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Earthquakes and Structures Volume 24, Number 4, April 2023 , pages 237-245 DOI: https://doi.org/10.12989/eas.2023.24.4.237 |
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An innovative fraction laws with ring support: Active vibration control of rotating FG cylindrical shell |
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Mohamed A. Khadimallah, Abdelhakim Benslimane, Imene Harbaoui, Sofiene Helaili, Muzamal Hussain, Mohamed R. Ali, Zafer Iqbal and Abdelouahed Tounsi
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| Abstract | ||
| Based on novel Galerkin's technique, the theoretical study gives a prediction to estimate the vibrations of FG rotating cylindrical shell. Terms of ring supports have been introduced by a polynomial function. Three different laws of volume fraction are utilized for the vibration of cylindrical shells. Variation frequencies with the locations of ring supports have been analyzed and these ring supports are placed round the circumferential direction. The base of this approach is an approximate estimation of eigenvalues of proper functions which are the results of solutions of vibrating equation. Each longitudinal wave number corresponds to a particular boundary condition. The results are given in tabular and graphical forms. By increasing different value of height-to-radius ratio, the resulting backward and forward frequencies increase and frequencies decrease on increasing length-to-radius ratio. There is a new form of frequencies is obtained for different positions of ring supports, which is bell shaped. Moreover, on increasing the rotating speed, the backward frequencies increase and forward frequencies decreases. | ||
| Key Words | ||
| backward and forward; cylindrical shell; location of ring; simply supported | ||
| Address | ||
| Mohamed A. Khadimallah: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia Abdelhakim Benslimane: Laboratoire de Mécanique Matériaux et Énergétique (L2ME), Département Génie Mécanique, Faculté de Technologie, Université de Bejaia, 06000 Bejaia, Algérie Imene Harbaoui: Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis El Manar- -ENIT BP37- Le belvédère, 1002, Tunisia Sofiene Helaili: 1) Carthage University, Tunisia Polytechnic School, LASMAP (LR03ES06), La Marsa, Tunisia, 2) Carthage University, ISTEUB, Tunis, Tunisia Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan Mohamed R. Ali: 1) Faculty of Engineering and Technology, Future University in Egypt New Cairo 11835, Egypt, 2) Basic Engineering Science Department, Benha Faculty of Engineering, Benha University, Benha, Egypt Zafer Iqbal: Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan Abdelouahed Tounsi: 1) YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea, 2) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals,31261 Dhahran, Eastern Province, Saudi Arabia | ||