Structures vibration control via Tuned Mass Dampers using a co-evolution Coral Reefs Optimization algorithm

Salcedo‐Sanz, Sancho; Camacho-Gómez, Carlos; Magdaleno, Álvaro; Pereira, Emiliano; Lorenzana, A.

doi:10.1016/j.jsv.2017.01.019

Cited by 42 publications

(24 citation statements)

References 40 publications

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“…The ” linear ” acceleration input of the j th TMD located at l th node (

ŷ_{a, l}

) is modelled as follows:

\begin{matrix} right ŷ_{a, l} = 0 i f |y_{a, l}| < y_{a, m i n} \\ right ŷ_{a, l} = y_{a, l} - y_{a, m i n} i f y_{a, l} \geq y_{a, m i n} & left \\ right ŷ_{a, l} = y_{a, l} + y_{a, m i n} i f y_{a, l} \leq - y_{a, m i n}, \end{matrix}

in which y a , min is the minimum structure acceleration in absolute value for the TMD to start working. If the TMD linear stiffness and damping coefficient of the j th TMD are defined as k t , j and c t , j , respectively, the transfer function (TF) between the force exerted by the j th TMD, and the linear acceleration of the l th structure node is as follows:

\frac{U_{a, j} false(s false)}{Ŷ_{a, l} false(s false)} = - \frac{m_{t, j} ((), c_{t, j} s + k_{t, j})}{m_{t, j} s^{2} + c_{t, j} s + k_{t, j}} = - m_{t, j} \frac{2 ξ_{t, j} ω_{t, j} s + ω_{t, j}^{2}}{s^{2} + 2 ξ_{t, j} ω_{t, j} s + ω_{t, j}^{2}} = H_{T, f_{j}} false(s false),<...>

…”

Section: Feedback‐based Control Frameworkmentioning

confidence: 99%

“…in which y a,min is the minimum structure acceleration in absolute value for the TMD to start working. If the TMD linear stiffness and damping coefficient of the j th TMD are defined as k t,j and c t,j , respectively, the transfer function (TF) between the force exerted by the j th TMD, and the linear acceleration of the l th structure node is as follows 16 :…”

Section: Tmd Systemmentioning

confidence: 99%

“…Before finding the value of z, which minimizes the PI defined by Equation 16, the number of actuators/sensors and the possible locations are defined. In addition, the selection of possible candidate nodes might be firstly selected in order to reduce the computational cost.…”

Section: Step 4: Define the Input Variables For The Pimentioning

confidence: 99%

“…The consideration of a TMD system as feedback controller simplifies the tuning of its parameters because active control design methodologies can then be applied. Examples of multi‐TMD designs can be found in the previous studies . However, these contributions are not orientated to human‐induced vibration, focusing on other vibration problems, like wind‐induced vibration or earthquakes.…”

Section: Introductionmentioning

confidence: 99%

“…Examples of multi-TMD designs can be found in the previous studies. [14][15][16][17] However, these contributions are not orientated to human-induced vibration, focusing on other vibration problems, like wind-induced vibration or earthquakes. Examples of designing single-TMD as a closed-loop system for human-induced vibration can also be found.…”

Section: Introductionmentioning

confidence: 99%

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A general vibration control methodology for human‐induced vibrations

Wang

Pereira

García‐Palacios

et al. 2019

Struct Control Health Monit

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Summary This paper proposes a general methodology for the design of vibration control of human‐induced vibrations. This uses a feedback loop for the design of control parameters and accounts for the nature of human excitation and how humans feel the vibration. The methodology developed considers not only single‐input single‐output control systems but also multi‐input multi‐output control systems, especially useful to cancel vibrations coming from modes with closely spaced natural frequencies. The strategy finds simultaneously the optimal placements of a set of inertial mass dampers and the design parameters (control gain matrix for active vibration control, damping ratios and tuning frequencies of tuned mass dampers for passive vibration control). To make this strategy implementable and suitable to human‐induced vibrations, elements such as input‐output frequency weighting, output time weighting, band‐pass filters, actuator dynamics, and nonlinearities are considered within the design. The proposed methodology is illustrated in an application example on a realistic open‐layout floor by designing single‐input single‐output and multi‐input multi‐output active and passive strategies with one and two dampers. Simulation tests are carried out to evaluate the performance of the controllers in terms of their vibration reduction capacity using a performance index indicator.

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“…The ” linear ” acceleration input of the j th TMD located at l th node (