Generalization of the Den Hartog model and rule-of-thumb formulas for optimal tuned mass dampers

Argenziano, Mario; Faiella, Diana; Carotenuto, Angelo Rosario; Mele, Elena; Fraldi, Massimiliano

doi:10.1016/j.jsv.2022.117213

Cited by 22 publications

(3 citation statements)

References 44 publications

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“…The PMC, such as a mass-stiffness-damping device attached to the main system (Frahm 1909), is widely regarded as a relatively simple and effective control method for flow-induced vibration in civil engineering. The traditional PMC control design theory is based on a forced vibration with external excitation of sinusoidal or random signals (Den Hartog 1985;Villaverde 1985;Argenziano et al 2022). The main idea is to use energy transfer and dissipation mechanisms for vibration amplitude reduction.…”

Section: Motivation For Passive Modal Control In Vivmentioning

confidence: 99%

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Elimination of lock-in phenomenon in vortex-induced vibration by passive modal control

Luo,

Gao,

Lyu

et al. 2024

J. Fluid Mech.

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Theoretical analysis and numerical results have shown that frequency lock-in in vortex-induced vibration (VIV) is caused by the instability of the structural mode rather than a resonant response to external excitations. However, there is a lack of experimental evidence supporting relevant theoretical research findings. This study investigates VIV suppression with a passive modal controller (PMC) for a circular cylinder at Reynolds numbers $Re = 60$ and $Re = 40$ , using experiments to distinguish the effects of stable and unstable wake modes. Comparative analysis before and after the implementation of the PMC reveals significant reduction in the vibration amplitude and the disappearance of the lock-in phenomenon at $Re = 60$ . The vibration frequency closely follows the vortex shedding frequency after control, while dynamic mode decomposition of the flow field indicates that the wake mode is dominant. For $Re = 40$ , the vibration is eliminated and the flow becomes steady. Additionally, the root loci of the coupled system are investigated before and after the PMC implementation via linear stability analysis. The results indicate that the PMC can alter the dynamic characteristics of the original system, causing the structural mode and PMC mode to couple when approaching the PMC frequency. Then, the interaction typically improves the stability of the structural mode. Finally, a parametric study is conducted in the experiment, as well as a linear stability analysis. The study provides experimental evidence that stability control of the structural mode is the key to suppressing VIV and eliminating the lock-in phenomenon.

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Section: Motivation For Passive Modal Control In Vivmentioning

confidence: 99%

“…The traditional PMC control design theory is based on a forced vibration with external excitation of sinusoidal or random signals (Den Hartog 1985; Villaverde 1985; Argenziano et al. 2022). The main idea is to use energy transfer and dissipation mechanisms for vibration amplitude reduction.…”

Section: Introductionmentioning

confidence: 99%

Elimination of lock-in phenomenon in vortex-induced vibration by passive modal control

Luo,

Gao,

Lyu

et al. 2024

J. Fluid Mech.

View full text Add to dashboard Cite

show abstract

“…TMDs are acknowledged for their simple configuration, feasible installation, effective vibration suppression performance, and low cost. Conventional TMDs have gained much research attention during parametric optimal design and control performance evaluations [12][13][14][15][16]. They have also been practically applied on various structures, such as buildings [17][18][19], bridges [20,21], wind turbines [22][23][24], etc., to resist different vibrations caused by seismic activity [19,21], wind [17,20], or waves [22][23][24], etc.…”

Section: Introductionmentioning

confidence: 99%

Lightweight Design of Vibration Control Devices for Offshore Substations Based on Inerters

Wang,

Xu,

et al. 2024

Sustainability

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Offshore substations are important sustainable power infrastructures subjected to strong vibrations induced by complex environmental excitations such as wind, waves, and currents. To protect the structures and expensive facilities, lightweight vibration control devices are highly desirable in offshore substations. With a high-performance energy dissipation device, the inerter, the conventional Tuned Mass Damper (TMD) is upgraded for lightweight vibration control. The optimal parametric design and performance evaluation of single- and double-tuned vibration control devices is performed based on the H-norm criteria. The corresponding equivalent mass ratios of both single- and double-tuned vibration control devices are summarized and formulated in a systematical manner. Finally, the presented optimal design formulas, equivalent mass ratios, and control performances are validated by vibration control analyses on a practical offshore substation. The results show that inerter-based vibration control devices can be effectively equivalent to a TMD, with the equivalent mass ratio. The double-tuned inerter-based device could save 25% mass compared to a TMD. With a Tuned Mass Damper Inerter (TMDI), the responsibility for the mass could be shared with dual-end connected inerters. Meanwhile, the Tuned Viscous Mass Damper (TVMD) completely replaces the mass block with an inerter, which has a superior lightweight vibration control performance.

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Concise analytical solutions to negative‐stiffness inerter‐based DVAs for seismic and wind hazards considering multi‐target responses

Su,

Chen,

Zeng

et al. 2024

Earthq Engng Struct Dyn

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Practical engineering structures are subjected to hazardous seismic‐ and wind‐ induced vibrations during their lifetime. They should be designed based on capacity and serviceability targets. Similarly, the design of dynamic vibration absorbers (DVAs) should also meet multiple requirements. However, most current analytical approaches are based on a single‐target response and may lead to cumbersome expressions for complicated scenarios. To address these issues, concise solutions to negative‐stiffness inerter‐based DVAs are proposed in this paper. Firstly, a generic analytical optimization approach for H‐norm solutions considering different response targets of displacement, velocity, acceleration, and transmissibility, is established. Subsequently, the concise solutions are derived based on Taylor's expansion of these analytical solutions by ignoring higher‐order items of the equivalent mass ratio. Finally, the application scope and effectiveness of the proposed concise solutions are discussed. Consequently, the resulting concise solutions are proved to be located close to the pareto fronts of multi‐target optimization results. They have shown superior performances than conventional solutions in controlling the structural capacity and serviceability indicators of a practical five‐story steel frame case under dynamic wind and seismic hazards. Conclusively, the proposed concise solutions are simple in expression and reveal excellent multi‐target performances, which can provide guidance and insights for the optimal design of DVAs.

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Generalization of the Den Hartog model and rule-of-thumb formulas for optimal tuned mass dampers

Cited by 22 publications

References 44 publications

Elimination of lock-in phenomenon in vortex-induced vibration by passive modal control

Elimination of lock-in phenomenon in vortex-induced vibration by passive modal control

Lightweight Design of Vibration Control Devices for Offshore Substations Based on Inerters

Concise analytical solutions to negative‐stiffness inerter‐based DVAs for seismic and wind hazards considering multi‐target responses

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