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Optimization‐based seismic design of steel moment‐resisting frames with nonlinear viscous dampers
An optimization approach for the seismic design of yielding moment‐resisting frames (MRFs) with nonlinear fluid viscous dampers (FVDs) is presented. As the optimal design of new buildings is addressed, no parameters are set a priori, and the properties of both the structural elements and the dampers are simultaneously optimized. The goal of the optimization is to minimize the cost of the system (structure + dampers), while code requirements and performance constraints are considered. The performance of the structure is evaluated using a nonlinear time history analysis (NTHA), accounting for the nonlinear behavior of both the MRF elements and the added FVDs. The optimization problem is first formulated as a mixed‐integer problem suitable for a solution by zero‐order optimization. Then, the problem is reformulated in a continuous differentiable form and solved using an efficient gradient‐based optimization approach. This is done by utilizing discrete material optimization (DMO) functions to achieve a good initial design for the cross‐sections and the FVDs. This initial design accounts for the important aspects of design, some directly and some indirectly. The responses of interest are computed using a probabilistic approach while considering ensembles of ground motions. Numerical examples show the robustness of the presented methodology and its efficiency demonstrated on a five‐story MRF and a real‐scale irregular nine‐story MRF.
Optimization‐based seismic design of steel moment‐resisting frames with nonlinear viscous dampers
An optimization approach for the seismic design of yielding moment‐resisting frames (MRFs) with nonlinear fluid viscous dampers (FVDs) is presented. As the optimal design of new buildings is addressed, no parameters are set a priori, and the properties of both the structural elements and the dampers are simultaneously optimized. The goal of the optimization is to minimize the cost of the system (structure + dampers), while code requirements and performance constraints are considered. The performance of the structure is evaluated using a nonlinear time history analysis (NTHA), accounting for the nonlinear behavior of both the MRF elements and the added FVDs. The optimization problem is first formulated as a mixed‐integer problem suitable for a solution by zero‐order optimization. Then, the problem is reformulated in a continuous differentiable form and solved using an efficient gradient‐based optimization approach. This is done by utilizing discrete material optimization (DMO) functions to achieve a good initial design for the cross‐sections and the FVDs. This initial design accounts for the important aspects of design, some directly and some indirectly. The responses of interest are computed using a probabilistic approach while considering ensembles of ground motions. Numerical examples show the robustness of the presented methodology and its efficiency demonstrated on a five‐story MRF and a real‐scale irregular nine‐story MRF.
Optimization‐based seismic design of steel moment‐resisting frames with nonlinear viscous dampers
Idels, Ohad (author) / Lavan, Oren (author)
2021-01-01
21 pages
Article (Journal)
Electronic Resource
English
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