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Pull-in instability of multilayered quasicrystal cantilever nanoactuator with bonding imperfections based on nonlocal theory

Yunzhi Huang, Huayong Zheng, Xiuhua Chen and Miaolin Feng

Vol. 18 (2023), No. 4, 479–502

Quasicrystal (QC) nanostructures are promising for use as sensors/detectors in nanoelectromechanical systems. For this application, size dependence, surface loading, and interlaminar bonding imperfections should be considered in the theoretical analysis. Herein, the pull-in instability of a QC cantilever nanoactuator incorporating the piezoelectric effect, size effect, and nanoscale interactions is investigated on the basis of nonlocal elasticity theory. The nonlinear equilibrium differential equation of the model is derived using the variational method of the virtual displacement principle. The electrostatic instability and freestanding of nanoactuators under electrostatic and intermolecular forces are analyzed. In numerical examples, the pull-in phonon and phason displacements decrease with the increment of piezoelectric modulation voltage. The pull-in instability of the model occurs faster with the existence of the nonlocal effect, Casimir force, and interfacial imperfections. The displacement in the phason field is more sensitive to the initial gap than that in the phonon field. The results show the sensitivity and reliability of QCs as piezoelectric materials in cantilever nanoactuators.

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nanoactuator, multilayered cantilever, quasicrystals, nonlocal effect, pull-in instability
Received: 12 September 2022
Revised: 17 January 2023
Accepted: 4 March 2023
Published: 30 May 2023
Yunzhi Huang
Department of Engineering Mechanics
School of Naval Architecture, Ocean and Civil Engineering
Shanghai Jiao Tong University
Huayong Zheng
Shanghai Institute of Aerospace System Engineering
Xiuhua Chen
School of Aeronautics and Astronautics
Shanghai Jiao Tong University
Miaolin Feng
Department of Engineering Mechanics
School of Naval Architecture, Ocean and Civil Engineering
Shanghai Jiao Tong University