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二维三角陀螺声子晶体的波调控研究
引用本文:王伟能,杨晓东,张伟. 二维三角陀螺声子晶体的波调控研究[J]. 动力学与控制学报, 2021, 19(1): 73-77. DOI: 10.6052/1672-6553-2020-039
作者姓名:王伟能  杨晓东  张伟
作者单位:北京工业大学机电学院,北京100124;北京工业大学机电学院,北京100124;北京工业大学机电学院,北京100124
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目)
摘    要:本文研究了一种二维三角陀螺声子晶体,采用拉格朗日方程对结构进行建模,推导出动力学方程.通过调节陀螺转速,可以控制结构的色散关系,并获得较大的带隙,从而可以将其用来进行振动控制和噪声抑制.从色散曲面等频截线发现波在结构中的传播方向会随频率变化,在低频时各向同等传播,高频时则出现六个集中的传播方向.通过数值计算验证了理论获得的带隙的准确性.

关 键 词:陀螺  声子晶体  带隙  振动控制  波调控
收稿时间:2019-10-09
修稿时间:2020-03-16

Study on manipulation of waves in 2-D traingular gyroscope phononic crystals
Wang Weineng,Yang Xiaodong,Zhang Wei. Study on manipulation of waves in 2-D traingular gyroscope phononic crystals[J]. Journal of Dynamics and Control, 2021, 19(1): 73-77. DOI: 10.6052/1672-6553-2020-039
Authors:Wang Weineng  Yang Xiaodong  Zhang Wei
Affiliation:(College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China)
Abstract:In this paper, 2-D triangular gyroscope phononic crystals were studied. The dynamic equations were deduced through Lagrangian equation. Dispersion properties is controlled by changing spin rate of gyros and a sizable band gap appears, which can be used to control vibration and reduce noise. Propagation directions of waves vary with frequencies. Waves travel in all directions at low frequencies, and six centralized directions at high frequencies. Band gap were verified by numerical simulations.
Keywords:gyroscope   phononic crystals   band gap   vibration control  waves manipulation
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