Whole machine dynamic balance can greatly improve the efficiency of unbalanced vibration control for gas turbine engine. However, because of the particularity in structure, the unbalanced response of the rotor cannot be directly measured, making the whole machine balance difficult. Therefore, considering the structural vibration characteristics of the whole machine system overall the full speed range and the influence of distributed unbalance vector, the response coefficient matrix between vibration response of each measuring point and unbalance vector on each blisk is obtained through simulation or test, and the equivalent unbalance vector backstepping equations are established. According to the sensitivity relationship between the unbalance vector position, rotational speed, and the measuring point, the full speed range response coefficient matrix goes through dimension reduction and reconstruction. The equivalent unbalance vector of the rotor is obtained via choosing optimal balancing positions and measuring points and rotational speeds. The effectiveness of the proposed method is verified by numerical simulation analysis of a typical dual-rotor gas turbine engine. This method is valuable for gas turbine engine rotor balance.
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