Based on Euler beam theory to evaluate the GHz frequencies versus length-to-radius ratios: Continuum model

Muzamal Hussain , Ahmed Obaid M. Alzahrani , Mohamed A. Khadimallah , Sami Alghamdi , Alireza Fatahi-Vajari , Abdelouahed Tounsi

Abstract

In this paper, the frequency behavior of armchair single walled carbon nanotubes is explored for the influence of length-radius ratio based on Euler beam theory. This continuum model is used to determine the frequencies under clampedclamped and clamped-free edge conditions. It is investigated that the frequency pattern is higher for higher indices of armchair single walled carbon nanotubes. For these two boundary conditions, the frequencies of clamped boundary condition are almost higher than the other condition. As frequencies deceases fastly for initial values of length-to-radius ratio. After that the frequency decreases and behaves moderately and linearly. The frequencies are shown in GHz throughout the study. The outcomes of results from computer software MATLAB are tested with other computational techniques and found valid.

Key Words

clamped-free; GHz frequencies; natural frequency; single walled carbon nanotubes

Address

(1) Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
(2) Ahmed Obaid M. Alzahrani — Physics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
(3) Ahmed Obaid M. Alzahrani — Center of Nanotechnology, King Abdulaziz University, Jeddah, Saudi Arabia
(4) Mohamed A. Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 11942, Saudi Arabia
(5) Sami Alghamdi — Electrical and Computer Engineering Department King Abdulaziz University, Jeddah, Saudi Arabia
(6) Alireza Fatahi-Vajari — Department of Mechanical Engineering, Shahryar Branch, Islamic Azad University, Shahryar, Iran
(7) Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
(8) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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