On the dynamics of a vibration isolator with geometrically nonlinear inerter

Moraes, Fernando de Haro; Silveira, Marcos; Gonçalves, Paulo José Paupitz

doi:10.1007/s11071-018-4262-6

Cited by 61 publications

(22 citation statements)

References 30 publications

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“…Recalling the backbone curve expression in Eq. (21) and frequency-response relationship in (17), it is found that the upper limits of input power and kinetic energy of the mass is reached at the intersection point of the backbone curve and the displacement response curve.…”

Section: Discussionmentioning

confidence: 93%

“…The force transmissibility T R is obtained by harmonic balance analytical formulations based on Eqs. (17) and (32) and also by direct numerical integration results of the maximum transmitted force in the steady-state motion. The figure shows that the force transmissibility curve of the nonlinear QZS isolator extends to the high-frequency range.…”

Section: The Nim Qzs Mountmentioning

confidence: 99%

“…These investigations provide insights into the possibility of incorporating inerters alongside the horizontal springs of QZS isolators to achieve better suppression of vibration transmission. Vibration isolator with geometrically nonlinear inerter subjected to base motion excitation was investigated and it was shown to have performance benefits at high frequencies as compared to classical isolators [17]. It should be noted that in many engineering systems, there is a strong need for vibration isolation of force excitation, it is thus necessary to carry out detailed dynamic analysis to reveal the associated vibration transmission characteristics and performance of nonlinear inerter-based vibration isolators for enhanced application.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

2019

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This paper investigates a nonlinear inertance mechanism (NIM) for vibration mitigation and evaluates the performance of nonlinear vibration isolators employing such mechanism. The NIM comprises a pair of oblique inerters with one common hinged terminal and the other terminals fixed. The addition of the NIM to a linear spring-damper isolator and to nonlinear quasizero-stiffness (QZS) isolators is considered. The harmonic balance method is used to derive the steadystate frequency-response relationship and force transmissibility of the isolators subject to harmonic force excitations. Different performance indices associated with the dynamic displacement response and force transmissibility are employed to evaluate the performance of the resulting isolators. It is found that the frequency response curve of the inerter-based nonlinear isolation system with the NIM and a linear stiffness bend towards the low-frequency range, similar to the characteristics of the Duffing oscillator with softening stiffness. It is shown that the addition of NIM to a QZS isolator enhances vibration isolation performance by providing a wider frequency band of low amplitude response and force transmissibility. These findings provide a better understanding of the functionality of the NIM and assist in better designs of nonlinear passive vibration mitigation systems with inerters.

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Section: Discussionmentioning

confidence: 93%

Section: The Nim Qzs Mountmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

2019

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“…1,2 Many studies have been conducted to propose various device and structural control approaches in order to reduce the vibration response produced by earthquakes, wind, etc. [3][4][5][6][7] As a recently introduced mechanical element for structural control, the inerter has attracted an increasing amount of attention and has been studied in different fields, from the improved suspension system in mechanical [8][9][10][11][12] and railway engineering 13,14 to the protection of building structures, [15][16][17][18][19][20][21][22][23][24][25] storage tanks, [26][27][28] wind turbine towers, 29,30 platforms, 31 and performanceimproved cables [32][33][34][35] and isolation systems [36][37][38][39][40][41][42][43][44][45] in civil engineering. An inerter is a type of two-terminal inertia element, and its relative motion can be produced between the two termi...…”

Section: Introductionmentioning

confidence: 99%

Damping enhancement principle of inerter system

Zhang

Zhao

Pan

et al. 2020

Struct Control Health Monit

118

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Summary Interactions among an inerter, spring, and energy dissipation element (EDE) in an inerter system can result in a higher energy dissipation efficiency compared to a single identical EDE, which is referred to as the damping enhancement effect. Previous studies have mainly concentrated on the vibration mitigation effect of the inerter system without an explicit consideration or utilization of the damping enhancement mechanism. In this study, the theoretical essence of the damping enhancement effect is discovered, and a universal design principle is proposed for an inerter system. A fundamental equation is found and demonstrated on the basis of closed‐form stochastic responses, which establishes a bridge between the damping deformation enhancement factor (DDEF) and the response mitigation ratio, thus clarifying the relationship of the damping enhancement effect and the response mitigation effect. Inspired by the equation, a novel damping‐enhancement‐based strategy is proposed to determine the key parameters of an inerter system. Following the performance‐demand‐based design philosophy, the parameters of the inerter system can be determined in the design condition of a target‐damping‐enhancement effect. Through the implementation of the damping enhancement equation, the damping parameter of an inerter system can be directly obtained by the prespecified DDEF and the displacement response mitigation ratio. The influence of parameters on the response mitigation effect and the damping enhancement effect is then investigated to determine ways of obtaining the other two parameters in an inerter system. Finally, design examples are conducted to verify the proposed strategy and the theoretical relationship revealed by the damping enhancement equation. The results show that the proposed design strategy explicitly utilizes the damping enhancement effect for vibration control, where the target of the DDEF is effective in enhancing the efficiency of the EDE for energy dissipation. In the design condition of the target DDEF, the implementation of the proposed damping enhancement equation provides an inerter system with a practical equation to determine the key parameters of an inerter system in a direct manner.

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“…For example, some studies have suggested the importance of considering the nonlinearities of both the damping and the inerter devices. Buelga et al, 28 amongst others, [29][30][31] studied the effect of the ball-screw inerter nonlinearity on the performance of the structure to which the inerter is attached.…”

Section: Introductionmentioning

confidence: 99%

Tuned inerter dampers with linear hysteretic damping

Deastra

Wagg

Sims

et al. 2020

Earthq Engng Struct Dyn

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Summary This paper explores the influence of linear hysteretic damping on the performance of passive tuned‐inerter devices. An inerter is a device that produces a force proportional to the relative acceleration across its two terminals; devices incorporating inerters have received widespread attention in the earthquake engineering community, because they offer the ability to improve the seismic response of structures. However, the majority of this research has assumed that the damping components within the tuned‐inerter device exhibit viscous, rather than hysteretic, damping. This restriction imposes an essential question on how the hysteretic damping model will change the performance of the device compared with the viscous damping model. It is shown that the response of viscous and hysteretic inerter systems have significant differences in displacement amplitude due to the frequency dependency of the damping. Therefore, a new formulation for obtaining the optimum loss factor of the hysteretic damping in the inerter system is proposed. Next, the challenges associated with accurately predicting the time‐response of a hysteretically damped system are discussed. A numerical time‐integration method is extended to address these challenges, using a new formulation that has the benefit of being broadly applicable to multidegree‐of‐freedom hysteretic linear systems and nonstationary random signals. The results show that the earthquake responses from the hysteretic damping model can differ significantly from the ones obtained via the viscous model.

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On the dynamics of a vibration isolator with geometrically nonlinear inerter

Cited by 61 publications

References 30 publications

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

Dynamic analysis and performance evaluation of nonlinear inerter-based vibration isolators

Damping enhancement principle of inerter system

Tuned inerter dampers with linear hysteretic damping

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