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
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