Stochastic Resonance of a Dielectric Elastomer Bistable System Driven by Multiplicative and Additive Gaussian White Noises
摘要
This work investigates stochastic resonance (SR) behavior of a dielectric elastomer bistable system subjected to additive and multiplicative white noises, with the purpose of determining how parametric variations inluence SR characteristics and inter-well transitions under noise disturbances arising from system operation.
MethodsFirstly, two mutually independent Gaussian white noises are introduced todielectric elastomer model, explicitly addressing unavoidable operational noise disturbances. Subsequently, system's joint probability density function is derived through energy-dependent stochastic averaging method. Finally, the closed-form analytical solutions for signal-to-noise ratio(SNR) and mean irst passage time (MFPT) are obtained by employing steepest descent method coupled with two-state model theory.
ResultsThrough visualization analysis of the analytical expressions for SNR and MFPT, we obtained three key indings: the non-monotonic dependence of SNR curve provides deinitive evidence for SR emergence; increasing the moving part mass coeficient enhances SR behavior, while elevating the additive and multiplicative noise intensities suppresses the system's resonant output; and enhanced additive noise intensity facilitates inter-Q1Q2 well transitions of the system particles. Furthermore, the above conclusions have been numerically validated using the statistical complexity, ensuring their feasibility and accuracy.
ConclusionThis study demonstrates that, in a dielectric elastomer bistable system, SR can be induced and modulated by parameter adjustment, with additive noise playing a distinct role in promoting inter-well dynamics. This inding offers theoretical insights for optimizing such systems in energy harvesting or sensing applications where noise is unavoidable.