Abstract
The natural frequency and responses for the nonlinear free vibration ofheated rotating disks are presented analytically when nonuniformtemperature distributions pertaining to the laminar and turbulentairflow induced by disk rotation are considered. The nonuniformtemperature distributions on the disk are highly dependent on itsrotation speed. The natural frequencies for symmetric and asymmetricresponses of a 3.5 inch diameter computer memory disk are calculated.When the disk is heated, its stiffness becomes larger for the two lowestnodal diameter numbers and smaller for the other nodal diameter numbers.It implies that the vibration of heated, rotating disks for the highernodal diameter numbers may be induced more easily than the cooled one.The results for the nonlinear vibration can reduce to those for thelinear vibration when the nonlinear effects vanish. To furtherinvestigate of the interaction of thermal and nonlinearity of rotatingdisks, the temperature distribution for such a rotating disk needs to bedeveloped.
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Saniei, N., Luo, A.C.J. Thermally Induced, Nonlinear Vibrations of Rotating Disks. Nonlinear Dynamics 26, 393–409 (2001). https://doi.org/10.1023/A:1013324609079
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DOI: https://doi.org/10.1023/A:1013324609079