6 Conclusions
This paper has demonstrated a method of optimizing seismic performance of buildings through the addition of viscous dampers, by minimizing the total cost of both structural and nonstructural damage.
It was found that the energy formula underestimated the damping achieved by uniformly distributed viscous dampers. The energy method formula was modified to improve the accuracy of the damping ratio calculations by incorporating the effective modal mass. The mean absolute relative error between the target and achieved damping ratios was improved in comparison to the original energy method. The modified energy formula can be used to rapidly select the linear damper coefficients for a desired level of total damping and should be considered in future studies.
The optimal damping to minimize earthquake repair costs was found to be between 25 and 45% (considering uniform damping and linear FVDs). This contrasts with a previously suggested optimal damping of 20–25% total damping based on EDPs (Occhiuzzi 2009). The damping-repair cost relationship can provide insight when selecting levels of damping for structural design and retrofit. While practical considerations may sometimes prevent implementation of the highest levels of damping considered here, this highlights that retrofit decisions may be improved by using repair costs, rather than structural parameters.