The dynamic response of damped gyroscopic system was researched by the complex modal method
and the concept of gyroscopic damping ratio was also put forward in this paper.With the method proposed in this paper
it is possible to analyze the dynamic characteristics of rotating thin-walled structures such as the rotating thin-walled shaft and shell.The characteristics of traveling wave vibration of shell under different load condition(single-point harmonic load and the harmonic load with k circumferential waves) were also discussed.