Piecewise Potential Function双稳定能量收集器非线性动态特性分析

Sung-Hak Bae, Kim Pilkee
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摘要

本文提出了一种带有分段势能函数的双稳态能量收集器(BEH),以提高其能量收集性能。首先建立了分段BEH (PWBEH)系统的数学模型,并在此基础上进行了一系列的数值模拟,以研究系统的非线性动力学行为和能量收集性能。将所提出的PWBEH系统的分析结果与传统的BEH系统(CBEH)进行了比较。频率响应结果表明,由于分段势能函数的作用,PWBEH的井间运动具有刚度软化特性,这与chbeh的刚度硬化特性相反。井间运动的这种软化行为往往会降低BEH的工作频率,同时显著提高输出功率。这一观察结果表明,在BEH中引入分段势函数将有利于系统设计,以牺牲冗余频带为代价来提高能量收集性能,冗余频带取决于环境振动源的特性。
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Piecewise Potential Function을 갖는 쌍안정 에너지 수확기의 비선형 동특성 해석
In this study, a bistable energy harvester (BEH) with a piecewise potential function is proposed to improve its energy harvesting performance. A mathematical model of the piecewise BEH (PWBEH) system is established first and a series of numerical simulation are performed, based on the developed model, in order to investigate the nonlinear dynamic behaviors and energy-harvesting performance of the system. The analysis results for the proposed PWBEH system are compared with a conventional BEH (CBEH). The frequency response results show the stiffness-softening interwell motion of the PWBEH, due to the piecewise potential energy function, which is contrary to the stiffness-hardening behavior of the CBEH. Such softening behavior of interwell motion tends to reduce the operating frequency of the BEH, while significantly increasing the output power. This observation indicate that the introduction of the piecewise potential function to a BEH would be beneficial to the system design for enhancing enegy-harvesting performance at the cost of redundant frequency band, which depends on the characteristics of environmental vibration sources.
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