Journal
MECCANICA
Volume 51, Issue 5, Pages 1027-1039Publisher
SPRINGER
DOI: 10.1007/s11012-015-0289-7
Keywords
Nonlinear; Energy harvesting; White noise; Optimization
Categories
Funding
- National Science Foundation [1055419]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1055419] Funding Source: National Science Foundation
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This paper investigates the electric load optimization of a nonlinear mono-stable Duffing energy harvester under white noise excitations considering symmetric and asymmetric nonlinear restoring forces. Statistical linearization is utilized to obtain approximate analytical expressions for the statistical averages including the average output power, which is then optimized with respect to the electric load. It is shown that the optimal load is dependent on the nonlinearity unless the ratio between the period of the mechanical system and the time constant of the harvesting circuit is large. Furthermore, it is demonstrated that, under optimal electric loading, a mono-stable Duffing harvester with a symmetric nonlinear restoring force can never produce higher average power levels than an equivalent linear harvester regardless of the magnitude of the nonlinearity. On the other hand, asymmetries in the restoring force are shown to provide performance improvements over an equivalent linear harvester.
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