Mathematical modeling and test verification of viscoelastic materials considering microstructures and ambient temperature influence

Xu, Yeshou; Xu, Zhao‐Dong; Guo, Yingqing; Wen, Yangyang

doi:10.1080/15376494.2021.1992689

Cited by 25 publications

(7 citation statements)

References 41 publications

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“…In addition, the relative errors of the storage modulus and loss factor, G 1 and η, at various frequencies are less than 20%, which are within the requirements usually adopted in engineering applications. To further verify the effectiveness of the AEF-Zener model, taking the frequency of 1.0 rad/s, we compare its results with those of the EFMCS model (that considers the temperature-frequency equivalent principle) [45] and the experimental data. The storage modulus and the loss factor for the displacement of 1.0 mm and temperatures of −10 • C to 40 • C are illustrated in Figures 17 and 18, respectively, and summarized in Tables 6 and 7.…”

Section: Comparison Between Numerical and Experimental Resultsmentioning

confidence: 99%

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Xu,

Chen,

Lopes

et al. 2023

Fractal Fract

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Viscoelastic (VE) dampers show good performance in dissipating energy, being widely used for reducing vibration in engineering structures caused by earthquakes and winds. Experimental studies have shown that ambient temperature has great influence on the mechanical behavior of VE dampers. Therefore, it is important to accurately model VE dampers considering the effect of temperature. In this paper, a new fractional-order Zener (AEF-Zener) model of VE dampers is proposed. Firstly, the important influence of fractional orders on the energy dissipation ability of materials is analyzed. Secondly, an equivalent AEF-Zener model is developed that incorporates the ambient temperature and fractional-order equivalence principle. Finally, the chaotic fractional-order particle swarm optimization (CFOPSO) algorithm is used to determine the model’s parameters. The accuracy of the AEF-Zener model is verified by comparing model simulations with experimental results. This study is helpful for designing and analyzing vibration reduction techniques for civil structures with VE dampers under the influence of temperature.

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Section: Comparison Between Numerical and Experimental Resultsmentioning

confidence: 99%

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Xu,

Chen,

Lopes

et al. 2023

Fractal Fract

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“…Chang et al 13 proposed the seismic design guidelines for the VE-damped structures considering strain-, frequency-, and temperature-dependency by the experimental and analytical results. Some research papers that clarified or built up the numerical models for matching the said properties of the VE damper were published by Kasai et al, 14,15 Chou et al, 16 Ghaemmaghami and Kwon, 17 Zhou et al, 18 Sato et al 19,20 and Xu et al, 21 among other ones.…”

Section: 11mentioning

confidence: 99%

“…is the real part of the transfer function in velocity is given by Equation (18b). When considering the frame damping in the VE-damped system, the total energy dissipation of the VE damper in THA W d,THA is equal to the total input energy E inp,THA minus the total energy dissipation from the frame damping W fd,THA , which is given by Equation (21). Where the total energy dissipation from frame damping can treat as an integral of the damping coefficient C f multiplied by the mean square value of velocity.…”

Section: Pdm For the Wind-induced Responses Of The Ve Systemmentioning

confidence: 99%

Prediction on wind‐induced responses for tall buildings considering frequency dependency of viscoelastic damped structures

Sato,

Chang

2024

Structural Design Tall Build

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SummaryTime history analysis is sometimes used in an estimation of the wind‐induced response of a tall building. However, time history analysis for the wind‐induced behavior by the ensemble‐averaging wind force costs much computation time. This paper provides a reliable prediction method for the wind‐induced response of the viscoelastic (VE)‐damped system considering its frequency dependency coupling with frame damping effect with frequency spectral method. VE damper used in high‐rise buildings can dissipate energy from excessive vibration induced by seismic or wind excitation. Fractional derivative (FD) model of VE dampers can express VE frequency dependency clearly, but it is computationally complicated. The herein proposed prediction method is based on frequency spectral method and evaluated wind‐induced responses of the single degree of freedom (SDOF) VE‐damped system with a FD VE damper subjected to the respective 1st modal along‐ and across‐wind force. The maximum error of wind‐induced responses of the VE‐damped system, such as the root mean square value of responses, the total input energy, and the total energy dissipation, is within . In summary, the proposed method had high accuracy in the prediction of wind‐induced responses of the VE‐damped system considering its frequency dependency with the coupling effect of frame damping.

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“…The performance of viscoelastic dampers is significantly affected by ambient temperature and excitation frequency, and temperature and frequency impacts are closely related. Especially for the temperature regions of T g to T g +100 • C, the storage modulus and loss modulus at high frequency are equal to those at low temperature, and the dynamic modules at low frequency are also equivalent to those at high temperature, which has been defined as the temperature-frequency equivalent principle [38]:…”

Section: Internal Variable Theorymentioning

confidence: 99%

Experimental and Theoretical Investigation of Viscoelastic Damper by Applying Fractional Derivative Method and Internal Variable Theory

Guo

et al. 2023

Buildings

Self Cite

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Viscoelastic dampers are conventional passive vibration control devices with excellent energy dissipation performance. The fractional derivative has a simple form and high accuracy in the modelling of viscoelastic materials/dampers. The internal variables reflect the internal state evolution of materials, and are often used to analyze the deformation and thermal process of materials. In the present work, the mechanical properties of a plate-shear-type viscoelastic damper at room temperature are tested under sinusoidal displacement excitations. The impacts of frequency and displacement amplitude on the dynamic properties of the viscoelastic damper in a wide frequency domain (0.1–25 Hz) are investigated. The higher-order fractional derivative model and the temperature–frequency equivalent principle are employed to characterize the frequency and temperature influence, and the internal variable theory considering the internal/microscale structure evolutions is introduced to capture the displacement affection. The higher-order fractional derivative model modified with the internal variable theory and temperature–frequency equivalent principle (ITHF) is accurate enough in describing the dynamic behaviors of viscoelastic dampers with varying frequencies and displacement amplitudes.

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Mathematical modeling and test verification of viscoelastic materials considering microstructures and ambient temperature influence

Cited by 25 publications

References 41 publications

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Prediction on wind‐induced responses for tall buildings considering frequency dependency of viscoelastic damped structures

Experimental and Theoretical Investigation of Viscoelastic Damper by Applying Fractional Derivative Method and Internal Variable Theory

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