Dynamic Analysis of Rotating Cantilever Plates

Abstract

A finite elements technique has been used to determine the natural frequencies of a cantilever plate mounted on the periphery of a rotating disc. The rotating cantilever plate has been idealized as an assemblage of three nodded triangular shell elements with six degree of freedom at each node. In the analysis the initial stress effect (geometric stiffness) and other rotational effects expect the carioles acceleration effect have been included.The eigenvalues have been extracted by using simultaneous iteration technique. From the results of computations carried out for various values of the aspect ratio, the speed of rotation, disc radius and the setting angle. The numerical results have shown a good agreement compared with the available investigations using other methods.

Keywords

• Finite element
• natural frequency
• geometric stiffness
• rotating plate.