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Advances in Aircraft and Spacecraft Science
  Volume 5, Number 1, January 2018 , pages 051-71

Dynamic calculation of a tapered shaft rotor made of composite material
Zahi Rachid, Refassi Kaddour and Habib Achache

    This work proposes a theoretical and numerical study on the behavior of a tapered shaft rotor made of composite materials by the classical version h and the version p of the finite element method. Hierarchical form functions are used to define the model. The purpose of this paper is to determine the expressions of the kinetic and potential energies of the tree necessary for the results of the equations of motion. A comparison between the version h and the p version of the finite element method of the functions of polynomial and trigonometric hierarchical forms with six degrees of freedom per node, of a composite tapered and cylindrical shaft which rotates at a constant speed about its axis. It is found that when the number of functions of form (the version p) is increased, the solution converges. It is also observed that the conicity of the shaft increases the rigidity with respect to a uniform shaft having the same mechanical properties. The numerical simulation allowed us to determine the natural frequencies and the critical speeds of the composite shaft systems are compared with those available in the literature and the effectiveness of the methods used are discussed.
Key Words
    fibre composite multilayer plates; vibration; Structural mechanics; rotordynamics; dynamic analysis
Zahi Rachid and Refassi Kaddour: Laboratory of Mechanics of Structures and Solids LMSS, University of Sidi Bel Abbes, Algeria
Habib Achache: University Dr Yahia Fares Médéa, Algerie

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