A fractional approach to the time-temperature dependence of dynamic viscoelastic behavior

Li, Z. L.; Qi, Yuan; Sun, Bao; Jia, Changyuan; Zhang, W. J.; Yan, Bijuan; Shi, Qinglu

doi:10.1007/s12206-018-1214-5

Cited by 9 publications

(3 citation statements)

References 24 publications

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“…Li et al [117] proposed a combined thermo-VE model based on the fractional VE constitutive law merged with the frequency-temperature superposition rule and the WLF formula used to compute the shift parameter. The model was verified experimentally in the tensile test and DMA.…”

Section: Influence Of Temperature On Ve Parameters and Behavior Of Ve...mentioning

confidence: 99%

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Lewandowski,

Litewka,

Łasecka-Plura

et al. 2023

Buildings

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The paper is devoted to a review of recent achievements in the field of dynamic analysis of structures and structural elements, such as beams and plates, with embedded viscoelastic (VE) dampers and/or layers. The general characteristics of VE materials, their rheological models, and methods of parameters identification are discussed. New formulations of dynamic problems for systems with VE elements are also reviewed. The methods of determination of dynamic characteristics, together with the methods of analysis of steady-state and transient vibrations of such systems, are also discussed. Both linear and geometrically non-linear vibrations are considered. The paper ends with a review of the methods of sensitivity and uncertainty analysis, and the methods of optimization, for structures with VE elements.

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Section: Influence Of Temperature On Ve Parameters and Behavior Of Ve...mentioning

confidence: 99%

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Lewandowski,

Litewka,

Łasecka-Plura

et al. 2023

Buildings

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“…Li [10] compared the viscoelastic characteristics of the rubber in the time domain and the frequency domain and established the friction type belt transmission thermal coupling model of the V-belt transmission system. Based on the constant fractional-order viscoelastic constitutive model and the WLF equation, Li [11] proposed a fractional time-temperature superposition principle model with high precision and great frequency-extended capacity. Mei et al [12] established a modified fractional-order Maxwell model to characterize the quasi-static and the dynamic behavior of the concrete.…”

Section: Introductionmentioning

confidence: 99%

Variable-Order Fractional Dynamic Behavior of Viscoelastic Damping Material

Li¹,

Wang²,

Zhang³

et al. 2021

Preprint

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Viscoelastic damping material has been widely used in engineering machinery to absorb vibration and noise. In engineering, the dynamic behavior of the viscoelastic material is mainly affected by temperature and frequency. Classical dynamic behavior equations of the viscoelastic damping material have complex structures with multiple and ambiguous parameters. So a novel variable-order fractional constitutive model (VOFC) is established based on the variable-order fractional operator. Then the viscoelastic dynamic equations are derived by the Laplace transform of the VOFC model. The DMA test by the three-point bending mode is carried out at variable temperatures and frequencies and the frequency spectrum of the dynamic behaviors, i.e., the loss modulus, the storage modulus and the loss factor are obtained. Against the test data ,the VOFC model is compared with classical models such as the integer-order Maxwell model (IOM), the constant fractional-order Kelvin-Voigt model (CFK), the constant fractional-order Maxwell model (CFM) and the constant fractional-order standard linear solid model (CFS). Through the comparison , it can be found that the VOFC model can describe dynamic behaviors of the viscoelastic damping material at different temperatures and frequencies more accurately. Furthermore, the VOFC model has simpler structure and only two parameters with clearly-physical meanings.

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“…Wang developed a high speed extrusion equipment for fused deposition of pellet materials. In order to use pellet polyurethane for 3D printing, Li et al . designed a series of experiments for the effects of processing parameters on the forming process and mechanical properties of support structure, and obtained the optimal range of these parameters for manufacturing auricular cartilage scaffold.…”

Section: Introductionmentioning

confidence: 99%

A large‐scale double‐stage‐screw 3D printer for fused deposition of plastic pellets

Liu

Chi²,

Jiao

et al. 2017

J of Applied Polymer Sci

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Fused deposition molding (FDM) is the most popular technology in the fields of three‐dimensional printing, but it is hard to use a variety of plastic materials due to the limitation of filament form of material. Using plastic pellets as printing materials gives advantages in cost, processing speed, and available materials. In this work, a large‐scale double‐screw FDM three‐dimensional printer based on plastic pellets has been designed. It is capable of printing large plastic products at a low cost and high speed. Using ABS + 10%GF as printing material, this work is first focused on the effects of the pressure and speed of the metering screw on the flowrate of melt. The equation for the relationship of these three parameters was established as well. Based on this equation, the effects of melt flow, printing speed, and layer thickness on the width of fused filament were investigated with experiments. Furthermore, the effects of printing spacing between fused filaments on surface accuracy and bonding strength were also explored. By printing models, it was revealed that the designed printer is able to print products with plastic pellets. © 2017 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2017, 134, 45147.

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A fractional approach to the time-temperature dependence of dynamic viscoelastic behavior

Cited by 9 publications

References 24 publications

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Dynamics of Structures, Frames, and Plates with Viscoelastic Dampers or Layers: A Literature Review

Variable-Order Fractional Dynamic Behavior of Viscoelastic Damping Material

A large‐scale double‐stage‐screw 3D printer for fused deposition of plastic pellets

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