Abstract
Perforated steel plate shear walls (PSPSWs) are requested for passing the equipment and creating the accessing spaces. Also, the studies showed the PSPSWs enhance the ductility. In this paper, topology optimization (TO) is used to introduce a new form of the PSPSW in the moment frames based on the strain energy as the objective function. The TO is conducted using the sensitivity analysis, SIMP method and method of moving asymptotes. Four amounts of aspect ratio (0.67, 1.0, 1.5 and 2.0) and three plate thicknesses (2 mm, 4 mm and 8 mm) are defined in the TO and their effects are considered in the results. For a comprehensive study, the results of TO are compared with the three usual forms of PSPSW with circular holes and a previous optimized model. The material volume is equal for the plates with the identical aspect ratio and plate thickness. The cyclic behavior of all the models is investigated and compared in terms of strength, energy dissipation and fracture tendency. The analytic hierarchy process (AHP) is applied to score and determine the best model and form. The AHP method illustrated that the optimized models have a better performance. The results of the AHP method show that the optimized model in this study obtained 22.07% of the score from 100%, while the scores of the prior optimized model and three traditional models are 20.67%, 19.36%, 19.06% and 18.84%, respectively.
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Appendix
Appendix
Herein, the values of maximum reaction force during cyclic loading (Pn), maximum reaction force in the last cycle (P1) and the reaction force near the displacement zero in the last cycle (P2) are presented in Table 6. Also, the values of the total energy dissipation due to plastic deformations (ED) and fracture tendency or equivalent plastic strain (PEEQ) at the end of loading are indicated in Table 7.
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Bagherinejad, M.H., Haghollahi, A. Study on Topology Optimization of Perforated Steel Plate Shear Walls in Moment Frame Based on Strain Energy. Int J Steel Struct 20, 1420–1438 (2020). https://doi.org/10.1007/s13296-020-00373-x
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DOI: https://doi.org/10.1007/s13296-020-00373-x