Microtech 2011

Lumped Modeling of Carbon Nanotubes for M/NEMS Simulation

R. Bansal, J.V. Clark
Purdue University, US

Keywords: carbon nanotubes, NEMS, lumped modeling, Sugar, SugarCube


The construction and analysis of the CNT structure is extremely difficult and requires expertise in nanostructure physics. This limits access to molecular dynamics specialists and does not allow the exploration of CNTs as components of a system. Moreover, currently no application exists for the evaluation of their deformation behavior under applied loading. We develop a computer program to simulate the design and response of Single/Multi-walled carbon nanotubes with desired chirality, length, radius, and interlayer spacing. This structural mechanics based lumped model is implemented in SUGAR and SugarCube. It uses a combination of reduced order sections, linked at their terminals, or nodes. Each section is a rolled up hexagonal graphene sheet, and has six degrees of freedom at each terminal. The linear beam model available in SUGAR2.0 is modified to develop the beam model for CNT. Our model requires the user to input the chirality, overall length, interlayer spacing and loading conditions on the CNT. It models the CNT structure and simulates its dynamic response for small non-linear loading. Our current dynamic model is limited to small deflections, which does not account for local bucking. The CNT model will be freely available online at www.nanoHUB.org.

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