Introduction to Finite Elements in Engineering


Book Description

Thoroughly updated with improved pedagogy, the fifth edition of this classic textbook continues to provide students with a clear and comprehensive introduction the fundamentals of the finite element method. New features include enhanced coverage of introductory topics in the context of simple 1D problems, providing students with a solid base from which to advance to 2D and 3D problems; expanded coverage of more advanced concepts, to reinforce students' understanding; over 30 additional solved problems; and downloadable MATLAB, Python, C, Javascript, Fortran and Excel VBA code packages, providing students with hands-on experience, and preparing them for commercial software. Accompanied by online solutions for instructors, this is the definitive text for senior undergraduate and graduate students studying a first course in the finite element method and finite element analysis, and for professional engineers keen to shore up their understanding of finite element fundamentals.




Introduction to Finite Elements in Engineering


Book Description

CD-ROM includes: complete self-contained computer programs with source codes in Visual Basic, Excel-based Visual Basic, MATLAB, QUICKBASIC, FORTRAN, and C.




TEXTBOOK OF FINITE ELEMENT ANALYSIS


Book Description

Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.




NASA Tech Briefs


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Finite Element Methods-(For Structural Engineers)


Book Description

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.




Electronic Design


Book Description




Finite Element Analysis


Book Description

Finite element analysis has become the most popular technique for studying engineering structures in detail. It is particularly useful whenever the complexity of the geometry or of the loading is such that alternative methods are inappropriate. The finite element method is based on the premise that a complex structure can be broken down into finitely many smaller pieces (elements), the behaviour of each of which is known or can be postulated. These elements might then be assembled in some sense to model the behaviour of the structure. Intuitively this premise seems reasonable, but there are many important questions that need to be answered. In order to answer them it is necessary to apply a degree of mathematical rigour to the development of finite element techniques. The approach that will be taken in this book is to develop the fundamental ideas and methodologies based on an intuitive engineering approach, and then to support them with appropriate mathematical proofs where necessary. It will rapidly become clear that the finite element method is an extremely powerful tool for the analysis of structures (and for other field problems), but that the volume of calculations required to solve all but the most trivial of them is such that the assistance of a computer is necessary. As stated above, many questions arise concerning finite element analysis. Some of these questions are associated with the fundamental mathematical formulations, some with numerical solution techniques, and others with the practical application of the method. In order to answer these questions, the engineer/analyst needs to understand both the nature and limitations of the finite element approximation and the fundamental behaviour of the structure. Misapplication of finite element analysis programs is most likely to arise when the analyst is ignorant of engineering phenomena.




Finite Element Method with Applications in Engineering


Book Description

The book explains the finite element method with various engineering applications to help students, teachers, engineers and researchers. It explains mathematical modeling of engineering problems and approximate methods of analysis and different approaches.




The Finite Element Method in Engineering


Book Description

The Finite Element Method in Engineering, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique—an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. Rao shows how to set up finite element solutions in civil, mechanical and aerospace engineering applications. The new edition features updated real-world examples from MATLAB, Ansys and Abaqus, and a new chapter on additional FEM topics including extended FEM (X-FEM). Professional engineers will benefit from the introduction to the many useful applications of finite element analysis. Includes revised and updated chapters on MATLAB, Ansys and Abaqus Offers a new chapter, Additional Topics in Finite Element Method Includes discussion of practical considerations, errors and pitfalls in FEM singularity elements Features a brief presentation of recent developments in FEM including extended FEM (X-FEM), augmented FEM (A-FEM) and partition of unity FEM (POUFEM) Features improved pedagogy, including the addition of more design-oriented and practical examples and problems Covers real-life applications, sample review questions at the end of most chapters, and updated references