Vibration analysis of rotating pre-twisted cantilever plate by using the finite element method

Abstract EN

In this paper the finite element method has been used to determine the fundamental natural frequencies of a pre-twisted plate mounted on the periphery of a rotating disc.

Three dimensional, finite element programs was built using three nodded triangular shell element as a discretization element for cantilever plate, this element has six degrees of freedom at each node.

All formulations and computations are coded in (FORTRAN-77).

The investigation covers the effect of speed of rotation, disc radius, aspect ratio, pre-twist angle and skew angle on the vibration characteristics of rotating cantilever plate.

For this analysis, the initial stress effect (geometric stiffness) and other rotational effects except the corioles acceleration effect have been included.

The eigenvalues have been extracted by using simultaneous iteration technique.

Results shown that the natural frequencies increase when ; angular speed and disc radius are increases.