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Author: Ramón Álvarez Cabal Publisher: Editorial UNED ISBN: 8436268881 Category : Mathematics Languages : en Pages : 326
Book Description
This text is designed for those who already know structural calculation. It starts with the simple exercise of reformulating the direct stiffness method using matrices. The aim is to allow the student to understand the enormous power and generality of the weak formulation for the approximation of strut structure problems by using a formulation which is easy to understand. The correspondence of results of the initial classical formulation with those of the FEM when using linear shape functions and Hermite polynomials allows us to tackle the general formulation of the fundamental concepts of the method more easily. Once the method and the details of its general formulation are understood (although only through its application in a specific structural type), the FEM is presented in a general way, as a procedure for obtaining approximated solutions for partial differential equations. The approaches to field problems and to linear elasticity problems are presented as examples. The method has been now clearly presented and therefore, the selection of the type of element, with the generation of interpolation functions of higher degree and their systematization in element families, can be studied in greater depth. This part finishes with the introduction of the idea of isoparametric transformation that, together with numerical integration, explains the stage of development reached by the method. Finally, the subject relative to plates is dealt with, looking at their specific use as structural elements, and trying to show the difficulty of satisfying the continuity between elements in thin plates, and the shear locking solution in thick plates amongst other things
Author: Ramón Álvarez Cabal Publisher: Editorial UNED ISBN: 8436268881 Category : Mathematics Languages : en Pages : 326
Book Description
This text is designed for those who already know structural calculation. It starts with the simple exercise of reformulating the direct stiffness method using matrices. The aim is to allow the student to understand the enormous power and generality of the weak formulation for the approximation of strut structure problems by using a formulation which is easy to understand. The correspondence of results of the initial classical formulation with those of the FEM when using linear shape functions and Hermite polynomials allows us to tackle the general formulation of the fundamental concepts of the method more easily. Once the method and the details of its general formulation are understood (although only through its application in a specific structural type), the FEM is presented in a general way, as a procedure for obtaining approximated solutions for partial differential equations. The approaches to field problems and to linear elasticity problems are presented as examples. The method has been now clearly presented and therefore, the selection of the type of element, with the generation of interpolation functions of higher degree and their systematization in element families, can be studied in greater depth. This part finishes with the introduction of the idea of isoparametric transformation that, together with numerical integration, explains the stage of development reached by the method. Finally, the subject relative to plates is dealt with, looking at their specific use as structural elements, and trying to show the difficulty of satisfying the continuity between elements in thin plates, and the shear locking solution in thick plates amongst other things
Author: BENITO MUÑOZ, Juan José Publisher: Editorial UNED ISBN: 8436280113 Category : Mathematics Languages : en Pages : 400
Book Description
This book presents an introduction to the Finite Element Method (FEM) and is primarily aimed at students, engineers and scientists who already know structural calculation. It starts from the matrix reformulation of the direct stiffness method to understand the enormous potential of introducing the idea of the weak formulation for the approximation of strut structure problems. The correspondence of results between the initial classical formulation and that of the FEM when using linear shape functions and Hermite polynomials, makes it possible to approach its general formulation more easily as a procedure to obtain approximate solutions of differential equations in partial derivatives. It is essential now to introduce the idea of element, which allows, from the definition of a reduced number of base functions and through a simple combination process, to approximate its real behavior and, through superposition, that of the structure.
Author: J. S. Przemieniecki Publisher: Courier Corporation ISBN: 9780486649481 Category : Technology & Engineering Languages : en Pages : 502
Book Description
This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elasticity, energy theorems, structural idealization, a comparison of force and displacement methods, analysis of substructures, structural synthesis, nonlinear structural analysis, and other topics. 1968 edition.
Author: Jacek Leskow Publisher: Springer Science & Business Media ISBN: 3540284443 Category : Business & Economics Languages : en Pages : 397
Book Description
New Tools of Economic Dynamics gives an introduction and overview of recently developed methods and tools, most of them developed outside economics, to deal with the qualitative analysis of economic dynamics. It reports the results of a three-year research project by a European and Latin American network on the intersection of economics with mathematical, statistical, and computational methods and techniques. Focusing upon the evolution and manifold structure of complex dynamic phenomena, the book reviews and shows applications of a variety of tools, such as symbolic and coded dynamics, interacting agents models, microsimulation in econometrics, large-scale system analysis, and dynamical systems theory. It shows the potential of a comprehensive analysis of growth, fluctuations, and structural change along the lines indicated by pioneers like Harrod, Haavelmo, Hicks, Goodwin, Morishima, and it highlights the explanatory power of the qualitative approach they initiated.
Author: William McGuire Publisher: Wiley ISBN: 9780471129189 Category : Technology & Engineering Languages : en Pages : 480
Book Description
Entire book and illustrative examples have been edited extensively, and several chapters repositioned. * Imperial units are used instead of SI units in many of the examples and problems, particularly those of a nonlinear nature that have strong implications for design, since the SI system has not been fully assimilated in practice.
Author: Eugenio Oñate Publisher: Springer Science & Business Media ISBN: 1402087330 Category : Technology & Engineering Languages : en Pages : 495
Book Description
STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 1 : The Basis and Solids Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results. The book will be useful for students approaching the finite element analysis of structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis. STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 2: Beams, Plates and Shells Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials. The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.
Author: Erdogan Madenci Publisher: Springer ISBN: 1489975500 Category : Technology & Engineering Languages : en Pages : 664
Book Description
This textbook offers theoretical and practical knowledge of the finite element method. The book equips readers with the skills required to analyze engineering problems using ANSYS®, a commercially available FEA program. Revised and updated, this new edition presents the most current ANSYS® commands and ANSYS® screen shots, as well as modeling steps for each example problem. This self-contained, introductory text minimizes the need for additional reference material by covering both the fundamental topics in finite element methods and advanced topics concerning modeling and analysis. It focuses on the use of ANSYS® through both the Graphics User Interface (GUI) and the ANSYS® Parametric Design Language (APDL). Extensive examples from a range of engineering disciplines are presented in a straightforward, step-by-step fashion. Key topics include: • An introduction to FEM • Fundamentals and analysis capabilities of ANSYS® • Fundamentals of discretization and approximation functions • Modeling techniques and mesh generation in ANSYS® • Weighted residuals and minimum potential energy • Development of macro files • Linear structural analysis • Heat transfer and moisture diffusion • Nonlinear structural problems • Advanced subjects such as submodeling, substructuring, interaction with external files, and modification of ANSYS®-GUI Electronic supplementary material for using ANSYS® can be found at http://link.springer.com/book/10.1007/978-1-4899-7550-8. This convenient online feature, which includes color figures, screen shots and input files for sample problems, allows for regeneration on the reader’s own computer. Students, researchers, and practitioners alike will find this an essential guide to predicting and simulating the physical behavior of complex engineering systems."
Author: Ramón Álvarez Cabal
Author: Ramón Álvarez Cabal
Author: BENITO MUÑOZ, Juan José 
Author: J. S. Przemieniecki
Author: Library of Congress
Author: Jacek Leskow
Author: William McGuire
Author: Eugenio Oñate
Author: F.K. Kong
Author: Library of Congress
Author: Erdogan Madenci