The effects of ring and fraction laws: Vibration of rotating isotropic cylindrical shell

Mohamed A. Khadimallah, Muzamal Hussain, Mohamed Elbahar, E. Ghandourah, Elaloui Elimame and Abdelouahed Tounsi

Abstract

This paper deals with the specific influence of three different fraction laws for vibrational analysis of rotating cylindrical shells. The rotating cylindrical shells are stabilized by ring-stiffeners to increase the stiffness and strength. Isotopic materials are the constituents of these rings. The frequencies are investigated versus circumferential wave number, length- and height-to- radius ratios using three volume fraction laws. Moreover, the effect of rotation speed is investigated. It is examined that the backward and forward frequencies increase and decrease on increasing the ratio of height- and length-to-radius ratio. When the position of ring supports increases, the backward and forward frequency first increases and obtains its maximum value at the shell mid length position and then decreases and get a bell shape with clamped-clamped and clamped-free conditions. The assessment of present model is judged with the comparison of non-rotating and rotating results with former exploration.

Key Words

clamped condition; fraction laws; ring; rotating

Address

Mohamed A. Khadimallah: Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia/ Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan Mohamed Elbahar: Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia E. Ghandourah: Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia Elaloui Elimame: Laboratory of Materials Applications in Environment, Water and Energy LR21ES15, Faculty of Sciences, University of Gafsa, Tunisia 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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