en Optimal design Optimal design پژوهشي Research <span style="font-size:11.5pt"><span style="text-justify:inter-ideograph"><span new="" roman="" style="font-family:" times="">The tuned mass damper inerter systems have recently received considerable attention in the field of structural control. The present work offers a practical configuration of such a device, called double tuned mass damper inerter (DTMDI) that connects the inerter into the damper masses rather than be attached to the main structure. Soil-structure interaction is also taken into account for the soft and dense soils as well as for the fixed based condition. The <m:omath><m:ssub><m:ssubpr><span cambria="" math="" style="font-family:"><span style="font-style:italic"><m:ctrlpr></m:ctrlpr></span></span></m:ssubpr><m:e><i><span cambria="" lang="IT" math="" style="font-family:"><m:r>H</m:r></span></i></m:e><m:sub><i><span cambria="" math="" style="font-family:"><m:r>&infin;</m:r></span></i></m:sub></m:ssub></m:omath><span lang="IT" style="font-size:11.5pt"><span new="" roman="" style="font-family:" times=""><span style="position:relative"><span style="top:2.5pt"><span style="layout-grid-mode:line"> </span></span></span></span></span>&nbsp;norm of the transfer functions for the roof response is minimized as the objective function. The parameters of DTMDI are optimized using opposition-switching search as an efficient parameter-less algorithm in comparison with lightning attachment procedure optimization, sine cosine algorithm and particle swarm optimization. The system performance is evaluated in the frequency domain, as well as in the time domain under various earthquakes including far-field records, near-field records with forward directivity and with fling-step. The results show superiority of opposition-switching search for optimal design of the proposed DTMDI so that it can significantly reduce both the roof displacement and acceleration response for all the SSI conditions.</span></span></span> Double tuned mass damper inerter, Soil-structure interaction, Opposition-switching- search, Meta-heuristic algorithms, Robust seismic control 203 219 http://ijoce.iust.ac.ir/browse.php?a_code=A-10-6463-24&slc_lang=en&sid=1 M. Shahrouzi shahruzi@khu.ac.ir 180031947532846002830 180031947532846002830 Yes Civil Engineering Department, Faculty of Engineering, Kharazmi University, Tehran, Iran M. Fahimi Farzam 180031947532846002831 180031947532846002831 No Civil Engineering Department, Faculty of Engineering, University of Maragheh, Maragheh, Iran J. Gholizadeh 180031947532846002832 180031947532846002832 No Civil Engineering Department, Faculty of Engineering, Kharazmi University, Tehran, Iran