In-plane response of a rotating annular disk under fixed concentrated edge loads

Abstract

This paper investigates the in-plane response of a rotating annular disk under concentrated edge loads with both the radial and tangential components. Lame's potentials are used to simplify the highly coupled equilibrium equations. It is demonstrated that the problem of fixed disk-rotating load differs from the problem of rotating disk-fixed load not only by the centrifugal effect, but also by additional terms arising from Coriolis effect. While the effect of these Coriolis terms may be negligible when the rotational speed is small or the concentrated edge load is in the radial direction, they are important in the high rotational speed range when the concentrated edge load is in the tangential direction. Numerical results of the natural frequencies and steady-state response are presented for a radius ratio of 0.3 with emphasis on the difference between the responses of fixed disk-rotating load and rotating disk-fixed load systems.