Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems
Broadband energy harvesting from parametric vibrations of a class of nonlinear Mathieu systems
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DOI：
10.1063/1.4984059
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发表时间：
2017-06
影响因子：
4
通讯作者：
P. Alevras;S. Theodossiades;H. Rahnejat
中科院分区：
文献类型：
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作者：
P. Alevras;S. Theodossiades;H. Rahnejat
考虑了宽带振动能量采集中含有立方刚度分量的Mathieu方程的非线性动力学问题。数值积分的结果进行了比较，相应的解决方案的定期杜芬振子，这是广泛用于非线性能量采集模型。Duffing振子的使用表明，相关滞后现象的有效频率范围与非线性系数的值之间存在直接对应关系。因此，宽带能量采集器需要强非线性，特别是对于感兴趣的高频。这封信表明，参数激励系统的有效性不受相同的要求。在此基础上，建议参数激励系统可以是一个强大的宽带振动收获手段。
The nonlinear dynamics of Mathieu equation with the inclusion of a cubic stiffness component is considered for broadband vibration energy harvesting. Results of numerical integration are compared with the corresponding solution of a regular Duffing oscillator, which is widely used to model nonlinear energy harvesting. Use of Duffing oscillators has shown direct correspondence between the effective frequency range of the associated hysteretic phenomenon and the value of the nonlinearity coefficient. Due to that, a broadband energy harvester requires strong nonlinearity, especially for high frequencies of interest. This letter demonstrates that the effectiveness of parametrically-excited systems is not constrained by the same requirement. Based on this, it is suggested that parametrically-excited systems can be a robust means of broadband vibration harvesting.