Abstract：In engineering practice, some rotationally symmetric design structures often show eccentric rotation due to manufacturing and installation errors, which affect the stability of the structures. Considering the eccentric motion of this kind of ring-shaped periodic structures, the effects of periodic distribution parameters of added particles and eccentricity on the natural frequency and dynamic stability of the system are studied. Firstly, the following coordinate system is established on the ring structure, and the dynamic model is established with using Hamilton principle. Then the eigenvalues are calculated with classical vibration theory, and the modal characteristic and instability are studied through various parameters combinations. Finally, the dynamic responses are obtained with numerical method, which verify the main results. The results show that natural frequency splitting can occur due to the certain relation between the number of added particles and wavenumbers. For different eccentricities and periodic distribution characteristics, the dynamic performance of the system varies greatly at different speeds. Properly increasing the eccentricity and selecting the appropriate number and size of added particles can effectively suppress the instability. The research contributes to the optimization of dynamic stability analysis for similar structures, which can guide the vibration control in engineering practice.
2023, Vol. 44 
