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A Pseudo-Rigid-Body Model for Large Deflections of Fixed-Clamped Carbon Nanotubes

Author(s)
Howell, Larry L.; Di Biasio, Christopher M; Cullinan, Michael Arthur; Panas, Robert M; Culpepper, Martin
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Abstract
Carbon nanotubes (CNTs) may be used to create nanoscale compliant mechanisms that possess large ranges of motion relative to their device size. Many macroscale compliant mechanisms contain compliant elements that are subjected to fixed-clamped boundary conditions, indicating that they may be of value in nanoscale design. The combination of boundary conditions and large strains yield deformations at the tube ends and strain stiffening along the length of the tube, which are not observed in macroscale analogs. The large-deflection behavior of a fixedclamped CNT is not well-predicted by macroscale large-deflection beam bending models or truss models. Herein, we show that a pseudo-rigid-body model may be adapted to capture the strain stiffening behavior and, thereby, predict a CNT's fixed-clamped behavior with less than 3% error from molecular simulations. The resulting pseudo-rigid-body model may be used to set initial design parameters for CNT-based compliant mechanisms. This removes the need for iterative, time-intensive molecular simulations during initial design phases. Keywords: compliant mechanism; pseudo-rigid-body; flexure; carbon nanotube; molecular simulations; nanomechanical; nanoelectromechanical
Date issued
2010-07
URI
http://hdl.handle.net/1721.1/118976
Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Journal
Journal of Mechanisms and Robotics
Publisher
ASME International
Citation
Howell, Larry L. et al. “A Pseudo-Rigid-Body Model for Large Deflections of Fixed-Clamped Carbon Nanotubes.” Journal of Mechanisms and Robotics 2, 3 (2010): 034501 © 2010 ASME
Version: Final published version
ISSN
1942-4302

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