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Nonlinear analysis for dual-frequency concurrent energy harvesting

机译：双频并发能量采集的非线性分析

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The dual-frequency responses of the hybrid energy harvester undergoing the base excitation and galloping were analyzed numerically. In this work, an approximate dual-frequency analytical method is proposed for the nonlinear analysis of such a system. To obtain the approximate analytical solutions of the full coupled distributed-parameter model, the forcing interactions is first neglected. Then, the electromechanical decoupled governing equation is developed using the equivalent structure method. The hybrid mechanical response is finally separated to be the self-excited and forced responses for deriving the analytical solutions, which are confirmed by the numerical simulations of the full coupled model. The forced response has great impacts on the self-excited response. The boundary of Hopf bifurcation is analytically determined by the onset wind speed to galloping, which is linearly increased by the electrical damping. Quenching phenomenon appears when the increasing base excitation suppresses the galloping. The theoretical quenching boundary depends on the forced mode velocity. The quenching region increases with the base acceleration and electrical damping, but decreases with the wind speed. Superior to the base-excitation-alone case, the existence of the aerodynamic force protects the hybrid energy harvester at resonance from damages caused by the excessive large displacement. From the view of the harvested power, the hybrid system surpasses the base-excitation-alone system or the galloping-alone system. This study advances our knowledge on intrinsic nonlinear dynamics of the dual-frequency energy harvesting system by taking advantage of the analytical solutions.
机译：数值分析了混合动力能量采集器在基础激励和驰豫下的双频响应。在这项工作中，提出了一种近似双频分析方法，用于这种系统的非线性分析。为了获得全耦合分布参数模型的近似解析解，首先要忽略强迫相互作用。然后，使用等效结构方法建立了机电解耦控制方程。最终将混合机械响应分离为自激响应和强迫响应，以得出解析解，这通过全耦合模型的数值模拟得到了证实。强迫反应对自激反应有很大的影响。霍普夫分叉的边界由疾驰的开始风速解析确定，该速度随电阻尼线性增加。当增加的基极激励抑制舞动时，会出现淬火现象。理论上的淬灭边界取决于强制模式速度。淬火区域随基本加速度和电阻尼而增加，但随风速而减小。优于仅单独进行基础激励的情况，空气动力的存在可保护混合能量收集器在共振时免受过度大位移引起的损坏。从收获的能量来看，混合动力系统超越了单独的基本励磁系统或单独的疾驰系统。这项研究通过利用解析解，提高了我们对双频能量采集系统的固有非线性动力学的认识。

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