M. H. Hirschberg, A. Mendelson
The differential equation governing the deflection of a disk of variable thickness subjected to gyroscopic loading is derived. For the case of a disk of constant thickness, solutions are obtained by a finite-difference method for a range of centrifugal loading parameter M from 0 to 50, and the ratio of shaft to disk radii varying from 0.1 to 0.3. Results are presented in dimensionless form suitable for design purposes. The method for solving the problem of a disk of variable thickness with a temperature gradient is also presented.
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