Perepelkin N. Nonlinear normal modes of forced oscillations and their application in dynamics of single-disk rotors.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U003801

Thesis Registration Form

0413U003801.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

30-05-2013

Specialized Academic Board

Д 11.193.01

Essay

The method of the forced resonance vibrations construction has been developed. The method combines the generalized theory of nonlinear normal vibration modes by Shaw and Pierre and the modified Rauscher method and can be applied to mechanical systems with internal resonance. Corresponding iterative computational procedure has been proposed. This new approach was used in analysis of the single-disk rotor systems with nonlinearly elastic supports. Resonance regimes of the rotor movement were obtained, bifurcations of resonance regimes were discovered. The simplified mathematical model of the rotor has been proposed.

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Files

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dis.doc

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