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Typical base isolated buildings are designed so that the superstructure remains elastic in design-levelearthquakes, though the isolation layer is often quite nonlinear using, e.g., hysteretic elements such as lead-rubberbearings and friction pendulum bearings. Similarly, other well-performing structural control systems keep thestructure within the linear range except during the most extreme of excitations. Design optimization of these isolatorsor other structural control systems requires computationally-expensive response simulations of the (mostly or fully)linear structural system with the nonlinear structural control devices. Standard nonlinear structural analysis algorithmsignore the localized nature of these nonlinearities when computing responses. This paper proposes an approach forthe computationally-efficient optimal design of passive isolators by extending a methodology previously developedby the authors for accelerating the response calculation of mostly linear systems with local features (linear ornonlinear, deterministic or random). The methodology is explained and applied to a numerical example of a baseisolated building with a hysteretic isolation layer. The computational efficiency of the proposed approach is shown tobe significant for this simple problem, and is expected to be even more dramatic for more complex systems.

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