Matrix perturbation method for the vibration problem of structures with interval parameters

When the parameters of the structures are uncertain, the structural natural frequencies become uncertain. In this paper, we deal with the vibration problem of the structure with interval parameters, the eigenvalue problem of the structures with interval parameters is transferrd into two different eigenvalue problems to be solved. The perturbation method is applied to the vibration problem of the structures with interval parameters, the numerical results show that the proposed method is sufficiently accurate and needs little computational efforts.