To improve the harvesting performance of bi-stable energy harvesters, this paper proposes a novel bi-stable piezoelectric energy harvester which consists of a piezoelectric cantilever beam with a tip magnet and a movable magnet. The movable magnet connects to the base through a spring and is allowed to move along the spring compression direction. The nonlinear distributed parameters dimensionless mathematic model of the harvester is derived based on Hamilton’s principle. The effects of excitation amplitude, excitation frequency, spring stiffness and Gaussian white noise on harvesting performance are analyzed by applying bifurcation diagram, phase trajectory, Poincare map and power output. The numerical simulations show that the proposed energy harvesting system reduces the potential barrier and makes the snap-through motion easier. It is demonstrated that the proposed energy harvester provides wider bandwidth and higher efficiency than the typical bi-stable energy harvester when subjected to low excitation amplitudes or low excitation frequencies.

为了提高双稳态能量采集器的采集性能，本文提出了一种新型的双稳态压电能量采集器，其由具有尖端磁体和可移动磁体的压电悬臂梁组成。可动磁体通过弹簧连接到基座，并被允许沿着弹簧压缩方向移动。基于汉密尔顿原理，推导了收割机的非线性分布参数无因次数学模型。运用分叉图，相轨迹，庞加莱图和功率输出，分析了激励幅度，激励频率，弹簧刚度和高斯白噪声对收割性能的影响。数值模拟表明，所提出的能量收集系统减少了势垒，并使快速移动变得更加容易。