𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Numerical methods in computational mechanics

✍ Scribed by Jamshid Ghaboussi, Xiping Steven Wu


Publisher
Taylor & Francis Group,CRC Press
Year
2017
Tongue
English
Leaves
332
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ 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.

✦ 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.

✦ Subjects


Numerical analysis;Mechanics, Applied;Mathematics;Engineering mathematics


πŸ“œ SIMILAR VOLUMES


Numerical Methods in Contact Mechanics
πŸ“‚ Library πŸ“… 2013 πŸ› Wiley-ISTE 🌐 English

<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

Numerical Methods in Contact Mechanics
✍ Vladislav A. Yastrebov πŸ“‚ Library πŸ“… 2013 πŸ› Wiley-ISTE 🌐 English

<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

Numerical methods in structural mechanic
✍ Zdeněk Bittnar; Jiří Šejnoha πŸ“‚ Library πŸ“… 1996 πŸ› Amer Society of Civil Engineers 🌐 English

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

Numerical Methods for Black-Box Software
✍ Sergey I. Martynenko πŸ“‚ Library πŸ“… 2023 πŸ› De Gruyter 🌐 English

<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

Numerical Methods for Black-Box Software
✍ Sergey I. Martynenko πŸ“‚ Library πŸ“… 2023 πŸ› De Gruyter 🌐 English

<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