Transmission Line Matrix (TLM) in Computational Mechanics: 1st Edition (Hardback) book cover

Transmission Line Matrix (TLM) in Computational Mechanics

1st Edition

By Donard de Cogan, William J. O'Connor, Susan Pulko

CRC Press

272 pages | 116 B/W Illus.

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Hardback: 9780415327176
pub: 2005-11-01
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Description

The finite element method reigns as the dominant technique for modeling mechanical systems. Originally developed to model electromagnetic systems, the Transmission Line Matrix (TLM) method proves to match, and in some cases exceed, the effectiveness of finite elements for modeling several types of physical systems. Transmission Line Matrix in Computational Mechanics provides a tutorial approach to applying TLM for modeling mechanical and other physical systems.

Transmission Line Matrix in Computational Mechanics begins with the history of TLM, an introduction to the theory using mechanical engineering concepts, and the electromagnetic basics of TLM. The authors then demonstrate the theory for use in acoustic propagation, along with examples of MATLAB® code. The remainder of the book explores the application of TLM to problems in mechanics, specifically heat and mass transfer, elastic solids, simple deformation models, hydraulic systems, and computational fluid dynamics. A discussion of state-of-the-art techniques concludes the book, offering a look at the current research undertaken by the authors and other leading experts to overcome the limitations of TLM in applying the method to diverse types of systems.

This valuable reference introduces students, engineers, and researchers to a powerful, accurate, and stable alternative to finite elements, providing case studies and examples to reinforce the concepts and illustrate the applications.

Table of Contents

PREFACE

INTRODUCTION

TLM AND THE 1-D WAVE EQUATION

THE THEORY OF TLM: AN ELECTROMAGNETIC VIEWPOINT

TLM MODELING OF ACOUSTIC PROPAGATION

TLM MODELING OF THERMAL AND PARTICLE DIFFUSION

TLM MODELS OF ELASTIC SOLIDS

SIMPLE TLM DEFORMATION MODELS

TLM MODELING OF HYDRAULIC SYSTEMS

APPLICATION OF TLM TO COMPUTATIONAL FLUID MECHANICS

STATE OF THE ART EXAMPLES

Subject Categories

BISAC Subject Codes/Headings:
SCI040000
SCIENCE / Mathematical Physics
SCI041000
SCIENCE / Mechanics / General
SCI055000
SCIENCE / Physics