Effect of stochastic excitation on sub-harmonic solutions in a bistable energy harvester

Americo Cunha Jr (1) , Grzegorz Litak (2) , Piotr Wolszczak (2)

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 Lublin University of Technology

Broadband frequency energy harvesting systems are based on nonlinear resonators. Ambient kinetic energy is transformed to electric energy by a piezoelectric patch installed on the elastic beam. In this paper we study a bistable energy harvester consisted of the resonator with some nonlinearities induced by magnets. The system is excited with the combined effect of the frame harmonic and stochastic motions. Starting from initial conditions with minimum energy we observe considerable improvement of performance of the system in the presence of stochastic excitation component. Our initial calculations clearly indicate the existence of stochastic bifurcations in that system.

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

Americo Cunha Jr, Grzegorz Litak, Piotr Wolszczak. Effect of stochastic excitation on sub-harmonic solutions in a bistable energy harvester. International Conference of Numerical Analysis and Applied Mathematics ICNAAM 2020, Sep 2020, Rhodes, Greece. pp.410003, ⟨10.1063/5.0081318⟩. ⟨hal-03640224⟩