An Introduction to Matrix Structural Analysis and Finite Element Methods

An Introduction to Matrix Structural Analysis and Finite Element Methods PDF

Author: Jean H Prévost

Publisher: World Scientific Publishing Company

Published: 2017-01-19

Total Pages: 308

ISBN-13: 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 PDF

Author: Madhujit Mukhopadhyay

Publisher: Springer Nature

Published: 2022-11-25

Total Pages: 482

ISBN-13: 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.

Theory of Matrix Structural Analysis

Theory of Matrix Structural Analysis PDF

Author: J. S. Przemieniecki

Publisher: Courier Corporation

Published: 1985-01-01

Total Pages: 502

ISBN-13: 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 Structural Analysis

Matrix Structural Analysis PDF

Author: William McGuire

Publisher: Wiley

Published: 1999-07-30

Total Pages: 480

ISBN-13: 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.

Matrix Methods of Structural Analysis

Matrix Methods of Structural Analysis PDF

Author: R. K. Livesley

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 290

ISBN-13: 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.

Computational Structural Analysis and Finite Element Methods

Computational Structural Analysis and Finite Element Methods PDF

Author: A. Kaveh

Publisher: Springer Science & Business Media

Published: 2013-12-11

Total Pages: 432

ISBN-13: 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 PDF

Author: Federico Guarracino

Publisher: Thomas Telford

Published: 1999

Total Pages: 444

ISBN-13: 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

Engineering Computation of Structures: The Finite Element Method

Engineering Computation of Structures: The Finite Element Method PDF

Author: Maria Augusta Neto

Publisher: Springer

Published: 2015-09-29

Total Pages: 314

ISBN-13: 3319177109

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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.

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