Analysis of periodic regimes of forced, essentially nonlinear vibrations of systems of turbine blades

Computational models and methods are developed for analysis of periodic regimes of nonlinear forced vibration of systems of shrouded blades taking into account unilateral character of interaction forces at contact surfaces, dry friction forces, unpact damping forces, variation of contact conditions during period of vibration. The proposed methods do not use any assumption for in-time process of vibrations, allows to obtain any possible periodic complex regimes of vibrations, to analyse their stability and to search effectively periodic regimes upon parameter variation and solution branching