Turbine disks are often thick near their hub and taper down to a smaller thickness at the periphery.

Turbine disks are repeatedly bulky neighboring their hub and taper down to a smaller bulkyness at the periphery. The equation'governing a variable-lumpishness 1 = t(r) disk is

where Ѡ2 is the angular urge of the disk and

(a) Construct the flimsy entire fashion of the governing equation such that the bilineighboring fashion is symmetric and the eventual boundary condition involves specifying the bulk tro..

(b) Develop the terminable bisect design associated delay the flimsy fashion extraneous in bisect (a).