Study and analysis of a tapered shaft in composite materials with variable speed of rotation

Rachid Zahi , Abderahmane Sahli , Djafar Ait Kaci , Fouad Bourada , Abdelouahed Tounsi , Mofareh Hassan Ghazwani

Abstract

This paper presents a mechanical model of a "tapered composite shaft" rotating at a constant speed around its axis. The spatial equations of motion are solved using the Lagrange technique, and a finite element approach is employed to construct the model. Theoretical analysis is used to compute the kinetic and strain energies. A comparison is made between conventional finite element methods and hierarchical finite element methods, indicating that the former uses fewer elements and provides higher accuracy in determining natural frequencies. Numerical calculations are performed to determine the eigen frequencies and critical speeds of the rotating composite shaft. The critical speeds of composite shaft systems are compared with existing literature to validate the proposed model.

Key Words

energy of deformation; finite element method; natural frequencies; shear deformation; tapered composite; vibration

Address

Rachid Zahi — Laboratory of Mechanics of Structures and Solids (LMSS), University of Relizane, Algeria
Abderahmane Sahli — Department of Mechanical Engineering, University of Djillali Liabes Sidi Bel Abbes, 22000, Algeria
Djafar Ait Kaci — Department of Mechanical Engineering, University of Djillali Liabes Sidi Bel Abbes, 22000, Algeria
Fouad Bourada — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Science and Technology Department, Faculty of Science and Technology, Tissemsilt University, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Civil and Environmental Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia; Interdisciplinary Research Center for Construction and Building Materials, KFUPM, 31261 Dhahran, Saudi Arabia
Mofareh Hassan Ghazwani — Department of Mechanical Engineering, Faculty of Engineering, Jazan University, P.O Box 45124, Jazan, Kingdom of Saudia Arabia

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