A reduced order method was proposed to analyze the dynamics characteristic of mistuning bladed disks. Based on cyclic symmetry and harmonic balance method

a non-linear iteration equation was formed

of which the matrix scale was the same to the matrix size of a single sector and was solved without any truncate error

consequently its efficiency was higher than the component mode synthesis method without losing any accuracy. The mathematical deduction was given based on cyclic periodicity theory. Furthermore

the efficiency and accuracy of this method were investigated by performing a numerical study on a finite element model of mistuning bladed disk. The results show that

compared with component mode synthesis method

the matrix size of the method proposed is reduced by 59.5%

the computational complexity is lowered by 93.4%

the computational time is saved by 57.4%.