Free vibration of agglomerated carbon nanotube reinforced composite sandwich beam using an enriched finite beam element
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https://doi.org/10.15625/2525-2518/17640Keywords:
CNTRC sandwich beam, CNT agglomeration, free vibration, enriched interpolation, finite element methodAbstract
Free vibration of carbon nanotube reinforced composite (CNTRC) sandwich beams,
taking into account the effect of CNT agglomeration, is studied using an efficient beam element.
The sandwich beams consist of three layers, a homogeneous core and two agglomerated CNTRC
face sheets with material properties being estimated by the Eshelby-Mori-Tanaka approach. Based
on the trigonometric shear deformation theory, a finite beam element is formulated and used to
construct the discretized equation of motion for the beams. To improve the efficiency of the
element, hierarchical functions are employed to enrich the conventional Lagrange and Hermite
interpolation functions. The numerical investigation shows that the formulated beam element is
efficient, and it is capable to give accurate natural frequencies by using a small number of
elements. It is also foundation the frequencies of the beams are significantly influenced by the
CNT agglomeration, and the increase of CNT reinforcement may not be useful for the beam with
severe CNT agglomeration. A parametric study is carried out to investigate the effects of the
agglomeration, the volume fraction of CNTs as well as the layer thickness ratio on the vibration
of the sandwich beams.
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