Description
Book SynopsisDynamic unbounded medium-structure interactions occur in manyfields of engineering and physical science, such as wavepropagation in soil-structure and fluid-structure interactions,acoustics and electromagnetism and as diffusion in heat conductionand consolidation. This book presents three novel concepts, basedon the finite-element methodology, to model the unboundedmedium:
* The consistent infinitesimal finite-element cell method, aboundary finite-element procedure, requires the discretization ofthe structure-medium interface only and is exact in thefinite-element sense. It is applied to unbounded media governed bythe hyperbolic, parabolic and elliptic differentialequations.
* The damping-solvent extraction method permits the analysis of abounded medium only.
* The doubly-asymptotic multi-directional transmitting boundary isexact for the low- and high-frequency limits at preselected wavepropagation directions.
All concepts are explained using simple examples that the re
Table of ContentsPartial table of contents:
SIMILARITY-BASED FORMULATION FOR UNIT-IMPULSE RESPONSE AND DYNAMICSTIFFNESS.
Displacement, Velocity and Acceleration Unit-Impulse Response withDynamic Stiffness and Rational Approximation.
Forecasting Method.
Consistent Infinitesimal Finite-Element Cell Method Applied toBounded Medium.
DAMPING-SOLVENT EXTRACTION FOR DYNAMIC STIFFNESS AND INTERACTIONFORCE.
Fundamentals of Damping-Solvent Extraction Method.
DOUBLY-ASYMPTOTIC MULTI-DIRECTIONAL TRANSMITTING BOUNDARY.
Concept and Numerical Implementation of Doubly-AsymptoticMulti-Directional Transmitting Boundary.
Accuracy and Modelling Procedure of Doubly-AsymptoticMulti-Directional Transmitting Boundary.
Appendices.
References.
Index.
