Seminario

Seminario Matemática Aplicada

Dynamical Energy Analysis - Describing vibrational energy distributions using ray-tracing and transfer operators

Ponente:  Martin Richter (University of Nottingham, School of Mathematical Sciences)
Fecha:  martes 08 de marzo de 2022 - 13:00
Online:  us06web.zoom.us/j/86852879585 (ID: 868 5287 9585)

Resumen:

Dynamical Energy Analysis is a ray-based method to describe the high-frequency vibrational behaviour of complex mechanical systems ranging from gear boxes over car bodies to whole ship hulls. Instead of using three coupled partial differential equations and solve them with Finite-Element-Methods, we use transfer operators to describe ray dynamics on these complicated domains.  After a short introduction of the method and some of its recent applications, we will address the convergence properties using simple example geometries, a proof for the latter and investigate the role of coexisting integrable and chaotic ray dynamics.