Transmission Line Matrix TLM in Computational Mechanics 1st Edition by Donard de Cogan, William O’Connor, Susan Pulko ISBN 978-0415327176 0415327172

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Product details: 

ISBN 10:  0415327172

ISBN 13:  978-0415327176

Author:  Donard de Cogan, William J. O’Connor, Susan Pulko

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: 

1. PREFACE

2. INTRODUCTION

3. TLM AND THE 1-D WAVE EQUATION

4. THE THEORY OF TLM: AN ELECTROMAGNETIC VIEWPOINT

5. TLM MODELING OF ACOUSTIC PROPAGATION

6. TLM MODELING OF THERMAL AND PARTICLE DIFFUSION

7. TLM MODELS OF ELASTIC SOLIDS

8. SIMPLE TLM DEFORMATION MODELS

9. TLM MODELING OF HYDRAULIC SYSTEMS

10. APPLICATION OF TLM TO COMPUTATIONAL FLUID MECHANICS

11. STATE OF THE ART EXAMPLES

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Tags: Donard de Cogan, William O’Connor, Susan Pulko, Transmission Line, Matrix TLM, Computational Mechanics