• Title/Summary/Keyword: zero-order solution

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Stress and Displacement fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along X Direction (X방향을 따라 물성구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Cho Sang-Bong;Lee Kwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.3 s.246
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    • pp.249-259
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    • 2006
  • Stress and displacement fields of a propagating Mode III crack in an orthotropic functionally gradient material (OFGM), which has (1) linear variation of shear modulus with a constant density, and (2) an exponential variation of shear modulus and density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields fer a propagating crack at constant speed though an asymptotic analysis. The stress terms associated with $\gamma^{-1/2}\;and\;\gamma^{0}$ are not affected by the FGM constant $\zeta$ which is nonhomogeneous parameter, only on the higher order terms, the influences of nonhomogeneity on the stress are explicitly brought out. When the FGM constant $\zeta\;is\;zero\;or\;\gamma{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

Solution of the TE Scattering by a Resistive Strip Grating Over Grounded Dielectric Plane with Edge Boundary Condition (모서리 경계조건을 만족하는 접지된 유전체평면위의 저항띠 격자구조에 의한 TE 산란의 해)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.11 no.2
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    • pp.196-202
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    • 2007
  • In this paper, The TE(transverse electric) scattering problems by a resistive strip grating over a grounded dielectric plane with edge boundary condition are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) known as a numerical procedure. For a TE scattering problem, the induced surface current density is expected to the zero value at both edges of the resistive strip, then the induced surface current density on the resistive strip is expanded in a series of the multiplication of Gegenbauer(Ultraspherical) polynomials with the first order and functions of appropriate edge boundary condition. To verify the validity of the proposed method, the numerical results of normalized reflected power for the uniform resistivity R = 100 ohms/square and R = 0 as a conductive strip case show in good agreement with those in the existing papers.

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An Optimized PI Controller Design for Three Phase PFC Converters Based on Multi-Objective Chaotic Particle Swarm Optimization

  • Guo, Xin;Ren, Hai-Peng;Liu, Ding
    • Journal of Power Electronics
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    • v.16 no.2
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    • pp.610-620
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    • 2016
  • The compound active clamp zero voltage soft switching (CACZVS) three-phase power factor correction (PFC) converter has many advantages, such as high efficiency, high power factor, bi-directional energy flow, and soft switching of all the switches. Triple closed-loop PI controllers are used for the three-phase power factor correction converter. The control objectives of the converter include a fast transient response, high accuracy, and unity power factor. There are six parameters of the controllers that need to be tuned in order to obtain multi-objective optimization. However, six of the parameters are mutually dependent for the objectives. This is beyond the scope of the traditional experience based PI parameters tuning method. In this paper, an improved chaotic particle swarm optimization (CPSO) method has been proposed to optimize the controller parameters. In the proposed method, multi-dimensional chaotic sequences generated by spatiotemporal chaos map are used as initial particles to get a better initial distribution and to avoid local minimums. Pareto optimal solutions are also used to avoid the weight selection difficulty of the multi-objectives. Simulation and experiment results show the effectiveness and superiority of the proposed method.

Release of Nifedipine from Poly(ethylene oxide) Tablets (폴리에칠렌 옥사이드 정제로부터 니페디핀의 방출양상)

  • Hong, Sung-In;Hur, Young-Lim;Oh, Seaung-Youl
    • Journal of Pharmaceutical Investigation
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    • v.30 no.3
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    • pp.207-211
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    • 2000
  • The objective of this work is to investigate the effect of molecular weight of poly(ethylene oxide) (PEO) and release medium on the release of nifedipine (NP) from PEO tablets containing NP and to get some mechanistic insights into the release of NP. The tablets containing NP were prepared by direct compression, using a flat-faced punch and die. The molecular weights of PEOs used were 200K, 900K, 2000K and 7,000K. The release kinetics were studied for 24 hours in aqueous ethanol solution, using a dissolution tester at $36.5^{\circ}C$ and 100 rpm. Drug release rate increased, as the concentration of ethanol in the dissolution medium increased, due to the increased solubility of NP. As the molecular weight of PEO increased, release rate decreased, due to the slower swelling and dissolution of PEO. The power values obtained by fitting data to the power law expression $(M_t/M_{\infty}=kt^n)$ indicated that, at low ethanol concentration, the release of NP is governed by anomalous diffusion. However, as the ethanol concentration increases, diffusional release becomes to prevail over anomalous or zero-order release. Overall, these results provided some insights into the release of NP from PEO tablet.

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A novel refined shear deformation theory for the buckling analysis of thick isotropic plates

  • Fellah, M.;Draiche, Kada;Houar, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Saeed, Tareq;Alhodaly, Mohammed Sh.;Benguediab, Mohamed
    • Structural Engineering and Mechanics
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    • v.69 no.3
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    • pp.335-345
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    • 2019
  • In present study, a novel refined hyperbolic shear deformation theory is proposed for the buckling analysis of thick isotropic plates. The new displacement field is constructed with only two unknowns, as against three or more in other higher order shear deformation theories. However, the hyperbolic sine function is assigned according to the shearing stress distribution across the plate thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using any shear correction factors. The equations of motion associated with the present theory are obtained using the principle of virtual work. The analytical solution of the buckling of simply supported plates subjected to uniaxial and biaxial loading conditions was obtained using the Navier method. The critical buckling load results for thick isotropic square plates are compared with various available results in the literature given by other theories. From the present analysis, it can be concluded that the proposed theory is accurate and efficient in predicting the buckling response of isotropic plates.

Nonlinear bending and post-buckling behaviors of FG small-scaled plates based on modified strain gradient theory using Ritz technique

  • Ghannadpour, S. Amir M.;Khajeh, Selma
    • Advances in nano research
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    • v.13 no.4
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    • pp.393-406
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    • 2022
  • In the present article, functionally graded small-scaled plates based on modified strain gradient theory (MSGT) are studied for analyzing the nonlinear bending and post-buckling responses. Von-Karman's assumptions are applied to incorporate geometric nonlinearity and the first-order shear deformation theory is used to model the plates. Modified strain gradient theory includes three length scale parameters and is reduced to the modified couple stress theory (MCST) and the classical theory (CT) if two or all three length scale parameters become zero, respectively. The Ritz method with Legendre polynomials are used to approximate the unknown displacement fields. The solution is found by the minimization of the total potential energy and the well-known Newton-Raphson technique is used to solve the nonlinear system of equations. In addition, numerical results for the functionally graded small-scaled plates are obtained and the effects of different boundary conditions, material gradient index, thickness to length scale parameter and length to thickness ratio of the plates on nonlinear bending and post-buckling responses are investigated and discussed.

A Study on Oxidative Degradation of Chlorophenols by Heat Activated Persulfate (열적활성화된 과황산에 의한 염화페놀의 산화분해특성 연구)

  • Son, JiMin;Kwon, Hee-Won;Hwang, Inseong;Kim, Jeong-Jin;Kim, Young-Hun
    • Journal of Environmental Science International
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    • v.29 no.1
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    • pp.69-77
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    • 2020
  • Oxidative degradation of phenol, three monochlorophenols (2-chlorophenol, 2-CP; 3-chlorophenol, 3-CP; 4-chlorophenol, 4-CP), four dichlorophenols (2,3-dichlorophenol, 2,3-DCP; 2,4-dichlorophenol, 2,4-DCP; 2,5-dichlorophenol, 2,5-DCP; 2,6-dichlorophenol, 2,6-DCP), and two trichlorophenols (2,4,5-trichlorophenol, 2,4,5-TCP; 2,4,6-trichlorophenol, 2,4,6-TCP) was conducted with heat activated persulfate. As the number of chlorinations increased, the reaction rate also increased. The reaction rate was relatively well fitted to the zero-order kinetic model, rather than the pseudo-first order kinetic model for the reactions at 60 ℃, which can be explained by insufficient activation of the persulfate at 60 ℃, and the oxidation reaction of 2,4,6-TCP at 70 ℃ was relatively well fitted to the pseudo-first order kinetic model. The oxidation reaction rate generally increased with increase of persulfate concentration in the solution. 2,6-dichloro-2,5-cyclohexadiene-1,4-dione was found as a degradation product in a GC/MS analysis. This compound is a non-aromatic compound, and one chlorine was removed. This result is similar to the result of previous studies. The current study proved that heat activated persulfate activation could be an alternative remediation technology for phenol and chlorophenols in soil and groundwater.

Drug Release Characteristics and Skin Irritancies of Topical Gels and Multiple Emulsion Creams Containing Kojic Acid (외용겔 및 다중유제크림의 코지산 방출특성과 피부자극성)

  • Yu, Sung-Un;Park, Eun-Woo;Choi, Young-Wook
    • Journal of Pharmaceutical Investigation
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    • v.28 no.2
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    • pp.87-92
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    • 1998
  • Kojic acid (KA) is an antimelanogenic agent which has been widely used in cosmetics to whiten the skin color. However, it has the drawbacks of the skin irritancy and the instability against the pH, temperature, and light. In order to overcome these problems, various topical gels and multiple emulsion creams which can control the release of active ingredient, KA, were formulated employing cream bases of mineral oil with caprylic capric triglyceride and hydrophilic polymers such as chitosan, carbopol. and pluronics. Using Franz diffusion cells mounted with a synthetic cellulose membrane (MWCO 12,000), drug release characteristics of the formulations were evaluated by the HPLC assay of KA concentration in the receptor compartment of pH 7.4 phosphate buffered saline solution. Drug release from chitosan-based gels (ChitoGel) obeyed to the first order kinetics with a rapid release especially in the initial period. However, pluronic-based gels (PluGel) and carbopol-based gels (CarboGel) revealed controlled release of drug to some extent, followed by the square root-time kinetics. Moreover, the release of KA was further controlled with the W/O/W multiple emulsion creams (MultiCream), showing the apparent zero order release kinetics by virtue of dynamic ratecontrolling membrane of the oil layer. The flux $(J,\;{\mu}g/cm^2/hr)$ of ChitoGel. CarboGel. PluGel. and MultiCream in the initial period of 6hr were 73.30, 28.67. 24.04 and 7.72, respectively. On the other hand, the skin irritancy score of ChitoGel and MultiCream were observed as 2.5 and 2.3 respectively, in the rabbit skin irritation test. Although there were insignificant differences at p<0.05 between those formulations, it was possible to conclude that the W/O/W multiple emulsion creams containing KA might be a good candidate for an antimelanogenic drug delivery system due to the controlled release of acidic drug molecules.

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Follower Effect of the Axisymmetric Shells under External Pressure (축대칭 쉘 구조물에 작용하는 외압의 부가효과)

  • Hwang, Chul-Sung
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.1
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    • pp.195-202
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    • 2004
  • The shell due to the effect of initial normal pressures on the shell surface was based on the assumption that the directions of the pressures are always normal to the undeformed shell surface, and that the change in the surface area of the shell is negligible. But the fact that the pressure are always normal to the deforming surface leads "follower force". The follower effect in the analysis can significantly alter the solution for natural frequency and buckling load as compared to the case when the direction of the pressures are assumed to be normal to the uniform shell surface. The expression for the part of strain energy contribution from normal pressure due to the effect of follower force was derived and added to the element stiffness matrix of axisymmetric shell. In the case of increasing external pressure, the natural frequencies decrease until one of them reaches zero. Theoretically the smallest applied load that reduces the frequency of any mode to zero, will have same magnitude as that of the buckling load. In order to determine the bucking load of the shell a few sets of frequencies are computed and the results considering the follower effects are well with the exact solution while the case without that are quite different. But in case of hemispherical dome, there are little difference in buckling pressure between with and without the effect of follower force.

Studies on the Stability of Multivitamin Solutions (종합비타민 액제의 안정성에 대한 연구)

  • Park, Hong-Koo
    • Applied Biological Chemistry
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    • v.43 no.1
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    • pp.39-45
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    • 2000
  • The stability of vitamin A, $B_1,\;B_2,\;B_6$, C in aqueous multivitamin solutions was carried out by means of estimation of reaction velocity and the results are described in this paper. The stability of vitamin A, $B_1$ and C due to thermal degradation method in aqueous multivitamin solutions was evaluated at 40, 50, 60 and $70^{\circ}C$ up to 40 days. The shelf-lives of vitamin A, B₁ and C in this preparation, calculated using the Arrhenius equation, were 1493, 449 and 639 days at $25^{\circ}C$ respectively. Examination was made on the effect of initial concentration of vitamin $B_2$$(C_0)$ on light fading of vitamin $B_2$ in aqueous multivitamin solutions and it was found that the fading progressed according to the following formula : $-{\frac {dc}{dt}}=K_c\;{\frac C{C_0}}$ where Kc is apparent light-fading rate constant relate to $C_0$. Photodecomposition of vitamin $B_6$ in aqueous multivitamin solutions was apparently first order kinetics and was stable in polyethylene>brown color>glass container to sunlight. Photodecomposition of vitamin $B_6$ in four seasons also investigated.

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