Analysis of subharmonic and quasi-periodic vibrations of a Jeffcott rotor supported on a squeeze-film damper by the IHB method

In rotors supported on a squeeze-film damper (SFD) with static eccentricity, subharmonic and quasi-periodic vibrations are generated by rotor unbalance. this paper, in Jeffcott an SFD analyzed using the modified incremental harmonic balance (IHB) method. Oil film forces calculated π theory short bearing approximation. These first time domain then transformed into frequency Fourier transformation. The oil multiplied transformation matrix to match matrices used classical IHB To apply continuation technique, Jacobian of residuals is analytically. stability analysis solutions Floquet theory. Using theory, saddle-node, symmetry breaking, period-doubling, secondary Hopf bifurcations detected. phase plane, Poincaré sections, history at these bifurcation points Runge–Kutta