This paper presents nonlinear dynamic response of carbon nanotube (CNT) cantilevers incorporating electrostatic forces and van der Waals interactions between the CNT and the conducting plane. The CNT cantilever models including geometric and inertial nonlinearities for predicting unexpected phenomena when the deflection of the CNT is increased. As a result, the CNT cantilever shows complex dynamic responses due to the applied voltage. At the low voltages, the cantilever has only linear response at fundamental resonance except the superharmonic response due to the harmonic excitation of electrostatic field. The secondary resonance response branches off through period-doubling (PD) bifurcation, and becomes softened through saddle-node (SN) bifurcation when the applied voltage is increased. After SN bifurcation, the lower branch of the solution near resonance loses its stability and becomes unstable. This theoretical finding can help the prediction of complex response of the nano-resonators.
Skip Nav Destination
ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 4–7, 2013
Portland, Oregon, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5599-7
PROCEEDINGS PAPER
Nonlinear Response of CNT Cantilever Based Nano-Resonators
Il Kwang Kim,
Il Kwang Kim
University of Seoul, Seoul, Korea
Search for other works by this author on:
Soo Il Lee
Soo Il Lee
University of Seoul, Seoul, Korea
Search for other works by this author on:
Il Kwang Kim
University of Seoul, Seoul, Korea
Soo Il Lee
University of Seoul, Seoul, Korea
Paper No:
DETC2013-13511, V008T13A035; 7 pages
Published Online:
February 12, 2014
Citation
Kim, IK, & Lee, SI. "Nonlinear Response of CNT Cantilever Based Nano-Resonators." Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 8: 22nd Reliability, Stress Analysis, and Failure Prevention Conference; 25th Conference on Mechanical Vibration and Noise. Portland, Oregon, USA. August 4–7, 2013. V008T13A035. ASME. https://doi.org/10.1115/DETC2013-13511
Download citation file:
5
Views
0
Citations
Related Proceedings Papers
Related Articles
Analysis of a Chaotic Electrostatic Micro-Oscillator
J. Comput. Nonlinear Dynam (January,2011)
Frequency Domain Identification of Tip-sample van der Waals Interactions in Resonant Atomic Force Microcantilevers
J. Vib. Acoust (July,2004)
Vibration Analysis of a Nonlinear System With Cyclic Symmetry
J. Eng. Gas Turbines Power (February,2011)
Related Chapters
Occlusion Identification and Relief within Branched Structures
Biomedical Applications of Vibration and Acoustics in Therapy, Bioeffect and Modeling
The Dynamic Response Analyse of Fuzzy-Random Truss under Stationary Stochastic Excitation
Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
Dynamic Behavior in a Singular Delayed Bioeconomic Model
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)