Based on the short service life and frequent replacement question of tubular structure, segmented damping treatment could be used for it. However, in order to achieve the ideal damping effect, it is necessary to improve the loss factor of the structure. The stiffness parameters will directly affect the loss factor of damping structure. The mathematical model of the stiffness parameters was established. Considering the material parameters and geometric dimensions of the structure cross-section, the calculation and analysis about the stiffness parameters are carried out by using Matlab software. The results show that when the other parameters keep the same, stiffness parameter Y increase with the increase of interval number N and the constrained layer and base layer elastic modulus ratio λ, as well as the thickness ratio of R. But Y may also decrease with the increase of R. The results of this paper can provide some reference for the study of damping treatment.