For the rotating disk problem given previously in Example 8.11, the governing equilibrium equation was given by (8.4.74). Since this equation is also valid for anisotropic materials, consider the polar-orthotropic case and use equations (11.7.3) to express the equilibrium equation in terms of the displacement as:

Data from example 8.11

Equation 8.4.74

Equation 11.7.3

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du Ee +r+ dr Er dr Next show that the general solution to this equation is given by (1 - Vrever) E9 - (Eg/Er)] pwr, where C and C are arbitrary constants and n#3. Note for the case of a solid disk, C u=Cr + Cr=" (1-vrover) pwr Er -U= n = Eg/Er : 0. =