Global sensitivity analysis of asymmetric energy harvesters

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

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

Parametric variability is inevitable in actual energy harvesters. It can significantly affect crucial aspects of the system performance, especially in harvesting systems that present geometric parameters, material properties, or excitation conditions that are susceptible to small perturbations. This work aims to develop an investigation to identify the most critical parameters in the dynamic behavior of asymmetric bistable energy harvesters with nonlinear piezoelectric coupling, considering the variability of their physical and excitation properties. For this purpose, a global sensitivity analysis based on orthogonal variance decomposition, employing Sobol indices, is performed to quantify the effect of the harvester parameters on the variance of the recovered power. This technique quantifies the variance concerning each parameter individually and collectively regarding the total variation of the model. The results indicate that the frequency and amplitude of excitation, asymmetric terms and electrical proprieties of the piezoelectric coupling are the most critical parameters that affect the mean power harvested. It is also

Mots clés: energy harvesting; nonlinear dynamics; sensitivity analysis; Sobol' indices; polynomial chaos expansion

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

João Norenberg, Americo Cunha Jr, Samuel da Silva, Paulo Varoto. Global sensitivity analysis of asymmetric energy harvesters. Nonlinear Dynamics, 2022, 109, pp.443-458. ⟨hal-03680077⟩