• Steel and Composite Structures
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• 제22권4호
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• pp.713-732
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• 2016

A novel four variable refined plate theory is proposed in this work for laminated composite plates. The theory considers a parabolic distribution of the transverse shear strains, and respects the zero traction boundary conditions on the surfaces of the plate without employing shear correction coefficient. The displacement field is based on a novel kinematic in which the undetermined integral terms are used, and only four unknowns are involved. The analytical solutions of antisymmetric cross-ply and angle-ply laminates are determined via Navier technique. The obtained results from the present model are compared with three-dimensional elasticity solutions and results of the first-order and the other higher-order theories reported in the literature. It can be concluded that the developed theory is accurate and simple in investigating the bending and buckling responses of laminated composite plates.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.813-829
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• 2011

In this article, we present a numerical scheme for solving singularly perturbed (i.e. highest -order derivative term multiplied by small parameter) Burgers-Huxley equation with appropriate initial and boundary conditions. Most of the traditional methods fail to capture the effect of layer behavior when small parameter tends to zero. The presence of perturbation parameter and nonlinearity in the problem leads to severe difficulties in the solution approximation. To overcome such difficulties the present numerical scheme is constructed. In construction of the numerical scheme, the first step is the dicretization of the time variable using forward difference formula with constant step length. Then, the resulting non linear singularly perturbed semidiscrete problem is linearized using quasi-linearization process. Finally, differential quadrature method is used for space discretization. The error estimate and convergence of the numerical scheme is discussed. A set of numerical experiment is carried out in support of the developed scheme.

• 대한의용생체공학회:학술대회논문집
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• 대한의용생체공학회 1998년도 추계학술대회
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• pp.237-238
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• 1998

The kinetics of sulfite oxidation must be fast and the concentration of sulfite must be low to emulate oxygen uptake by blood. The kinetics were studied yielding a first order rate constant in sulfile, zero order in oxygen. Limitations of the technique were evaluated using the experimental rate constant and an adaptation of Lightfoot's approximation, while the reaction of hemoglobin is reversible and essentially instantaneous, that for sulfite is irreversible and finite. Thus if the approach to saturations not monotonic or if the mass transfer resistance is significantly lowered, e. g. when blood film thicknesses are thinner than a few hundred microns, deviations may occur.

• 대한수학회보
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• 제59권4호
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• pp.827-841
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• 2022

In this paper, we study the uniqueness of two finite order transcendental meromorphic solutions f(z) and g(z) of the following complex difference equation A₁(z)f(z + 1) + A₀(z)f(z) = F(z)e^𝛼(z) when they share 0, ∞ CM, where A₁(z), A₀(z), F(z) are non-zero polynomials, 𝛼(z) is a polynomial. Our result generalizes and complements some known results given recently by Cui and Chen, Li and Chen. Examples for the precision of our result are also supplied.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.409-431
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• 2022

In this paper, we deal with the existence of solutions of the following system of nonlinear rational difference equations with order five $x_{n+1}=\frac{y_{n-3}x_{n-4}}{y_n(a+by_{n-3}x_{n-4})}$, $y_{n+1}=\frac{x_{n-3}y_{n-4}}{x_n(c+dx_{n-3}y_{n-4})}$, n = 0, 1, ⋯, where parameters a, b, c and d are not executed at the same time and initial conditions x_-4, x_-3, x_-2, x_-1, x₀, y_-4, y_-3, y_-2, y_-1 and y₀ are non zero real numbers.

• 한국전산응용수학회:학술대회논문집
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• 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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• pp.6-6
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• 2003

In this work we consider the mathematical formulation and numerical resolution of the linear feedback control problem for Boussinesq equations. The controlled Boussinesq equations is given by $$\frac{{\partial}u}{{\partial}t}-{\nu}{\Delta}u+(u{\cdot}{\nabla}u+{\nabla}p={\beta}{\theta}g+f+F\;\;in\;(0,\;T){\times}\;{\Omega}$$, $${\nabla}{\cdot}u=0\;\;in\;(0,\;T){\times}{\Omega}$$, $$u|_{{\partial}{\Omega}=0,\;u(0,x)=\;u_0(x)$$ $$\frac{{\partial}{\theta}}{{\partial}t}-k{\Delta}{\theta}+(u{\cdot}){\theta}={\tau}+T,\;\;in(0,\;T){\times}{\Omega}$$ $${\theta}|_{{\partial}{\Omega}=0,\;\;{\theta}(0,X)={\theta}_0(X)$$, where $\Omega$ is a bounded open set in $R^{n}$, n=2 or 3 with a $C^{\infty}$ boundary ${\partial}{\Omega}$. The control is achieved by means of a linear feedback law relating the body forces to the velocity and temperature field, i.e., $$f=-{\gamma}_1(u-U),\;\;{\tau}=-{\gamma}_2({\theta}-{\Theta}}$$ where (U,$\Theta$) are target velocity and temperature. We show that the unsteady solutions to Boussinesq equations are stabilizable by internal controllers with exponential decaying property. In order to compute (approximations to) solution, semi discrete-in-time and full space-time discrete approximations are also studied. We prove that the difference between the solution of the discrete problem and the target solution decay to zero exponentially for sufficiently small time step.

• Carbon letters
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• 제9권1호
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• pp.8-16
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• 2008

Oxidized activated carbons were prepared by reacting steam-activated carbon developed from pecan shells with nitric acid of varying strength (15, 30, 45 and 60%). The textural properties and the chemistry of the surface of the non-oxidized and of the oxidized carbons were determined from nitrogen adsorption and base neutralization capacities. The uptake of Pb(II) and Cd(II) from aqueous solution by these carbons was determined by kinetic and equilibrium experiments as well as by the column method. Treatment with nitric acid brought about drastic decrease in surface area and remarkable increase in the pore size of the carbon with these changes depending on the strength of nitric acid. Nitric acid increased the surface acidity by developing new surface oxygen functional groups of acidic nature. $HNO_3$-oxidized carbons exhibited high adsorption capacities for Pb(II) and Cd(II). The adsorption of these ions increased with the decrease of the surface pH of the carbon and with the increase of the solution pH from 2.5 to 6 and 7. The amount adsorbed from lead and cadmium was also related to the amount of surface acidity, the pH of the point of zero charge and on some metal ion parameters. Cadmium and lead uptake by the investigated carbons followed pseudo-second order model and the equilibrium sorption data fitted Langmuir adsorption model.

• 드라이브 ㆍ 컨트롤
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• 제17권2호
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• pp.1-8
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• 2020

Recently, industrial systems are becoming quicker and lighter to enable the reduction of energy consumption and increase productivity. So the latest systems are more flexible and rapid than the previous systems. But, with this improvement, another problem has emerged, such as the increase in residual vibration when a system is started or stopped. The input shaper is a command generation method that can remove residual vibration. It can provide a solution to the problem of residual vibration in industrial systems. However, it is difficult to generate the input shaper in high order systems, such as a typical industrial system because the input shaper is induced from the system's vibration characteristics. This study focused on the extra insensitivity shaper that can compensate for the system's modeling error such as input dynamics, and the high order's system affection. A genetic algorithm was deployed to adjust a vibration limitation for the extra insensitivity of the input shaper. A plant is a low damping system that includes one zero and a pole. The fitness functions are an error signal of the system's response with normalized frequency variations. Verification of the suggested system is satisfied by comparison between the zero vibration derivative input shaper's response and the suggested one.

• 청정기술
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• 제15권3호
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• pp.194-201
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• 2009

최근 주요 수질오염 물질로 대두되고 있는 질산성 질소의 제거를 목적으로 영가 철 나노입자에 의한 질산성 질소의 환원반응성을 평가하였다. 영가 철 나노입자의 제조방법에 따른 반응성 차이를 규명하기 위해 유기용매 상에 계면활성제를 첨가하여 나노미터 크기 수준의 수용액 분산상에서 입자를 합성하는 마이크로에멀젼 방법과, 수용액 상의 철 이온을 환원시켜 입자를 합성하는 두 가지 방법으로 영가 철 나노입자를 합성하였다. 또한 전기영동법으로 알루미늄에 침적시킨 영가 철 나노입자에 의한 질산성 질소 제거속도를 측정하고, 고정화되지 않은 나노 철 입자에 의한 반응속도와 비교하였다. 환원반응을 질산성 질소에 대한 1차 반응으로 가정하여 수용액 방법 및 마이크로에멀전 방법으로 제조된 영가 철 나노입자의 반응성을 평가한 결과, 반응속도상수는 각각 $1.40{\times}10^{-2}min^{-1}$ 와 $3.49{\times}10^{-2}min^{-1}$ 로서 비표면적에 비례하여 증가하였다. 알루미늄에 침적된 나노입자는 현탁된 나노입자의 반응과 비교하여 약 30% 감소된 반응속도를 보였으나, 과량의 질산성 질소가 존재하는 경우 나노 철의 단위 질량당 질산성 질소의 제거효율 면에서 더 우수한 특성을 보였다. 나노철 입자의 현탁액은 반응시간 30분 이내에 반응속도가 감소하는 경향을 보였으나, 알루미늄에 침적된 나노철 입자는 3시간 이상 활성을 유지하였으며, 최종 생성물로 기체 질소를 발생시키는 것을 확인하였다.

• 접착 및 계면
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• 제16권3호
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• pp.116-121
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• 2015

본 연구에서는 발수성 재료로 쓰이고 상대적으로 가격이 비싼 불소계 실란을 대체하기 위해 octadecyltrichlorosilane (OTS)을 사용하였다. 코팅층의 기계적 접착강도를 향상시키기 위해 무기바인더를 산 촉매 하에서 졸-겔 반응에 의해 분산시켜 합성하였다. 합성된 실리카 나노입자는 나노크기의 거칠기를 제공하기 때문에 초소수성을 쉽게 얻기 어려우므로 유기용매에 의한 입자의 응집을 유도하였다. 실리카 나노입자의 적절한 크기 선택에 따라 OTS를 사용해서 표면을 소수화 시킨 후 유기용매의 양이 증가함에 따라 초소수성의 표면을 얻었고 극도의 물 반발 거동이 zero sliding angle과 함께 관찰되었다. 이러한 초소수성은 용매와의 혼합과 상관없이 유전상수가 25보다 작은 값을 가졌으며 용매 내에서 입자의 응집을 통해 유도된 초소수성 표면을 제조하는 것이 저유전상수 값에 대한 지표가 되었다.