Sensitivity-based nonlinear restoring force identification of multistable piezoelectric energy harvesters
School of Mechanics and Safety Engineering, ZhengZhou University, Zhengzhou, People’s Republic of China
2 Department of Applied Mechanics and Engineering, Sun Yat-sen University, Guangzhou, People’s Republic of China
Accepted: 20 February 2022
Published online: 28 February 2022
Nonlinear restoring force has a significant influence on the nonlinear dynamic behavior of multistable piezoelectric energy harvesters. However, it is sometimes difficult in experiments to obtain the nonlinear restoring force accurately. Therefore, identifying the nonlinear restoring force is essential to analyze and optimize the multistable piezoelectric energy harvesters. In this paper, a novel approach is proposed to identify the nonlinear restoring force from time-domain voltage response sensitivity analysis. Firstly, the nonlinear restoring force identification is formulated as a nonlinear optimization problem whose goal function is just least squares of the misfit between the measured and calculated output. Sensitivity analysis and the trust region constraint are then introduced to get convergent solution iteratively. Numerical simulations are carried out based on several examples, and the results demonstrate the feasibility and accuracy of the proposed approach.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022