• Title/Summary/Keyword: analytical expression

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Electrokinetic flow and electroviscous effect in a charged slit-like microfluidic channel with nonlinear Poisson-Boltzmann field

  • Chun, Myung-Suk;Kwak, Hyun-Wook
    • Korea-Australia Rheology Journal
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    • v.15 no.2
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    • pp.83-90
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    • 2003
  • In cases of the microfluidic channel, the electrokinetic influence on the transport behavior can be found. The externally applied body force originated from the electrostatic interaction between the nonlinear Poisson-Boltzmann field and the flow-induced electrical field is applied in the equation of motion. The electrostatic potential profile is computed a priori by applying the finite difference scheme, and an analytical solution to the Navier-Stokes equation of motion for slit-like microchannel is obtained via the Green's function. An explicit analytical expression for the induced electrokinetic potential is derived as functions of relevant physicochemical parameters. The effects of the electric double layer, the zeta potential of the solid surface, and the charge condition of the channel wall on the velocity profile as well as the electroviscous behavior are examined. With increases in either electric double layer or zeta potential, the average fluid velocity in the channel of same charge is entirely reduced, whereas the electroviscous effect becomes stronger. We observed an opposite behavior in the channel of opposite charge, where the attractive electrostatic interactions are presented.

Nonlinear response of a resonant viscoelastic microbeam under an electrical actuation

  • Zamanian, M.;Khadem, S.E.;Mahmoodi, S.N.
    • Structural Engineering and Mechanics
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    • v.35 no.4
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    • pp.387-407
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    • 2010
  • In this paper, using perturbation and Galerkin method, the response of a resonant viscoelastic microbeam to an electric actuation is obtained. The microbeam is under axial load and electrical load. It is assumed that midplane is stretched, when the beam is deflected. The equation of motion is derived using the Newton's second law. The viscoelastic model is taken to be the Kelvin-Voigt model. In the first section, the static deflection is obtained using the Galerkin method. Exact linear symmetric mode shape of a straight beam and its deflection function under constant transverse load are used as admissible functions. So, an analytical expression that describes the static deflection at all points is obtained. Comparing the result with previous research show that using deflection function as admissible function decreases the computation errors and previous calculations volume. In the second section, the response of a microbeam resonator system under primary and secondary resonance excitation has been obtained by analytical multiple scale perturbation method combined with the Galerkin method. It is shown, that a small amount of viscoelastic damping has an important effect and causes to decrease the maximum amplitude of response, and to shift the resonance frequency. Also, it shown, that an increase of the DC voltage, ratio of the air gap to the microbeam thickness, tensile axial load, would increase the effect of viscoelastic damping, and an increase of the compressive axial load would decrease the effect of viscoelastic damping.

Accuracy of incidental dynamic analysis of mobile elevating work platforms

  • Jovanovic, Miomir L.J.;Radoicic, Goran N.;Stojanovic, Vladimir S.
    • Structural Engineering and Mechanics
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    • v.71 no.5
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    • pp.553-562
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    • 2019
  • This paper presents the results of a study into the dynamic behaviour of a support structure of a mobile elevating work platform. The vibrations of the mechanical system of the observed structure are examined analytically, numerically, and experimentally. Within the analytical examination, a simple mathematical model is developed to describe free and forced vibrations. The dynamic analysis of the mechanical system is conducted using a discrete dynamic model with a reduced number of vibrational degrees of freedom. On the basis of the expression for the system energy, and by applying Lagrange's equations of the second kind, differential equations are derived for system vibrations, frequencies are determined, and the laws of forced platform vibration are established. At the same time, a nonlinear FEM model is developed and the laws of free and forced vibration are determined. The experimental and numerical part of the study deal with the examination of the real structure in extreme conditions, taking into account: the lowest eigenfrequency, forced actions that could endanger the general stability, the maximal amplitudes, and the acceleration of the work platform. The obtained analytical and numerical results are compared with the experiments. The experimental verification points to the adverse behaviour of the platform in excitation cases - swaying. In such a situation, even a relatively small physical force can lead to unacceptably high amplitudes of displacement and acceleration - exceeding the usual work values.

Elastic stiffness of stud connection in composite structures

  • Qin, Xi;Yang, Guotao
    • Steel and Composite Structures
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    • v.39 no.4
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    • pp.419-433
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    • 2021
  • In composite structures, shear connectors are crucial components to resist the relative slip between the steel and concrete, and thereby to achieve the composite actions. In the service stage, composite structures are usually in elastic state, so the elastic stiffness of the shear connection is a quite important parameter in the structural analysis of composite structures. Nevertheless, the existing studies mainly focus on the load-slip relationship rather than the tangent stiffness at the initial elastic stage. Furthermore, when composite beams subjected to torque or local load, shear connections are affected by both tensile force and shear force. However, the stiffness of shear connections under combined effects appears not to have been discussed hitherto. This paper investigates the initial elastic stiffness of stud connections under combined effects of biaxial forces. The initial expression and the relevant parameters are obtained by establishing a simplified analytical model of the stud connection. Afterwards, parametric finite element analysis is performed to investigate the effects of the relevant factors, including the stud length, stud diameter, elastic modulus of concrete, elastic modulus of steel and volume ratio of reinforcement. The feasibility of the proposed modelling has been proved by comparing with sufficient experimental tests. Based on the analytical analysis and the extensive numerical simulations, design equations for predicting the initial elastic stiffness of stud connections are proposed. The comparison between the equations and the data of finite element models demonstrates that the equations are accurate enough to serve for engineering communities.

An Analytical Model of the First Eigen Energy Level for MOSFETs Having Ultrathin Gate Oxides

  • Yadav, B. Pavan Kumar;Dutta, Aloke K.
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.10 no.3
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    • pp.203-212
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    • 2010
  • In this paper, we present an analytical model for the first eigen energy level ($E_0$) of the carriers in the inversion layer in present generation MOSFETs, having ultrathin gate oxides and high substrate doping concentrations. Commonly used approaches to evaluate $E_0$ make either or both of the following two assumptions: one is that the barrier height at the oxide-semiconductor interface is infinite (with the consequence that the wave function at this interface is forced to zero), while the other is the triangular potential well approximation within the semiconductor (resulting in a constant electric field throughout the semiconductor, equal to the surface electric field). Obviously, both these assumptions are wrong, however, in order to correctly account for these two effects, one needs to solve Schrodinger and Poisson equations simultaneously, with the approach turning numerical and computationally intensive. In this work, we have derived a closed-form analytical expression for $E_0$, with due considerations for both the assumptions mentioned above. In order to account for the finite barrier height at the oxide-semiconductor interface, we have used the asymptotic approximations of the Airy function integrals to find the wave functions at the oxide and the semiconductor. Then, by applying the boundary condition at the oxide-semiconductor interface, we developed the model for $E_0$. With regard to the second assumption, we proposed the inclusion of a fitting parameter in the wellknown effective electric field model. The results matched very well with those obtained from Li's model. Another unique contribution of this work is to explicitly account for the finite oxide-semiconductor barrier height, which none of the reported works considered.

Analysis for Concentration Range of Fluorescein Sodium (플루오레신나트륨의 농도 범위 분석)

  • Lee, Da-Ae;Kim, Yong-Jae;Yoon, Ki-Cheol;Kim, Kwang-Gi
    • Journal of Biomedical Engineering Research
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    • v.41 no.2
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    • pp.67-74
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    • 2020
  • Brain tumors or gliomas are fatal cancer species with high recurrence rates due to their strong invasiveness. Therefore, the goal of surgery is complete tumor resection. However, the surgery is difficult to distinguish the border because tumors and blood vessels have the same color tone and shape. The fluorescein sodium is used as a fluorescence contrast agent for boundary separation. When the external light source is irradiated, yellow fluorescence is expressed in the tumor, which helps distinguish between blood vessels and tumor boundaries. But, the fluorescence expression of fluorescence sodium depends on the concentration of fluorescein sodium and such analytical data is insufficient. The unclear fluorescence can obscure the boundaries between blood vessels and tumors. In addition, reduce the efficiency of fluorescence sodium use. This paper proposes a protocol of concentration range for fluorescence expression conditions. Fluorescent expression was observed using a near-infrared (NIR) color camera with corresponding dilution using normal saline in 1 ml microtube. The flunoresence emission density range is 1.00 mM to 0.15 mM. The fluorescence emission begin to 1.00 mM and the 0.15 mM discolor. The discolor is difficult to fluorescence emission condition obserbation. Thus, the maximum density range of the bright fluoresecein is 0.15 mM to 0.30 mM. When the concentration range of fluorescein sodium is analyzed based on the gradient of fluorescence expression and the power measurement, the brightest fluorescence is expected to facilitate the complete resection of the tumor. For the concentration range protocol, setting concentration ranges and analyzing fluorescence expression image according to saturation and brightness to find optimal fluorescence concentration are important. Concentration range protocols for fluorescence expression conditions can be used to find optimal concentrations of substances whose expression pattern varies with concentration ranges. This study is expected to be helpful in the boundary classification and resection of brain tumors and glioma.

Regulatory mechanism of Angelica Gigas extract powder on matrix metalloproteinases in vitro and in vivo model (참당귀 추출분말이 in vitro and in vivo model에서 MMPs 조절 기전)

  • Kwon, Jin-Hwan;Han, Min-Seok;Lee, Yong-Moon
    • Analytical Science and Technology
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    • v.28 no.6
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    • pp.361-369
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    • 2015
  • The precise mechanism underlying the therapeutic efficacy of an extraction powder of Angelica gigas (AGE) for the treatment of degenerative osteoarthritis was investigated in primary cultured rabbit chondrocytes and in a monosodium-iodoacetate (MIA)-induced osteoarthritis rat model. The treatment with AGE (50 μg/mL) effectively inhibited NF-B activation. The anti-inflammatory mechanism was clarified by gelatin zymography and western blotting measurements of matrix metalloproteinase-2 (MMP-2) and matrix metalloproteinase-9 (MMP-9) activities. The AGE (50 μg/mL) treatment significantly reduced MMP-9 activity. The constituents of AGE— decursinol, decursin, and decursinol angelate—were determined by LC-MS/MS after a 24 hr treatment of rabbit chondrocytes. The contents of the major products, decursin and decursinol angelate, were 3.62±0.47 and 2.14 ±0.36 μg/mg protein, respectively in AGE-treated (50 μg/mL) rabbit chondrocytes. An in vivo animal study on rats fed a diet containing 25, 50, and 100 mg/kg AGE for 3 weeks revealed a significant inhibition of the MMPs in the MIA-induced rat articular cartilage. The genetic expression of arthritic factors in the articular cartilage was examined by RT-PCR of collagen Type I, collagen Type II, aggrecan, and MMP (MMP3, MMP-9, MMP13). Specifically, AGE up-regulated the expression of collagen Type I, collagen Type II, and aggrecan and inhibited MMP levels at all tested concentrations. Collectively, AGE showed a strong specific site of action on MMP regulation and protected against the degeneration of articular cartilage via cellular regulation of MMP expression both in vitro and in vivo.

Inhibitory effect of Angelica gigas extract powder on induced inflammatory cytokines in rats osteoarthritis (참당귀 추출분말의 골관절염 흰쥐의 염증성 사이토카인류의 억제활성)

  • Kwon, Jin-Hwan;Han, Min-Seok;Lee, Bu-Min;Lee, Yong-Moon
    • Analytical Science and Technology
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    • v.28 no.4
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    • pp.260-269
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    • 2015
  • The protective effects of extract powder of Angelica gigas on the degeneration of the articular cartilage in rats was investigated with monosodium iodoacetate (MIA)-induced osteoarthritis, The treatment of high concentration (50 μg/mL) of Angelica gigas effectively inhibited nitric oxide (NO) production induced by interleukin-1α (IL-1α) without any cytotoxicity. Specifically, mRNA and protein expression of inducible nitric oxide synthase (iNOS) and cyclooxygenase-2 (COX-2) were dose dependently reduced by extract powder of Angelica gigas. Importantly, mRNA expression in articular cartilage of inflammatory cytokines, tumor necrosis factor-α (TNF-α), interleukin-1β (IL-1β) and interleukin-6 (IL-6) were clearly reduced. The inflammatory cytokines in blood were also reduced as well. These results suggested that the protective effects on the degeneration of the articular cartilage was derived from the inhibitory effects of mRNA and protein expression of tested inflammatory cytokines which is linked to prevent the degradation of proteoglycan (PG), the main matrix content in articular cartilage. Meanwhile, the 2 hrs incubation of decursin, a major compound of extract powder in rat whole blood rapidely converted decursin into decursinol which shows string anti-inflammatory activity. The coverted decursinol was detected after 8 hrs in whole blood by LC-MS/MS. Conclusively, the inhibitory effects of inflammatory cytokines production in osteoarthritis may be derived from the production of decursinol, which performs against inflammatroy cytokines like TNF-α, IL-1β, and IL-6.

Multiuser Heterogeneous-SNR MIMO Systems

  • Jo, Han-Shin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.8 no.8
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    • pp.2607-2625
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    • 2014
  • Previous studies on multiuser multiple-input multiple-output (MIMO) mostly assume a homogeneous signal-to-noise ratio (SNR), where each user has the same average SNR. However, real networks are more likely to feature heterogeneous SNRs (a random-valued average SNR). Motivated by this fact, we analyze a multiuser MIMO downlink with a zero-forcing (ZF) receiver in a heterogeneous SNR environment. A transmitter with Mantennas constructs M orthonormal beams and performs the SNR-based proportional fairness (S-PF) scheduling where data are transmitted to users each with the highest ratio of the SNR to the average SNR per beam. We develop a new analytical expression for the sum throughput of the multiuser MIMO system. Furthermore, simply modifying the expression provides the sum throughput for important special cases such as homogeneous SNR, max-rate scheduling, or high SNR. From the analysis, we obtain new insights (lemmas): i) S-PF scheduling maximizes the sum throughput in the homogeneous SNR and ii) under high SNR and a large number of users, S-PF scheduling yields the same multiuser diversity for both heterogeneous SNRs and homogeneous SNRs. Numerical simulation shows the interesting result that the sum throughput is not always proportional to M for a small number of users.

On Negative Correlation Bit-to-Symbol(: B2S) Mapping for NOMA with Correlated Information Sources in 5G Systems (5G 시스템에서 상관 정보원의 비직교 다중접속을 위한 음수의 상관관계 계수 B2S 사상)

  • Chung, Kyu-Hyuk
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.5
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    • pp.881-888
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    • 2020
  • In this paper, in order to improve the degraded BER performance of the stronger channel user in non-orthogonal multiple access(: NOMA) with interactive mobile users, we propose the negative correlation bit-to-symbol(: B2S) mapping. First, the closed-form expression for the BER of the negative correlation B2S mapping receiver is derived, and then it is shown that the BER of the negative correlation B2S mapping receiver is improved, compared with those of the ideal perfect successive interference cancellation(: SIC) receiver and positive correlation receiver. Additionally, based on the analytical expression, signal-to-noise(: SNR) gain is calculated, and the superiority of the negative correlation B2S mapping receiver is validated.