磁力双稳态压电悬臂梁俘能器的非线性振动特性研究

摘要

为研究双稳态压电俘能系统的相关特性,首先,建立了外界激励作用下双稳态压电悬臂梁俘能系统的等效数学模型;其次,运用谐波平衡法计算获得了系统的动力响应方程,通过绘制的动力响应曲线发现了系统中幅值与功率的解均存在跳跃现象和多解的不稳定区域;最后,分析比较了不同参数对系统动力响应的影响特性.研究结果为优化双稳态压电悬臂梁俘能器的设计和应用提供了理论依据.%In order to study the characteristics of bi-stable piezoelectric energy harvesting system,this paper is primarily focused on constructing the equivalent mathematical model of bi-stable piezoelectric cantilever energy harvesting systems under external excitation.Secondly,adopting the harmonic balance method,the equations of dynamic response were derived.The dynamic response curves show the jump phenomenon and the unstable region of multiple solutions.Finally,the effects of different parameters on the dynamic response of the system were analyzed and compared.The numerical results provide a theoretical basis for the optimal design and application of bi-stable piezoelectric cantilever energy harvesting system.