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本文引用格式:李夏临,杨晓东,张伟.二维分布式陀螺结构带隙特性研究[J].动力学与控制学报,2019,17(5):425~431;   Li Xialin,Yang Xiaodong,Zhang Wei.Band characteristics of 2-D gyroscope phononic crystal[J].Journal of Dynamics and Control,2019,17(5):425-431.
二维分布式陀螺结构带隙特性研究    点此下载全文
李夏临  杨晓东  张伟
北京工业大学 机电学院, 北京 100124;机械结构非线性振动与强度北京市重点实验室, 北京 100124,北京工业大学 机电学院, 北京 100124;机械结构非线性振动与强度北京市重点实验室, 北京 100124,北京工业大学 机电学院, 北京 100124;机械结构非线性振动与强度北京市重点实验室, 北京 100124
基金项目:国家自然科学基金面上项目(11672007)
DOI:10.6052/1672-6553-2019-069
摘要:
      本文研究了一种二维分布式陀螺结构的扭转振动的能带结构特性.该结构原胞由陀螺、外框架、扭转弹簧组成,通过角动量定理得到动力学方程,再由Bloch定理得到色散关系并分析其能带结构特性.在理论上研究了三个重要的结构参数:角动量、转动惯量、扭转刚度对能带结构的影响,同时通过数值方法对带隙特性进行分析,所得数值结果与理论结果吻合较好,证明了结构中带隙的存在.
关键词:声子晶体,陀螺,带隙,振动控制
Band characteristics of 2-D gyroscope phononic crystal    Download Fulltext
Li Xialin  Yang Xiaodong  Zhang Wei
Fund Project:
Abstract:
      The band structure of torsional vibration in a 2 D discrete gyroscope phononic crystal was studied. The unit cell consists of a gyroscope, frame, and torsional springs. The governing equations of the unit cell and the dispersion relationship were derived using the angular momentum theorem and Bloch′s theorem, respectively, and the characteristics of band structure were also analyzed. The effects of critical parameters on the band structure, such as angular momentum, moment inertia, and torsional stiffness, were studied theoretically. Moreover, the band structure was also calculated by numerical method, and the results agree well with the theoretical prediction, which validates the existence of band gap in this phononic crystal.
Keywords:phononic crystals,gyroscope,band gaps,vibration control
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