Effect of chiral structure for free vibration of DWCNTs: Modal analysis

Sehar Asghar , Muhammad N. Naeem , Mohamed Amine Khadimallah , Muzamal Hussain , Zafar Iqbal , Abdelouahed Tounsi

Abstract

In this paper, vibration attributes of chiral double-walled carbon nanotubes (CNTs) based on nonlocal elastic shell model have been investigated. The impact of small scale is being perceived by establishing Flügge shell model. The wave propagation is engaged to frame the ruling equations as eigen value system. The influence of nonlocal parameter subjected to different end supports has been overtly examined. A suitable choice of material properties and nonlocal parameter been focused to analyze the vibration characteristics. The new set of inner and outer tubes radii investigated in detail against aspect ratio and length. The dominance of boundary conditions via nonlocal parameter is shown graphically. Whereas for lower aspect ratio the frequencies coincide but as it continues to expand the difference between all respective boundary conditions slightly tend to increase. The results generated furnish the evidence regarding applicability of nonlocal shell model and also verified by earlier published literature.

Key Words

vibration; nonlocal parameter; double-walled CNTs; Flügge shell model

Address

Sehar Asghar — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Muhammad N. Naeem — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Mohamed Amine Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 11942, Saudi Arabia
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Zafar Iqbal — Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan; Department of Mathematics, University of Mianwali, Punjab, Pakistan
Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia; Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department, Algeria

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