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Splitting of vibration mode in an imperfect submicron circular plate

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Abstract

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.

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Acknowledgements

This work is supported in part by The National Science Fund for Distinguished Young Scholars under Grants No. 11925205, in part by the National Natural Science Foundation of China under Grants No. 51921003, in part by the Natural Science Foundation of Jiangsu Province under Grant No. BK20171411, and in part by the Fundamental Research Funds for the Central Universities of China.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Jicheng Zhang, Lifeng Wang, Guoan Tai, Jianxin Zhou, Wei Sun, Haiyan Hu & Wanlin Guo

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  1. Jicheng Zhang
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Correspondence to Lifeng Wang.

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Zhang, J., Wang, L., Tai, G. et al. Splitting of vibration mode in an imperfect submicron circular plate. Acta Mech 232, 1729–1739 (2021). https://doi.org/10.1007/s00707-020-02932-z

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