Engineering Computation Of Structures The Finite Element Method

This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems. Readers of this text are encouraged to discover the proper relationship between theory and practice, within the finite element method: Practice without theory is blind, but theory without practice is sterile. Beginning with elasticity basic concepts and the classical theories of stressed materials, the work goes on to apply the relationship between forces, displacements, stresses and strains on the process of modeling, simulating and designing engineered technical systems. Chapters discuss the finite element equations for static, eigenvalue analysis, as well as transient analyses. Students and practitioners using commercial FEM software will find this book very helpful. It uses straightforward examples to demonstrate a complete and detailed finite element procedure, emphasizing the differences between exact and numerical procedures.

About the Book: The book presents the basic ideas of the finite element method so that it can be used as a textbook in the curriculum for undergraduate and graduate engineering courses. In the presentation of fundamentals and derivations care had been taken not to use an advanced mathematical approach, rather the use of matrix algebra and calculus is made. Further no effort is being made to include the intricacies of the computer programming aspect, rather the material is presented in a manner so that the readers can understand the basic principles using hand calculations. However, a list of computer codes is given. Several illustrative examples are presented in a detailed stepwise manner to explain the various steps in the application of the method. A fairly comprehensive references list at the end of each chapter is given for additional information and further study. About the Author: Wail N. Al-Rifaie is Professor of Civil Engineering at the University of Technology, Baghdad, Iraq. He obtained his Ph.D. from the University College, Cardiff, U.K. in 1975. Dr. Wail established the Civil Engineering Department at the Engineering College in Baghdad and was the Head for nearly seven years. He received the Telford Premium Prize from the Institution of Civil Engineering (London) in 1976. His main areas of research are: Box girder bridge, folded plate structures, frames and shear walls including dynamic analysis. He is the author of three books on structural analysis in Arabic. Ashok K. Govil is Professor in the Department of Applied Mechanics, Motilal Nehru Regional Engineering College, Allahabad, India and was also Head of the same department for over five years. He obtained B.E. degree in Civil Engineering (1963) from BITS, Pilani, India, and M.S. (1969) and Ph.D., (1977) from the University of Iowa, Iowa City, U.S.A. Dr. Govil`s main areas of research are: Optimal design of structures, fail-safe design of structures, and finite element method. He has written several research papers and technical reports, and developed many computer programmes for optimal design of structures including dynamic analysis and vulnerability reduction.

Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.

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.

The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book’s content to enable clearer development of the finite element method, with major new chapters and sections added to cover: Weak forms Variational forms Multi-dimensional field problems Automatic mesh generation Plate bending and shells Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development. Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience. Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms.

This book provides a solid introduction to the foundation and the application of the finite element method in structural analysis. It offers new theoretical insight and practical advice. This second edition contains additional sections on sensitivity analysis, on retrofitting structures, on the Generalized FEM (X-FEM) and on model adaptivity. An additional chapter treats the boundary element method, and related software is available at www.winfem.de.

From the preface: "The advent of computers has opened new horizons in the field of engineering design. In the realm of analysis for engineering design the finite element method has emerged as a powerful tool for modeling and analysis of solids and structures of complex geometries and variable material properties in many areas of engineering design such as machine components, pressure vessels, nuclear reactors, off-shore structures, steel and concrete buildings, bridges, towers, automobile components, turbine parts, power plant structures, etc. The text-book literature on the finite element method exists at an introductory level through the new and more advanced level of simple applications. Modeling and analysis of practical problems continue to be developed and published in technical journals. Developments are also taking place in the use of artificial intelligence techniques in expert systems to advise the analysts on the choice of the elements, type of analysis, discretization, etc. for solving complicated problems. It is essential to periodically synthesize all the developments on the finite element method and its applications to practical problems of engineering design and also to identify the future areas of research both in the domains of academic research and industrial applications. Keeping this in mind an advanced study institute was organized at Indian Institute of Technology, Madras, India during Aug. 1-10, 1988. This volume contains lecture notes prepared by the invited lecturers attending the Advanced Study Institute. It should serve as a ready reference to researchers and practitioners engaged in the finite-element analysis related to engineering design in several disciplines."

Finite Element Analysis of Solids and Structures combines the theory of elasticity (advanced analytical treatment of stress analysis problems) and finite element methods (numerical details of finite element formulations) into one academic course derived from the author’s teaching, research, and applied work in automotive product development as well as in civil structural analysis. Features Gives equal weight to the theoretical details and FEA software use for problem solution by using finite element software packages Emphasizes understanding the deformation behavior of finite elements that directly affect the quality of actual analysis results Reduces the focus on hand calculation of property matrices, thus freeing up time to do more software experimentation with different FEA formulations Includes chapters dedicated to showing the use of FEA models in engineering assessment for strength, fatigue, and structural vibration properties Features an easy to follow format for guided learning and practice problems to be solved by using FEA software package, and with hand calculations for model validation This textbook contains 12 discrete chapters that can be covered in a single semester university graduate course on finite element analysis methods. It also serves as a reference for practicing engineers working on design assessment and analysis of solids and structures. Teaching ancillaries include a solutions manual (with data files) and lecture slides for adopting professors.