Abstract
Vibrations of turbine blades in aircraft engines with taking into account the hysteresis friction were investigated. Nonlinear problem was solved by decomposition in a small parameter. To determine the natural frequencies and modes the variation-grid approach of constructing the Rayleigh type functional with following minimizing it by method of coordinate-wise descent was used. The equations of blades resonance curves were obtain. The problem of forced oscillations was solved by expanding their own forms.
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