Tangent-stiffness-proportional viscous damping independent of the geometric stiffness matrix

Baena Urrea, Jose [UCL] Saraiva Esteves Pacheco De Almeida, João [UCL]

This paper presents a tangent-stiffness-proportional viscous damping model independent of the geometric stiffness for time-history response simulation of frame structures. The nonlinear geometric effects are considered using a corotational formulation that allows to isolate the nonlinear effects of material and geometric sources, as well as the corresponding tangent stiffness contributions. Therefore, non-directly modelled sources of energy dissipation can be made proportional just to the material stiffness matrix term. After presenting the formulation and discussing the physical significance of the proposed model, an illustrative example of a slender reinforced concrete column is presented. Comparisons with the widely used total-tangent-stiffness-proportional approach show the advantages of the current proposal.