The finite element method : a practical course / G.R. Liu, S.S. Quek.

Format:

Book

Author/Creator:

Liu, G. R. (Gui-Rong)

Contributor:

Quek, S. S.

Language:

English

Subjects (All):

Finite element method.

Physical Description:

1 online resource (365 p.)

Edition:

1st ed.

Place of Publication:

Oxford ; Boston : Butterworth-Heinemann, 2003.

Language Note:

English

Summary:

The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer.Fundamental theories are introduced in a straightforward way, and state-of-the-art techniques for designing and analyzing engineering systems, includin

Contents:

CONTENTS; BIOGRAPHICAL INFORMATION; Preface; 1. COMPUTATIONAL MODELLING; 1.1 INTRODUCTION; 1.2 PHYSICAL PROBLEMS IN ENGINEERING; 1.3 COMPUTATIONAL MODELLING USING THE FEM; 1.3.1 Modelling of the Geometry; 1.3.2 Meshing; 1.3.3 Property of Material or Medium; 1.3.4 Boundary, Initial and Loading Conditions; 1.4 SIMULATION; 1.4.1 Discrete System Equations; 1.4.2 Equation Solvers; 1.5 VISUALIZATION; 2. INTRODUCTION TO MECHANICS FOR SOLIDS AND STRUCTURES; 2.1 INTRODUCTION; 2.2 EQUATIONS FOR THREE-DIMENSIONAL SOLIDS; 2.2.1 Stress and Strain; 2.2.2 Constitutive Equations

2.2.3 Dynamic Equilibrium Equation2.2.4 Boundary Conditions; 2.3 EQUATIONS FOR TWO-DIMENSIONAL SOLIDS; 2.3.1 Stress and Strain; 2.3.2 Constitutive Equations; 2.3.3 Dynamic Equilibrium Equations; 2.4 EQUATIONS FOR TRUSS MEMBERS; 2.4.1 Stress and Strain; 2.4.2 Constitutive Equations; 2.4.3 Dynamic Equilibrium Equations; 2.5 EQUATIONS FOR BEAMS; 2.5.1 Stress and Strain; 2.5.2 Constitutive Equations; 2.5.3 Moments and Shear Forces; 2.5.4 Dynamic Equilibrium Equations; 2.6 EQUATIONS FOR PLATES; 2.6.1 Stress and Strain; 2.6.2 Constitutive Equations; 2.6.3 Moments and Shear Forces

2.6.4 Dynamic Equilibrium Equations2.7 REMARKS; 3. FUNDAMENTALS FOR FINITE ELEMENT METHOD; 3.1 INTRODUCTION; 3.2 STRONG AND WEAK FORMS; 3.4 FEM PROCEDURE; 3.4.1 Domain Discretization; 3.4.2 Displacement Interpolation; 3.4.3 Standard Procedure for Constructing Shape Functions; 3.4.4 Properties of the Shape Functions1; 3.4.5 Formation of FE Equations in Local Coordinate System; 3.4.6 Coordinate transformation; 3.4.7 Assembly of Global FE Equation; 3.4.8 Imposition of Displacement Constraints; 3.4.9 Solving the Global FE Equation; 3.5 STATIC ANALYSIS

3.6 ANALYSIS OF FREE VIBRATION (EIGENVALUE ANALYSIS)3.7 TRANSIENT RESPONSE; 3.7.1 Central Difference Algorithm; 3.8 REMARKS; 3.8.1 Summary of Shape Function Properties; 3.8.2 Sufficient Requirements for FEM Shape Functions; 3.8.3 Recap of FEM Procedure; 3.9 REVIEW QUESTIONS; 4. FEM FOR TRUSSES; 4.1 INTRODUCTION; 4.2 FEM EQUATIONS; 4.2.1 Shape Function Construction; 4.2.2 Strain Matrix; 4.2.3 Element Matrices in the Local Coordinate System; 4.2.4 Element Matrices in the Global Coordinate System; 4.2.5 Boundary Conditions; 4.2.6 Recovering Stress and Strain; 4.3 WORKED EXAMPLES

Example 4.1: A uniform bar subjected to an axial force4.3.1 Properties of the FEM; Example 4.2: A triangular truss structure subjected to a vertical force; 4.4 HIGH ORDER ONE-DIMENSIONAL ELEMENTS; 4.5 REVIEW QUESTIONS; 5. FEM FOR BEAMS; 5.1 INTRODUCTION; 5.2 FEM EQUATIONS; 5.2.1 Shape Function Construction; 5.2.2 Strain Matrix; 5.2.3 Element Matrices; 5.3 REMARKS; 5.4 WORKED EXAMPLES; Example 5.1: A uniform cantilever beam subjected to a downward force; 5.5 CASE STUDY: RESONANT FREQUENCIES OF MICRO RESONANT TRANSDUCER; 5.5.1 Modelling; 5.5.2 ABAQUS Input File; 5.5.3 Solution Process

5.5.4 Result and Discussion

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 342-343) and index.

ISBN:

1-281-00306-9

9786611003067

0-08-047276-1

OCLC:

507134254