Development of orthotropic Winkler-like model for rotating cylindrical shell: Stability analysis

Mohamed Amine Khadimallah , Muzamal Hussain , Yahya Ahmad , Elaloui Elimame , Abdelouahed Tounsi

Abstract

Vibration investigation of rotating functionally graded cylindrical shells with fraction laws is studied here. Shell motion equations are framed according to the orthotropic Winkler-like model. For isotropic materials, the physical properties are same everywhere where the laminated and functionally graded materials, they vary from point to point. The influence of the polynomial, exponential and trigonometric fraction laws is investigated with simply supported condition. Also the variations have been plotted against the circumferential wave mode, length-to-radius and height-to-radius ratio. Moreover, backward and forward frequency pattern is observed increasing and decreasing for the various position of angular speed. The frequency first increases and gain maximum value for circumferential wave number. It is also exhibited that the effect of frequencies is investigated by varying the surfaces with stainless steel and nickel as a constituent material. The frequencies of trigonometric law is less than remaining laws.

Key Words

circumferential wave mode; FGM; length-to-radius ratio; simply supported; Winkler-like model

Address

Mohamed Amine Khadimallah — 1.) Department of Civil Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj, 16273, Saudi Arabia 2.) 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 Ahmad Yahya: Nuclear Engineering Department, 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 — 1.) 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

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