Numerical Analysis of the Transient Responses of Bladed Disks

A numerical model for the dynamic analysis of a rotationally periodic structure under rotation subjected to non-stationary excitation system of forces is presented on the basis of principles of finite elements and cyclic symmetry. Based on this model, the transient response characteristics of a representative practical bladed disk system during run-up subjected to nozzle-excitation are studied taking into account many important practical aspects of the problem. Some fundamental effects concerning the response maxima and resonance shift of these responses with respect to the cantilever blade response, angular acceleration and the order of excitation are discussed.