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Splitting of vibration mode in an imperfect submicron circular plate
Acta Mechanica ( IF 2.7 ) Pub Date : 2021-02-22 , DOI: 10.1007/s00707-020-02932-z
Jicheng Zhang , Lifeng Wang , Guoan Tai , Jianxin Zhou , Wei Sun , Haiyan Hu , Wanlin Guo

The dynamics of micro-/nanoscale plates are extremely sensitive to external conditions. Here, the vibration of a submicron-thick circular plate exposed to its ambient environment was investigated. The obtained results indicate that the vibration behavior of circular plates shows a strong dependence on the surrounding conditions. Mode pair splitting was observed in a vibration experiment. One crucial influence factor is the asymmetry due to exposure to an ambient environment. Therefore, numerical analyses were performed to identify the vibration of a circular plate due to symmetry breaking. A detailed finite element analysis revealed that symmetry breaking can lead not only to the splitting of some pairs of modes but also to shifts in natural frequencies. In addition, the relationships between the asymmetry and the frequency shift were identified together with the differences in the mode pairs for the circular plates. This study should be of great help for understanding the vibration of submicron plates and the design of submicron-scale resonators and biological sensors.



中文翻译:

不完美的亚微米圆板的振动模式分裂

微米/纳米级板的动力学对外部条件极为敏感。在此,研究了暴露于周围环境的亚微米级圆形板的振动。所得结果表明,圆板的振动行为与周围条件密切相关。在振动实验中观察到模式对分裂。一个关键的影响因素是由于暴露于周围环境引起的不对称性。因此,进行了数值分析以识别由于对称破坏而引起的圆板的振动。详细的有限元分析表明,对称性破坏不仅会导致某些模式对的分裂,而且还会导致自然频率的漂移。此外,确定了不对称性和频率偏移之间的关系,以及圆形板的模式对之间的差异。这项研究对于理解亚微米板的振动以及亚微米级谐振器和生物传感器的设计应有很大帮助。

更新日期:2021-02-23
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