Modeling and analytical solution of piezoelectric cantilevered energy harvester with a new dynamic magnifier
Received:June 10, 2016  Revised:November 20, 2016
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DOI:10.7511/jslx201705018
KeyWord:piezoelectric cantilevered beam  energy harvesting  new dynamic magnifier  distributed parameter  analytical solution
     
AuthorInstitution
唐礼平 合肥工业大学 土木与水利工程学院, 合肥
王建国 合肥工业大学 土木与水利工程学院, 合肥
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Abstract:
      In order to improve the efficiency of piezoelectric vibration energy harvesting,a cantilevered piezoelectric vibration energy harvester is proposed.The new cantilevered piezoelectric energy harvester consists of a new dynamic magnifier (a translation-and rotation-restrained spring-mass system) installed at the restrained end and a tip mass at the free end.Taking into account the translation and rotation-restrained stiffness,and the distribution effect of the tip mass over a finite length,a distributed parameter model of piezoelectric cantilevered energy harvesters is developed by using the generalized Hamilton's principle.The eigen-function and natural frequency formulation of the presented model are obtained.The efficiency of energy harvesting is investigated.The analytical results show that the accuracy of predicting energy harvesting efficiency can be improved by considering the eccentricity of mass and moment of inertia.A reasonable selection of the translational and rotational spring stiffness can improve energy harvesting efficiency,and reduce the resonant frequency of the energy harvesting system.