FREE VIBRATION OF TAPERED FUNCTIONALLY GRADED CARBON NANOTUBE-REINFORCED COMPOSITE BEAMS USING A HIERARCHICAL BEAM ELEMENT

Authors

  • Trinh Thi Hien Institute of Mechanics, Vast

DOI:

https://doi.org/10.15625/2525-2518/57/6A/14643

Keywords:

Tapered FG-CNTRC beam, first-order shear deformation theory, hierarchical interpolation, beam element, free vibration

Abstract

Free vibration of tapered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) beams is investigated. The beams with four types of carbon nanotube distribution in the thickness, namely the uniform (UD-CNT), X-type (FGX-CNT), A-type (FGA-CNT) and O-type (FGO-CNT), are assumed to be linearly tapered in longitudinal direction by three different taper cases. Based on the first-order shear deformation theory, equations of motion with variable coefficients are derived from Hamilton’s principle. Using hierarchical functions to interpolate the displacement field, a two-node beam element with nine degrees of freedom is formulated and employed to compute frequencies of the beams. The accuracy of the derived formulation is confirmed by comparing frequencies obtained in the present work with the published data. The effects of the total CNT volume fraction, CNT distribution type, taper cases, taper ratio, aspect ratio, boundary conditions, etc., on the vibration characteristics of the beams are examined and discussed.

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Published

2020-03-25

How to Cite

Hien, T. T. (2020). FREE VIBRATION OF TAPERED FUNCTIONALLY GRADED CARBON NANOTUBE-REINFORCED COMPOSITE BEAMS USING A HIERARCHICAL BEAM ELEMENT. Vietnam Journal of Science and Technology, 57(6A), 107. https://doi.org/10.15625/2525-2518/57/6A/14643

Issue

Section

International Symposium on Engineering Mechanics 2019