Vibration of a Mistuned Bladed-Disk Assembly Using Structurally Damped Beams
A model of a mistuned bladed disk is created and then analyzed for both free and forced vibrations. The model consists of structurally damped, Euler ‐Bernoulli beams connected at one end using springs. The model is useful in the prediction of the response of a turbine engine bladed disk in which only some of the blades have added damping. (This situation arises in the experimental analysis of damping treatments. ) The natural frequencies and eigenfunction sets are obtained by assuming harmonic motion and imposing the boundary conditions. The eigensolution was verie ed using a small NASTRAN model. The forced response due to phased, harmonic tip loads is obtained by modalizing the equations using a technique recently developed by Turcotte (Turcotte, J. S., “ An Analytical Model for the Forced Response of Cyclic Structures,” Journal of Sound and Vibration , Vol. 209, No. 3, 1998, pp. 531 ‐536). The physical response is obtained as a function of forcing frequency by truncation and summation of the modal responses. The results are in general agreement with those of existing discrete models but have much greater detail.