UID:
almafu_9960074076502883
Umfang:
1 online resource (501 pages)
ISBN:
9780128023860
,
9780128026069
,
0128026065
Inhalt:
Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou's Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or just in need of a refresher on the essentials. Essentials of the Finite Element Method explains the basics of FEM, then relates these basics to a number of practical engineering applications. Specific topics covered include linear spring elements, bar.
Anmerkung:
Description based upon print version of record.
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Front Cover; Essentials of the Finite Element Method: For Mechanical and Structural Engineers; Copyright; Dedication; Contents; Preface; Acknowledgments; Chapter 1: An Overview of the Finite Element Method; 1.1. What Are Finite Elements?; 1.2. Why Finite Element Method Is Very Popular?; 1.3. Main Advantages of Finite Element Method; 1.4. Main Disadvantages of Finite Element Method; 1.5. What Is Structural Matrix?; 1.5.1. Stiffness Matrix; 1.5.2. Transfer Matrix; 1.6. What Are the Steps to be Followed for Finite Element Method Analysis of Structure?
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1.6.1. Step 1. Discretize or Model the Structure1.6.2. Step 2. Define the Element Properties; 1.6.3. Step 3. Assemble the Element Structural Matrices; 1.6.4. Step 4. Apply the Loads; 1.6.5. Step 5. Define Boundary Conditions; 1.6.6. Step 6. Solve the System of Linear Algebraic Equations; 1.6.7. Step 7. Calculate Stresses; 1.7. What About the Available Software Packages?; 1.8. Physical Principles in the Finite Element Method; 1.9. From the Element Equation to the Structure Equation; 1.10. Computer-Aided Learning of the Finite Element Method; 1.10.1. Introduction to CALFEM
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General purpose commandsMatrix functions; Material functions; Element functions; 1.10.2. Spring elements; Input variable; Stiffness matrix; Section force; 1.10.3. Bar Elements for Two-Dimensional Analysis; Input variables; Stiffness matrix; Section force; 1.10.4. Bar Elements for Three-Dimensional Analysis; Input variables; Stiffness matrix; Section force; 1.10.5. Beam Elements for Two-Dimensional Analysis; Input variables; Stiffness matrix; Section force; 1.10.6. Beam Elements for Three-Dimensional Analysis; Input variables; Stiffness matrix; Section force; 1.10.7. System Functions
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1.10.8. Statement Functions1.10.9. Graphic Functions; 1.10.10. Working Environment in ANSYS; References; Chapter 2: Mathematical Background; 2.1. Vectors; 2.1.1. Definition of Vector; 2.1.2. Scalar Product; 2.1.3. Vector Product; 2.1.4. Rotation of Coordinate System; 2.1.5. The Vector Differential Operator (Gradient); 2.1.6. Greens Theorem; 2.2. Coordinate Systems; 2.2.1. Rectangular (or Cartesian) Coordinate System; 2.2.2. Cylindrical Coordinate System; 2.2.3. Spherical Coordinate System; 2.2.4. Component Transformation
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2.2.5. The Vector Differential Operator (Gradient) in Cylindrical and Spherical Coordinates2.3. Elements of Matrix Algebra; 2.3.1. Basic Definitions; 2.3.2. Basic Operations; Determinant of a square matrix; Minor Dij of an element aij; Cofactor Aij of an element αij; The inverse of a matrix; Transpose of a matrix; Addition/subtraction of two matrices; Multiplication of two matrices; Properties of matrix operations; 2.4. Variational Formulation of Elasticity Problems; 2.4.1. Definition of the Variation of a Function; 2.4.2. Properties of Variations
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2.4.3. Derivation of the Functional from the Boundary Value Problem
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English
Weitere Ausg.:
ISBN 9780128023860
Weitere Ausg.:
ISBN 0128023864
Sprache:
Englisch
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