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Structural Dynamic Systems Computational Techniques and Optimization
Computational techniques for the analysis and design of structural dynamic systems using numerical methods have been the focus of an enormous amount of research for several decades. In general, the numerical methods utilized to solve these problems include two phases: (a) spatial discretization by either the finite element method (FEM) or the finite difference method (FDM), and (b) solution of systems of time dependent second-order ordinary differential equations. In addition, the significantly powerful advances in computer systems capabilities have put on the desks of structural systems designers enormous computing power either by means of increasingly effective computer workstations or else through PCs (personal computers), whose increasing power has succeeded in marginalizing the computational power differences between PCs and workstations in many cases. This volume is a comprehensive treatment of the issues involved in computational techniques in structural dynamic systems.
Functionally Graded Materials
Functionally Graded Materials: Analysis and Applications to FGM, FG-CNTRC and FG Porous Structures aims to disseminates knowledge between users, manufacturers, designers, and researchers involved in structures or structural components manufactured using functionally graded materials. Despite a number of existing texts on the theory and analysis of plates and/or shells, there is not a single book that is devoted entirely to the analysis of functionally graded-based materials including FGMs, FG-CNTRCs and FG porous plates and shells. Functionally Graded Materials provides the reader with current research conducted in the field of composite materials, numerical simulations, computer methods and mechanical responses of structural components under different scenarios. This book is a valuable reference source for postgraduate students, engineers, scientists, professors, researchers, and applied mathematicians in this field.
Vibration of Continuous Systems
Broad, up-to-date coverage of advanced vibration analysis by the market-leading author Successful vibration analysis of continuous structural elements and systems requires a knowledge of material mechanics, structural mechanics, ordinary and partial differential equations, matrix methods, variational calculus, and integral equations. Fortunately, leading author Singiresu Rao has created Vibration of Continuous Systems, a new book that provides engineers, researchers, and students with everything they need to know about analytical methods of vibration analysis of continuous structural systems. Featuring coverage of strings, bars, shafts, beams, circular rings and curved beams, membranes, plat...
Mechanics of laminated Composite doubly-curvel shell structures
This manuscript comes from the experience gained over ten years of study and research on shell structures and on the Generalized Differential Quadrature method. The title, Mechanics of Laminated Composite Doubly-Curved Shell Structures, illustrates the theme followed in the present volume. The present study aims to analyze the static and dynamic behavior of moderately thick shells made of composite materials through the application of the Differential Quadrature (DQ) technique. A particular attention is paid, other than fibrous and laminated composites, also to “Functionally Graded Materials” (FGMs). They are non-homogeneous materials, characterized by a continuous variation of the mecha...
Mechanics of Functionally Graded Material Structures
Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at various functionally graded materials, customizing them with various structures. The book is devoted to tailoring material properties to the needed structural performance. The authors pair materials with the appropriate structures based upon their purpose and use.Material grading of structures depending upon thickness, axial and polar directions are discussed. Three dimensional analysis of rectangular plates made of functional graded materials and vibrational tailoring of inhomogeneous beams and circular plates are both covered in great detail. The authors derive novel closed form solutions that can serve as benchmarks that numerical solutions can be compared to. These are published for the first time in the literature. This is a unique book that gives the first exposition of the effects of various grading mechanisms on the structural behavior as well as taking into account vibrations and buckling.
Numerical Solutions for Nanocomposite Structures
Numerical Solutions for Nanocomposite Structures provides an in-depth exploration of structural analysis using numerical methods grounded in rigorous mathematical modeling. Theoretical foundations are established by comprehensively elucidating theories governing beams, plates, and shells, leading to the derivation of governing equations based on the stress–strain relationship. The process of obtaining governing equations through the energy method, application of boundary conditions, and the utilization of numerical methods to calculate deflection, frequency, and buckling loads is meticulously explained, providing readers with valuable insights into structural analysis methodologies. Includes diverse numerical examples involving beams, plates, and pipes, providing a comprehensive understanding of underlying theories and relationships. Provides numerous practical examples demonstrating the application of numerical methods to address challenges in civil and mechanical engineering problems. Discusses the unique mechanical, thermal, and electrical properties of nanocomposites, and how they can be utilized in various industries.
Anisotropic Doubly-Curved Shells
This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Ang...
Vibration and Nonlinear Dynamics of Plates and Shells
This e-book focuses on the vibrational and nonlinear aspects of plate and shell structure dynamics by applying the finite element model. Specifically, shell finite elements employed in the computational studies included in this book are the mixed formulation based lower order flat triangular shell finite elements. Topics in the book are covered over nine chapters, including the theoretical background for the vibration analysis of plates and shells, vibration analysis of plate structures, shells with single curvature, shells with double curvatures, and box structures (single-cell and double-cell) and the theoretical development for the nonlinear dynamic analysis of plate and shell structures....
Generalized Differential and Integral Quadrature
The main aim of this book is to analyze the mathematical fundamentals and the main features of the Generalized Differential Quadrature (GDQ) and Generalized Integral Quadrature (GIQ) techniques. Furthermore, another interesting aim of the present book is to shown that from the two numerical techniques mentioned above it is possible to derive two different approaches such as the Strong and Weak Finite Element Methods (SFEM and WFEM), that will be used to solve various structural problems and arbitrarily shaped structures. A general approach to the Differential Quadrature is proposed. The weighting coefficients for different basis functions and grid distributions are determined. Furthermore, t...
Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application
The mathematical modelling of free and moving boundary problems are an important topic in engineering, industry, technology and theoretical sciences. These models allow us to make calculations involved in phase change transitions of materials due to heat transfer. Boundary layer applications are widespread in research and industry. Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application equips the reader with information about heat transfer problems occurring during phase changes. The book covers several boundary element methods, including methods for phase changes, fixed and moving domains and new approaches. The contents are rounded off with chapters o...
