تخصیص بهینه غیر خطی ویسکوزیته دامپر برای سازه های بنایی سه بعدی

A new approach has been proposed by the authors and applied to allocate linear viscous dampers optimally for twoand three-dimensional building structures recently. This approach is extended to search for the optimal allocation of non-linear viscous dampers in this paper. The same initial damper placement is used for conducting the analysis. However, instead of carrying out the linear time-history seismic analysis, the non-linear time-history seismic analysis is performed first to obtain the inter-story drift ratio. Then, check the inter-story drift ratio for the locations where dampers were added and move the damper in the location with the minimal inter-story drift ratio to the location with the maximal inter-story drift ratio. Finally, repeat this process until the prescribed stop criterion is met. The nonlinear viscous dampers with two exponents, including 0.3 and 0.5, and two seismic records, including the El Centro earthquake and Chi-Chi earthquake, are used in this paper. Three examples, including two 10-story and one 20-story three-dimensional unsymmetrical building structures, are used to demonstrate the efficiency and accuracy of the proposed approach. The results are compared with those obtained using the simplified sequential search algorithm (SSSA) and are also compared with the optimal placement of linear viscous dampers obtained using the proposed approach. It is found that the proposed approach requires much fewer analyses than the SSSA while their accuracy is comparable. The efficiency of the proposed approach for allocating non-linear viscous dampers is also comparable to or better than for allocating linear viscous dampers.