• Title/Summary/Keyword: complex modulus

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Estimation of spatial autocorrelation variations of uncertain geotechnical properties for the frozen ground

  • Wang, Di;Wang, Tao;Xu, Daqing;Zhou, Guoqing
    • Geomechanics and Engineering
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    • v.22 no.4
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    • pp.339-348
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    • 2020
  • The uncertain geotechnical properties of frozen soil are important evidence for the design, operation and maintenance of the frozen ground. The complex geological, environmental and physical effects can lead to the spatial variations of the frozen soil, and the uncertain mechanical properties are the key factors for the uncertain analysis of frozen soil engineering. In this study, the elastic modulus, strength and Poisson ratio of warm frozen soil were measured, and the statistical characteristics under different temperature conditions are obtained. The autocorrelation distance (ACD) and autocorrelation function (ACF) of uncertain mechanical properties are estimated by random field (RF) method. The results show that the mean elastic modulus and mean strength decrease with the increase of temperature while the mean Poisson ratio increases with the increase of temperature. The average values of the ACD for the elastic modulus, strength and Poisson ratio are 0.64m, 0.53m and 0.48m, respectively. The standard deviation of the ACD for the elastic modulus, strength and Poisson ratio are 0.03m, 0.07m and 0.03m, respectively. The ACFs of elastic modulus, strength and Poisson ratio decrease with the increase of ratio of local average distance and scale of fluctuation. The ACF of uncertain mechanical properties is different when the temperature is different. This study can improve our understanding of the spatial autocorrelation variations of uncertain geotechnical properties and provide a basis and reference for the uncertain settlement analysis of frozen soil foundation.

Complex modes in damped sandwich beams using beam and elasticity theories

  • Ahmad, Naveed;Kapania, Rakesh K.
    • Advances in aircraft and spacecraft science
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    • v.2 no.1
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    • pp.57-76
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    • 2015
  • We investigated complex damped modes in beams in the presence of a viscoelastic layer sandwiched between two elastic layers. The problem was solved using two approaches, (1) Rayleigh beam theory and analyzed using the Ritz method, and (2) by using 2D plane stress elasticity based finite-element method. The damping in the layers was modeled using the complex modulus. Simply-supported, cantilever, and viscously supported boundary conditions were considered in this study. Simple trigonometric functions were used as admissible functions in the Ritz method. The key idea behind sandwich structure is to increase damping in a beam as affected by the presence of a highly-damped core layer vibrating mainly in shear. Different assumptions are utilized in the literature, to model shear deformation in the core layer. In this manuscript, we used FEM without any kinematic assumptions for the transverse shear in both the core and elastic layers. Moreover, numerical examples were studied, where the base and constraining layers were also damped. The loss factor was calculated by modal strain energy method, and by solving a complex eigenvalue problem. The efficiency of the modal strain energy method was tested for different loss factors in the core layer. Complex mode shapes of the beam were also examined in the study, and a comparison was made between viscoelastically and viscously damped structures. The numerical results were compared with those available in the literature, and the results were found to be satisfactory.

Development of A Simple Design Monograph for Track Sublayers (궤도 하부구조설계를 위한 간이 설계 모노그래프 개념 개발)

  • Park, Mi-Yun;Lee, Jin-Ug;Lee, Seong-Hyeok;Park, Jae-Hak;Lim, Yu-Jin
    • Proceedings of the KSR Conference
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    • 2011.10a
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    • pp.428-435
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    • 2011
  • In general, thickness of the sublayers under track is designed based on concept of vertical soil reaction value or vertical stiffness. However, this design method cannot take consideration into soil-track interaction under repetitive load, traffic condition and velocity of the train. Furthermore, the reinforced roadbed soils experience complex behavior that cannot be explained by conventional stress-strain relation expressed as soil reaction value k. The reinforced roadbed soils also can produce cumulative permanent deformation under repetitive load caused by train. Therefore new design method for the sublayers under track must be developed that can consider both elastic modulus and permanent deformation. In this study, a new design concept, a rule-of-thumb, is proposed as the form of design monograph that is developed using elastic multi-layer and finite element programs by analyzing stress and deformation in the sublayers with changing the thickness and elastic modulus of the sublayers and also using data obtained from repetitive triaxial test. This new design concept can be applied to design of the reinforced roadbed before developing full version of design methodology that can consider MGT, axial load and the material properties of the layers. The new design monograph allows the user to design the thickness of the reinforced roadbed based on permanent deformation, elastic modulus and MGT.

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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.

Material Characterization of MR Fluids at High Frequencies (고주파 영역에서의 MR 유체 특성연구)

  • Park, Kyoung-Mi;Kim, Jae-Hwan;Choi, Seung-Bok;Kim, Kyung-Su
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.210-215
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    • 2002
  • MR(Magnetorheogical) fluid composed of fine iron powders dispersed in silicon oil is utilized to many smart structures and devices because of its significant rheological property change by the application of an external magnetic field. When we deal with the shock wave attenuation of warship structures, we should be able to characterize the high frequency behavior of MR fluids. So far, however, many efforts have been focused on the material characterization of MR fluids at low frequencies below 100Hz. In this paper, the MR fluid property characterization at high frequency region is performed. An experimental setup based on wave transmission technique is made and the storage modulus as well as the loss modulus of MR fluids are found from the measured data of speed sound and attenuation. Details of the experiment are addressed and the obtained storage and loss moduli are addressed at $50kHz{\sim}100kHz$.

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Effect of Guar Gum on Rheological Properties of Acorn Flour Dispersions

  • Yoo, Byoung-Seung;Shon, Kwang-Joon;Chang, Young-Sang
    • Food Science and Biotechnology
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    • v.14 no.2
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    • pp.233-237
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    • 2005
  • Rheological properties of acorn flour-guar gum mixtures (4% w/w) at different guar gum concentrations (0, 0.2, 0.4, 0.6, and 0.8% w/w) were evaluated in steady and dynamic shear. The acorn flour-guar gum mixtures at $25^{\circ}C$ showed high shear-thinning flow behavior (n= 0.20-0.27). Consistency index (K), apparent viscosity (${\eta}_{a,100}$), and Casson yield stress (${\sigma}_{oc}$) increased with the increase in guar gum concentration. Within the temperature range of $25-70^{\circ}C$, the {\eta}_{a,100}$ of mixtures obeyed the Arrhenius relationship with high determination coefficient ($R^2=\;0.974-0.994$). Activation energy values (5.37-6.77 kJ/mole) of acorn flour dispersions in the mixtures with guar gum (0.2-0.8%) were much lower than that (12.5 kJ/mole) of acorn flour dispersion (0% guar gum). Storage modulus (G'), loss modulus (G"), and complex viscosity (${\eta}^*$) increased with the increase in guar gum concentration. Dynamic rheological data of 1n (G', G") versus ln frequency (w) of guar gum-acorn flour mixtures had positive slopes with G' greater than G" over most of the frequency range, indicating that they exhibited weak gel-like behavior.

Vertical and torsional soil reactions for radially inhomogeneous soil layer

  • El Naggar, M. Hesham
    • Structural Engineering and Mechanics
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    • v.10 no.4
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    • pp.299-312
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    • 2000
  • The response of an embedded body to dynamic loads is greatly influenced by the reactions of the soil to the motion of the body. The properties of the soil surrounding embedded bodies (e.g., piles) may be different than those of the far-field for a variety of reasons. It may be weakened or strengthened according to the method of installation of piles, or altered due to applying one of the soil strengthening technique (e.g., electrokinetic treatment of soil, El Naggar et al. 1998). In all these cases, the shear strength of the soils and its shear modulus vary gradually in the radial direction, resulting in a radially inhomogeneous soil layer. This paper describes an analysis to compute vertical and torsional dynamic soil reactions of a radially inhomogeneous soil layer with a circular hole. These soil reactions could then be used to model the soil resistance in the analysis of the pile vibration under dynamic loads. The soil layer is considered to have a piecewise, radial variation for the complex shear modulus. The model is developed for soil layers improved using the electrokinetic technique but can be used for other situations where the soil properties vary gradually in the radial direction (strengthened or weakened). The soil reactions (impedance functions) are evaluated over a wide range of parameters and compared with those obtained from other solutions. A parametric study was performed to examine the effect of different soil improvement parameters on vertical and torsional impedance functions of the soil. The effect of the increase in the shear modulus and the width of the improved zone is investigated.

Lattice-spring-based synthetic rock mass model calibration using response surface methodology

  • Mariam, Al-E'Bayat;Taghi, Sherizadeh;Dogukan, Guner;Mostafa, Asadizadeh
    • Geomechanics and Engineering
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    • v.31 no.5
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    • pp.529-543
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    • 2022
  • The lattice-spring-based synthetic rock mass model (LS-SRM) technique has been extensively employed in large open-pit mining and underground projects in the last decade. Since the LS-SRM requires a complex and time-consuming calibration process, a robust approach was developed using the Response Surface Methodology (RSM) to optimize the calibration procedure. For this purpose, numerical models were designed using the Box-Behnken Design technique, and numerical simulations were performed under uniaxial and triaxial stress states. The model input parameters represented the models' micro-mechanical (lattice) properties and the macro-scale properties, including uniaxial compressive strength (UCS), elastic modulus, cohesion, and friction angle constitute the output parameters of the model. The results from RSM models indicate that the lattice UCS and lattice friction angle are the most influential parameters on the macro-scale UCS of the specimen. Moreover, lattice UCS and elastic modulus mainly control macro-scale cohesion. Lattice friction angle (flat joint fiction angle) and lattice elastic modulus affect the macro-scale friction angle. Model validation was performed using physical laboratory experiment results, ranging from weak to hard rock. The results indicated that the RSM model could be employed to calibrate LS-SRM numerical models without a trial-and-error process.

Complex Infinite Impulse Response Filter Equalization for Digital Vestigial Side Band Signals

  • Chung Won-Zoo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.9C
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    • pp.876-881
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    • 2006
  • In this paper, we propose a complex-valued IIR filter for digital VSB signals based on CMA in order to efficiently mitigate multipath distortions, especially the leakage from the quadrature component. The proposed equalizer overcomes the drawback of the conventional real-valued IIR equalizers that it attempts to equalize Hilbert transform of quadrature component. We demonstrate via simulation that the proposed complex IIR filter successfully mitigates the leakages from the quadrature component, while the conventional real IIR filter requires a longer IIR filter to achieve the same performance. We present cost function analysis for a simple two-tap case showing that the proposed IIR equalizer with CMA for VSB signals has a global minimum at the desired location.

SOME REMARKS FOR λ-SPIRALLIKE FUNCTION OF COMPLEX ORDER AT THE BOUNDARY OF THE UNIT DISC

  • Akyel, Tugba
    • Communications of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.743-757
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    • 2021
  • We consider a different version of Schwarz Lemma for λ-spirallike function of complex order at the boundary of the unit disc D. We estimate the modulus of the angular derivative of the function $\frac{zf^{\prime}(z)}{f(z)}$ from below for λ-spirallike function f(z) of complex order at the boundary of the unit disc D by taking into account the zeros of the function f(z)-z which are different from zero. We also estimate the same function with the second derivatives of the function f at the points z = 0 and z = z0 ≠ 0. We show the sharpness of these estimates and present examples.