In order to study the dynamics similarily of actual rotor system with gyroscopic effect similar to the corresponding scaled model

the dynamic similarity criteria for rotor-support system considering gyroscopic moment were derived by using dimensional analysis method

and the similarity ratios of physical variables of actual rotor system and model were obtained. And the correctness of dynamics similarity criteria of rotor system with gyroscopic effect was verified by solving the analytical solution of critical speed for a Jeffcott rotor system at different similarity ratios

and by studying the similarity of critical speeds and modes for an actual rotor system based on the finite element simulation software ANSYS. It shows that the natural frequency of actual rotor system is similar to its scaled model in similarity speed

and the critical speed is similar for rotor system considering gyroscopic moment

simple support and Rayleigh proportional damping.