Inserting (5.25) into (5.30), a second-order differential equation for the determination of τr(r) results. The solution depends on materials properties through ρ, Y, and μ and on the state of rotation through ω. Once the radial stress is determined, the tangential one can be evaluated from (5.25).
As an example, consider a plane disc of radius rmax, with a center hole of radius rmin. In this case, the derivatives of b(r) vanish, and the solution to (5.30) and (5.25) is
The radial stress rises from zero at the inner ...
Get Renewable Energy, 5th Edition now with O’Reilly online learning.
O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.