The nonlinear dynamics of a bistable energy harvesting system with colored noise disturbances

Vinicius Lopes (1) , João Peterson (1) , Americo Cunha Jr (1)

1 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]

This paper deals with the nonlinear stochastic dynamics of a piezo-electric energy harvesting system subjected to a harmonic external excitation disturbed by a Gaussian colored noise. A parametric analysis is conducted, where the effects of the standard deviation and the correlation time of colored noise on the system response are investigated. The numerical results suggests a strong influence of noise on the system response for higher values of correlation time and standard deviation, and a low (noise level independent) influence for low values of correlation time.

Mots clés: piezoelectricity; stochastic dynamics; energy harvesting; bistable systems; nonlinear dynamics

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

Vinicius Lopes, João Peterson, Americo Cunha Jr. The nonlinear dynamics of a bistable energy harvesting system with colored noise disturbances. Journal of Computational Interdisciplinary Sciences, 2019, 10, pp.125. ⟨10.6062/jcis.2019.10.03.0166⟩. ⟨hal-02010224v1⟩