Spectral analysis of a coupled bending-torsion beam energy harvester: asymptotic results

Autor:	Vales, Chris
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	This work is concerned with the spectral analysis of a piezoelectric energy harvesting model based on a coupled bending-torsion beam. After building the problem's operator setting and showing that the governing operator is nonselfadjoint with a purely discrete spectrum, we derive an asymptotic approximation of its spectrum. In doing so, we also prove that the addition of energy harvesting can be viewed as a weak perturbation of the underlying beam dynamics, in the sense that no piezoelectric parameters appear in the spectral approximation's first two orders of magnitude. We conclude by outlining future work based on numerical simulations. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.15635 Zobrazit plný text záznamu View this record from Arxiv