Pendulum tuned mass damper: optimization and performance assessment in structures with elastoplastic behavior

García, Vega; Duque, Edwin; Inaudi, José A.; Márquez, Carmen O.; Mera, Josselyn D.; Ríos, Anita Cecilia

doi:10.1016/j.heliyon.2021.e07221

Cited by 9 publications

(2 citation statements)

References 30 publications

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“…where f denotes the pre-stress value of the cable. Assuming θ 1 , θ 2 , and θ 3 are all very small, the trigonometric function relationship can be obtained approximately as follows [19][20][21] :…”

Section: Kinetics Model Of a Wind Turbine With Ps-tmdmentioning

confidence: 99%

“…According to Dalembert's principle, the horizontal balance equation for the WTT and the PS‐TMD device can be established as

({, \begin{array}{l} m_{s} {\ddot{x}}_{s} goodbreak+ c_{s} {\dot{x}}_{s} goodbreak+ k_{s} x_{s} goodbreak+ m_{d} g \sin ((), θ_{2}) \cos ((), θ_{2}) goodbreak+ \\ f \sin ((), θ_{2}) goodbreak+ c_{d} \overset{q}{true} \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak+ k_{d} q \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak= F ((), t) \\ m_{d} {\ddot{x}}_{d} goodbreak- c_{d} \overset{q}{true} \cos ((), θ_{1}) goodbreak- k_{d} q \cos ([], θ_{1}) goodbreak- m_{d} g \sin ((), θ_{2}) \cos ((), θ_{2}) goodbreak- \\ f \sin ((), θ_{2}) goodbreak- c_{d} \overset{q}{true} \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak- k_{d} q \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak+ \\ f \sin ((), θ_{3}) goodbreak= 0 \end{array})

where f denotes the pre‐stress value of the cable. Assuming θ 1 , θ 2 , and θ 3 are all very small, the trigonometric function relationship can be obtained approximately as follows 19–21 :

({, \begin{array}{l} \begin{matrix} left \\ \sin (θ_{2}) = \frac{x_{normals} (t) - x_{normald} (t)}{h^{'}} \\ \sin (θ_{3}) = \end{matrix} \end{array})

…”

Section: Analytical Model Of a Wtt With Ps‐tmdmentioning

confidence: 99%

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Investigation and optimization of a pre‐stressed tuned mass damper for wind turbine tower

Liu

Lei

Wang

2021

Structural Contr & Hlth

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Summary With the development of megawatts wind turbines, excessive vibrations of the flexible and slender wind turbine tower under wind excitation have become increasingly prominent. To enhance implement ability of the passive control device for the tower, a new type of passive pre‐stressed tuned mass damper (PS‐TMD) is proposed in this study. A simplified mechanical calculation model of the tower with the PS‐TMD device is established, and the dynamic coefficient and vibration reduction mechanism are deduced through theoretical analysis. And then the design procedure including the optimal pre‐stress and damping coefficient for the proposed device is presented. The numerical simulation example shows that the tuning effect of PS‐TMD is better than the traditional tuned mass damper under the same conditions. The results from a shaking table test demonstrate that acceleration and dynamic displacement response are reduced about 20% and 30%, respectively.

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Section: Kinetics Model Of a Wind Turbine With Ps-tmdmentioning

confidence: 99%

“…According to Dalembert's principle, the horizontal balance equation for the WTT and the PS‐TMD device can be established as

({, \begin{array}{l} m_{s} {\ddot{x}}_{s} goodbreak+ c_{s} {\dot{x}}_{s} goodbreak+ k_{s} x_{s} goodbreak+ m_{d} g \sin ((), θ_{2}) \cos ((), θ_{2}) goodbreak+ \\ f \sin ((), θ_{2}) goodbreak+ c_{d} \overset{q}{true} \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak+ k_{d} q \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak= F ((), t) \\ m_{d} {\ddot{x}}_{d} goodbreak- c_{d} \overset{q}{true} \cos ((), θ_{1}) goodbreak- k_{d} q \cos ([], θ_{1}) goodbreak- m_{d} g \sin ((), θ_{2}) \cos ((), θ_{2}) goodbreak- \\ f \sin ((), θ_{2}) goodbreak- c_{d} \overset{q}{true} \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak- k_{d} q \cos ((), θ_{1}) \sin^{2} ((), θ_{2}) goodbreak+ \\ f \sin ((), θ_{3}) goodbreak= 0 \end{array})

where f denotes the pre‐stress value of the cable. Assuming θ 1 , θ 2 , and θ 3 are all very small, the trigonometric function relationship can be obtained approximately as follows 19–21 :

({, \begin{array}{l} \begin{matrix} left \\ \sin (θ_{2}) = \frac{x_{normals} (t) - x_{normald} (t)}{h^{'}} \\ \sin (θ_{3}) = \end{matrix} \end{array})

…”

Section: Analytical Model Of a Wtt With Ps‐tmdmentioning

confidence: 99%

Investigation and optimization of a pre‐stressed tuned mass damper for wind turbine tower

Liu

Lei

Wang

2021

Structural Contr & Hlth

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Efficacy of Pendulum Tuned Mass Dampers in Reducing Overturning Risk of Rocking Blocks Subjected to Artificial Accelerograms

Edwin,

José

2024

Earthq Engng Struct Dyn

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This study presents a comprehensive statistical analysis of the efficacy of pendulum tuned mass dampers (PTMD) in mitigating the overturning risk of rigid blocks subjected to artificial seismic loads. The block is modeled as a rigid parallelepiped undergoing rocking motion, with the PTMD characterized by its mass, length, and viscous damping properties, mounted on top of the block. The analysis includes the derivation of the differential equations of motion for the coupled system, which are numerically integrated. The seismic accelerograms are synthetically generated as realizations of a stationary random process characterized in the frequency domain by its power spectral density (PSD). Second‐order white‐noise filters are used for sample generation. A Monte Carlo simulation is performed to conduct a parametric analysis, determining the sensitivity of the PTMD parameters to seismic intensity and block slenderness. The results indicate that the efficacy of the PTMD in reducing overturning risk strongly depends on the block's slenderness and the intensity of ground motion. The TMD demonstrates robust performance for moderate ground motion and block slenderness. Although the design parameters do not exhibit systematic trends with respect to mass ratio of PTMD and block due to the inherent nonlinearity of the coupled system, stabilizing, and optimal parameter ranges can still be identified to minimize the overturning risk. Significant reduction of overturning risk can be achieved with respect to the block without PTMD.

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Optimal design of multiple tuned mass dampers for controlling the earthquake response of randomly excited structures

Zakian,

Bakhshpoori

2023

Acta Mech

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Pendulum tuned mass damper: optimization and performance assessment in structures with elastoplastic behavior

Cited by 9 publications

References 30 publications

Investigation and optimization of a pre‐stressed tuned mass damper for wind turbine tower

Investigation and optimization of a pre‐stressed tuned mass damper for wind turbine tower

Efficacy of Pendulum Tuned Mass Dampers in Reducing Overturning Risk of Rocking Blocks Subjected to Artificial Accelerograms

Optimal design of multiple tuned mass dampers for controlling the earthquake response of randomly excited structures

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