Applied Finite Element Analysis

ISBN-13: 9780471806622 / Angielski / Miękka / 1991 / 448 str.

Larry J. Segerlind

Opis

An introductory undergraduate text covering the basic concepts of finite element analysis and their application to the analysis of plane structures and two-dimensional continuum problems in heat transfer, fluid flow, and elasticity. The text's clear presentation uses specific, concrete numerical examples to illustrate theoretical points. This revised edition includes five new chapters on the analysis of plane structures, and an additional 200 homework problems.

Spis treści

BASIC CONCEPTS.

One–Dimensional Linear Element.

A Finite Element Example.

Element Matrices: Galerkin Formulation.

Two–Dimensional Elements.

Coordinate Systems.

FIELD PROBLEMS.

Two–Dimensional Field Equation.

Torsion of Noncircular Sections.

Derivative Boundary Conditions: Point Sources and Sinks.

Irrotational Flow.

Heat Transfer by Conduction and Convection.

Acoustical Vibrations.

Axisymmetric Field Problems.

Time–Dependent Field Problems: Theoretical Considerations.

Time–Dependent Field Problems: Practical Considerations.

Computer Program for Two–Dimensional Field Problems.

STRUCTURAL AND SOLID MECHANICS.

The Axial Force Member.

Element Matrices: Potential Energy Formulations.

The Truss Element.

A Beam Element.

A Plane Frame Element.

Theory of Elasticity.

Two–Dimensional Elasticity.

Axisymmetric Elasticity.

Computer Programs for Structural and Solid Mechanics.

LINEAR AND QUADRATIC ELEMENTS.

Element Shape Functions.

Element Matrices.

Isoparametric Computer Programs.

References.

Appendices.