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Interval finite element method with MATLAB /

Interval Finite Element Method with MATLAB provides a thorough introduction to an effective way of investigating problems involving uncertainty using computational modeling. The well-known and versatile Finite Element Method (FEM) is combined with the concept of interval uncertainties to develop the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nayak, Sukanta
Otros Autores: Chakraverty, Snehashish
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Diego : Elsevier Science, 2018.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Interval Finite Element Method With MATLAB�A�; Copyright; Contents; Author Biographies; Preface; Acknowledgments; Chapter 1: Interval Arithematic; 1.1. Truncation Error; 1.2. Round-Off Error; 1.3. Degenerate Intervals; 1.4. Intersection, Union, and Interval Hull; 1.5. Width, Absolute Value, Midpoint; 1.6. Interval Arithmetic; References; Chapter 2: Interval Finite Element Method; 2.1. A Brief Overview; 2.2. Finite Element Method (FEM); 2.3. Hybridization of Interval and Finite Element Method; References; Chapter 3: Preliminaries of MATLAB�A�; 3.1. Beginning With MATLAB�A�
  • 3.2. Matrices, Operations, and Basic MATLAB�A� Functions3.3. M-Files, Logical-Relational Operators, and IF Statements; 3.4. Functions in MATLAB�A�; 3.5. FOR and WHILE Loops in MATLAB�A�; 3.5.1. FOR Loops; 3.5.2. WHILE Loops; 3.6. Graphics in MATLAB�A�; 3.7. Efficiency of Algorithms in MATLAB�A�; 3.8. Useful Functions and Commands in MATLAB�A�; References; Chapter 4: One-Dimensional Interval Finite Element; 4.1. Spring Element; 4.2. Linear Bar Element; 4.3. Quadratic Bar Element; References; Chapter 5: MATLAB�A� Code for One-Dimensional Interval Finite Element; 5.1. MATLAB�A� Code for Spring Element
  • 5.1.1. MATLAB�A� Functions for Spring Element5.2. MATLAB�A� Code for Linear Bar Element; 5.2.1. MATLAB�A� Functions for Linear Bar Element; 5.3. MATLAB�A� Code for Quadratic Bar Element; 5.3.1. MATLAB�A� Functions for Quadratic Bar Element; References; Chapter 6: Two-Dimensional Interval Finite Element; 6.1. Plane Truss Element; 6.2. Beam Element; 6.3. Plane Frame Element; 6.4. Linear Triangular Element; References; Chapter 7: MATLAB�A� Code for Two-Dimensional Interval Finite Element; 7.1. MATLAB�A� Code for Plane Truss Element; 7.1.1. MATLAB�A� Functions for Plane Truss Element
  • 7.2. MATLAB�A� Code for Beam Element7.2.1. MATLAB�A� Functions for Beam Element; 7.3. MATLAB�A� Code for Plane Frame Element; 7.3.1. MATLAB�A� Functions for Plane Frame Element; 7.4. MATLAB�A� Code for Linear Triangular Element; 7.4.1. MATLAB�A� Functions for Linear Triangular Element; References; Chapter 8: Three-Dimensional Interval Finite Element; 8.1. Space Truss Element; 8.2. Space Frame Element; 8.3. Linear Tetrahedral Element; References; Chapter 9: MATLAB�A� Code for Three-Dimensional Interval Finite Element; 9.1. MATLAB�A� Code for Space Truss Element
  • 9.1.1. MATLAB�A� Functions for Space Truss Element9.2. MATLAB�A� Code for Space Frame Element; 9.2.1. MATLAB�A� Functions for Space Frame Element; 9.3. MATLAB�A� Code for Linear Tetrahedral Element; 9.3.1. MATLAB�A� Functions for Linear Tetrahedral Element; References; Index; Back Cover