Modeling and Vibration Analysis of Carbon Nanotubes as Nanomechanical Resonators for Force Sensing
Abstract
:1. Introduction
2. Modeling Procedures
2.1. Nonlocal Continuum Beam Model
2.2. Solution of Governing Equations
- (1)
- If , we obtain
- (2)
- If
- (1)
- for a fixed left end
- (2)
- for a free right end
- (3)
- for continuous conditions at the supporting position ,
- (4)
- for continuous conditions at the supporting position ,
3. Simulation Results and Discussion
4. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Natsuki, J.; Lei, X.-W.; Wu, S.; Natsuki, T. Modeling and Vibration Analysis of Carbon Nanotubes as Nanomechanical Resonators for Force Sensing. Micromachines 2024, 15, 1134. https://doi.org/10.3390/mi15091134
Natsuki J, Lei X-W, Wu S, Natsuki T. Modeling and Vibration Analysis of Carbon Nanotubes as Nanomechanical Resonators for Force Sensing. Micromachines. 2024; 15(9):1134. https://doi.org/10.3390/mi15091134
Chicago/Turabian StyleNatsuki, Jun, Xiao-Wen Lei, Shihong Wu, and Toshiaki Natsuki. 2024. "Modeling and Vibration Analysis of Carbon Nanotubes as Nanomechanical Resonators for Force Sensing" Micromachines 15, no. 9: 1134. https://doi.org/10.3390/mi15091134