Abstract

This paper investigated the transverse vibration natural frequency and stability of an annular spinning disk subjected to concentrated uniform in-plane edge follower forces and out-of-plane loads including mass, damper, and spring. Linear plate theory is used to derive the plate model used in this research, both symmetric in-plane stress fields, due to plate rotation, and asymmetric in-plane stress fields, due to uniform edge follower forces, are considered. The asymmetric stress, which is a function of the rotation of the plate, is obtained from the steady-state response of the coupled in-plane vibration equations. The concentrated in-plane follower edge forces are expanded as Fourier series and the produced stress fields are also achieved from the corresponding Fourier components. To explore the system stabilities, natural frequency variations, in-plane and out-of-plane loads coupling effects, and the instability types, the eigenvalues are plotted with respect to rotation speeds. Based on the eigenvalue analysis, the effects of concentrated edge uniform follower forces on a spinning disk system with out-of-plane loads were concluded.

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