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Thermal Stresses of Rotating Hyperbolic Disks as Particular Case of Non-Linearly Variable Thickness Disks

A theoretical thermoelastic analysis of the Stodola's hyperbolic disk, axisymmetric and symmetric with respect to the mid-plane, and subjected to thermal load is carried out. A general temperature distribution along the radius expressed by a polynomial relation is introduced. The disk is analyzed as a particular case of the more general disk profile having non-linearly variable thickness given by the power of a linear function of the radius. The differential equation governing the radial displacement field of the Stodola's disk subjected to thermal load is deduced from the equivalent more general equation of this non-linearly variable thickness disk. The governing equation so obtained is analytically integrated and a closed-form solution is presented. Theoretical results are validated by comparing them with those obtained by means of FEA, after performing some significant calculation examples.