Pulse propagation in an exponentially-graded spring-mass system
Abstract
Exact analytical expressions for the positions of masses in a clamped, exponentially-graded coupled spring-mass system subjected to an initial localized disturbance are obtained using Fourier decomposition and the solution of linear difference equations. The dispersion relation is obtained along the way, and deviations from the homogeneous lattice results are noted.
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Physics linkfest: Spanning science & technology
23-25 October 2013, University of San Carlos, Cebu City