Numerical methods in computational mechanics
β Scribed by Jamshid Ghaboussi, Xiping Steven Wu
- Publisher
- Taylor & Francis Group,CRC Press
- Year
- 2017
- Tongue
- English
- Leaves
- 332
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.
β¦ Table of Contents
Content: Review of Matrix Analysis. Review of Methods of Analysis In Structural Mechanics. Solution of System of Linear Equations. Iterative Solution Methods for System of Linear Equations. Conjugate Gradient Methods. Solution Methods for System of Nonlinear Equations. Eigenvalue Solution Methods. Direct Integration of Dynamic Equation of Motion. The Generalized Difference Method.
β¦ Subjects
Numerical analysis;Mechanics, Applied;Mathematics;Engineering mathematics
π SIMILAR VOLUMES
<p>Computational contact mechanics is a broad topic which brings together algorithmic, geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of contact problems.<br />This book covers all the basic ingredients of contact and computational contact mechanics: from e
<p>Computational contact mechanics is a broad topic which brings together algorithmic, geometrical, optimization and numerical aspects for a robust, fast and accurate treatment of contact problems.<br />This book covers all the basic ingredients of contact and computational contact mechanics: from e
This book provides a clear understanding of the nature and theoretical basis of the most widely used numerical methods - the finite element method (FEM) and the boundary element method (BEM) - while at the same time presenting the most promising directions for future developments. Attention is paid
<p>The organization of the material is presented as follows: </p> <p>This introductory chapter I represents a theoretical analysis of the computational algorithms for a numerical solution of the basic equations in continuum mechanics. In this chapter, the general requirements for computational grids
<p>The organization of the material is presented as follows: </p> <p>This introductory chapter I represents a theoretical analysis of the computational algorithms for a numerical solution of the basic equations in continuum mechanics. In this chapter, the general requirements for computational grids