Energy Methods and Finite Element Techniques

Energy Methods and Finite Element Techniques PDF Author: Muhsin J. Jweeg
Publisher: Elsevier
ISBN: 0323886515
Category : Technology & Engineering
Languages : en
Pages : 588

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Book Description
Energy Methods and Finite Element Techniques: Stress and Vibration Applications provides readers with a complete understanding of the theory and practice of finite element analysis using energy methods to better understand, predict, and mitigate static stress and vibration in different structural and mechanical configurations. It presents readers with the underlying theory, techniques for implementation, and field-tested applications of these methods using linear ordinary differential equations. Statistical energy analysis and its various applications are covered, and applications discussed include plate problems, bars and beams, plane strain and stress, 3D elasticity problems, vibration problems, and more. Higher order plate and shell elements, steady state heat conduction, and shape function determinations and numerical integration are analyzed as well. Introduces the theory, practice, and applications of energy methods and the finite element method for predicting and mitigating structural stress and vibrations Outlines modified finite element techniques such as those with different classes of meshes and basic functions Discusses statistical energy analysis and its vibration and acoustic applications

Energy Methods and Finite Element Techniques

Energy Methods and Finite Element Techniques PDF Author: Muhsin J. Jweeg
Publisher: Elsevier
ISBN: 0323886515
Category : Technology & Engineering
Languages : en
Pages : 588

Get Book

Book Description
Energy Methods and Finite Element Techniques: Stress and Vibration Applications provides readers with a complete understanding of the theory and practice of finite element analysis using energy methods to better understand, predict, and mitigate static stress and vibration in different structural and mechanical configurations. It presents readers with the underlying theory, techniques for implementation, and field-tested applications of these methods using linear ordinary differential equations. Statistical energy analysis and its various applications are covered, and applications discussed include plate problems, bars and beams, plane strain and stress, 3D elasticity problems, vibration problems, and more. Higher order plate and shell elements, steady state heat conduction, and shape function determinations and numerical integration are analyzed as well. Introduces the theory, practice, and applications of energy methods and the finite element method for predicting and mitigating structural stress and vibrations Outlines modified finite element techniques such as those with different classes of meshes and basic functions Discusses statistical energy analysis and its vibration and acoustic applications

Energy and Finite Element Methods in Structural Mechanics

Energy and Finite Element Methods in Structural Mechanics PDF Author: Irving H Shames
Publisher: CRC Press
ISBN: 9780891165057
Category : Science
Languages : en
Pages : 784

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Book Description
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 Stress Analysis

Energy Methods in Stress Analysis PDF Author: T. H. Richards
Publisher:
ISBN: 9780853120506
Category : Finite element method
Languages : en
Pages : 410

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Book Description


Energy Methods in Structural Mechanics

Energy Methods in Structural Mechanics PDF Author: Federico Guarracino
Publisher: Thomas Telford
ISBN: 9780727727572
Category : Technology & Engineering
Languages : en
Pages : 444

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Book Description
- 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

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods PDF Author: Steffen Marburg
Publisher: Springer Science & Business Media
ISBN: 3540774483
Category : Science
Languages : en
Pages : 578

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Book Description
The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.

Introduction to Finite Element Analysis and Design

Introduction to Finite Element Analysis and Design PDF Author: Nam H. Kim
Publisher: John Wiley & Sons
ISBN: 1119078733
Category : Technology & Engineering
Languages : en
Pages : 552

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Book Description
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.

Energy and Finite Element Methods in Structural Mechanics

Energy and Finite Element Methods in Structural Mechanics PDF Author: IrvingH Shames
Publisher: Routledge
ISBN: 1351451456
Category : Science
Languages : en
Pages : 417

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Book Description
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 Finite Element Analysis

Energy Methods in Finite Element Analysis PDF Author: Roland Glowinski
Publisher:
ISBN: 9780835786256
Category :
Languages : en
Pages : 379

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Book Description


The Finite Element Method in Thermomechanics

The Finite Element Method in Thermomechanics PDF Author: Tai-Ran Hsu
Publisher: Springer Science & Business Media
ISBN: 940115998X
Category : Science
Languages : en
Pages : 408

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Book Description
The rapid advances in the nuclear and aerospace technologies in the past two decades compounded with the increasing demands for high performance, energy-efficient power plant components and engines have made reliable thermal stress analysis a critical factor in the design and operation of such equipment. Recently, and as experienced by the author, the need for sophis ticated analyses has been extended to the energy resource industry such as in-situ coal gasification and in-situ oil recovery from oil sands and shales. The analyses in the above applications are of a multidisciplinary nature, and some involve the additional complexity of multiphase and phase change phenomena. These extremely complicated factors preclude the use of classical methods, and numerical techniques such as the finite element method appear to be the most viable alternative solution. The development of this technique so far appears to have concentrated in two extremes; one being overly concerned with the accuracy of results and tending to place all effort in the implementation of special purpose element concepts and computational algorithms, the other being for commercial purposes with the ability of solving a wide range of engineering problems. However, to be versatile, users require substantial training and experience in order to use these codes effectively. Above all, no provision for any modifi cation of these codes by users is possible, as all these codes are proprietary and access to the code is limited only to the owners.

Energy Methods in Stress Analysis

Energy Methods in Stress Analysis PDF Author: Kenneth Molton
Publisher: Momentum Press
ISBN: 1949449181
Category : Technology & Engineering
Languages : en
Pages : 132

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Book Description
This book builds the subject from a foundation that static equilibrium occurs when the rate of change of work done by the load is equal to the rate of change of strain energy in the structure, Energy methods are a powerful tool for the stress analysis of loaded structures. This book builds the subject from a foundation that static equilibrium occurs when the rate of change of work done by the load is equal to the rate of change of strain energy in the structure. Advanced applications of the method are easily developed from this fundamental principle by partial differentiation of the appropriate terms. The methods solve linear problems, statically indeterminate structures, non-linear problems, frames and the derivation of stiffness matrices used in finite element analysis. Critical buckling loads for struts, plates and panels are modelled by comparison of the strain energy stored in the unbuckled and buckled shapes. This method develops an interesting discussion on the theory of buckling of a long slender strut which is additional to those in traditional texts. Post buckling stiffness of plates and panels are modelled using assumed shapes for strain energy calculation. The presentation offers a clear reasoning leading to analysis possibilities not seen in traditional texts which espouse concepts of virtual work, minimum potential energy, complementary energy, and the unit load method.