… Free vibrations analysis is one of the important steps in rotor-… frequency to study the nonlinear
free vibrations of a rotating … (21) be orthogonal to every solution of the adjoint problem. It …

… properties of the shaft on the rotor vibrations. Therefore, … the rotor with a non-linear elastic
shaft, vibration frequency … of the separating mass is the same as the mass of the rotor, the …

… -frequency free vibrations behavior of the spinning beam especially for higher slenderness
ratio and rotating speeds of the rotor. … concepts in the modeling of the problem are discussed. …

… Free vibration analysis is one of the important steps in rotor-… The shaft was made of a material
with elastic and viscous … the nonlinear natural frequency of a rotating shaft with stretching …

… to calculate natural frequencies for nonlinear rotor bearing system … Separating the variables
and noting that b 7 = b 9 = 0 , Eqs. ( … the free nonlinear oscillations of this system for different …

… One of the means to control and reduce vibrations in rotating … the rotor unbalance response
over a wide frequency range … u x and u y can be found by separating the real and imaginary …

… bending coupled vibrations of a flexible shaft±flexible disk system … that every natural frequency
splits into two branches when … modal frequencies of the rotor system in view of the shaft …

… vibrations of the rotor. Those of most importance here are forced vibrations and they have
frequencies … has been adapted to the problem of separating the forced vibration into modal …

… vibrations of a rotor assembly that consists of two shafts coupled … and backward nonlinear
natural frequencies are being excited. … of a flexible shaft that carries a rigid disk, and the shaft is …

… the first natural transverse frequency of the shaft. (Eliminating … was at the natural frequency
of the rotor. Stability analyses of … an investigation into the free vibrations of the form eit always …