic deduction of the most widely used classical theories and compares most of the different approaches. Extensive examples are used to explore the possibilities of using advanced materials for rod, plate or shell-like structures, demonstrating the necessity for the use of improved theories. Mechanics of plates and shells will also present the dimension reduction of the three-dimensional theory, showing the transition of both the Cauchy and the Cosserat continuum equations. This allows the estimation of constraints for the application of one- or two-dimensional theories. Comprehensively analyses most widely used methods and explains the foundation of the theories, especially the consequences following from the problem dimension reduction. Covers advanced materials such as composites and functionally graded materials Using examples, demonstrates the need for new and improved theories for advanced materials for rod, plate or shell-like structures.
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 | : 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 | : Erasmo Carrera |
Publisher | : John Wiley & Sons |
Total Pages | : 261 |
Release | : 2011-08-24 |
Genre | : Science |
ISBN | : 1119951127 |
Smart structures that contain embedded piezoelectric patches are loaded by both mechanical and electrical fields. Traditional plate and shell theories were developed to analyze structures subject to mechanical loads. However, these often fail when tasked with the evaluation of both electrical and mechanical fields and loads. In recent years more advanced models have been developed that overcome these limitations. Plates and Shells for Smart Structures offers a complete guide and reference to smart structures under both mechanical and electrical loads, starting with the basic principles and working right up to the most advanced models. It provides an overview of classical plate and shell theories for piezoelectric elasticity and demonstrates their limitations in static and dynamic analysis with a number of example problems. This book also provides both analytical and finite element solutions, thus enabling the reader to compare strong and weak solutions to the problems. Key features: compares a large variety of classical and modern approaches to plates and shells, such as Kirchhoff-Love , Reissner-Mindlin assumptions and higher order, layer-wise and mixed theories introduces theories able to consider electromechanical couplings as well as those that provide appropriate interface continuity conditions for both electrical and mechanical variables considers both static and dynamic analysis accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given as well as solve problems of their own The models currently used have a wide range of applications in civil, automotive, marine and aerospace engineering. Researchers of smart structures, and structural analysts in industry, will find all they need to know in this concise reference. Graduate and postgraduate students of mechanical, civil and aerospace engineering can also use this book in their studies. www.mul2.com