Structural detection of variation in Poisson's ratio: Monitoring system for zigzag double walled carbon nanotubes

Muzamal Hussain, Sehar Asghar, Hamdi Ayed, Mohamed A. Khadimallah, Adil Alshoaibi and Abdelouahed Tounsi

Abstract

In this paper, natural frequency curves are presented for three specific end supports considering distinct values of nonlocal parameter. The vibrational behavior of zigzag double walled carbon nanotubes is investigated using wave propagation with nonlocal effect. Frequency spectra of zigzag (12, 0) double walled carbon nanotubes have been analyzed with proposed model. Effects of nonlocal parameters have been fully investigated on the natural frequency against against variation of Poisson's ratio. A slow increase in frequencies against variation of Poisson's ratio also indicates insensitivity of it for suggested nonlocal model. Moreover, decrease in frequencies with increase in nonlocal parameter authenticates the applicability of nonlocal Love shell model. Also the frequency curves for C-F are lower throughout the computation than that of C-C curves.

Key Words

double-walled CNTs; Love shell theory; nonlocal parameter; Poisson's ratio; vibration

Address

Muzamal Hussain and Sehar Asghar: Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan Hamdi Ayed: Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Kingdom of Saudi Arabia/ Higher Institute of Transport and Logistics of Sousse, University Sousse, Tunisia Mohamed A. Khadimallah: Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 16273, Saudi Arabia/ Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia Adil Alshoaibi: Department of Physics, College of Science, King Faisal University, Al-Hassa, P.O Box, Hofuf, 31982, Saudi Arabia Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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