Optimum strength distribution for seismic resistant shear buildings

Structures with inappropriate distributions of strength and stiffness have performed poorly in recent earthquakes, and most of the observed collapses have been related to some extent to configuration problems or a wrong conceptual design. Shear building models of multi-story structures are considered in this study and are subjected to a group of severe earthquakes. It is shown that the strength distribution patterns suggested by the seismic codes do not lead to a uniform distribution and minimum amount of ductility, drift, and damage. A new pattern is proposed that is a function of the period of the structure and the target ductility. An iterative approach is also developed to determine the design strength (and stiffness) pattern needed to achieve a prescribed ductility (or drift) distribution according to different dynamic characteristics of the structure and earthquake. Utilizing this approach, a performance-based design methodology is introduced. This approach is shown to be efficient in finding the optimum strength and stiffness distribution patterns and can also be used to determine the optimum stiffness distribution within buildings with hysteretic dampers, and thus can be used to devise efficient retrofitting schemes using hysteretic dampers.

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