This paper presents a design method for highly indeterminate seismically isolated structures utilizing generalized response spectrum analysis, which has been extended to simulate both of an elasto-plastic damper with isolator and a nonlinear oil damper. This enables a more efficient design process than trial-and-error approaches with non-linear response history analysis. The design example using the proposed method are demonstrated in a series of studies using a base isolation system with a tall building and mid-story isolation or roof isolation systems having substructures with dampers.

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