An approximate method for obtaining self-excited vibration of the rotor. (English) Zbl 0873.70015
Complex form of nonlinear differential equations describing vibrations of an elastic rotor is given. A version of Krylov-Bogolubov method is used to obtian an approximate solution based on the exact solution of Duffing type equation. The approximate solution is compared with solutions obtained by numerical methods.
Reviewer: T.Atanackovic (Novi Sad)
MSC:
70K40 | Forced motions for nonlinear problems in mechanics |
74H45 | Vibrations in dynamical problems in solid mechanics |