Dynamic frequencies and complex modal motion of mass-spring-damping rotating system

In order to provide a basis for researching the dynamic behavior of engineering structures in a centrifugal and vibration compound environment, dynamic equations for a mass-spring-damping rotating system with two degrees-of-freedom were set up, and the eigenfrequencies and complex modal vectors of the system were calculated. The complex decomposition of the complex modal vectors were carried out to obtain the expression of complex modal motion. The research result shows that the mass-spring-damping rotating system has dynamic frequencies and two complex modes. The eigenfrequencies of the system are related to its rotation speed and influenced by centrifugal softening and Coriolis damping. Coriolis damping makes the system eigenvectors be complex modal vectors and mass point motion be a polarized circle to show that Coriolis damping produces a motion coupling. Coriolis damping is not real physical damping, so it does not result in the attenuation of free vibration of the system.