Effects of play and inerter nonlinearities on the performance of tuned mass damper

Brzeski, P.; Perlikowski, Przemysław

doi:10.1007/s11071-016-3292-1

Cited by 51 publications

(32 citation statements)

References 32 publications

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“…, adds a kinetic energy . This explains Figure 2 in [33]. The inerter acts to effectively bind part of the combined mass of all the damper components M T to the structure, with m * s = M T − m * .…”

Section: Liquid-immersed Tmdmentioning

confidence: 98%

“…Figure 10. Damper with inerter (the small black box) as considered in [33]. The equivalent simple TMD is shown as the dashed components.…”

Section: Tuned Liquid Column Dampermentioning

confidence: 99%

“…One proposed application of the inerter for vibration damping is given in [33] and shown in Figure 10. The inerter, whose mass is M in.…”

Section: Liquid-immersed Tmdmentioning

confidence: 99%

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Effective Mass of Tuned Mass Dampers

2018

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Tuned Mass Dampers (TMDs) are widely used for the control and mitigation of vibrations in engineering structures, including buildings, towers, bridges and wind turbines. The traditional representation of a TMD is a point mass connected to the structure by a spring and a dashpot. However, many TMDs differ from this model by having multiple mass components with motions of different magnitudes and directions. We say that such TMDs have added mass. Added mass is rarely introduced intentionally, but often arises as a by-product of the TMD suspension system or the damping mechanism. Examples include tuned pendulum dampers, tuned liquid dampers and other composite mechanical systems. In this paper, we show how a TMD with added mass can be analyzed using traditional methods for simple TMDs by introducing equivalent simple TMD parameters, including the effective TMD mass, the mass of the equivalent simple TMD. The presence of added mass always reduces the effective TMD mass. This effect is explained as a consequence of smaller internal motions of the TMD due to the increased inertia associated with the added mass. The effective TMD mass must be correctly calculated in order to predict the TMD efficiency and in order to properly tune the TMD. The developed framework is easy to apply to any given general linear TMD system with a known motion. Here, we demonstrate the approach for a number of well-known examples, including tuned liquid dampers, which are shown to use only a small fraction of the total liquid mass effectively.

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Section: Liquid-immersed Tmdmentioning

confidence: 98%

“…Figure 10. Damper with inerter (the small black box) as considered in [33]. The equivalent simple TMD is shown as the dashed components.…”

Section: Tuned Liquid Column Dampermentioning

confidence: 99%

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Effective Mass of Tuned Mass Dampers

2018

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“…Pietrosanti et al [41] presented the optimal design and performance evaluation of systems with tuned mass damper inerter (TMDI). Brzeski et al [42] studied the effects of inerter nonlinearities on the performance of tuned mass damper. Marian et al [43] introduced the optimal design of a novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems.…”

Section: Introductionmentioning

confidence: 99%

Study on Adaptive-Passive and Semi-Active Eddy Current Tuned Mass Damper with Variable Damping

et al. 2018

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Tuned mass damper (TMD) is a widely used vibration control device, consisting of a mass, some springs and damping elements. Viscous damper is mostly used as a damping element; however, it has many unsustainable problems, e.g., poor durability, sensitive to the change of temperature, difficult to adjust the damping, oil leakage etc. In this paper, a new sustainable adaptive-passive eddy current tuned mass damper (ECTMD) with variable damping, which is very easy to be further upgraded to a semi-active one, is proposed. Four important parameters, e.g., adsorption position of permanent magnets, thickness of the conductive plate, thickness of the extra steel plate and the air gap between permanent magnets and the conductive plate are investigated by a parametric study. Two new evaluation indexes are put forward to indicate the damping mechanism of the proposed device. The relationship between effective damping coefficient and air gap is fitted through a quadratic function. Then, the corresponding design method of the proposed adaptive-passive ECTMD is presented. At last, the previous adaptive-passive ECTMD is upgraded to a semi-active one, which can adjust its eddy current damping through adjusting its air gap in real-time, based on the linear-quadratic-Gaussian algorithm. The effectiveness of semi-active ECTMD is evaluated through harmonic excitations and human-induced excitations. The results show that the semi-active ECTMD with variable damping has a better vibration control effect than the optimized passive one.

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“…Then, the identified model of ISD has been used in the numerical model of suspension system. The dynamics of TMDs with inerters has been investigated by Brzeski et al [15]. The influence of different nonlinearities such as dry friction and backlash in the inerter gears on the behavior of TMD has been evaluated in this study.…”

Section: Introductionmentioning

confidence: 99%

Experimental Analysis of Inerter-Based Suspension Systems for Slender Structures

Siami

Karimi

Cigada

et al. 2018

Designs

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Earthquakes and ambient vibrations can cause serious problems for cultural heritage objects; consequently, preserving these objects against mentioned sources of vibration has received more attention in recent years. To address this problem, in this paper, inerter is used to overcome the deficiency of a vibration isolator in the lower frequency range and performance of this passive device is evaluated experimentally. Specifically, first, the scaled model of an actual isolator and statue is presented. This structure has been designed and manufactured based on the results of a performance test, which has been performed on a famous statue of Michelangelo Buonarroti: Pieta Rondanini. In order to improve the performance of the isolator, a ball-screw type inerter has been designed and manufactured in this research. This device is introduced to the scaled structure and its effect on the dynamic behavior of the isolator is checked using a sine sweep vibration test. The experimental tests were performed on a shaking table in the horizontal direction. Then, the effectiveness of inerters on the dynamic behavior of the isolation system is demonstrated. It is shown that the isolator equipped with the manufactured inerters has better performance in the lower frequency range.

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Effects of play and inerter nonlinearities on the performance of tuned mass damper

Cited by 51 publications

References 32 publications

Effective Mass of Tuned Mass Dampers

Effective Mass of Tuned Mass Dampers

Study on Adaptive-Passive and Semi-Active Eddy Current Tuned Mass Damper with Variable Damping

Experimental Analysis of Inerter-Based Suspension Systems for Slender Structures

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