白噪声激励下势阱深度对双稳态系统发电性能的影响研究  

Influence of Potential Well Depth on Power Generation Performance of Bistable System Excited by White Noise

作　　者：刘丽兰[1] 张小静[1] Liu Lilan;Zhang Xiaojing(School of Mechanical and Instrumental Engineering,Xi′an University of Technology,Xi′an 710048,China)

机构地区：[1]西安理工大学机械与精密仪器工程学院,西安710048

出　　处：《机械科学与技术》2018年第9期1336-1343,共8页Mechanical Science and Technology for Aerospace Engineering

基　　金：陕西省自然科学基金项目(2016JM5020)资助

摘　　要：以含附加线性振子的双稳态电磁式振动能量捕获器为研究对象,建立了高斯白噪声激励下考虑势阱深度的双稳态系统无量纲控制方程,将双稳态系统的势阱深度转化为刚度系数比值。借助数值仿真,分析了在不同的噪声强度下刚度系数比值对双稳态系统的发电性能影响,获得了不同噪声强度下的最优刚度系数比值。以不同噪声强度下使双稳态系统产生最大输出功率的势阱深度为目标,连续变化质量比和调频比参数,获得了此时仍可产生大功率输出的最佳参数配置范围。研究结果可为双稳态电磁式振动能量捕获系统的工程实现提供理论基础。The electromagnetic vibration energy harvester with auxiliary linear oscillator subject to white noise excitation is studied and the dimensionless governing equation is obtained in the paper.The depth of the potential well of the bistable vibration harvester system is related with the stiffness ratio.And the depth of the potential well is expressed by the stiffness ratio.The effect law of the depth of potential well on the power generation of the bistable system under different noise intensity is obtained.And the different optimum stiffness ratio corresponding to different noise intensity is got by means of simulation.The optimum mass ratio and tuning frequency ratio range corresponding to different noise intensity and different depth of the potential well are obtained by making the mass ratio and tuning frequency ratio change continuously.The research results can provide a basis for the study of the bistable electromagnetic vibration energy harvester.

关 键 词：双稳态系统 势阱深度 高斯白噪声 参数配置 均方根功率 

分 类 号：O322[理学—一般力学与力学基础]