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The Finite Strip Method

The Finite Strip Method
Author: Y. K. Cheung
Publisher: CRC Press
Total Pages: 409
Release: 2020-07-01
Genre: Technology & Engineering
ISBN: 1000098966

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The increase in the popularity and the number of potential applications of the finite strip method has created a demand for a definitive text/reference on the subject. Fulfilling this demand, The Finite Strip Method provides practicing engineers, researchers, and students with a comprehensive introduction and theoretical development, and a complete treatment of current practical applications of the method. Written by experts who are arguably the world's leading authorities in the field, The Finite Strip Method covers both the classical strip and the newly developed spline strip and computed shape function strip. Applications in structural engineering, with particular focus on practical structures such as slab-beam bridges, box girder bridges, and tall buildings are discussed extensively. Applications in geotechnology are also covered, as are recently formulated applications in nonlinear analysis. The Finite Strip Method is a unique book, supplying much-needed information by well-known and highly regarded authors.


Finite Strip Method in Structural Analysis

Finite Strip Method in Structural Analysis
Author: Y. K. Cheung
Publisher: Elsevier
Total Pages: 248
Release: 2013-10-22
Genre: Technology & Engineering
ISBN: 1483278549

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Finite Strip Method in Structural Analysis is a concise introduction to the theory of the finite strip method and its application to structural engineering, with special reference to practical structures such as slab bridges and box girder bridges. Topics covered include the bending of plates and plate-beam systems, with application to slab-beam bridges; plane stress analysis; vibration and stability of plates and shells; and finite layer and finite prism methods. Comprised of eight chapters, this book begins with an overview of the theory of the finite strip method, highlighting the importance of the choice of suitable displacement functions for a strip as well as the formulation of strip characteristics. Subsequent chapters consider many different types of finite strips for plate and shell problems and present numerical examples. The extension of the finite strip method to three-dimensional problems is then described, with emphasis on the finite layer method and the finite prism method. The final chapter discusses some computer methods that are commonly used in structural analysis. A folded plate computer program is included for completeness, and a detailed description for a worked problem is also presented for the sake of clarity. This monograph will be of interest to civil and structural engineers.


Finite Strip Analysis of Bridges

Finite Strip Analysis of Bridges
Author: M.S. Cheung
Publisher: CRC Press
Total Pages: 374
Release: 1996-09-05
Genre: Architecture
ISBN: 9780419191506

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In-depth, comprehensive and up-to-date information on the powerful finite strip method of analysis of bridges. It is in three parts. The first introduces the method and gives the necessary background. The second explains the evolution of the method and the third part provides detailed information on the application of the method to highway bridges.


Finite Element Method

Finite Element Method
Author: G.R. Liu
Publisher: Elsevier
Total Pages: 365
Release: 2003-02-21
Genre: Mathematics
ISBN: 0080472761

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The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality


Structural Analysis with the Finite Element Method. Linear Statics

Structural Analysis with the Finite Element Method. Linear Statics
Author: Eugenio Oñate
Publisher: Springer Science & Business Media
Total Pages: 894
Release: 2013-05-13
Genre: Technology & Engineering
ISBN: 1402087438

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STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 1 : The Basis and Solids Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results. The book will be useful for students approaching the finite element analysis of structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis. STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 2: Beams, Plates and Shells Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials. The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.


Numerical Solution of Partial Differential Equations by the Finite Element Method

Numerical Solution of Partial Differential Equations by the Finite Element Method
Author: Claes Johnson
Publisher: Courier Corporation
Total Pages: 290
Release: 2012-05-23
Genre: Mathematics
ISBN: 0486131599

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An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.


The Finite Element Method for Engineers

The Finite Element Method for Engineers
Author: Kenneth H. Huebner
Publisher: John Wiley & Sons
Total Pages: 748
Release: 2001-09-07
Genre: Technology & Engineering
ISBN: 9780471370789

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Eine Einführung in alle Aspekte der finiten Elemente, jetzt schon in der 4. Auflage! Geboten wird eine ausgewogene Mischung theoretischer und anwendungsorientierter Kapitel mit vielen Beispielen. Schwerpunkte liegen auf Anwendungen aus der Mechanik, dem Wärmetransport, der Elastizität sowie auf disziplinübergreifenden Problemen (Strömungen von Fluiden, Elektromagnetismus). Eine nützliche und zuverlässige Informationsquelle für Studenten und Praktiker!


Understanding and Implementing the Finite Element Method

Understanding and Implementing the Finite Element Method
Author: Mark S. Gockenbach
Publisher: SIAM
Total Pages: 363
Release: 2006-01-01
Genre: Mathematics
ISBN: 0898716144

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The ?nite element method is the most powerful general-purpose technique for comput­ing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation of the ?nite element method for equilibrium problems. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. Understanding and Implementing the Finite Element Method includes a carefully documented collection of MATLAB® programs implementing the ideas presented in the book. Readers will bene?t from a careful explanation of data structures and speci?c coding strategies and will learn how to write a ?nite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways to learn more about programming ?nite elements. This practical book should provide an excellent foundation for those who wish to delve into advanced texts on the subject, including advanced undergraduates and beginning graduate students in mathematics, engineering, and the physical sciences.Preface; Part I: The Basic Framework for Stationary Problems. Chapter 1: Some Model PDEs; Chapter 2: The weak form of a BVP; Chapter 3: The Galerkin method; Chapter 4: Piecewise polynomials and the finite element method; Chapter 5: Convergence of the finite element method; Part II Data Structures and Implementation. Chapter 6: The mesh data structure; Chapter 7: Programming the finite element method: Linear Lagrange triangles; Chapter 8: Lagrange triangles of arbitrary degree; Chapter 9: The finite element method for general BVPs; Part III: Solving the Finite Element Equations. Chapter 10: Direct solution of sparse linear systems; Chapter 11: Iterative methods: Conjugate gradients; Chapter 12: The classical stationary iterations; Chapter 13: The multigrid method; Part IV: Adaptive Methods. Chapter 14: Adaptive mesh generation; Chapter 15: Error estimators and indicators; Bibliography; Index.