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Global sensitivity analysis of asymmetric energy harvesters

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Abstract

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 shown that the order of importance of the parameters can change according to the stability of the harvester’s dynamic response. In this way, a better understanding of the system under analysis is obtained since the study allows the identification of vital parameters that rule the change of dynamic behavior and therefore constitutes a powerful tool in the robust design, optimization, and response prediction of nonlinear harvesters.

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data availability

The data can be reproduced by the codes in STONEHENGE [14].

Code availability

The simulations reported in this paper used the computational code STONEHENGE—Suite for Nonlinear Analysis of Energy Harvesting Systems [38]. This code is available for free on GitHub [14].

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Funding

The authors gratefully acknowledge, for the financial support given to this research, the following Brazilian agencies: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)—Finance Code 001; São Paulo Research Foundation (FAPESP), Grant Number 19/19684-3; Brazilian National Council for Scientific and Technological Development (CNPq) grant number 306526/2019-0; Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ) Grants 210.167/2019, 211.037/2019 and 201.294/2021.

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Authors and Affiliations

  1. São Paulo State University, Ilha Solteira, São Paulo, Brazil

    João Pedro Norenberg & Samuel da Silva

  2. Rio de Janeiro State University, Rio de Janeiro, Rio de Janeiro, Brazil

    Americo Cunha Jr

  3. University of São Paulo, São Carlos, São Paulo, Brazil

    Paulo Sergio Varoto

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  1. João Pedro Norenberg
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  2. Americo Cunha Jr
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Correspondence to João Pedro Norenberg.

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Norenberg, J.P., Cunha, A., da Silva, S. et al. Global sensitivity analysis of asymmetric energy harvesters. Nonlinear Dyn 109, 443–458 (2022). https://doi.org/10.1007/s11071-022-07563-8

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