Design and identification of parameters of tuned mass damper with inerter which enables changes of inertance

Lazarek, Mateusz; Brzeski, P.; Perlikowski, Przemysław

doi:10.1016/j.mechmachtheory.2017.09.004

Cited by 40 publications

(22 citation statements)

References 23 publications

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“…Also, the position of a period doubling bifurcation which destroys the stability of 1:8 oscillations is different from what we observe experimentally. We think that the difference between the numerical results and the experiment mainly comes from the dissipation modelling approach which strongly simplifies the real phenomena [14,49]. In panel (d) we show the results that correspond to 1:4 oscillations.…”

Section: Ranges Of Stabilitymentioning

confidence: 91%

Sample-Based Methods of Analysis for Multistable Dynamical Systems

Brzeski

Perlikowski

2018

Arch Computat Methods Eng

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In this paper we present how sample based analysis can complement classical methods for analysis of dynamical systems. We describe how sample based algorithms can be utilized to obtain better understanding of complex dynamical phenomena, especially in multistable dynamical systems that are difficult for analytical investigations. Relying on the simple, direct numerical integration algorithms we are able to detect all possible solutions including hidden and rare attractors; investigate the ranges of stability in multiple parameters space; analyse the influence of parameters mismatch or model imperfections; assess the risk of dangerous or unwanted behaviour and reveal the structure of multidimensional phase space. For each mentioned application we present methodology, example on paradigmatic non-linear dynamical system and discuss practical applications. The presented methods of analysis can be applied to solve numerous of scientific problems originating from different disciplines. Moreover, their robustness and efficiency will grow with the upcoming increase of computational power.

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Section: Ranges Of Stabilitymentioning

confidence: 91%

Sample-Based Methods of Analysis for Multistable Dynamical Systems

Brzeski

Perlikowski

2018

Arch Computat Methods Eng

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“…Physical realizations of inerters with an approximate linear behavior have been carried out by means of flywheels with rack-andpinion and ball-screw mechanisms [2,3]. Other implementations include fluid inerters [4][5][6] and more advanced designs, as planetary flywheel inerters [7] and inerters with variable inertance [8][9][10]. Since their introduction in the earlies 2000s, inerters have been attracting an increasing research interest.…”

Section: Introductionmentioning

confidence: 99%

Design of inerter-based multi-actuator systems for vibration control of adjacent structures

Quiñonero

Massegú

Rossell

et al. 2019

Journal of the Franklin Institute

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Distributed multi-actuator systems can provide effective solutions for mitigating the vibrational response of large structures. In this paper, we present a computational strategy to design inerter-based multi-actuation systems for the seismic protection of adjacent structures. The proposed approach allows considering both interstory and interbuilding Tuned Mass-Inerter Damper (TMID) actuators, and aims at simultaneously reducing the vibrational response of the individual buildings and avoiding the interbuilding impacts. The tuning procedure is based on an H ∞ costfunction and uses a constrained global-optimization solver to compute parameter configurations with high-performance characteristics. To illustrate the main features of this work, two different Tuned Inerter Damper (TID) multi-actuator schemes are considered for the seismic protection of a particular multi-story two-building system. A multi-actuator Tuned Mass Damper (TMD) system is also designed and is taken as a reference in the performance assessment. The obtained results demonstrate the flexibility and effectiveness of the proposed design methodology, and clearly show the superior performance and robustness of the TID actuation systems.

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“…Theoretical performance advantages of inerter-based suspension systems and vibration absorbers have been identified for a wide range of mechanical systems, including road vehicles [25,26,27], railway vehicles [28,29,30], aircraft landing gear systems [31,32,33], building structures [34,35,36] and bridge cables [37]. Research efforts have also been made regarding physical realizations of inerters, which can take different forms, including rack and pinion [38], ball-screw [39], hydraulic [40] and more recently introduced fluid inerters [41,42]. Even though larger inertance can be achieved with small device mass via mechanical or hydraulic gearing, limiting required inertance values is important for practical applications.…”

Section: Introductionmentioning

confidence: 99%

Identification of optimum cable vibration absorbers using fixed-sized-inerter layouts

Luo

Macdonald

Jiang

2019

Mechanism and Machine Theory

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Cables are widely used in cable-stayed bridges and other civil engineering structures, but they often experience large amplitude vibrations due to their low inherent damping. Recent studies have shown that inerter-based vibration absorbers with two or three elements can provide significant performance improvements with very large inertance. Such large inertance leads to difficulties in physical implementation. Meanwhile, alternative inerter-based layouts with more elements could potentially provide better performance with significantly smaller inertance. However, studying these configurations one by one is impractical because the number of possible absorber layouts increases exponentially with the number of elements. This paper, using two types of fixed-sized-inerter (FSI) layouts, presents an efficient and systematic optimum configuration identification methodology. A simplification procedure is also adopted to then simplify the obtained configurations while not compromising the performance gains. Using this approach, it is shown that when the number of elements is increased from three to four, significant enhancement can be obtained even with small inertance values. The proposed approach can also be applied to vibration problems of other mechanical structures and with other performance criteria.

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Design and identification of parameters of tuned mass damper with inerter which enables changes of inertance

Cited by 40 publications

References 23 publications

Sample-Based Methods of Analysis for Multistable Dynamical Systems

Sample-Based Methods of Analysis for Multistable Dynamical Systems

Design of inerter-based multi-actuator systems for vibration control of adjacent structures

Identification of optimum cable vibration absorbers using fixed-sized-inerter layouts

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