Optimization of Earthquake Energy Partitioning in Base Isolated and Dynamically Damped Structures

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Earthquake input energy and its partitioning in structures have been studied to develop a new approach for earthquake damage assessment. Earthquake input energy, which includes both intensity and duration of ground motion is expected to represent earthquake damage more accurately than the conventional instantaneous maximum responses. In the first part of this study, the new earthquake energy spectra are proposed for practical design procedures. The spectra show integrated earthquake input energy of a unit mass with given natural period and damping ratio. Mathematical formulation is presented for evaluation of the total input energy and its partitioning in complex structures by applying the modal analysis and the proposed energy spectra. In the second part, numerical simulations are carried out for inelastic structures to show earthquake energy partitioning in time and in space. Effects of inelastic restoring forces of base isolators and of tuned mass dampers to earthquake response of structures are evaluated for practical design with structural controls.