Abstract
This brief note presents a novel approach to the optimization of fluid viscous dampers for seismic retrofitting applications. The size and placement of fluid viscous dampers is defined using a simultaneous analysis and design (SAND) optimization approach. The optimization variables are the damping coefficients of the dampers, and the structural response in time. In this way, the equations of motion become equality constraints of the optimization problem and are not solved directly with time-history analyses. A major advantage of SAND formulations is that special design sensitivity analysis methods are no longer needed to calculate the gradients of the objective and constraint functions. The possibility of selecting the damping coefficients of the dampers from a limited set of available sizes is also discussed.
Notes
For inter-story drift we mean the relative displacement between the column ends.
Using the same computer.
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Acknowledgements
I thank my former colleague Mathias Stolpe for many fruitful discussions, and the generous Horev Fellowship. I also thank three anonymous reviewers for their valuable comments that helped improve the quality of the manuscript. This research did not receive any specific grant from funding agencies in the public, commercial, or non-profit sectors.
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The numerical and modeling details are provided in sufficient detail in the text to be implemented. All the specific settings and tolerances adopted with Gurobi are reported in the article. Moreover, the code for reproducing the results of the first example is available at: https://github.com/pollinico/SAND_opt_FVDs.
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Pollini, N. On simultaneous analysis and design optimization for seismic retrofitting with fluid viscous dampers. Struct Multidisc Optim 66, 181 (2023). https://doi.org/10.1007/s00158-023-03637-2
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DOI: https://doi.org/10.1007/s00158-023-03637-2