To investigate the problem of vibration jumping in the aero-engine with squeeze film damper
the aero-engine rotor was simplified as a rigid-rotor with elastic-support.Dynamic equations of the system were established according to the oil-film force model
which were obtained by short bearing approximation and π-film assumption.The transition set of system was obtained by averaging method and Chen-Langford (C-L) method.The parametric plane of bearing coefficient and eccentricity coefficient was divided into three different regions by the transition set.Given different characteristics of bifurcation in each region
the region Ⅰ is an ideal region without jumping phenomenon.Then
an additional structure with "soft characteristic" of nonlinearity could expand the ideal region Ⅰ
decrease the jumping interval and broaden the range of optimization parameter selection.