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.
The wave propagation and band gap tuning of 2-D triangular gyroscope phononic crystals were studied.The dynamic equations were derived through Lagrangian Equation.Dispersion properties were controlled by changing the spin rate of gyros and a sizable band gap was fulfilled,which could be used to control vibration and reduce noise.More⁃over,the results showed that the wave propagation directions vary with frequencies.Waves travel in all directions at low frequencies,while in six centralized directions at high frequencies.Finally,the theoretical predication on band gap was verified by numerical simulations.
作者
王伟能
杨晓东
张伟
Wang Weineng;Yang Xiaodong;Zhang Wei(College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China)
出处
《动力学与控制学报》
2021年第1期75-79,共5页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(11972050)。
关键词
陀螺
声子晶体
带隙
振动控制
波调控
gyroscope
phononic crystals
band gap
vibration control
wavs manipulation
