Abstract
Dynamic radial and circumferential stresses are analyzed for hollow rotating discs which rotate at arbitrarily varying speeds, and the inner boundary of which is fixed on a rigid shaft. The problem is solved by using the Laplace transform, the convolution and Cauchy's integral theorems. The numerical computations are carried out for the discs which rotate with a constant angular acceleration up to N=10, 000 rpm during the time Tc s, and keep their rotation thereafter. The dynamic stresses give rise to the cyclic variations with respect to time in a constant rotating process. Their amplitude is proportional to Tc for (1/Tc) < 3.4x 104 s-1 and it reaches asymptotically twice the quasistatic stress as Tc approaches zero. Finally, the obtained results are compared with the quasi-static stresses.
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