Damping coefficient identification of a non-viscous damping model in Laplace domain

Analytical result of structural dynamic response is restricted by selection of damping model. Therefore, the mechanism of damping force and damping parameter identification in a vibrating structure are always an active area of research. Because of the complexity of damping mechanism in structures, the applicability of available damping models is limited. Here, a more general non-viscous damping model, in which the damping force was related to the velocity history, was introduced. By means of a complex modal analysis of the dynamic system with this type of non-viscous damping in Laplace domain, a method for damping coefficient identification was derived. Numerical example showed that the proposed method can effectively identify the damping coefficient in a system with this non-viscous damping model; and the results are consistent with those of the viscous damping model when the non-viscous effect of the structural damping behavior is not significant.