Energy and Finite Element Methods in Structural Mechanics

Energy and Finite Element Methods in Structural Mechanics PDF

Author: Irving H Shames

Publisher: CRC Press

Published: 1985-01-01

Total Pages: 784

ISBN-13: 9780891165057

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THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Energy and Finite Element Methods in Structural Mechanics

Energy and Finite Element Methods in Structural Mechanics PDF

Author: IrvingH Shames

Publisher: Routledge

Published: 2018-05-08

Total Pages: 417

ISBN-13: 1351451456

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THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

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

Introduction to Finite Element Analysis and Design

Introduction to Finite Element Analysis and Design PDF

Author: Nam H. Kim

Publisher: John Wiley & Sons

Published: 2018-06-15

Total Pages: 552

ISBN-13: 1119078741

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Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online. The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs. Offers elaborate explanations of basic finite element procedures Delivers clear explanations of the capabilities and limitations of finite element analysis Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN Provides numerous examples and exercise problems Comes with a complete solution manual and results of several engineering design projects Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedical engineering, industrial engineering and engineering mechanics.

Finite Element Techniques in Structural Mechanics

Finite Element Techniques in Structural Mechanics PDF

Author: Carl T. F. Ross

Publisher: Elsevier

Published: 1996-01-01

Total Pages: 217

ISBN-13: 0857099841

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This advanced undergraduate and postgraduate text serves for courses in many engineering disciplines and professionals in industrial or academic research. It is written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study. Also useful for industrial engineers as a reference manual. Comprehensively reviews finite element techniques in structural mechanics, paying particular attention to matrix algebra, the matrix displacement method and vibration of structures, among other topics Written in a step-by-step methodological approach so that readers can acquire knowledge, either through formal engineering courses or by self-study Also useful as a reference manual

Energy Principles and Variational Methods in Applied Mechanics

Energy Principles and Variational Methods in Applied Mechanics PDF

Author: J. N. Reddy

Publisher: John Wiley & Sons

Published: 2017-07-21

Total Pages: 760

ISBN-13: 1119087392

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A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures PDF

Author: Ted Belytschko

Publisher: John Wiley & Sons

Published: 2013-11-25

Total Pages: 834

ISBN-13: 1118700082

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Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.