Variation of natural frequencies by circular saw blade rotation

Abstract

In this paper the influence of circular saw blade rotation, slot shapes and number of slots on its natural frequencies and critical speeds is investigated. Firstly, the governing equation that describes the transverse vibrations of a stationary circular plate clamped at its centre is derived using Hamilton’s principle and based on Kirchhoff-Love plate theory and von Karman strain theory. The results are then compared with the ones obtained using FEM method and the FEM method is then applied to the real circular saw blade model. Finally, influence of slot shapes and number of slots on natural frequencies and critical speeds is investigated.