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Advances in Aircraft and Spacecraft Science Volume 10, Number 1, January 2023 , pages 19-49 DOI: https://doi.org/10.12989/aas.2023.10.1.019 |
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Dynamic analysis of a functionally graded tapered rotating shaft under thermal load via differential quadrature finite elements method |
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Fethi Hadjoui, Ahmed Saimi, Ismail Bensaid and Abdelhamid Hadjoui
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| Abstract | ||
| The present study proposes a theoretical and numerical investigation on the dynamic response behaviour of a functional graded (FG) ceramic-metal tapered rotor shaft system, by the differential quadrature finite elements method (DQFEM) to identify the natural frequencies for modelling and analysis of the structure with suitable validations. The purpose of this paper is to explore the influence of heat gradients on the natural frequency of rotation of FG shafts via three-dimensional solid elements, as well as a theoretical examination using the Timoshenko beam mode, which took into account the gyroscopic effect and rotational inertia. The functionally graded material's distribution is described by two distribution laws: the power law and the exponential law. To simulate varied thermal conditions, radial temperature distributions are obtained using the nonlinear temperature distribution (NLTD) and exponential temperature distribution (ETD) approaches. This work deals with the results of the effect on the fundamental frequencies of different material's laws gradation and temperature gradients distributions. Attempts are conducted to identify adequate explanations for the behaviours based on material characteristics. The effect of taper angle and material distribution on the dynamic behaviour of the FG conical rotor system is discussed. | ||
| Key Words | ||
| DQFEM; exponential temperature distribution; functionally graded material; non-linear temperature distribution; rotor dynamics; tapered shaft | ||
| Address | ||
| Fethi Hadjoui: IS2M Laboratory, Faculty of Technology, University of Tlemcen, Algeria Ahmed Saimi: IS2M Laboratory, Faculty of Technology, University of Tlemcen, Algeria; National Higher School of Hydraulic, Blida, Algeria Ismail Bensaid: IS2M Laboratory, Faculty of Technology, University of Tlemcen, Algeria Abdelhamid Hadjoui: IS2M Laboratory, Faculty of Technology, University of Tlemcen, Algeria | ||
