A Linearization Model for the Displacement Dependent Semi-active Hydraulic Damper

In earthquake engineering, a hydraulic damper is a kind of energy-dissipating device to reduce the structural response. Newly developed Displacement Dependent Semi-Active Hydraulic Damper (DSHD) is one of the hydraulic dampers. For this damper, the hydraulic cylinder is acting as a damper connector. This damper connector is like a flexible switch with tight-loose and close-open functions and is used to connect a structure and a resistance component. For a DSHD-added structure, to linearize the nonlinear behavior of DSHD is required for preliminary design. Using the damping ratio as a parameter, the DSHD is modeled as a fixture of a linear spring and linear viscous damper. This approach is valid for application in the engineering practice.