An innovative system for novel vibration of rotating FG shell with combination of fraction laws

Mohamed Amine Khadimallah , Muzamal Hussain , Faisal Al-Thobiani , Mohamed Elbahar , Abdullah F. Al Naim , Elaloui Elimame , Imene Harbaoui , Abdelouahed Tounsi

Abstract

A new model with the combination of the Galerkin's technique have been developed for functionally graded cylindrical shell. For the vibrations of rotating cylindrical shells, three volume fraction laws i.e., polynomial, trigonometric and exponential are combined mathematically. The obtained results show that by increasing length-to-radius and height-to-radius ratios, the backward and forward frequency value decreases and increases, respectively. Moreover, on increasing the rotating speed, the backward frequencies increases and forward frequencies decreases. The results generated furnish the evidence regarding applicability of present model with clamped-clamped boundary conditions and also verified by earlier published literature.

Key Words

clamped-clamped; frequency response; rotating speed; volume fraction laws

Address

Mohamed Amine Khadimallah — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan; Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Faisal Al-Thobiani — Marine Engineering Department, Faculty of Maritime Studies, King Abdulaziz University, Jeddah, Saudi Arabia
Mohamed Elbahar — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 16273, Saudi Arabia
Abdullah F. Al Naim — Department of Physics, College of Science, King Faisal University, P.O. Box 400,Al-Ahsa 31982, Saudi Arabia
Elaloui Elimame — Laboratory of Materials Applications in Environment, Water and Energy LR21ES15, Faculty of Sciences, University of Gafsa, Tunisia
Imene Harbaoui — Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis EI Manar-ENIT BP37- Le belvedere, 1002, Tunis
Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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