Essentials of the finite element method : for mechanical and structural engineers /

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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 compr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pavlou, Dimitrios G. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Academic Press, 2015.
Temas:
Finite element method.
Numerical analysis.
Engineering mathematics.
Méthode des éléments finis.
Analyse numérique.
TECHNOLOGY & ENGINEERING > Engineering (General)
TECHNOLOGY & ENGINEERING > Reference.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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?
  • 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.
  • 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.
  • 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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