Amirkabir University of Technology AUT Journal of Civil Engineering 2588-2899 1 2 2017 12 01 A Robust Optimization Model for Improving Reliability of Tuned Mass Damper 121 128 2727 10.22060/ceej.2017.12346.5180 EN Mohsen Balanian Department of Civil Engineering, University of Isfahan, Isfahan, Iran Maryam Daei Department of Civil Engineering, University of Isfahan, Isfahan, Iran Hossein Tajmir Riahi Department of Civil Engineering, University of Isfahan, Isfahan, Iran Journal Article 2017 01 04 ABSTRACT: One of the most promising and effective passive vibration control dampers is the Tuned<br />Mass Damper (TMD). Many conventional optimization criteria are based on the implicit assumption that all<br />parameters involved are deterministically known. Removing this assumption means to convert a conventional<br />optimization into a robust one. In this paper, a model for the robust optimum design of TMD is provided so<br />that the optimal design of damper by considering the uncertainties possible in the earthquake load and also<br />the structure properties can be achieved. The structural vibration control of the main system with a single<br />linear TMD under a stochastic dynamic load is investigated. The dynamic input is represented by a random<br />base acceleration, modeled by a stationary filtered white noise process. It is assumed that not only mechanical<br />parameters of the main structure but also the input spectral contents are affected by uncertainty. The standard<br />deviation of displacement of the protected main structure (dimensionless by dividing to the unprotected one) is<br />calculated as the deterministic objective function (OF), and to achieve a robust design the mean and standard<br />deviation of OF are considered as a multi-objective function which shall be minimum. The damping ratio and<br />the frequency of TMD have been selected as design parameters. The results provide the different choices for<br />designers to select an optimal TMD based on the priority of minimum mean of the maximum displacement of<br />the structure or the minimum dispersion in a random space. https://ajce.aut.ac.ir/article_2727_23fc4cba066f390a8cc729c7592b6ee8.pdf