Authors: Emmanuel F.C. Chimamkpam
Usual theory has it that large power is only attained by using large mass in harvesting of vibration energy. But can a heavy harvester be displaced at all or meaningfully under small vibration sources? Large mass means large materials with high costs, less ease of transportation and high difficulty of integration into portable technologies. Herein, a theory is proposed and validated for power as inversely proportional to mass but directly proportional to the stiffness of spring, meaning that large mass is not always needed. A further concept is established that more local gravity gives higher power but on condition that mass, spring stiffness and displacement amplitude of vibration source remain unchanged. Nonlinear multi-phase power spectrum arises when displacement amplitude of a vibration source is constant, whereas linear single-phase spectrum is the result when this amplitude fluctuates in non-zero gravity. All theoretical findings concur with results of real-life applications, giving new design pathways for high performance harvesters.
Comments: 15 pages of texts/equations and 11 pages of figures. DOI:10.5281/zenodo.3530639
[v1] 2019-11-15 06:15:04
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