Flexural vibration and buckling analysis of single-walled carbon nanotubes using different gradient elasticity theories based on Reddy and Huu-Tai formulations

• Autorzy: Karličić D. , Kozić P. , Pavlović R.

Identyfikatory

DOI

10.15632/jtam-pl.53.1.217

• Języki publikacji: EN

Abstrakty

EN

The aim of the present work is to analyze free flexural vibration and buckling of single-walled carbon nanotubes (SWCNT) under compressive axial loading based on different constitutive equations and beam theories. The models contain a material length scale parameter that can capture the size effect, unlike the classical Euler-Bernoulli or Reddy beam theory. The equations of motion of the Reddy and the Huu-Tai beam theories are reformulated using different gradient elasticity theories, including stress, strain and combined strain/inertia. The equations of motion are derived from Hamilton’s principle in terms of the generalized displacements. Analytical solutions of free vibration and buckling are presented to bring out the effect of the nonlocal behavior on natural frequencies and buckling loads. The presented theoretical analysis is illustrated by a numerical example, and the results are qualitatively compared by another results.

Słowa kluczowe

EN

natural frequency; critical buckling load; gradient elasticity theories; nonlocal behavior

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2015
• Tom: Vol. 53 nr 1
• Strony: 217--233
• Opis fizyczny: Bibliogr. 37 poz., rys., tab.

Twórcy

autor

Karličić D.

• Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia

autor

Kozić P.

• University of Niš, Department of Mechanical Engineering, Niš, Serbia

autor

Pavlović R.

• University of Niš, Department of Mechanical Engineering, Niš, Serbia

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