Vibration analysis of nanotubes based on two-node size dependent axisymmetric shell element

• Autorzy: Soleimani I. , Beni Y. T.

Identyfikatory

DOI

10.1016/j.acme.2018.04.009

• Języki publikacji: EN

Abstrakty

EN

In this paper, size dependent axisymmetric shell element formulation is developed by using the modified couple stress theory in place of classical continuum theory. Since the study of nanoshells is conducted in nanodimensions, the mechanical properties of nanoshells are size dependent; therefore, taking into consideration the size effect, nonclassical continuum theories are used. In the present work the mass–stiffness matrix for axisymmetric shell element is developed, and by means of size-dependent finite element, the formulation is extended to more precisely account for nanotube vibration. It is shown that the classical axisymmetric shell element can also be defined by setting length scale parameter to zero in the equations. The results show that the rigidity of the nanoshell in the modified couple stress theory is greater than that in classical continuum theory, which leads to the increase in natural frequencies. The findings also indicate that the developed size dependent axisymmetric shell element is able to cover both cylindrical and conical shell elements and is reliable for simulating micro/nanoshells. Using size dependent axisymmetric shell element increases convergence speed and accuracy in addition to reducing the number of the required elements.

Słowa kluczowe

EN

modified couple stress theory; axisymmetric shell element; FEM; conical shell model; size effect

PL

model powłoki; naprężenia; powłoka

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2018
• Tom: Vol. 18, no. 4
• Strony: 1345--1358
• Opis fizyczny: Bibliogr. 21 poz., tab., wykr.

Twórcy

autor

Soleimani I.

• Department of Mechanical Engineering, Shahrekord University, Shahrekord, Iran

autor

Beni Y. T.

• Faculty of Engineering, Shahrekourd University, Shahrekord, Iran
• Nanotechnology Research Center, Shahrekord University, Shahrekord, Iran

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)