1.北京工业大学 机电学院，北京 100124;2.机械结构非线性振动与强度北京市重点实验室，北京 100124
1.College of Mechanical Engineering，Beijing University of Technology，Beijing 100124，China;2.Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures，Beijing University of Technology，Beijing 100124，China
The project supported by the National Natural Science Foundation of China(11672007)
A two-dimensional gyroscopic phononic crystal was proposed. The unit cell of this crystal was composed of a gyroscope, an outer frame and four springs. In the unit cell, only angular motions due to gyro rotation were considered, and translations were ignored. Using the angular momentum theorem, the dynamic equation of the unit cell was established. By solving this dynamic equation, the dispersion relation was obtained and the band gap characteristic was revealed. Then, by changing the structural parameters, the variation of the band gap could be observed, and thus the influence of structural parameters on the band gap was presented. Finally, the existence of band gaps was verified by the numerical method, which showed that the 2D gyroscopic phononic crystal can effectively attenuate the torsional vibration when the frequency falls into the band gap.
李夏临,杨晓东,张伟.二维陀螺声子晶体结构力学研究[J].动力学与控制学报,2020,18(4):79~85; Li Xialin, Yang Xiaodong, Zhang Wei. ANALYSIS OF DYNAMICS CHARACTERISTICS OF 2-D GYROSCOPE PHONONIC CRYSTAL[J]. Journal of Dynamics and Control,2020,18(4):79-85.复制