噪声与振动控制2018，Vol.38Issue(z1)：210-214,5.DOI:10.3969/j.issn.1006-1355.2018.Z1.044
基于半解析法的一维圆锥形声学黑洞梁能量聚集效应研究
Analysis of the Energy Concentration Effect of Flexural Vibrations in Tapered Rods with Power-law Profile based on Semi-analytical Method
摘要
Abstract
The acoustic black hole (ABH) effect is the phenomenon that the wave velocity decreases gradually to zero without reflection when the bending wave propagates in wedge-shaped structure, and the energy is completely concentrated on the tip of the wedge structure. This phenomenon makes this sort of structure to have a great potential of application in the fields of vibration reduction and energy recovery. In this paper, the physical model was established for dynamics analysis of a tapered rod structure with ABH. The wavelet function was adapted to fit the deflection curve of the rod. Furthermore, the dynamic equation of the system was established based on the Lagrange equation. Then, the vibration response was obtained by solving the dynamic equation. The results of analysis and calculation show that compared with the uniform rod structure, this rod structure with ABH can effectively suppress the vibration. Further comparison of the vibration response of the wedged beam and the tapered rod shows that both of them own similar effect on vibration reduction, but the energy accumulation effect of the tapered rod is better than that of the wedged beam.关键词
振动与波/声学黑洞/锥形梁/半解析法/小波函数/动力响应Key words
vibration and wave/acoustic black hole/tapered rod/semi-analytical method/wavelet function/dynamic response分类
数理科学引用本文复制引用
曾鹏云,郑玲,左益芳,邓杰..基于半解析法的一维圆锥形声学黑洞梁能量聚集效应研究[J].噪声与振动控制,2018,38(z1):210-214,5.基金项目
国家重点研发计划资助项目(2016YFB0100904, 2017YFB0102603) （2016YFB0100904, 2017YFB0102603）
重庆市重点产业共性关键技术创新专项资助(cstc2015jcyjBX0097 （）
csts2015zdcy-ztzx30001) （）
