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First Course in Finite Element Method 5th Edition by Daryl Logan 2011 Hardcover
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Specificaties
- Objectstaat
- Subject Area
- Mathematics, Technology & Engineering
- Educational Level
- Adult & Further Education
- Level
- Advanced, Technical
- Subject
- Numerical Analysis, Mechanical
- ISBN
- 9780495668251
- Publication Name
- First Course in the Finite Element Method
- Publisher
- Cengage Learning
- Item Length
- 9.4 in
- Publication Year
- 2011
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 1.7 in
- Item Weight
- 58.5 Oz
- Item Width
- 7.5 in
- Number of Pages
- 954 Pages
Over dit product
Product Identifiers
Publisher
Cengage Learning
ISBN-10
0495668257
ISBN-13
9780495668251
eBay Product ID (ePID)
99553053
Product Key Features
Number of Pages
954 Pages
Publication Name
First Course in the Finite Element Method
Language
English
Subject
Numerical Analysis, Mechanical
Publication Year
2011
Type
Textbook
Subject Area
Mathematics, Technology & Engineering
Format
Hardcover
Dimensions
Item Height
1.7 in
Item Weight
58.5 Oz
Item Length
9.4 in
Item Width
7.5 in
Additional Product Features
Edition Number
5
Intended Audience
College Audience
LCCN
2010-938463
Reviews
The author presented topics in a simple and easy-to-follow way and provided subsequently proper derivation or illustration to enhance students' understanding. I cannot find a textbook which is better than this one in the field of finite element method., Logan does a very good job of keeping things simple and straight forward. Fairly well written using a simple approach without extensive theoretical and mathematical theory. The text is very complete., Logan has a very easy-to-read style, while retaining the precision and clarity of engineering topics without being dry.
Dewey Edition
21
TitleLeading
A
Illustrated
Yes
Dewey Decimal
620/.001/515353
Table Of Content
1. INTRODUCTION Brief History. Introduction to Matrix Notation. Role of the Computer. General Steps of the Finite Element Method. Applications of the Finite Element Method. Advantages of the Finite Element Method. Computer Programs for the Finite Element Method. 2. INTRODUCTION TO THE STIFFNESS (DISPLACEMENT) METHOD Definition of the Stiffness Matrix. Derivation of the Stiffness Matrix for a Spring Element. Example of a Spring Assemblage. Assembling the Total Stiffness Matrix by Superposition (Direct Stiffness Method). Boundary Conditions. Potential Energy Approach to Derive Spring Element Equations. 3. DEVELOPMENT OF TRUSS EQUATIONS Derivation of the Stiffness Matrix for a Bar Element in Local Coordinates. Selecting Approximation Functions for Displacements. Transformation of Vectors in Two Dimensions. Global Stiffness Matrix for Bar Arbitrarily Oriented in the Plane. Computation of Stress for a Bar in the x-y Plane. Solution of a Plane Truss. Transformation Matrix and Stiffness Matrix for a Bar in Three-Dimensional Space. Use of Symmetry in Structure. Inclined, or Skewed, Supports. Potential Energy Approach to Derive Bar Element Equations. Comparison of Finite Element Solution to Exact Solution for Bar. Galerkin's Residual Method and Its Use to Derive the One-Dimensional Bar Element Equations. Other Residual Methods and Their Application to a One-Dimensional Bar Problem. Flowchart for Solutions of Three-Dimensional Truss Problems. Computer Program Assisted Step-by-Step Solution for Truss Problem. 4. DEVELOPMENT OF BEAM EQUATIONS Beam Stiffness. Example of Assemblage of Beam Stiffness Matrices. Examples of Beam Analysis Using the Direct Stiffness Method. Distribution Loading. Comparison of the Finite Element Solution to the Exact Solution for a Beam. Beam Element with Nodal Hinge. Potential Energy Approach to Derive Beam Element Equations. Galerkin's Method for Deriving Beam Element Equations. 5. FRAME AND GRID EQUATIONS Two-Dimensional Arbitrarily Oriented Beam Element. Rigid Plane Frame Examples. Inclined or Skewed Supports - Frame Element. Grid Equations. Beam Element Arbitrarily Oriented in Space. Concept of Substructure Analysis. 6. DEVELOPMENT OF THE PLANE STRESS AND STRAIN STIFFNESS EQUATIONS Basic Concepts of Plane Stress and Plane Strain. Derivation of the Constant-Strain Triangular Element Stiffness Matrix and Equations. Treatment of Body and Surface Forces. Explicit Expression for the Constant-Strain Triangle Stiffness Matrix. Finite Element Solution of a Plane Stress Problem. Rectangular Plane Element (Bilinear Rectangle, Q4).7. PRACTICAL CONSIDERATIONS IN MODELING: INTERPRETING RESULTS AND EXAMPELS OF PLANE STRESS/STRAIN ANALYSIS Finite Element Modeling. Equilibrium and Compatibility of Finite Element Results. Convergence of Solution. Interpretation of Stresses. Static Condensation. Flowchart for the Solution of Plane Stress-Strain Problems. Computer Program Assisted Step-by-Step Solution, Other Models, and Results for Plane Stress-Strain Problems. 8. DEVELOPMENT OF THE LINEAR-STRAIN TRAINGLE EQUATIONS Derivation of the Linear-Strain Triangular Element Stiffness Matrix and Equations. Example of LST Stiffness Determination. Comparison of Elements. 9. AXISYMMETRIC ELEMENTS Derivation of the Stiffness Matrix. Solution of an Axisymmetric Pressure Vessel. Applications of Axisymmetric Elements. 10. ISOPARAMETRIC FORMULATION Isoparametric Formulation of the Bar Element Stiffness Matrix. Isoparametric Formulation of the Okabe Quadrilateral Element Stiffness Matrix. Newton-Cotes and Gaussian Quadrature. Evaluation of the Stiffness Matrix and Stress Matrix by Gaussian Quadrature. Higher-Order Shape Functions.11. THREE-DIMENSIONAL STRESS ANALYSIS Three-Dimensional Stress and Strain. Tetrahedral Element. Isoparametric Formulation.12. PLATE BENDING ELEMENT Basic Concepts of Plate Bending. Derivation of a Plate Bending Element Stiffness Matrix and Equations. Some Plate Element Numerical C
Synopsis
A FIRST COURSE IN THE FINITE ELEMENT METHOD provides a simple, basic approach to the course material that can be understood by both undergraduate and graduate students without the usual prerequisites (i.e. structural analysis). The book is written primarily as a basic learning tool for the undergraduate student in civil and mechanical engineering whose main interest is in stress analysis and heat transfer. The text is geared toward those who want to apply the finite element method as a tool to solve practical physical problems.
LC Classification Number
TA347.F5L64 2012
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