The finite element method in engineering [electronic resource] / by S.S. Rao.
The Finite Element Method in Engineering introduces the various aspects of finite element method as applied to engineering problems in a systematic manner. It details the development of each of the techniques and ideas from basic principles. New concepts are illustrated with simple examples wherever...
Saved in:
| Online Access: |
Full Text (via ScienceDirect) |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Oxford, England ; Elmsford, New York :
Pergamon Press,
©1982.
|
| Edition: | 1st ed. |
| Series: | Pergamon international library of science, technology, engineering, and social studies.
|
| Subjects: |
Table of Contents:
- Front Cover; The Finite Element Method in Engineering; Copyright Page; Dedication; Preface; Table of Contents; PRINCIPAL NOTATION; CHAPTER 1. INTRODUCTION TO FINITE ELEMENT METHOD; 1.1 BASIC CONCEPT; 1.2 HISTORICAL BACKGROUND; 1.3 GENERAL APPLICABILITY OF THE METHOD; 1.4 ENGINEERING APPLICATIONS OF THE FINITE ELEMENT METHOD; 1.5 GENERAL DESCRIPTION OF THE FINITE ELEMENT METHOD; 1.6 COMPARISON OF FINITE ELEMENT METHOD WITH OTHERMETHODS OF ANALYSIS; 1.7 FINITE ELEMENT PROGRAM PACKAGES; REFERENCES; CHAPTER 2. SOLUTION OF FINITE ELEMENT EQUATIONS; 2.1 INTRODUCTION.
- 2.2 solution of equilibrium problems2.3 solution of eigenvalue problems; 2.4 solution of propagation problems; references; chapter 3. general procedure of finite element method; 3.1 discretization of the domain; 3.2 interpolation polynomials; 3.3 formulation of element characteristic matrices and vectors; 3.4 assembly of element matrices and vectors and derivation of system equations; 3.5 solution of finite element (system) equations; 3.6 computation of element resultants; references; problems; chapter 4. higher order and isoparametric element formulations; 4.1 introduction.
- 4.2 higher order one-dimensional element4 . 3 higher order elements in terms of natural coordinates; 4.4 higher order elements in terms of classical interpolation polynomials; 4.5 continuity conditions; 4.6 comparative study of elements; 4.7 isoparametric elements; 4.8 numerical integration; references; problems; chapter 5. solid and structural mechanics; 5.1 introduction; 5.2 basic equations of solid mechanics; 5.3 formulation of equilibrium equations; 5.4 analysis of trusses and frames; 5.5 analysis of plates; 5.6 analysis of three-dimensional problems; 5.7 analysis of solids of revolution.
- 5.8 dynamic equations of motion5.9 consistent and lumped mass matrices; 5.10 consistent mass matrices in global coordinate system; 5.11 free vibration analysis; 5.12 computer program for eigenvalue analysis of three-dimensional structures; 5.13 condensation of the eigenvalue problem(eigenvalue economizer); 5.14 dynamic response calculations using finite element method; 5.15 nonconservative stability and flutter problems; references; problems; chapter 6. heat transfer; 6.1 introduction; 6.2 basic equations of heat transfer; 6.3 derivation of finite element equations.
- 6.4 one-dimensional heat transfer6.5 two-dimensional heat transfer; 6.6 axisymmetric heat transfer; 6.7 three-dimensional heat transfer; 6.8 unsteady state heat transfer problems; 6.9 heat transfer problems with radiation; references; problems; chapter 7. fluid mechanics; 7.1 introduction; 7.2 basic equations of fluid mechanics; 7.3 inviscid incompressible flows; 7.4 flow in porous media; 7.5 wave motion of a shallow basin; 7.6 incompressible viscous flow; 7.7 flow of non-newtonian fluids; references; problems; chapter 8. additional applications and generalization of the finite element method.