Dynamic modeling and structural optimization of a bistable electromagnetic vibration energy harvester
Dynamic modeling and structural optimization of a bistable electromagnetic vibration energy harvester
复制标题
双稳态电磁振动能量收集器的动态建模和结构优化
DOI：
10.3390/en12122410
复制
发表时间：
2019
期刊：
影响因子：
3.2
通讯作者：
Ball Andrew D
中科院分区：
文献类型：
--
作者：
Zhang Bei;Zhang Qichang;Wang Wei;Han Jianxin;Tang Xiaoli;Gu Fengshou;Ball Andrew D
基于由柔性膜片和磁性弹簧组成的非线性系统，设计并优化了一种新型的电磁振动能量采集器。在一般几何非线性和磁场力作用下，建立了系统的大振幅横向振动方程。首先，数学模型，考虑到高阶非线性的非线性伽辽金方法给出的，被施加到一个膜与同轴磁铁质量和磁弹簧。其次，得到了基底简谐运动作用下薄膜的稳态振动响应，并在此基础上解析推导了考虑电磁效应的输出功率。在此基础上，对不同半径比和膜厚下的边界电磁场进行了宽频域的参数研究。结果表明，模型预测结果与有限元模拟结果和实验数据吻合较好。最后，利用所提出的高效求解方法，得到了具有相似柔性结构的多稳态能量采集器的优化设计策略。
A novel bistable electromagnetic vibration energy harvester (BEMH) is constructed and optimized in this study, based on a nonlinear system consisting mainly of a flexible membrane and a magnetic spring. A large-amplitude transverse vibration equation of the system is established with the general nonlinear geometry and magnetic force. Firstly, the mathematical model, considering the higher-order nonlinearities given by nonlinear Galerkin method, is applied to a membrane with a co-axial magnet mass and magnetic spring. Secondly, the steady vibration response of the membrane subjected to a harmonic base motion is obtained, and then the output power considering electromagnetic effect is analytically derived. On this basis, a parametric study in a broad frequency domain has been achieved for the BEMH with different radius ratios and membrane thicknesses. It is demonstrated that model predictions are both in close agreement with results from the finite element simulation and experiment data. Finally, the proposed efficient solution method is used to obtain an optimizing strategy for the design of multi-stable energy harvesters with the similar flexible structure.