Improvement of tuned mass damper by using rotational inertia through tuned viscous mass damper

Garrido, Hernán; Curadelli, Oscar; Ambrosini, Daniel

doi:10.1016/j.engstruct.2013.08.044

Cited by 156 publications

(65 citation statements)

References 14 publications

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“…Among these 4 parameters, the approach pursued in this paper is to find the best frequency ratio ν t = ω t / ω b and the best TMDI damping ratio ζ t for fixed effective mass ratio μ et = μ t + β t , which is similar to other research contributions dealing with inerter‐based devices in broad terms. () Once a proper effective mass ratio μ et is selected, ie, physical mass μ t and apparent, inertance‐related mass β t , the optimal couple ( ν t , ζ t ) is sought such that it minimizes a specific quantity representative of the dynamic response of the structural system. In mathematical terms, the above problem is basically a nonlinear constrained single‐objective multivariable optimization problem expressed in the form

\min_{x} f false(boldx false) such that x_{lb} \leq boldx \leq x_{ub},

where x =[ ν t , ζ t ] is the vector collecting the 2 tuning variables, f ( x ) is the chosen OF, that is, a scalar measure representative of the structural response, and x lb , x ub are the lower bound and upper bound vectors of the tuning variables, respectively.…”

Section: Statement Of Optimization Problem For the Tmdi Tuningmentioning

confidence: 99%

“…In the last few years, inerter-based devices have attracted the attention of researchers focused on vibration suppression of mechanical elements and structural systems, see, eg, literature [17][18][19][20][21][22][23][24][25][26] just to quote only a few. Most of these studies focused on the determination of the optimal tuning parameters of the inerter-based device to reduce some primary response indicator, either by means of closed-form expressions based on a simplified model idealization, or by solving the optimization problem via a numerical search method, or by analyzing and studying the frequency-response functions.…”

Section: Goal and Outline Of The Papermentioning

confidence: 99%

“…Among these 4 parameters, the approach pursued in this paper is to find the best frequency ratio t = t ∕ b and the best TMDI damping ratio t for fixed effective mass ratio et = t + t , which is similar to other research contributions dealing with inerter-based devices in broad terms. 18,19,21,22,24 Once a proper effective mass ratio et is selected, ie, physical mass t and apparent, inertance-related mass t , the optimal couple ( t , t ) is sought such that it minimizes a specific quantity representative of the dynamic response of the structural system. In mathematical terms, the above problem is basically a nonlinear constrained single-objective multivariable optimization problem expressed in the form…”

Section: Statement Of Optimization Problem For the Tmdi Tuningmentioning

confidence: 99%

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An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI)

Domenico

Ricciardi

2017

Earthq Engng Struct Dyn

328

178

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Summary In seismic base isolation, most of the earthquake‐induced displacement demand is concentrated at the isolation level, thereby the base‐isolation system undergoes large displacements. In an attempt to reduce such displacement demand, this paper proposes an enhanced base‐isolation system incorporating the inerter, a 2‐terminal flywheel device whose generated force is proportional to the relative acceleration between its terminals. The inerter acts as an additional, apparent mass that can be even 200 times higher than its physical mass. When the inerter is installed in series with spring and damper elements, a lower‐mass and more effective alternative to the traditional tuned mass damper (TMD) is obtained, ie, the TMD inerter (TMDI), wherein the device inertance plays the role of the TMD mass. By attaching a TMDI to the isolation floor, it is demonstrated that the displacement demand of base‐isolated structures can be significantly reduced. Due to the stochastic nature of earthquake ground motions, optimal parameters of the TMDI are found based on a probabilistic framework. Different optimization procedures are scrutinized. The effectiveness of the optimal TMDI parameters is assessed via time history analyses of base‐isolated multistory buildings under several earthquake excitations; a sensitivity analysis is also performed. The enhanced base‐isolation system equipped with optimal TMDI attains an excellent level of vibration reduction as compared to the conventional base‐isolation scheme, in terms not only of displacement demand of the base‐isolation system but also of response of the isolated superstructure (eg, base shear and interstory drifts); moreover, the proposed vibration control strategy does not imply excessive stroke of the TMDI.

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\min_{x} f false(boldx false) such that x_{lb} \leq boldx \leq x_{ub},

Section: Statement Of Optimization Problem For the Tmdi Tuningmentioning

confidence: 99%

Section: Goal and Outline Of The Papermentioning

confidence: 99%

Section: Statement Of Optimization Problem For the Tmdi Tuningmentioning

confidence: 99%

See 1 more Smart Citation

An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI)

Domenico

Ricciardi

2017

Earthq Engng Struct Dyn

328

178

View full text Add to dashboard Cite

show abstract

“…Meanwhile, the suppression bandwidth (SB) of the TTMDI is benchmarked through a comparison with TTMD and TMDI to better quantify the frequency response control characteristics. The SB, as annotated in the enlarged window of Figure , is defined as the frequency range in which the structure controlled by the device outperforms an uncontrolled structure . According to this definition, Table presents the SB values of the TTMDI, TMDI, and TTMD with different total mass ratios under the circumstances of the same total inerter mass ratio and mass ratio between two blocks.…”

Section: Estimating the Performance Of The Ttmdimentioning

confidence: 99%

Tuned tandem mass dampers-inerters with broadband high effectiveness for structures under white noise base excitations

Cao

2019

Struct Control Health Monit

113

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Summary By integrating the tuned tandem mass dampers (TTMD) with two inerters, the tuned tandem mass dampers‐inerters (TTMDI) with high effectiveness and wide frequency spacing (i.e., high robustness) have been proposed in this paper. It is expected that the frequency spacing of the TTMDI will be comparable with that of the multiple tuned mass dampers. In order to reveal the fundamental performance of the TTMDI, it is attached to a single degree of freedom (SDOF) structure under random Gaussian white noise base excitations. Closed‐form expressions for calculating the dimensionless displacement variances are thereupon derived for the SDOF structure–TTMDI system. The optimization criterion is determined as the minimization of the dimensionless displacement variances. Employing the gradient‐based optimization technique, the effects of varying the key parameters on the performance of the TTMDI are scrutinized in order to probe into its superiority. Evaluation of the performance of the TTMDI includes that of its effectiveness, strokes, stiffness, damping coefficient, distributions of the inertance coefficients, frequency spacing, and frequency response of the controlled structure. For purposes of further comparison, the optimum results of the TTMD and tuned mass damper‐inerter (TMDI) are also included into consideration. Results clearly demonstrate that the TTMDI outperforms both the TTMD and TMDI because of several advantages, particularly high effectiveness and broadband characteristics. Therefore, the TTMDI is deemed to be a broadband high effectiveness control device. Furthermore, the TTMDI only needs a linking dashpot and is capable of decentralizing a large inertance coefficient, thus showing its simplicity and easier implementation.

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“…Setareh proposed a new class of semi‐active TMDs for reducing floor vibrations due to human movements. Garrido et al proposed a rotational inertia double‐tuned mass damper, which is more effective than a TMD at the same mass ratio. Nagarajaiah et al analytically and experimentally validated the adaptive length pendulum smart TMD on a primary structure whose frequencies were time invariant and studied its effectiveness on a primary structure with time‐varying frequencies.…”

Section: Introductionmentioning

confidence: 99%

Control performance of suspended mass pendulum with the consideration of out-of-plane vibrations

Huang

Huo

et al. 2018

Struct Control Health Monit

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Summary The analysis model of a suspended mass pendulum (SMP) control system is usually simplified as a planar model, which only considers the swing angle in‐plane. However, out‐of‐plane vibrations of a pendulum are inevitable and are significantly more complex than that assumed in the planar model. To overcome the limitations of the current planar model, this study proposes a spatial model of the pendulum. The kinetic equations of the spatial SMP model coupled with a single degree of freedom structure are established considering the swing angle of the SMP in‐plane and out‐of‐plane. The vibration characteristics of the pendulum and their influence on the dynamic response of the structure are numerically analyzed. Compared with the numerical results of the planar model, the vibrations of a pendulum are more accurately simulated by the spatial model, even when the rotation angle of pendulum out‐of‐plane is greater than 20°. A parameter study is performed considering the influencing parameters of the control system, including the excitation periods, pendulum length, mass ratio, and amplitudes of the horizontal rotation angle at the maximum displacement of the structure. The results show that the horizontal rotation angle of the pendulum negatively affects the vibration suppression of the structure. Furthermore, to verify the vibration control effectiveness of the spatial SMP model, a transmission tower was controlled under eight types of seismic excitations. The results reveal that the SMP has a clear mitigation effect on the seismic response of the tower.

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Improvement of tuned mass damper by using rotational inertia through tuned viscous mass damper

Cited by 156 publications

References 14 publications

An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI)

An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI)

Tuned tandem mass dampers-inerters with broadband high effectiveness for structures under white noise base excitations

Control performance of suspended mass pendulum with the consideration of out-of-plane vibrations

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