Damage-based design earthquake loads for sdof inelastic structures

Abstract eng:
This paper develops a new framework for modeling design earthquake loads for inelastic structures. The design ground acceleration is expressed as a Fourier series, with unknown amplitude and phase angle, modulated by an envelope function. The design earthquake is estimated by solving an inverse dynamic problem, using nonlinear programming techniques, such that the structural damage is maximized. At the same time, the ground motion is constrained to the available information on past recorded ground motions. The structural damage is quantified in terms of Park and Ang’s damage indices. The damage indices imply that the structure is damaged by a combination of repeated stress reversals and high stress excursions. Additionally, the damage indices provide a measure of the structural damage level and thus a decision on necessary repair is possible. The material stress-strain relationship is modeled using a bilinear law. The formulation is demonstrated by deriving the optimal earthquake loads for inelastic framed structures at a firm soil site.

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