Sobol global sensitivity analysis on a bistable energy harvester

João Pedro C V Norenberg , Americo Cunha Jr (1) , Samuel da Silva (2) , Paulo Sergio Varoto (3)

1 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]
2 UNESP - Universidade Estadual Paulista Júlio de Mesquita Filho = São Paulo State University
3 USP - Universidade de São Paulo = University of São Paulo

This work deals with a global sensitivity analysis in the nonlinear dynamics of a bistable piezo-magneto-elastic energy harvester. The objective is to evaluate the degree of influence of each input parameter variation, as well as their joint effect, on the system response. The global sensitivity analysis method used is the Sobol index, which is based on the idea of orthogonally decompose the total variance of the system response into a sum of conditional variances. The Monte Carlo-based analysis provides a detailed overview about the influence of the physical parameters on the energy recovering process in periodic and chaotic dynamic regimes.

Domaines: Vibrations [physics.class-ph]; Dynamique Chaotique [nlin.CD]; Probabilités [math.PR]; Statistiques [math.ST]; Génie mécanique [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]

João Pedro C V Norenberg, Americo Cunha Jr, Samuel da Silva, Paulo Sergio Varoto. Sobol global sensitivity analysis on a bistable energy harvester. 25th International Congress of Theoretical and Applied Mechanics (ICTAM 2020+1), Aug 2021, Milano, Italy. ⟨hal-03338659⟩