Response regimes in equivalent mechanical model of strongly nonlinear liquid sloshing

Farid, Maor; Gendelman, Oleg

doi:10.1016/j.ijnonlinmec.2017.04.006

Cited by 21 publications

(10 citation statements)

References 22 publications

(69 reference statements)

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“…The value of the exponent α shall be taken as 1.5 if one considers a Hertz collision between two spheres, however other choices are also admitted, see e.g. [35,36,38,39].…”

Section: Contact Force Modelingmentioning

confidence: 99%

A vibro-impact acoustic black hole for passive damping of flexural beam vibrations

Touzé

Pelat

et al. 2019

Journal of Sound and Vibration

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Nonlinear flexural vibrations of slender beams holding both an Acoustic Black Hole termination and a contact non-linearity are numerically studied. The Acoustic Black Hole (ABH) effect is a passive vibration mitigation technique, which has shown attractive properties above a given cut-on frequency. In this contribution, a vibro-impact acoustic black hole (VI-ABH) is introduced, the contact nonlinearity being used as a mean to transfer energy from low to high frequencies. A numerical model of a VI-ABH is derived from an Euler-Bernoulli beam. The contact law is handled with a penalization approach, the visco-elastic layer with a Ross-Kerwin-Ungard model and the problem is solved with a modal approach combined with an energy-conserving time integration scheme. Numerical results show that the VI-ABH brings about important modifications, and changes the nature of more traditional black holes, by redistributing all the vibrational energy. It can lead to a strong decrease of the resonance magnitude at low frequencies. Under steady state noise excitation, parametric studies are realised in the cases of a single contact, a grid of contacts and bilateral contacts layouts, in order to find some optimal designs. Transient dynamics is also studied through the analysis of displacement signal envelope and energy decay time. All the numerical results constantly show that the combination the ABH effect and an energy transfer provided by contact nonlinearity leads to very attractive mitigation template including low frequencies.

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“…The value of the exponent α shall be taken as 1.5 if one considers a Hertz collision between two spheres, however other choices are also admitted, see e.g. [35,36,38,39].…”

Section: Contact Force Modelingmentioning

confidence: 99%

A vibro-impact acoustic black hole for passive damping of flexural beam vibrations

Touzé

Pelat

et al. 2019

Journal of Sound and Vibration

View full text Add to dashboard Cite

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“…SMR has received extensive attention and researched in Refs. [21][22][23]. It has special advantages in vibration suppression, which also provides a new idea and reference index for optimizing the design of NES [24,25].…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness

et al. 2021

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Nonlinear energy sink (NES) refers to a typical passive vibration device connected to linear or weakly nonlinear structures for vibration absorption and mitigation. This study investigates the dynamics of 1-dof and 2-dof NES with nonlinear damping and combined stiffness connected to a linear oscillator. For the system of 1-dof NES, a truncation damping and failure frequency are revealed through bifurcation analysis using the complex variable averaging method. The frequency detuning interval for the existence of the strongly modulated response (SMR) is also reported. For the system of 2-dof NES, it is reported in a similar bifurcation analysis that the mass distribution between NES affects the maximum value of saddle-node bifurcation. To obtain the periodic solution of the 2-dof NES system with the consideration of frequency detuning, the incremental harmonic balance method (IHB) and Floquet theory are employed. The corresponding response regime is obtained by Poincare mapping, it shows that the responses of the linear oscillator and 2-dof NES are not always consistent, and 2-dof NES can generate extra SMR than 1-dof NES. Finally, the vibration suppression effect of the proposed NES with nonlinear damping and combined stiffness is analyzed and verified by the energy spectrum, and it also shows that the 2-dof NES system demonstrates better performance.

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“…Impact dampers were also investigated for turbomaschinery in [8]. Closely related to impact dampers are tuned liquid dampers,9–11 which take advantage of a water tank and sloshing to reduce the main systems amplitudes. Magneto‐electro‐rheological dampers12–15 constitute a damper with actively adjustable parameters, e.g.…”

Section: Introductionmentioning

confidence: 99%

Investigations on amplitude adaptive sequential friction‐spring dampers

2019

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This paper presents two sequential friction‐spring damper configurations and develops numerical and analytical models, which describe the systems' behavior. The dampers rely on the non‐smooth characteristics of dry friction to quench unwanted oscillations and only dissipate energy once a preset breakaway force of the friction element is exceeded. Since no additional control is required and the dissipation is only present within a given frequency range, this passive amplitude adaptive dissipation contributes to a higher energy efficiency. The dampers' equations of motion are derived and implemented in a numerical model to gain the first insights into the dampers' behavior. These equations of motion are analyzed via averaging methods in combination with a modal decoupling for nonlinear systems, which lead to the dampers' analytical models. The results from both models are compared and show reasonable agreement within the validity range of asymptotic methods. This work proposes two friction based amplitude adaptive dampers and offers a starting point for future experimental validation.

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Response regimes in equivalent mechanical model of strongly nonlinear liquid sloshing

Cited by 21 publications

References 22 publications

A vibro-impact acoustic black hole for passive damping of flexural beam vibrations

A vibro-impact acoustic black hole for passive damping of flexural beam vibrations

Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness

Investigations on amplitude adaptive sequential friction‐spring dampers

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