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Pull-in instability and vibration of quasicrystal circular nanoplate actuator based on surface effect and nonlocal elastic theory

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Abstract

With excellent electrical and mechanical properties, multi-layer structures containing quasicrystals (QCs) have gradually used in the new generation of information technology and semiconductor fields. Currently most studies on QC nanostructures focus on static rather than dynamic behaviors. Based on the nonlocal theory and Gurtin–Murdoch surface elasticity, a dynamic model of nano-QC circular plate actuator under electromechanical loads is established. The plates are clamp-supported around and the electrostatic and Casimir forces between the plates are considered in this paper. When the applied voltage reaches a certain value, the deformation of the plate will suddenly increase sharply and become unstable. The numerical solution of the governing equation is obtained by using the generalized differential quadrature method. The instability deformation, the frequency, and electrostatic driving voltage of the nanoplate with different nonlocal parameters and machining residual stress are discussed. The results show that the sensitivities of circular plates with different geometric parameters and material constants characterizing the nanoscale effect are different.

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Acknowledgements

The authors would deeply appreciate the support from the National Natural Sciences Foundation of China (Grant Nos. U2067220, 51779139, and 82000980).

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Authors and Affiliations

  1. Department of Engineering Mechanics, State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yunzhi Huang & Miaolin Feng

  2. School of Aeronautics & Astronautics, Shanghai Jiao Tong University, Shanghai, 200240, China

    Xiuhua Chen

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  1. Yunzhi Huang
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Correspondence to Miaolin Feng or Xiuhua Chen.

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Huang, Y., Feng, M. & Chen, X. Pull-in instability and vibration of quasicrystal circular nanoplate actuator based on surface effect and nonlocal elastic theory. Arch Appl Mech 92, 853–866 (2022). https://doi.org/10.1007/s00419-021-02077-y

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