Theoretical and Experimental Study of Viscoelastic Damper Based on Fractional Derivative Approach and Micromolecular Structures

Xu, Yeshou; Xu, Zhao‐Dong; Guo, Yingqing; Ge, Teng; Xu, Chunxiang; Huang, Xing‐Huai

doi:10.1115/1.4042517

Cited by 28 publications

(19 citation statements)

References 28 publications

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“…Several dampers such as ferrofluid damper, viscous damper, viscoelastic damper, friction damper, eddy current damper and metallic damper were reported by various researchers such as Yu et al [60], Zhou et al [61], Constantinou et al [62], Ye et al [63], Jiao et al [64], Tsai et al [65], Javanmardi et al [66], etc Yang [67] suggested two different types of ferrofluid dampers that might be applied to reduce rotating machine vibration. The ferrofluid being studied has a better damping effectiveness, making it more effective going forward for suppressing system vibration [68], controlling vibratory motion like noise [69], and mechanical oscillation by dissipating energy [70,71]. It can be shown that damping is often high when high shear strain and low angular frequency are applied.…”

Section: Damping Factor Analysismentioning

confidence: 99%

A trivalent ferrite ferrofluid compound’s rheological response to angular frequency, magnetic induction and shear induction of chain clusters

Abideen A,

Pant

2023

Phys. Scr.

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At low and high temperatures in the presence and absence of magnetic fields, the effects of shear rate, angular frequency, and shear strain on the rheological characteristics of zinc ferrite ferrofluid is investigated. Chemical co-precipitation was used to create a zinc ferrite ferrofluid that was then coated with oleic acid to improve the stability of the fluid's particles and avoid particle agglomeration. We looked at the rheological characteristics caused by the induced magnetic field, such as the shear stress, complex viscosity, storage modulus, loss modulus, relaxation modulus, viscous torque, damping factor, and figure of merit. From the analysis of time dependent relaxation modulus, a steady-state rheological system is formed at time interval beyond 50 s. As the shear and complex viscosities increase with an increase in magnetic field and a decrease in temperature, obstruction to fluid flow is produced. When a rheological system operates at low angular frequency and high shear rate, high shear stress is loaded; when it operates at high angular frequency and low shear rate, low shear stress is loaded. The oscillatory mode test demonstrates a change in structure from solid to liquid due to the establishment of a crossover point, supporting the solid-liquid phase transition behavior. The damping analysis demonstrates that the system is in fact excessively dampened, and it may now be utilized to reduce vibrations in a system. The system is really overdamped, according to the damping study, and can therefore be used to reduce vibrations in other systems. The fluid exhibits non-Newtonian shear-thinning behavior as shear rates increase. A high viscous torque is created at low shear strain and high angular frequency, which leads to the creation of a strong rotating magnetic field.

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Section: Damping Factor Analysismentioning

confidence: 99%

A trivalent ferrite ferrofluid compound’s rheological response to angular frequency, magnetic induction and shear induction of chain clusters

Abideen A,

Pant

2023

Phys. Scr.

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“…The mechanical model of the viscoelastic damper uses the regular polyhedron chain network models proposed by Xu et al ., 42 which can accurately describe the mechanical properties of the viscoelastic damper. In this mechanical model, the change rule of

G_{1}

G_{2}

, and

η

with temperature and frequency are expressed as follows:

\begin{matrix} G_{1} = \frac{n_{s 1} m}{3 r_{0 s}} \frac{k_{1}^{2} c_{1} {(α_{T} ω)}^{α} \cos false(α π / 2 false) + false(k_{1} + k_{2} false) c_{1}^{2} {(α_{T} ω)}^{2 α} + k_{1}^{2} k_{2}}{k_{1}^{2} + c_{1}^{2} {(α_{T} ω)}^{2 α}} \\ + \frac{n_{c 1} n}{3 r_{0 c}} \frac{k_{3}^{2} c_{2} {(α_{T} ω)}^{β} \cos false(β π / 2 false) + k_{3} c_{2}^{2} {(α_{T} ω)}^{2 β}}{k_{3}^{2} + 2 k_{3} c_{2} {(α_{T} ω)}^{β} + \cos false(β π / 2 false) c_{2}^{2} {(α_{T} ω)}^{2 β}} \end{matrix}

\begin{matrix} G_{2} = \frac{n_{s 1} m}{3 r_{0 s}} \end{matrix}

…”

Section: Numerical Investigations On Seismic Upgraded Rc Frames By Vhbdmentioning

confidence: 99%

Design parameters and material‐scale damage evolution of seismic upgraded RC frames by viscoelastic haunch bracing‐dampers

Dong

et al. 2020

Earthq Engng Struct Dyn

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To improve the seismic design of reinforced concrete (RC) frame structures and upgrade existing RC frame structures that have insufficient seismic design, a new suitable seismic upgraded solution, the installation of viscoelastic haunch bracing‐dampers (VHBD) to increase the seismic performance of RC frames, is proposed in this paper. For a comprehensive and systematical research about this new upgraded frames system, a comparative study on the seismic performance between 15 RC frame structure specimens by adding the VHBD with different design parameters and one common RC frame structure specimen is performed under sinusoidal dynamic loading. The specific items of seismic performance mainly include hysteresis performance, load‐bearing capacity, stiffness degradation, energy dissipation capacity, and additional damping ratio, and so on. First, on the basic of this, the material‐scale damage evolution of structure specimens at each stage is qualitatively analyzed. Then, six reasonable material‐scale damage indexes that can describe the damage evolution of the structures precisely are proposed. Finally, a quantitative comparative analysis on the material‐scale damage evolution of structure specimens in the whole process is carried out under different design parameters. The research results indicate that the upgraded scheme (reasonable design parameters of λ and θ) proposed in this study can improve the seismic performance of RC frame structures to the appropriate level required for the design, in terms of load‐bearing capacity, stiffness, energy dissipation capacity, and damping ratio. At the same time, the failure mode of the structures can be well controlled. The occurred damage at beam‐column joints is reasonably transferred to the beam area, which can guarantee the seismic design requirements of “strong joints and weak components.”

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“…Where G 1 , G 2 , and η denote the storage modulus, loss modulus and loss factor of viscoelastic materials. There is an equivalent relationship between high temperature and low frequency for most viscoelastic materials when the temperature is from the glass transition temperature Tg to Tg + 100 • C, which can be described by the temperature-frequency equivalent theory (Xu et al, 2014(Xu et al, , 2015(Xu et al, , 2016Xu Y. S. et al, 2019), as shown in Equation (16)…”

Section: Modification Of the Seven-parameter Fractional Derivative Modelmentioning

confidence: 99%

“…Liu and Xu (2006) adopt the higher-order fractional derivative model to discuss the rheological properties of human bones, and the test and numerical results show that the higher-order fractional derivative model is successful and efficient in describing the viscoelasticity of human tissues. Xu et al (2014Xu et al ( , 2015Xu et al ( , 2016, Xu Y. S. et al (2019) combined the fractional derivative mathematical models and the temperature-frequency equivalent theory to characterize the effects of ambient temperature and frequency on dynamic performance of viscoelastic dampers.…”

Section: Introductionmentioning

confidence: 99%

Properties Tests and Mathematical Modeling of Viscoelastic Damper at Low Temperature With Fractional Order Derivative

Dong

Huang

et al. 2019

Front. Mater.

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In the present paper, several dynamic properties tests of the viscoelastic damper at −5 • C are conducted under different frequencies and displacements to investigate the dynamic behavior of the viscoelastic damper at low temperature. The seven-parameter fractional derivative model is modified with the temperature-frequency equivalent principle and utilized to describe the dynamic properties of the viscoelastic damper. The 9050A and ZN22 viscoelastic materials are used to verify the modified seven-parameter fractional derivative model. The experimental and numerical results show that the viscoelastic damper has perfect energy dissipation capacity at low temperature, and the modified seven-parameter fractional derivative model can well capture the dynamic behavior of viscoelastic materials and dampers.

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Theoretical and Experimental Study of Viscoelastic Damper Based on Fractional Derivative Approach and Micromolecular Structures

Cited by 28 publications

References 28 publications

A trivalent ferrite ferrofluid compound’s rheological response to angular frequency, magnetic induction and shear induction of chain clusters

A trivalent ferrite ferrofluid compound’s rheological response to angular frequency, magnetic induction and shear induction of chain clusters

Design parameters and material‐scale damage evolution of seismic upgraded RC frames by viscoelastic haunch bracing‐dampers

Properties Tests and Mathematical Modeling of Viscoelastic Damper at Low Temperature With Fractional Order Derivative

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