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Matrix and Finite Element Analyses of Structures

Author : Madhujit Mukhopadhyay

Publisher : Springer Nature

Page : 482 pages

File Size : 41,39 MB

Release : 2022-11-25

Category : Science

ISBN : 3031087240

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Book Description

This textbook has been primarily written for undergraduate and postgraduate engineering students studying the mechanics of solids and structural systems. The content focuses on matrix, finite elements, structural analysis, and computer implementation in a unified and integrated manner. Using classical methods of structural analysis, it discusses matrix and the finite element methods in an easy-to-understand manner. It consists of a large number of diagrams and illustrations for easy understanding of the concepts. All the computer codes are presented in "FORTRAN" AND "C". This textbook is highly useful for the undergraduate and postgraduate engineering students. It also acquaints the practicing engineers about the computer-based techniques used in structural analysis.



An Introduction to Matrix Structural Analysis and Finite Element Methods

Author : Jean H. Prevost

Publisher : World Scientific Publishing Company

Page : 0 pages

File Size : 15,33 MB

Release : 2017

Category : Finite element method

ISBN : 9789813206786

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Book Description

This comprehensive volume is unique in presenting the typically decoupled fields of Matrix Structural Analysis (MSA) and Finite Element Methods (FEM) in a cohesive framework. MSA is used not only to derive formulations for truss, beam, and frame elements, but also to develop the overarching framework of matrix analysis. FEM builds on this foundation with numerical approximation techniques for solving boundary value problems in steady-state heat and linear elasticity. Focused on coding, the text guides the reader from first principles to explicit algorithms. This intensive, code-centric approach actively prepares the student or practitioner to critically assess the performance of commercial analysis packages and explore advanced literature on the subject.





Finite Element Analysis for Composite Structures

Author : L.T. Tenek

Publisher : Springer Science & Business Media

Page : 345 pages

File Size : 25,72 MB

Release : 2013-04-18

Category : Technology & Engineering

ISBN : 9401590443

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Book Description

This book is an adventure into the computer analysis of three dimensional composite structures using the finite element method (FEM). It is designed for Universities, for advanced undergraduates, for graduates, for researchers, and for practising engineers in industry. The text advances gradually from the analysis of simple beams to arbitrary anisotropic and composite plates and shells; it treats both linear and nonlinear behavior. Once the basic philosophy of the method is understood, the reader may expand its application and modify the computer programs to suit particular needs. The book arose from four years research at the University of Stuttgart, Germany. We present the theory and computer programs concisely and systematically so that they can be used both for teaching and applications. We have tried to make the book simple and clear, and to show the underlying physical and mathematical ideas. The FEM has been in existence for more than 50 years. One of the authors, John Argyris, invented this technique in World War II in the course of the check on the analysis of the swept back wing of the twin engined Meteor Jet Fighter. In this work, he also consistently applied matrix calculus and introduced triangular membrane elements in conjunction with two new definitions of triangular stresses and strains which are now known as the component and total measures. In fact, he was responsible for the original formulation of the matrix force and displacement methods, the forerunners of the FEM.



Finite Element Methods-(For Structural Engineers)

Author : Wail N. Al-Rifaie

Publisher : Finite Element Methods

Page : 205 pages

File Size : 32,84 MB

Release : 2008

Category :

ISBN : 8122424104

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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.



Structures: Matrix and Finite Element

Author : Madhujit Mukhopadhyay

Publisher : CRC Press

Page : 440 pages

File Size : 23,53 MB

Release : 1993-01-01

Category : Science

ISBN : 9789054102342

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Book Description

Presents matrix, finite element, computer and structural analysis in a unified and integrated manner. The matrix and finite element techniques are designed for the analysis of large-sized structures.



Structural Analysis with the Finite Element Method. Linear Statics

Author : Eugenio Oñate

Publisher : Springer Science & Business Media

Page : 894 pages

File Size : 16,71 MB

Release : 2013-05-13

Category : Technology & Engineering

ISBN : 1402087438

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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.



An Introduction To Matrix Structural Analysis And Finite Element Methods

Author : Serguei Bagrianski

Publisher : World Scientific Publishing Company

Page : 308 pages

File Size : 43,94 MB

Release : 2017-01-19

Category : Technology & Engineering

ISBN : 9813206802

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Book Description

This comprehensive volume is unique in presenting the typically decoupled fields of Matrix Structural Analysis (MSA) and Finite Element Methods (FEM) in a cohesive framework. MSA is used not only to derive formulations for truss, beam, and frame elements, but also to develop the overarching framework of matrix analysis. FEM builds on this foundation with numerical approximation techniques for solving boundary value problems in steady-state heat and linear elasticity. Focused on coding, the text guides the reader from first principles to explicit algorithms. This intensive, code-centric approach actively prepares the student or practitioner to critically assess the performance of commercial analysis packages and explore advanced literature on the subject.



Matrix Structural Analysis

Author : William McGuire

Publisher : Wiley

Page : 480 pages

File Size : 43,78 MB

Release : 1999-07-30

Category : Technology & Engineering

ISBN : 9780471129189

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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.



Engineering Computation of Structures: The Finite Element Method

Author : Maria Augusta Neto

Publisher : Springer

Page : 325 pages

File Size : 16,14 MB

Release : 2015-09-29

Category : Technology & Engineering

ISBN : 3319177109

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Book Description

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.