Capability Assessment and Geometric Tuning of A Bistable Electromagnetic Energy Harvesting System Via Global Dynamic Analysis
摘要
We present a vibration energy harvesting (VEH) system with a vertically oscillating mass coupled to horizontal springs via rigid linkages. Global dynamics analysis evaluates harvesting efficacy and identifies optimal configurations.
MethodsStatic bifurcation analysis elucidates the underlying principle of the bistable configurations. The extended averaging method quantifies intra-well and cross-well resonances. Runge-Kutta integration and the cell-mapping approach numerically characterize the global dynamics of the bistable VEH system, including concurrent steady states, output histories, and basin topologies.
Results and ConclusionsUnder specific structural and material parameter conditions, geometric tuning of the parameter b (spring-end half spacing) precisely modulates the potential barrier height, transitioning the system from deep-well to shallow-well bistability. Deep-well configurations (achieved at minimal values of parameter b) exhibit rare and hidden cross-well steady states, trapped within severely eroded basins of attraction that demand impractical initial-condition precision within the safe basin. Conversely, shallow-well designs eliminate concerns regarding such safe-basin constraints. While a submaximalb design provides marginally greater and more dependable output during high-intensity base vibrations, the maximal b setup manifests outstanding adaptability to low-frequency ambient vibrations, a wider environmentally relevant frequency spectrum, and sustained stable output under low-to-medium vibration amplitudes. The outcomes guide excitation-adaptive customization of VEH systems to maximize efficiency in low-frequency operational regimes.