Optimization criteria for tuned mass dampers for structural vibration control under stochastic excitation

Abstract

In this work a comparative analysis between different optimization criteria is performed for a linear Tuned Mass Damper (TMD) devices problem. Optimal TMD mechanical parameters are evaluated considering a simple one degree-of-freedom system subject to a base acceleration modeled as a stationary filtered stochastic process. Whereas common TMD optimization methods consider only TMD frequency and damping ratio as design variables, in this study a complete approach will be proposed, which takes into account also the TMD mass as design variable. The effectiveness of the vibration control strategy is evaluated expressing the objective function in terms of two different reduction factors of the system response: the displacement and the inertial acceleration, respectively. The mechanical characteristics of the TMD, frequency ratio, damping ration and mass ratio, represent the design variables of the optimization problem. This is carried out numerically and then various analyses of sensitivity are developed by varying the input and structural parameters in order to assess the efficiency of the TMD strategy under different input and mechanical configurations. Variations between different criteria are also evaluated.

Optimization criteria of TMD to reduce vibrations generated by the wind in a slender structure

“…The comparison with the results presented in Marano and Greco (2010) shows that the kind of excitation applied to the structure is very important. In that publication the model used is very similar, but the excitation was an acceleration modeled as a colored noise and applied at the base of the structure.…”

Optimal Design of Tuned Mass Dampers by Performance–cost Analysis

“…In civil engineering, it is being progressively adopted both for buildings and for bridges [21][22][32][33][34].…”

“…After the work of Ormondroyd and Den Hartog [17], several optimum design methods have been introduced in literature, aimed at minimizing the vibrations induced in mechanical and structural systems by various types of excitation sources [18][19][20][21][22][23]. In most of the above studies, the main structure is generally represented by an equivalent single degree of freedom system.…”

Optimum design of viscous dissipative links in wall-frame systems

“…Various authors (Marano et al , ; Chakraborty et al , ; Ribakov and Agranovich, ; Mohtasham and Abdolreza, ; Özsar ı y ı ld ı z and Bozer, ) have developed the optimum design of passive energy dissipation systems. Minimizing the relative displacement or the absolute acceleration has been frequently adopted as objective of the seismic control strategy (Marano et al , ; Marano and Greco, ; Greco and Marano, ). For flexible structures, generally, the displacements are the predominant quantities that need to be controlled.…”