Output details
12 - Aeronautical, Mechanical, Chemical and Manufacturing Engineering
University of Sheffield : A - Mechanical engineering and Advanced manufacturing
Analysis of the vibrational mode spectrum of a linear chain with spatially exponential properties
The paper establishes a novel connection between mathematical analysis of multi-scale geometry and the nonlinear physics of fractals in continuum mechanics. It introduces a theoretical framework to tackle a wide class of dynamic problems with the scale hierarchy of their microstructure as a common feature. The fundamental research presented in this paper is the first attempt to create the mathematical description which will ultimately lead to implementations in strategic applications (e.g. medical diagnostic tools, weather changes simulation software or air and maritime pollution prediction tools).