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An Introduction to Matrix Structural Analysis and Finite Element Methods

An Introduction to Matrix Structural Analysis and Finite Element Methods
Author: Jean H Prévost
Publisher: World Scientific Publishing Company
Total Pages: 308
Release: 2017-01-19
Genre:
ISBN: 9813206802

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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. Request Inspection Copy


Matrix and Finite Element Analyses of Structures

Matrix and Finite Element Analyses of Structures
Author: Madhujit Mukhopadhyay
Publisher: Springer Nature
Total Pages: 482
Release: 2022-11-25
Genre: Science
ISBN: 3031087240

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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.


The Finite Element Method

The Finite Element Method
Author: Kenneth Charles Rockey
Publisher: John Wiley & Sons
Total Pages: 264
Release: 1983
Genre: Mathematics
ISBN:

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Theory of Matrix Structural Analysis

Theory of Matrix Structural Analysis
Author: J. S. Przemieniecki
Publisher: Courier Corporation
Total Pages: 502
Release: 1985-01-01
Genre: Technology & Engineering
ISBN: 9780486649481

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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.


Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis
Author: R. K. Livesley
Publisher: Elsevier
Total Pages: 290
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483148912

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Matrix Methods of Structural Analysis, 2nd Edition deals with the use of matrix methods as standard tools for solving most non-trivial problems of structural analysis. Emphasis is on skeletal structures and the use of a more general finite element approach. The methods covered have natural links with techniques for automatic redundant selection in elastic analysis. This book is comprised of 11 chapters and begins with an introduction to the concepts and notation of matrix algebra, along with the value of a systematic approach; structure as an assembly of elements; boundaries and nodes; linearity and superposition; and how analytical methods are built up. The discussion then turns to the variables which form the basis of much of structural analysis, as well as the most important relationships between them. Subsequent chapters focus on the elastic properties of single elements; the equilibrium or displacement method; the equilibrium equations of a complete structure; plastic analysis and design; transfer matrices; and the analysis of non-linear structures. The compatibility or force method is also described. The final chapter considers the limits imposed by the size and accuracy of the computer used in structural analysis and how they can be extended. This monograph will be of interest to structural engineers and students of engineering.


Matrix Structural Analysis

Matrix Structural Analysis
Author: William McGuire
Publisher: Wiley
Total Pages: 480
Release: 1999-07-30
Genre: Technology & Engineering
ISBN: 9780471129189

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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.


Computational Structural Analysis and Finite Element Methods

Computational Structural Analysis and Finite Element Methods
Author: A. Kaveh
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 2013-12-11
Genre: Science
ISBN: 3319029649

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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.


Energy Methods in Structural Mechanics

Energy Methods in Structural Mechanics
Author: Federico Guarracino
Publisher: Thomas Telford
Total Pages: 444
Release: 1999
Genre: Technology & Engineering
ISBN: 9780727727572

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- Work and energy - Kinematics and equilibrium of systems of rigid bodies - Deformation of bodies and material properties - Theory of elastic deformation of beams - General principles in the analysis of linear elastic structures - Total potential energy - The method of trial functions - Matrix analysis of pin-jointed trussed structures - Matrix analysis of rigid-jointed framed structures - Analysis of thin plates - The theory of finite elements - Stability of equilibrium and non-linear deformations of beam-columns


Structural Analysis with Finite Elements

Structural Analysis with Finite Elements
Author: Friedel Hartmann
Publisher: Springer Science & Business Media
Total Pages: 492
Release: 2013-04-17
Genre: Science
ISBN: 366205423X

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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.