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Structural Engineering and Mechanics
  Volume 22, Number 2, January30 2006 , pages 151-167
DOI: https://doi.org/10.12989/sem.2006.22.2.151
 


Free vibration analysis of rotating cantilever plates using the p-version of the finite element method
Sidi Mohammed Hamza-Cherif

 
Abstract
    A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson? ratio and the hub radius on the natural frequencies are investigated.
 
Key Words
    Fourier p-element; stretch displacement; gyroscopic effect; rotating plates.
 
Address
Department of Mechanical Engineering, Faculty of Engineering Sciences, University Abou Bekr Belkaid, 13000, Tlemcen, Algeria
 

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