• Title/Summary/Keyword: Differential Transform Method

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Axisymmetric Finite Element Analysis of Decomposing Polymeric Composites and Structures (열경화성 고분자 복합재 구조물의 축대칭 유한요소해석)

  • Lee, Seon-Pyo
    • 연구논문집
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    • s.24
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    • pp.81-96
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    • 1994
  • To investigate failure mechanisms observed in carbon-phenolic thermal insulators, differential equations which govern the decomposition process in a deformable anisotropic porous solid are derived for three-dimensional axisymmetric constructions. The governing equations not only couple the material deformation with pore pressure, but also couple pressure and temperature, which means that heat convected by the pyrolysis gases is properly accounted for. Then the Bubnov-Galerkin finite element method is applied to these equations to transform them into a semidescrete finite element system. A thermal insulation liner in the cowl region under typical operating conditions is analyzed to find a mechanism for plylift. The results from the structural analysis show across-ply failure in the cowl zone. The mechanism for plylift is hypothesized as a sequential procedure : 1) the across-ply failure which is the precursor to plylift and 2) the local fiber buckling caused by generation of excessive in-plane compressive stress. To prevent plylift, the across-ply stress can be reduced by using appropriate material ply angles in cowl zone design.

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PEGylation of Silk Fibroin Model Peptide

  • Kweon, Hae-Yong;Jo, You-Young;Yeo, Joo-Hong;Woo, Soon-Ok;Han, Sang-Mi;Lee, Kwang-Gill
    • International Journal of Industrial Entomology and Biomaterials
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    • v.20 no.2
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    • pp.87-91
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    • 2010
  • Silk fibroin model peptide, alanine pentamer was synthesized through solid-phase method and modified with poly(ethylene glycol). Nuclear magnetic resonance spectrometry and Fourier-transform infrared spectroscopy showed the conformation of alanine pentamer, $\beta$-sheet structure and random coil conformation were not changed with PEGylation. Differential scanning calorimetry showed that relatively strong exothermic peak around $180^{\circ}C$ by PEGylation. No cytotoxicity of PEGylated pentamer was observed by L929 cell proliferation test.

Characterization of Zirconium Sulfate Supported on Zirconia and Activity for Acid Catalysis

  • Son, Jong Rak;Gwon, Tae Dong;Kim, Sang Bok
    • Bulletin of the Korean Chemical Society
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    • v.22 no.12
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    • pp.1309-1315
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    • 2001
  • Zirconium sulfate supported on zirconia catalysts were prepared by impregnation of powdered $Zr(OH)_4$ with zirconium sulfate aqueous solution followed by calcining in air at high temperature. The characterization of prepared catalysts was performed using Fourier transform infrared (FTIR), X-ray diffraction (XRD), differential scanning calorimetry (DSC), and by the measurement of surface area. The addition of zirconium sulfate to zirconia increased the phase transition temperature of $ZrO_2$ from amorphous to tetragonal due to the interaction between zirconium sulfate and zirconia, and the specific surface area and acidity of catalysts increased in proportion to the zirconium sulfate content up to 10 wt% of $Zr(SO_4)_2$. Infrared spectra of ammonia adsorbed on $Zr(SO_4)2}ZrO_2$ showed the presence of Bronsted and Lewis acid sites on the surface. $10-Zr(SO_4)_2}ZrO_2$ calcined at $600^{\circ}C$ exhibited maximum catalytic activities for 2-propanol dehydration and cumene dealkylation. The catalytic activities for both reactions were correlated with the acidity of catalysts measured by ammonia chemisorption method.

Preparation and Characterization of Sol-Gel Derived $SiO_2-TiO_2$ -PDMS Composite Films

  • Hwang, Jin Myeong;Yeo, Chang Seon;Kim, Yu Hang
    • Bulletin of the Korean Chemical Society
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    • v.22 no.12
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    • pp.1366-1370
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    • 2001
  • Thin films of the SiO2-TiO2-PDMS composite material have been prepared by the sol-gel dip coating method. Acid catalyzed solutions of tetraethoxy silane (TEOS) and polydimethyl siloxane (PDMS) mixed with titanium isopropoxide Ti(OiPr) were used as precursors. The optical and structural properties of the organically modified 70SiO2-30TiO2 composite films have been investigated with Fourier Transform Infrared Spectroscopy (FT-IR), UV-Visible Spectroscopy (UV-Vis), Differential Thermal Analysis (DTA) and prism coupling technique. The films coated on the soda-lime-silicate glass exhibit 450-750 nm thickness, 1.56-1.68 refractive index and 88-94% transmittance depending on the experimental parameters such as amount of PDMS, thermal treatment and heating rate. The optical loss of prepared composite film was measured to be about 0.34 dB/cm.

ANALYTIC SOLUTION OF HIGH ORDER FRACTIONAL BOUNDARY VALUE PROBLEMS

  • Muner M. Abou Hasan;Soliman A. Alkhatib
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.601-612
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    • 2023
  • The existence of solution of the fractional order differential equations is very important mathematical field. Thus, in this work, we discuss, under some hypothesis, the existence of a positive solution for the nonlinear fourth order fractional boundary value problem which includes the p-Laplacian transform. The proposed method in the article is based on the fixed point theorem. More precisely, Krasnosilsky's theorem on a fixed point and some properties of the Green's function were used to study the existence of a solution for fourth order fractional boundary value problem. The main theoretical result of the paper is explained by example.

Histogram Equalization based on Differential Compression for Image Contrast Enhancement (영상의 명암대비 향상을 위한 차별적 압축 방법 기반의 히스토그램 평활화)

  • Lee, Jae-Won;Hong, Sung-Hoon
    • Journal of Broadcast Engineering
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    • v.19 no.1
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    • pp.96-108
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    • 2014
  • In case of contrast of the image enhancement by using the conventional histogram equalization, over-enhancement, false contouring and distortion such as the details disappearance of the image occurs due to the excessive brightness change. Especially, these distortion appears when the brightness distribution is concentrated in a particular brightness level. In order to solve these problems, improved histogram equalization methods to transform the input histogram by clipping using threshold have been proposed, but contrast enhancement effect is reduced because it does not consider the characteristics of the input image's histogram to apply the same threshold for the entire histogram, and unnatural image is obtained because it does not retain the characteristics of the image. In this paper, to solve the problems of existing methods, we propose new equalization method that suppress excessive brightness changes by applying to the differential compression according to the histogram frequency, and maintain the characteristics of the input image. In addition, we propose a more effectively method to improve contrast by controlling the strength of the compression ratio depending on the characteristics of the input image.

Changes in Magnetic Properties When Manufacturing Cobalt-substituted Barium Ferrite Powder (Cobalt가 치환된 Barium Ferrite 분말 제조 시 자기적 특성변화)

  • Um, Myeong-Heon;Yeon, Je-Uk;Lee, Cha-Jin;Ha, Beom-Yong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.10
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    • pp.30-39
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    • 2020
  • Single-phase barium ferrite powder was synthesized using the sol-gel method. At this time, an attempt was made to find the optimal experimental conditions for the production of single-phase barium ferrite by varying the Fe to Ba molar ratio (Fe/Ba) and the heat treatment temperature. In addition, cobalt-substituted barium ferrite particles were prepared using cobalt, which has an excellent effect on coercivity control for the production of ferrite fine particles having a coercivity of 2.5 to 5.5 kOe for use in high-density magnetic recording media. The changes in the magnetic properties of these were investigated. X-ray diffraction (XRD), thermogravimetric-differential thermal analysis (TG-DTA), and field emission scanning electron microscopy (FE-SEM) were used to observe the synthesis of single-phase, and Fourier transform infrared spectroscopy (FT-IR) and energy dispersive X-ray spectrometry (EDS) were used to analyze the chemical structure and composition. The coercivity of the cobalt-substituted barium ferrite powder was measured by vibrating sample magnetometry (VSM). As a result, single-phase Barium ferrites were synthesized when the Fe/Ba molar ratio was 10, and the heat treatment temperature was 900 ℃. The coercivity decreased with increasing the amount of Co added. Barium ferrite, having a coercivity of 2.5 to 5.5 kOe for use in high-density magnetic recording media, was synthesized when the Co to Fe(Co/Fe) molar ratio was less than 0.16.

The manufacture of poly(vinylidene fluoride) thin film through vapor deposition method (진공증착법을 이용한 PVDF 박막의 제작)

  • Park, S.H.;Im, U.C.;Han, S.O.;Jin, G.S.;Chung, H.D.;Park, K.S.;Lee, D.C.
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1190-1192
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    • 1995
  • Poly(vinylidene fluoride)(PVDF) is one of the most studied polymers in the latest date. The interest in PVDF lies in its remarkable piezoelectric and pyroelectric properties. Also, PVDF has at least four known crystalline structures(; they are referred to as the ${\alpha},\;{\beta},\;{\gamma}\;and\;{\alpha}_p$ phase or forms II, I, III and $IV_p$). In this study, the manufactured PVDF thin film through vapor deposition method had form II(; the glass at $70^{\circ}C$). This thin film was investigated by x-ray diffraction(XRD), Fourier Transform Infrared(FT-IR) spectroscopy and Differential Thermal Analysis(DTA). XRD and FT-IR indicate crystallization forms from the glass at $70^{\circ}C$ into form II.

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Synthesis and luminescence properties of lanthanum oxides/hydroxides nanorod bundles

  • Hussain, Sk. Khaja;Raju, G. Seeta Rama;Yu, Jae Su
    • Proceedings of the Korean Vacuum Society Conference
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    • 2015.08a
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    • pp.171.2-171.2
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    • 2015
  • Nowadays, trivalent rare-earth ($RE^{3+}$) ions activated metal oxides have been proved to be excellent host materials due to their various applications. Facile wet-chemical technique have been considered as the best synthetic route due its intensive interest in the preparation of nanostructures. Europium ion doped lanthanum hydroxide ($La(OH)_3:Eu^{3+}$) phosphors were synthesized by the facile wet chemical method using the hexamethylenetetramine (HMTA) as a mediated surfactant. The thermal behavior for the $La(OH)_3:Eu^{3+}$ phosphors was investigated by thermogravimetric and differential thermal analysis method. The morphological studies were measured by scanning electron microscope and transmission electron microscope measurements, indicating three-dimensional (3D) flower-like $La(OH)_3:Eu^{3+}$ nanorod bundles. After subsequent annealing process, the lanthanum oxide ($La_2O_3:Eu^{3+}$) phosphor exhibited similar kind of morphology. The synthesized $La(OH)_3:Eu^{3+}$ and $La_2O_3:Eu^{3+}$ samples were characterized by X-ray powder diffraction and Fourier transform infrared spectroscopy. Furthermore, photoluminescence and cathodoluminescence properties were studied in details.

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Preparation and Characterization of Solid Dispersion of Ipriflavone with Polyvinylpyrrolidone

  • Jeong, Je-Kyo;Kim, Jung-Hoon;Khang, Gil-Son;Rhee, John M.;Lee, Hai-Bang
    • Journal of Pharmaceutical Investigation
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    • v.32 no.3
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    • pp.173-179
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    • 2002
  • Solid dispersions of ipriflavone with PVP were prepared by a spray-drying method in order to improve the bioavailability. They were measured with scanning electron microscopy, differential scanning calorimetry, x-ray powder diffraction, and Fourier transform infrared spectroscopy to evaluate the physicochemical interaction between ipriflavone and PVP and study the correlation between these physicochemical characteristics and bioavailability. Ipriflavone exhibited crystallinity, whereas PVP was almost amorphous. The area of the endotherm $({\Delta}H)$ of freezer milled ipriflavone, freezer milled ipriflavone physically mixed with freezer milled PVP, and physically mixed ipriflavone with PVP was almost the same, whereas ${\Delta}H$ of the solid dispersed ipriflavone with PVP was much smaller than that of the other preparation types. Also, the crystallinity and the crystal size of ipriflavone in the solid dispersed ipriflavone with PVP were much smaller than those of the other preparation types. From the in vivo test, the AUC of the solid dispersed ipriflavone with PVP was approximately 10 times higher than that of the physically mixed ipriflavone with PVP. The solid dispersion using the spray-drying method with a water-soluble polymer, PVP, may be effective for the improvement of the bioavailability.