Zhang Qichang, Yan Yucheng, Han Jianxin, Hao Shuying, Wang Wei
Tianjin Key Laboratory of Nonlinear Dynamics and Control, School of Mechanical Engineering, Tianjin University, Tianjin 300350, China.
Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin 300222, China.
Sensors (Basel). 2022 Nov 3;22(21):8453. doi: 10.3390/s22218453.
The parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad-stable energy harvester (QEH). Firstly, a novel QEH system utilizing the geometric nonlinearity of springs is proposed. Static bifurcation analysis is carried out to design quad-stable working conditions. To investigate the cross-well and high-energy vibration, the complex dynamic frequency (CDF) method, suitable for both weakly and strongly nonlinear dynamic problems, is then applied to deduce the primary response solution. By using the unfolding analysis in singularity theory, four steady-state properties and dozens of primary resonance modes are demonstrated. Based on the transition set, the effective bandwidth for energy harvesting can be customized to adapt well to various vibration environments by parametric adjustment. Finally, the experimental tests verify that the output power can reach up to 1 mW. The proposed QEH and its mechanics optimization can guide energy supply for next-generation wireless systems and low-power sensors under magnetic forbidding environments.
多稳态能量采集器的参数调谐对于提高采集效率至关重要。本文应用分岔理论定量揭示结构参数对四稳态能量采集器（QEH）静力学和动力学的影响。首先，提出了一种利用弹簧几何非线性的新型QEH系统。进行静态分岔分析以设计四稳态工作条件。为了研究跨阱和高能振动，随后应用适用于弱非线性和强非线性动力学问题的复动态频率（CDF）方法来推导主响应解。通过奇点理论中的展开分析，展示了四个稳态特性和数十个主共振模式。基于过渡集，可以通过参数调整定制能量采集的有效带宽，以很好地适应各种振动环境。最后，实验测试验证输出功率可达1 mW。所提出的QEH及其力学优化可为下一代无线系统和磁禁环境下的低功率传感器的能量供应提供指导。
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