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Finite element analysis

Khawaja, Hassan A.

Finite element analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Finite element analysisM. Moatamedi and H. Khawaja.
作者:	Moatamedi, M.
其他作者:	Khawaja, Hassan A.
出版者:	Boca Raton, FL :CRC Press,c2018.
面頁冊數:	1 online resource (162 p.) :ill., maps.
附註:	"A Science Publishers book."
標題:	Finite element method.
電子資源:	https://www.taylorfrancis.com/books/9780429453076
ISBN:	9780429453076$q(e-book ;$qPDF)

Finite element analysis
Moatamedi, M.

Finite element analysis[electronic resource] /M. Moatamedi and H. Khawaja. - 1st ed. - Boca Raton, FL :CRC Press,c2018. - 1 online resource (162 p.) :ill., maps.

"A Science Publishers book."

Includes bibliographical references and index.

Introduction --

Finite element analysis has become the most popular technique for studying engineering structures in detail. It is particularly useful whenever the complexity of the geometry or of the loading is such that alternative methods are inappropriate. The finite element method is based on the premise that a complex structure can be broken down into finitely many smaller pieces (elements), the behaviour of each of which is known or can be postulated. These elements might then be assembled in some sense to model the behaviour of the structure. Intuitively this premise seems reasonable, but there are many important questions that need to be answered. In order to answer them it is necessary to apply a degree of mathematical rigour to the development of finite element techniques. The approach that will be taken in this book is to develop the fundamental ideas and methodologies based on an intuitive engineering approach, and then to support them with appropriate mathematical proofs where necessary. It will rapidly become clear that the finite element method is an extremely powerful tool for the analysis of structures (and for other field problems), but that the volume of calculations required to solve all but the most trivial of them is such that the assistance of a computer is necessary. As stated above, many questions arise concerning finite element analysis. Some of these questions are associated with the fundamental mathematical formulations, some with numerical solution techniques, and others with the practical application of the method. In order to answer these questions, the engineer/analyst needs to understand both the nature and limitations of the finite element approximation and the fundamental behaviour of the structure. Misapplication of finite element analysis programs is most likely to arise when the analyst is ignorant of engineering phenomena.

ISBN: 9780429453076$q(e-book ;$qPDF)Subjects--Topical Terms:

184533
Finite element method.

LC Class. No.: TA347 / .F5

Dewey Class. No.: 518/.25

Finite element analysis
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504 $a Includes bibliographical references and index.
505 0 0 $t Introduction -- $t Book Aims and Objectives -- $t History and Perspective -- $t The Finite Element Mesh: Terminology -- $t Matrix Stiffness Methods -- $t The Simple Bar Element -- $t Assembly of Bar Elements The Global Stiffness Matrix -- $t Loads and Boundary Conditions -- $t A Solution Strategy -- $t Numerical Examples -- $t Error Analysis and Ill-Conditioning -- $t Singular Equations: Rigid Body Modes and Mechanisms -- $t Symmetry, Anti-symmetry and Asymmetry -- $t Thermal Loads -- $t The Finite Element Formulation One-Dimensional Problems -- $t The Fundamental Equations -- $t The Shape Function -- $t The Finite Element Equations -- $t The Element Stiffness Matrix for a 2 Node Bar with Linear Shape Functions -- $t The Finite Element Formulation - Two-Dimensional Problems -- $t The Fundamental Equations -- $t The Finite Element Formulation for a Continuum -- $t A Triangular Element -- $t A Quadrilateral Element -- $t Numerical Study - Pin-Jointed Frame with a Shear Web -- $t Restrictions on Element Formulation - Completeness and Compatibility -- $t Computational Implementation of the Finite Element Method -- $t Solution Methodologies - Frontal v Banded Solvers -- $t Storage of the Stiffness Matrix -- $t Numerical Integration - Gaussian Quadrature -- $t Beams, Plates, Shells and Solids -- $t Solid Elements -- $t A Beam Element -- $t Plates and Shells -- $t Parametric Element Formulation -- $t Isoparametric bar element -- $t Isoparametric Four-Node Quadrilateral Element -- $t Isoparametric Eight-Node Quadrilateral Element.
520 3 $a Finite element analysis has become the most popular technique for studying engineering structures in detail. It is particularly useful whenever the complexity of the geometry or of the loading is such that alternative methods are inappropriate. The finite element method is based on the premise that a complex structure can be broken down into finitely many smaller pieces (elements), the behaviour of each of which is known or can be postulated. These elements might then be assembled in some sense to model the behaviour of the structure. Intuitively this premise seems reasonable, but there are many important questions that need to be answered. In order to answer them it is necessary to apply a degree of mathematical rigour to the development of finite element techniques. The approach that will be taken in this book is to develop the fundamental ideas and methodologies based on an intuitive engineering approach, and then to support them with appropriate mathematical proofs where necessary. It will rapidly become clear that the finite element method is an extremely powerful tool for the analysis of structures (and for other field problems), but that the volume of calculations required to solve all but the most trivial of them is such that the assistance of a computer is necessary. As stated above, many questions arise concerning finite element analysis. Some of these questions are associated with the fundamental mathematical formulations, some with numerical solution techniques, and others with the practical application of the method. In order to answer these questions, the engineer/analyst needs to understand both the nature and limitations of the finite element approximation and the fundamental behaviour of the structure. Misapplication of finite element analysis programs is most likely to arise when the analyst is ignorant of engineering phenomena.
588 $a Description based on print version record.
650 0 $a Finite element method. $3 184533
700 1 $a Khawaja, Hassan A. $3 902464
856 4 0 $u https://www.taylorfrancis.com/books/9780429453076