Modeling of a quasi-zero static stiffness mount fabricated with TPU materials using fractional derivative model

Zheng, Yawei; Shangguan, Wen‐Bin; Liu, Xiao‐Ang

doi:10.1016/j.ymssp.2022.109258

Cited by 20 publications

(3 citation statements)

References 39 publications

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“…Cai et al [40] constructed the QZS metamaterial model by parallel combination of two pairs of folded beams and two pairs of curved beams, and obtained the low-frequency band gap through theoretical analysis. Zheng et al [41] analyzed the positive and negative parallel QZS brackets fabricated with TPU materials using a fractional derivative model. Compared to mechanically connected QZS structures, they are smaller and have better theoretical performance, however, its structural characteristics make the design and analysis process cumbersome, which limits its practical application.…”

Section: Introductionmentioning

confidence: 99%

Tunable integrated quasi-zero-stiffness metamaterials for ultra-low-frequency vibration isolation

Yang,

Wu,

Wang

et al. 2024

Preprint

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Quasi-zero-stiffness (QZS) structures play an important role in ultra-low frequency vibration isolation due to its nonlinear mechanical properties, how to make it more lightweight while ensuring performance is an important research topic in expanding its application areas. In this paper, an integrated QZS metamaterial element for ultra-low frequency vibration isolation (around 4Hz). Relying on the nonlinear mechanical properties of metamaterials, the initial structural parameters are optimized to achieve QZS within a specific deformation range, providing a theoretical analysis basis for structural performance design. Static simulation analysis and experiments verified the effectiveness of the optimization design process. Further vibration experiments confirmed the ultra-low frequency vibration isolation ability of this metamaterial element. This customizable metamaterial with a size of tens of millimeters provides new ideas and solutions for ultra-low frequency vibration isolation of small precision components.

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Section: Introductionmentioning

confidence: 99%

Tunable integrated quasi-zero-stiffness metamaterials for ultra-low-frequency vibration isolation

Yang,

Wu,

Wang

et al. 2024

Preprint

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“…In the course of the presented work, we extensively make use of pertinent models from so-called fractional viscoelasticity [ 5 , 6 , 7 , 8 , 9 ]: a logarithmic-type creep model, the so-called Lomnitz model [ 10 , 11 , 12 , 13 , 14 ] and a power-law type creep (and relaxation) model, the so-called Scott Blair model [ 15 , 16 , 17 , 18 ]. With regard to the previous applications of these models toward polyurethane- and polyurethane-based materials see, e.g., [ 19 , 20 , 21 , 22 ].…”

Section: Introductionmentioning

confidence: 99%

Scott Blair Fractional-Type Viscoelastic Behavior of Thermoplastic Polyurethane

Pichler,

Oberparleiter,

Lackner

2023

Polymers

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In this paper, the experimental characterization of the viscoelastic properties of thermoplastic polyurethane (TPU) samples through creep experiments is presented. Experiments were conducted at different constant temperature levels (15, 25, and 35 ∘C), for three different tensile stress levels (0.3, 0.5, and 0.7 MPa), and at different physisorbed water contents, providing access to: (i) the temperature dependency of creep parameters and (ii) the assessment, if behavior is indeed viscoelastic. The physisorbed water content was achieved by exposing virgin samples to environments with relative humidity ranging from 0 to 80 percent until mass stability was reached. Creep tests were conducted immediately afterwards with this particular humidity level. The main results of this study are as follows. The temperature dependency of the obtained creep parameters is well described in Arrhenius plots. With regard to water content, two prototype material responses were observed in the experimental program and accurately modeled using the following fractional-type models: (i) Scott Blair-type (i.e., power-law-type) only behavior, pronounced for the combination of low water content/low temperature; (ii) combined Scott Blair plus Lomnitz (i.e., log-type) behavior for high water content/high temperature. This change in behavior associated with certain thresholds for the specified environmental conditions (temperature and relative humidity) may indicate the initiation of hydrogen bond breakage and rearrangement (carbamate H-bonds and physisorbed water H-bonds). Regarding the short-term or quasi-instantaneous behavior, the Scott Blair element seems highly appropriate and may be better suited than the standard elastic model: the Hookean spring. We associated Scott Blair behavior with the load-induced, quasi-instantaneous re-arrangement of polymer network chains. The secondary viscoelastic mechanism associated with the Lomnitz element, hydrogen bond breakage and rearrangement, comes into play for higher temperatures and/or higher physisorbed water contents. In this case, the contribution of the two constitutive elements is well separated due to the large number of the characteristic time of the Lomnitz element, much larger than the respective value for the Scott Blair element.

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“…With the continuous development of 3D printing and compliant mechanisms, vibration isolation mechanisms can become more compact and reliable, and exhibit excellent vibration isolation performance [22][23][24][25][26][27]. Numerous conventional structures demonstrate intriguing nonlinear properties when subjected to conditions of significant deformations, thereby presenting promising prospects for vibration isolation.…”

Section: Introductionmentioning

confidence: 99%

Design of a Dual-arched Structure for Low-frequency Vibration Isolation with Enhanced Quasi-Zero-Stiffness Characteristics

Feng,

Guo,

Feng

et al. 2023

Preprint

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This paper proposes a dual-arched nonlinear anti-vibration structure (D-ANAVS) and systematically investigates its nonlinear characteristics to assess its vibration suppression performance. The D-ANAVS consists of a dual arrangement of arch-shaped arcs, which demonstrates a distinctive characteristic characterized by the combination of linear and geometric nonlinear stiffness during the compression. This distinctive attribute distinguishes the D-ANAVS from other structures, endowing it with an extended quasi-zero stiffness range in displacement and greatly enhancing its performance in effectively suppressing vibrations. A lumped parameter model of the D-ANAVS is introduced to comprehensively analyze its static and dynamic behaviors. The investigation specifically focuses on examining the influence of various structural parameters on the observed nonlinearities. A prototype is meticulously designed and fabricated using thermoplastic polyurethane (TPU) material. Experimental tests are conducted to assess its efficacy in suppressing vibrations. The obtained results unequivocally demonstrate the remarkable capability of the D-ANAVS to significantly attenuate vibrations within the low-frequency range. The results obtained from this study offer compelling empirical evidence that substantiates the effectiveness of the D-ANAVS as a robust vibration suppression solution applicable to a wide range of engineering applications.

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Modeling of a quasi-zero static stiffness mount fabricated with TPU materials using fractional derivative model

Cited by 20 publications

References 39 publications

Tunable integrated quasi-zero-stiffness metamaterials for ultra-low-frequency vibration isolation

Tunable integrated quasi-zero-stiffness metamaterials for ultra-low-frequency vibration isolation

Scott Blair Fractional-Type Viscoelastic Behavior of Thermoplastic Polyurethane

Design of a Dual-arched Structure for Low-frequency Vibration Isolation with Enhanced Quasi-Zero-Stiffness Characteristics

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