To mitigate the dynamic effects of earthquakes in structures, several response modification strategies have been developed, including implementation of passive,
active, and semiactive devices. Structures with mitigation devices have shown to reduce the responses during large earthquake events. Although recent studies on controlled structures have mainly focused on modeling, performance and control strategies, a systematic study on the vulnerability of controlled structures has not been conducted. Since earthquakes can be catastrophic events, seismic risk assessments are becoming more valuable to mitigate future loss. A fragility analysis is the conditional probability of a system meeting or exceeding a specified performance limit state given the occurrence of a particular demand and is decoupled from the probability of the occurrence of the demand. A fragility relationship helps determine the risk of structures and to compare possible strategies to reduce the likelihood of structural damage. Performance limits can range from immediate occupancy to collapse prevention while using a range of earthquake demands. This thesis will focus on formulating a methodology for generating fragility functions for controlled structures to more easily depict the reduction of probability of failure compared to a structure without devices.
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