Young's modulus distribution as intelligent control estimation with smart structure

Ikram Ahmad , Sana Shahzadi , Mohamed A. Khadimallah , Hamdi Ayed , Rana Muhammad Akram Muntazir , Muzamal Hussain , Abir Mouldi , Sehar Asghar , Bazal Fatima , Waheed Iqbal , Fatima Zahra , Essam Mohammed Banoqitah

Abstract

The calculation of the natural frequencies versus Young's modulus of carbon nanotubes with modified continuum shell is the subject of current research. When designing these tubes, it is important to understand their frequencies because excessive vibrations might cause fatigue. These tubes are designed and built to meet specific needs and have been suitably modified to investigate their vibratory response. There are numerous uses for carbon nanotube free vibration analysis in the mechanical sciences. The fundamental frequency with Young's modulus for clamped-free and simply supported end conditions, which is connected to the carbon nanotubes, is calculated theoretically for chiral single carbon nanotubes. When Young's modulus rises, so does the frequency curve pattern. Young's modulus influences the single-walled carbon nanotube's dynamic response by simulating it as a modified continuum shell. The Young's modulus of chiral tube and the value of frequency increased as the chiral tube's index increased. The results are checked against past studies to ensure the problem's validity and are determined to be accurate.

Key Words

distinct boundary conditions; dynamic response; frequency; material parameters; stress-stain curves

Address

(1) Ikram Ahmad, Sana Shahzadi, Bazal Fatima — Department of Chemistry, University of Sahiwal, Sahiwal, 57000, Pakistan
(2) Mohamed A. Khadimallah — Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
(3) Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
(4) Rana Muhammad Akram Muntazir — Department of Mathematics, Lahore Leads University, 54792, Lahore, Pakistan
(5) Muzamal Hussain — Department of Mathematics, University of Sahiwal, Sahiwal, 57000, Pakistan
(6) Abir Mouldi — Department of Industrial Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
(7) Sehar Asghar, Waheed Iqbal — Department of Mathematics, Government College University Faisalabad, 38000, Faisalabad, Pakistan
(8) Fatima Zahra — School of Science, Department of Mathematics, University of Management and Technology (UMT), Pakistan
(9) Essam Mohammed Banoqitah — Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah P.O. Box 80204, Jeddah 21589, Saudi Arabia.

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