窄带随机激励下具有时滞反馈的三稳态能量采集系统动力学分析

肖玉柱; 王若涵; 孙中奎; 赵楠楠

doi:10.21656/1000-0887.450237

窄带随机激励下具有时滞反馈的三稳态能量采集系统动力学分析

doi: 10.21656/1000-0887.450237

1. 长安大学理学院，西安 710064;
2. 西北工业大学数学与统计学院，西安 710129

基金项目:

国家自然科学基金(12302033)

详细信息

作者简介:
肖玉柱（1980—），男，副教授，博士，硕士生导师(E-mail: yuzhuxiao@chd.edu.cn);赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).

通讯作者:
赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).

中图分类号: O322|O324
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出版历程
- 收稿日期: 2024-08-29
- 修回日期: 2024-10-16
- 网络出版日期: 2025-06-30

Dynamics of a Tri-Stable Energy Harvesting System With Time-Delay Feedback Under Narrow-Band Random Excitation

1. School of Sciences, Chang’an University, Xi’an 710064, P.R.China;
2. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710129, P.R.China

Funds:

The National Science Foundation of China(12302033)

摘要

摘要: 提出了一种窄带随机激励下具有时滞反馈控制的三稳态能量采集器.首先，利用多尺度方法得到了能量采集系统在主共振附近的稳态响应.然后, 采用矩方法推导出了系统的一阶与二阶非平凡稳态矩, 并通过Monte-Carlo仿真验证了其准确性.最后, 基于上述稳态响应矩, 探讨了系统参数对能量采集性能的影响.研究结果表明：非线性刚度系数的增加可以扩大能量采集系统的工作带宽, 窄带随机激励强度的增加可以使能量采集系统的输出电压增大, 压电耦合项的增加将导致振幅的二阶稳态矩减小, 进而有利于实现能量采集器的小型化设计.此外, 当控制反馈增益为负值时，既有利于实现能量采集器的小型化设计，又能有效地增大系统的功率输出.相关结果可为进一步探索和优化能量采集系统提供一定的理论参考.
- 非线性动力学 /
- 三稳态压电能量采集 /
- 时滞反馈 /
- 随机激励
Abstract: A tri-stable energy harvester with time-delay feedback control under narrow-band random excitation was proposed. The steady-state responses of the energy harvesting system near the main resonance were obtained with the multi-scale method. Moreover, the 1st-order and 2nd-order nontrivial steady-state moments of the system were derived with the moment method, and their accuracy was also verified through the Monte Carlo simulations. Based on the above steady-state response moments, the effects of system parameters on the performances of the energy harvester were discussed in detail. The results show that, increasing the nonlinear stiffness coefficient can enlarge the working bandwidth of the energy harvester system, while increasing the narrowband random excitation intensity can enhance the output voltage of the energy harvester. The 2nd-order steady-state moments visibly decrease with the piezoelectric coupling term, which indicates that a larger piezoelectric coupling term is beneficial to the miniaturization of energy harvesters. Furthermore, a negative control feedback gain is beneficial to realize the miniaturization design of the energy harvester and increase the power output of the system effectively. The findings provide a theoretical basis for further exploration and optimization of energy harvesting systems.
- carbon fibre composite /
- micromechanics /
- shape effect /
- interphase effect

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参考文献(30)

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窄带随机激励下具有时滞反馈的三稳态能量采集系统动力学分析

doi: 10.21656/1000-0887.450237

作者简介:
肖玉柱（1980—），男，副教授，博士，硕士生导师(E-mail: yuzhuxiao@chd.edu.cn);赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).

通讯作者:
赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).

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Dynamics of a Tri-Stable Energy Harvesting System With Time-Delay Feedback Under Narrow-Band Random Excitation

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窄带随机激励下具有时滞反馈的三稳态能量采集系统动力学分析

doi: 10.21656/1000-0887.450237

作者简介: 肖玉柱（1980—），男，副教授，博士，硕士生导师(E-mail: yuzhuxiao@chd.edu.cn);赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).

通讯作者: 赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).

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出版历程

Dynamics of a Tri-Stable Energy Harvesting System With Time-Delay Feedback Under Narrow-Band Random Excitation

计量

出版历程

目录

作者简介:
肖玉柱（1980—），男，副教授，博士，硕士生导师(E-mail: yuzhuxiao@chd.edu.cn);赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).

通讯作者:
赵楠楠（1991—），男，副教授，博士，硕士生导师(通讯作者. E-mail: nzhao@chd.edu.cn).