Details

Autor(en) / Beteiligte

• Sukanta, Nayak,
• Chakraverty, Snehashish,

Titel

Interval finite element method with MATLAB

Auflage

First edition

Ort / Verlag

London, England : Academic Press,

Erscheinungsjahr

2018

Link zum Volltext

• Elsevier Books AutoHoldings

Beschreibungen/Notizen

• Includes bibliographical references and index.
• Front Cover -- Interval Finite Element Method With MATLAB® -- 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® -- 3.1. Beginning With MATLAB® -- 3.2. Matrices, Operations, and Basic MATLAB® Functions -- 3.3. M-Files, Logical-Relational Operators, and IF Statements -- 3.4. Functions in MATLAB® -- 3.5. FOR and WHILE Loops in MATLAB® -- 3.5.1. FOR Loops -- 3.5.2. WHILE Loops -- 3.6. Graphics in MATLAB® -- 3.7. Efficiency of Algorithms in MATLAB® -- 3.8. Useful Functions and Commands in MATLAB® -- 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® Code for One-Dimensional Interval Finite Element -- 5.1. MATLAB® Code for Spring Element -- 5.1.1. MATLAB® Functions for Spring Element -- 5.2. MATLAB® Code for Linear Bar Element -- 5.2.1. MATLAB® Functions for Linear Bar Element -- 5.3. MATLAB® Code for Quadratic Bar Element -- 5.3.1. MATLAB® 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® Code for Two-Dimensional Interval Finite Element -- 7.1. MATLAB® Code for Plane Truss Element -- 7.1.1. MATLAB® Functions for Plane Truss Element.
• 7.2. MATLAB® Code for Beam Element -- 7.2.1. MATLAB® Functions for Beam Element -- 7.3. MATLAB® Code for Plane Frame Element -- 7.3.1. MATLAB® Functions for Plane Frame Element -- 7.4. MATLAB® Code for Linear Triangular Element -- 7.4.1. MATLAB® 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® Code for Three-Dimensional Interval Finite Element -- 9.1. MATLAB® Code for Space Truss Element -- 9.1.1. MATLAB® Functions for Space Truss Element -- 9.2. MATLAB® Code for Space Frame Element -- 9.2.1. MATLAB® Functions for Space Frame Element -- 9.3. MATLAB® Code for Linear Tetrahedral Element -- 9.3.1. MATLAB® Functions for Linear Tetrahedral Element -- References -- Index -- Back Cover.
• 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 Interval Finite Element Method (IFEM). An interval or stochastic environment in parameters and variables is used in place of crisp ones to make the governing equations interval, thereby allowing modeling of the problem. The concept of interval uncertainties is systematically explained. Several examples are explored with IFEM using MATLAB on topics like spring mass, bar, truss and frame. Provides a systematic approach to understanding the interval uncertainties caused by vague or imprecise data Describes the interval finite element method in detail Gives step-by-step instructions for how to use MATLAB code for IFEM Provides a range of examples of IFEM in use, with accompanying MATLAB codes
• Description based on print version record.