But the localization phenomenon is relatively weak in 1st and the 3d frequency band. The strong localization phenomenon of the modal shape’s the maximum displacement and the maximum stress is observed in the second frequency band and it is the most sensitive in the frequency veering. Meanwhile, the frequency and the modal shape are researched, considering the factors including rotational speed, gas temperature and geometry size. So the improved HISCMSM is better than the classical HISCMSM and the overall structure FEMM.

It is faster 4.46%–10.57% than the classical HISCMSM. Compared with the overall structure finite element model method(FEMM), the computational time is shortened by 23.86%–31.56% and the modal deviation is 0.002%–0.157% which meets the requirement of the computational accuracy.

The double coordinating conditions of the displacement and the force are introduced to ensure the computational accuracy. The parametric model of the mistuned blisk is built by the improved HISCMSM. An improved hybrid interface substructural component modal synthesis method(HISCMSM) is proposed. The classical component modal synthesis method (CMSM) are used extensively, but for many structures in the engineering of high-rise buildings, aerospace systemic engineerings, marine oil platforms etc, a large amount of calculation is still needed. The large and complex structures are divided into hundreds of thousands or millions degrees of freedom(DOF) when they are calculated which will spend a lot of time and the efficiency will be extremely low.

Blisk marina