• Title/Summary/Keyword: storage and loss moduli

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Experimental Determination of Complex Moduli and Internal Damping of Laminated Composites (적층 복합재료의 내부감쇠와 복소탄성계수 측정에 관한 연구)

  • Lee, Jae-Hyeok;Park, Se-Man;Kim, Hyeong-Sam
    • Korean Journal of Materials Research
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    • v.8 no.10
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    • pp.905-911
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    • 1998
  • Damping is a property for materials and systems to dissipate energy during periodic deformations. Generally, damping causes stiff decrease in amplitudes and shifts in phases. Also, even at resonance, amplitudes are substantially attenuated. This phenomenon of damping helps in reducing stresses developed during vibrations and consequently improves fatigue lives of materials. In this work internal damping and complex moduli are experimentally determined. An impulse technique is utilized in experiments and cantilever beams are selected as test subjects for the measurements of flextural vibrations since the beams lend themselves easily as simplistic ideal models. A resonance method is employed to determine resonance frequencies which are utilized to compute storage moduli. Also, loss moduli are evaluated from damping capacities and storage moduli. The storage and loss moduli combined yield complex moduli. Finally internal damping is evaluated from bandwidth technique, the real component of the transfer function.

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Variability Analysis of Dynamic Characteristics in Rubber Engine Mounts Considering Temperature Variation (온도변화를 고려한 고무엔진마운트의 동특성 변동성 해석)

  • Hwang, In Seong;Ahn, Tae Soo;Lee, Dooho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.6
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    • pp.553-562
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    • 2013
  • Vehicle vibrations arise from engine and road surface excitations. The engine mount system of a passenger car sustains the engine weight and insulates the excitation force from the engine system. The dynamic properties of viscoelastic material used for the vehicle engine mounts have large variation due to environmental factors such as environmental temperature and humidity etc. The present study aims to investigate the variability of dynamic characteristics in rubber engine mounts considering both environmental temperature change and material model errors/uncertainty. The engine mounts for a passenger car were modeled using finite element method. Then, the dynamic stiffness variability of the engine mounts were estimated using Monte Carlo simulation method. In order to estimate the variations in the storage and loss moduli of the viscoelastic materials, the material properties of the synthetic rubber were expressed as a fractional-derivative model. Next, in order to simulate the uncertainty propagation of the dynamic stiffness for the engine mounts due to the storage and loss moduli variations, the Monte Carlo simulation was used. The Monte Carlo simulation results showed large variation of the engine-mount stiffness along frequency axis.

Complex Modulus of Rough Rice Kernel under Cyclic Loading (주기적(週期的) 반복하중(反復荷重)을 받는 벼의 복소탄성율(複素彈性率))

  • Kim, M.S.;Park, J.M.
    • Journal of Biosystems Engineering
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    • v.16 no.3
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    • pp.263-271
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    • 1991
  • When grains is subjected to oscillating load, the dynamic viscoelastic behavior of the material will be describe the complex modulus of the material. The complex modulus and therefore the storage modulus, the loss modulus, and the phase angle for the sample should be obtainable with a given static viscoelastic property of the material under static load. The complex relaxation moduli of the rough rice kernel were computed from the Burger's model describing creep behavior of the material which were obtained in the previous study. Also, the effects of cyclic load and moisture content of grain on the dynamic viscoelastic behavior of the samples were analized. The storage modulus of the rough rice kernel slightly increased with the frequency applied but at above the frequency of 0.1 Hz it was nearly constant with the frequency, and the loss modulus of the sample very rapidly decreased with increase in the frequency on those frequency ranges. It was shown that the storage modulus and the loss modulus of the sample increased with decrease in grain moisture content. Effect of grain moisture content on the storage modulus of the sample was highly significant than effect of the frequency applied, but effect of the frequency on the loss modulus of the sample was more significant than effect of grain moisture content.

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Dynamic Rheological Comparison of Selected Gum Solutions

  • Choi, Su-Jin;Chu, So-Young;Yoo, Byoung-Seung
    • Food Science and Biotechnology
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    • v.15 no.3
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    • pp.474-477
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    • 2006
  • Dynamic rheological properties of commercial 0.8, 1.0, and 1.2% gums [carboxylmethylcellulose (CMC), guar gum, hydroxypropylmethylcellulose (HPMC), tara gum, and xanthan gum], which can be dissolved in cold water, were investigated by small-deformation oscillatory measurements. Magnitudes of storage (G') and loss (G") moduli increased with increasing concentration of gum solutions except for xanthan gum. Guar gum exhibited greatest G' and G" values among all gums except for G' value at 0.8% concentration. Slopes of G' and G" decreased with increasing concentration of gum solutions except for xanthan gum. Tan ${\delta}$ (G"/G') values decreased with increasing concentration of gum solutions except for xanthan gum. Tan ${\delta}$ values of xanthan gum solutions were much lower than those of other gum solutions, indicating that xanthan gum solutions were predominantly more elastic than viscous.

Dynamic Viscoelastic Properties of Aqueous Poly(Ethylene Oxide) Solutions (폴리에틸렌옥사이드 수용액의 동적 점탄성)

  • Song, Ki-Won;Bae, Jun-Woong;Chang, Gap-Shik;Noh, Dong-Hyun;Park, Yung-Hoon;Lee, Chi-Ho
    • Journal of Pharmaceutical Investigation
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    • v.29 no.4
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    • pp.295-307
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    • 1999
  • Using a Rheometries Fluids Spectrometer (RFS II), the dynamic viscoelastic properties of aqueous poly(ethylene oxide) (PEO) solutions in small amplitude oscillatory shear flow fields have been measured over a wide range of angular frequencies. The angular frequency dependence of the storage and loss moduli at various molecular weights and concentrations was reported in detail, and the result was interpreted using the concept of a Deborah number De. In addition, the experimentally determined critical angular frequency at which the storage and loss moduli become equivalent was compared with the calculated characteristic time (or its inverse value), and their physical significance in analyzing the dynamic viscoelastic behavior was discussed. Finally, the relationship between steady shear flow and dynamic viscoelstic properties was examined by evaluating the applicability of some proposed models that describe the correlations between steady flow viscosity and dynamic viscosity, dynamic fluidity, and complex viscosity. Main results obtained from this study can be summarized as follows: (1) At lower angular frequencies where De<1, the loss modulus is larger than the storage modulus. However, such a relation between the two moduli is reversed at higher angular frequencies where De>l, indicating that the elastic behavior becomes dominant to the viscous behavior at frequency range higher than a critical angular frequency. (2) A critical angular frequency is decreased as an increase in concentration and/or molecular weight. Both the viscous and elastic properties show a stronger dependence on the molecular weight than on the concentration. (3) A characteristic time is increased with increasing concentration and/or molecular weight. The power-law relationship holds between the inverse value of a characteristic time and a critical angular frequency. (4) Among the previously proposed models, the Cox-Merz rule implying the equivalence between the steady flow viscosity and the magnitude of the complex viscosity has the best validity. The Osaki relation can be regarded to some extent as a suitable model. However, the DeWitt, Pao and HusebyBlyler models are not applicable to describe the correlations between steady shear flow and dynamic viscoelastic properties.

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Dynamic Rheological Studies on Mixtures of Hot Pepper-Soybean Paste and Xanthan Gum

  • Choi, Su-Jin;Yoo, Byoung-Seung
    • Food Science and Biotechnology
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    • v.16 no.1
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    • pp.146-149
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    • 2007
  • Dynamic rheological properties of hot pepper-soybean paste (HPSP) mixed with xanthan gum were evaluated at different gum concentrations (0.3, 0.6, and 0.9%) and fermentation times (12 and 24 week). Magnitudes of storage (G') and loss moduli (G") in the HPSP-xanthan gum mixture systems increased with an increase in frequency ($\omega$), while complex viscosity (${\eta}^*$) decreased. G' values were higher than the G" values over most of the frequency range (0.63-63 rad/sec), and were frequency-dependent. The dynamic moduli (G', G", and ${\eta}^*$) of the HPSP-xathan mixtures were lower than those of the control (0% gum). The differences between the dynamic moduli values at 12-week and 24-week fermentation decreased with increasing gum concentration, showing that xanthan gum can be used to stabilize and improve the viscoelastic rheological properties of HPSP. The G' value of the HPSP-xathan mixtures increased with an increase in gum concentration from 0.3 to 0.9%, whereas the G" decreased. The ability of xanthan gum to increase the elastic properties in the HPSP-xanthan mixture systems seemed to be the result of the incompatibility phenomena existing between xanthan gum and glutinous rice starch.

Note on the beginnings of sinusoidal testing methods

  • Tanner, R.I.
    • Korea-Australia Rheology Journal
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    • v.14 no.2
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    • pp.87-90
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    • 2002
  • The measurement of the storage and loss moduli (G' and G" respectively) of materials as functions of frequency is now commonplace and is of wide utility. Yet il is not easy to trace the history of such measurements. and so this article discusses the genesis of this important experimental technique. We find that the technique grew out of a parallel technique for dielectric measurements (ca. 1900) and was developed in the mid-1930s by Philippoff and others. Important breakthroughs due to digital circuitry have occurred only in the last 20 years or so.r so.

Effect of Storage Temperature on Dynamic Rheological Properties of Hot Pepper-Soybean Pastes Mixed with Guar Gum and Xanthan Gum

  • Choi, Su-Jin;Yoo, Byoung-Seung
    • Food Science and Biotechnology
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    • v.16 no.3
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    • pp.496-499
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    • 2007
  • Dynamic rheological properties of hot pepper-soybean paste (HPSP) samples mixed with guar gum and xanthan gum were evaluated at different storage temperatures (5, 15, and $25^{\circ}C$) by using a dynamic rheometer. Magnitudes of storage modulus (G'), loss modulus (G"), and complex viscosity (${\eta}^*$) in the HPSP-gum mixtures increased with an increase in storage temperature from 5 to $25^{\circ}C$. After 3-month storage at 5 and $15^{\circ}C$ there were no significant changes in dynamic rheological properties. The increase in dynamic moduli (G', G", and ${\eta}^*$) with storage temperature is less pronounced at HPSP-xanthan gum mixtures in comparison to HPSP-guar gum mixtures. The slopes of G' (0.16-0.18) of HPSP-guar gum mixtures at 3-month storage were much higher than that (0.10) at 0-month storage, indicating that the elastic properties of the HPSP-guar gum mixtures can be decreased after 3-month storage. However, there were not much differences between the slopes of G' in HPSP-xathan gum mixtures. Xanthan gum was observed to be better structure stabilizer for HPSP during storage.

Extension of Group Interaction Modelling to predict chemorheology of curing thermosets

  • Altmann, Nara;Halley, Peter J.;Nicholson, Timothy M.
    • Korea-Australia Rheology Journal
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    • v.21 no.2
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    • pp.91-102
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    • 2009
  • This paper describes an extension of viscoelastic Group Interaction Modelling (GIM) to predict the relaxation response of linear, branched and cross-linked structures. This model is incorporated into a Monte Carlo percolation grid simulation used to generate the topological structure during the isothermal cure of a gel, so enabling the chemorheological response to be predicted at any point during the cure. The model results are compared to experimental data for an epoxy-amine systems and good agreement is observed. The viscoelastic model predicts the same exponent power-law behaviour of the loss and storage moduli as a function of frequency and predicts the cross-over in the loss tangent at the percolation condition for gelation. The model also predicts the peak in the loss tangent which occurs when the glass transition temperature surpasses the isothermal cure temperature and the system vitrifies.

Viscoelastic Property Evaluation of Asphalt Cement by Ultrasonic Measurement (초음파 측정법에 의한 아스팔트 세멘트의 점탄성 특성 평가)

  • Lee, Jai-Hak
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.5
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    • pp.402-411
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    • 2000
  • This study investigates the method to measure the viscoelastic properties of asphalt cement, one of the viscoelastic materials, using the ultrasound. The wave speed and attenuation were measured from $-20^{\circ}C$ to $60^{\circ}C$ at the frequency of 2.25MHz. Then, the storage and loss longitudinal moduli, loss tangent storage and loss longitudinal compliances were found depending on the temperatures based on the linear viscoelastic theory. Stress relaxation, creep, and viscosity were predicted using Maxwell and Voigt-Kelvin viscoelastic models. The validity of superposition principle and shift factor were verified by comparing the present results to the data reported in the literatures.

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