With utilizing of the wearable electronics in daily life, the energy harvesting problem of the electronic devices has become an urgent problem. In this paper, the dynamic behaviour of the energy harvester, which is constructed by bonding piezoelectric ribbons on a pre-strained compliant substrate, is investigated. Taking the geometrical nonlinearity into account, and by using the extended Lagrange equations, the governing equations of the buckled piezoelectric energy harvester are derived. To obtain the steady-state dynamic responses of the governing equations, the harmonic balance method is used. The analytical solutions, which predict the influences of the pre-strain and substrate’s Young’s modulus on the dynamic response of the energy harvester, are obtained. Several numerical examples are carried out to discuss the effects of the pre-strain and substrate’s Young’s modulus on energy harvester dynamic performance. By modulating those two parameters, the high-energy orbit of the buckled structure would be modulated, which is helpful for improving the voltage output performance of the energy harvesting. The results of this paper would be useful for the optimization of energy harvester based on the buckled piezoelectric ribbon-substrate structure.

随着日常生活中使用可穿戴电子设备，电子设备的能量收集问题已经成为迫在眉睫的问题。本文研究了能量收集器的动态行为，该能量收集器是通过将压电带粘结在预应变的柔性基板上而构成的。考虑到几何非线性，并使用扩展的拉格朗日方程，推导了屈曲压电能量收集器的控制方程。为了获得控制方程的稳态动态响应，使用了谐波平衡法。获得了可以预测预应变和基体的杨氏模量对能量收集器动态响应的影响的分析解决方案。进行了几个数值示例，以讨论预应变和基体的杨氏模量对能量收集器动态性能的影响。通过调制这两个参数，可以对带扣结构的高能轨道进行调制，这有助于提高能量采集的电压输出性能。本文的研究结果对于基于弯曲压电带状衬底结构的能量收集器的优化将是有用的。