Free vibration and buckling analysis of functionally graded carbon nanotube-reinforced composite beams on Pasternak foundation under high-order shear deformation theory

YANG Lijun1,PENG Linxin2,CHEN Wei3

Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (2) : 1-11.

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PDF(1743 KB)
Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (2) : 1-11.

Free vibration and buckling analysis of functionally graded carbon nanotube-reinforced composite beams on Pasternak foundation under high-order shear deformation theory

  • YANG Lijun1,PENG Linxin2,CHEN Wei3
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Abstract

As a new generation of advanced composites, functionally graded carbon nanotube reinforced composite (FG-CNTRC) has been widely concerned by researchers because of their excellent mechanical properties. In this paper, the FG-CNTRC beam on Pasternak foundation is taken as the research object. Based on different high-order shear deformation theories, a meshless method with interpolation characteristics, the stable moving Kriging interpolation (SMKI) is applied to solve the free vibration and buckling problems of FG-CNTRC beam on Pasternak foundation. Based on stable Kriging interpolation and different high-order shear deformation theory, the displacement field of FG-CNTRC beam is derived. The free vibration and buckling control equations of FG-CNTRC beam on Pasternak foundation are obtained by using Hamilton principle and minimum potential energy principle respectively. The relevant program is compiled by MATLAB. The comparison between the solution in this paper and the analytical solution or the literature solution proves the effectiveness and accuracy of this method in calculating the free vibration and buckling of FG-CNTRC beam on Pasternak foundation. At the end of the paper, the effects of different high-order shear deformation theory, foundation coefficient and carbon nanotube volume fraction on the natural frequency and buckling critical load are also discussed.

Key words

functionally graded carbon nanotube-reinforced composite beam / stable moving kriging interpolation / different higher-order shear deformation theory / Pasternak foundation / free vibration / buckling

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YANG Lijun1,PENG Linxin2,CHEN Wei3. Free vibration and buckling analysis of functionally graded carbon nanotube-reinforced composite beams on Pasternak foundation under high-order shear deformation theory[J]. Journal of Vibration and Shock, 2024, 43(2): 1-11

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