含弹性碰撞作用的双级双稳态结构振动能量采集研究  

Vibration energy harvesting performance of a dual-stage bistable structure with elastic collision

作　　者：郝玉涛 苏克玮 杨恺 HAO Yu-tao;SU Ke-wei;YANG Kai(School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China;Shanghai Embed Intelligent Technology Co.Ltd.,Shanghai 201100,China;School of Aerospace Engineering,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]北京理工大学宇航学院,北京100081 [2]上海盈蓓德智能科技有限公司,上海201100 [3]华中科技大学航空航天学院,湖北武汉430074

出　　处：《振动工程学报》2022年第6期1364-1370,共7页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(11802097)。

摘　　要：提出了一种含弹性碰撞作用的双级双稳态结构(以下简称“碰撞双级双稳态结构”)。碰撞双级双稳态结构是由双稳态非线性级和线性级组成的两自由度串联结构。其中,双稳态级通过斜置弹簧引入双稳态非线性弹簧恢复力,并通过在该级中心线两侧的振子运动轨道上分别布置弹簧引入弹性碰撞作用。通过该碰撞作用,显著增强双稳态级的大幅度跨阱振动响应,提高振动能量采集效率。建立了无碰撞双级双稳态结构的振动力学模型,并通过实验验证了该模型。在此基础上,通过对弹性碰撞部分建模,得到碰撞双级双稳态结构的振动力学方程。基于实验中的参数,开展碰撞双级双稳态结构的数值仿真研究。结果表明,相比无弹性碰撞的双级双稳态结构,碰撞双级双稳态结构能显著提高振动能量采集性能,例如在3.3 m/s2的激励幅值下,结构带宽增加超过10倍(1150.0%),最大功率提升168.2%。通过数值仿真,给出典型激励频率下的系统振动相轨迹图,分析碰撞双级双稳态结构的非线性动力学特性。通过参数分析,揭示弹性碰撞距离和布置的对称性对系统性能的影响规律。In this paper a dual-stage bistable structure with elastic collision(DSBSEC)is proposed,which is a two-degree-of-freedom(DOF)structure consisting of a bistable nonlinear stage and linear stage.The bistable nonlinear restoring force is introduced into the bistable stage by the oblique spring.The elastic collision is introduced by the springs installed on vibrator motion track on the either side of the centerline.Owing to the collision,the large-amplitude inter-well oscillation of the bistable stage is significantly enhanced,leading to a better vibration energy harvesting performance.A dynamic model of the dual-stage bistable structure(DSBS)without the elastic collision is presented,which is experimentally validated.Based on the dynamic model,the governing equations of the DSBSEC are deduced.Using the parameters of the experiment,the numerical simulations of the DSBSEC are performed.The results show that,compared to the DSBS,the DSBSEC can significantly improve the vibration energy harvesting performance,e.g.,the bandwidth is broadened by over ten times(1150.0%)and the maximum generated power is improved by168.2%when the excitation amplitude is 3.3 m/s2.Through the numerical simulations,the nonlinear dynamic features of the proposed structure are thoroughly discussed,where the structural phase portraits with respect to some excitation frequencies are given.The parametric study reveals how the system performance is influenced by the collision distance and symmetry.

关 键 词：非线性振动 弹性碰撞 能量采集 双稳态 跨阱振动 

分 类 号：O322[理学—一般力学与力学基础] TM919[理学—力学]