Abstract
In the present paper, vibrations in a rotating clampedfree disc under a static in-plane load and with constraint on the outer periphery are analyzed. A solution for the equation of motion is described by the series of orthogonal eigenfunctions of a nonrotating disc with the same boundary conditions. By the use of the orthogonality of the eigenfunctions a characteristic equation is obtained. The relations between the natural frequencies and an angular velocity are shown. Also, these between regions of instability of the free vibrations and the magnitude of the static load are shown.
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