• 물과 미래
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• 제28권3호
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• pp.205-216
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• 1995

자연하천의 종확산과정을 정확하게 대표하는 종확산계수의 선정을 위하여 기 제안된 종확산계수 추정공식들을 비교 분석하였다. 종확산계수 공식 중 적용성이 비교적 우수한 공식을 선정하여 미국 언역의 26개 하천에서 수집된 실측치와 비교하였다. 본 연구에서 밝혀진 사실은 다음과 같다. Elder공식은 종확산계수를 상당히 과소 산정하기 때문에 1차원 확산모형의 종확산계수의 산정에는 부적합하다. McQuivey와 Keefer공식은 전체적으로 과대 산정하는 편이고, Magazine 등 공식은 대부분의 경우에 과소 산정하고 있다. 이들에 비해 Iwasa와 Aya공식은 비교적 양호한 거동을 보이고 있다. Fischer공식은 전체적으로 과대 산정하고 있으나, Liu공식은 양호한 거동을 보이고 있으며 특히 정확도 면에서는 가장 우수한 것으로 나타났다. 그러나 Liu공식은 하폭의 제곱 형태를 포함하고 있기 때문에 하천의 폭이 큰 대하천의 경우 종확산계수를 과대 산정하고 있다. 따라서 하폭이 큰 대하천(200m 이상)의 경우에는 Liu공식의 사용을 피하는 것이 바람직한 것으로 사료된다.

• 한국해안해양공학회지
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• 제11권4호
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• pp.197-200
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• 1999

비선형 천수방정식을 해석하기 위하여 보정 leap-frog 기법을 확장하였다. 차분화 과정에서 발생하는 수치분산을 조정하여 Boussinesq 방정식의 분산을 대치하도록 하였다. 새로이 개발된 보정 leap-frog 기법을 이용하여 일정수심 및 경사면을 진행하는 고립파를 모의하였다. 새로운 확장기법에 의해 계산된 자유수면변위는 기존의 해석해 및 수치해와 잘 일치한다.

• 대한토목학회논문집
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• 제26권5B호
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• pp.551-555
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• 2006

본 연구에서는 지진해일의 전파과정을 모의함에 있어 분산을 보다 정확하게 고려하기 위하여 선형 천수방정식을 leap-frog 기법으로 차분화한 후 분산보정항을 추가하여 실질적으로 선형 Boussinesq 방정식과 같은 정도로 분산효과를 고려할 수 있게 하였다. 기법의 정확성을 검증하기 위하여 Gauss 분포의 초기 수면변위를 갖는 문제에 적용하여 해석해와 비교하였고, 그 결과 본 연구에서 개발한 기법이 기존의 기법에 비해서 정확한 결과를 제공하였다.

• Structural Engineering and Mechanics
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• 제68권6호
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• pp.701-711
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• 2018

Herein, the thermo-magneto-elastic wave dispersion answers of functionally graded (FG) double-nanobeam systems (DNBSs) are surveyed implementing a nonlocal strain gradient theory (NSGT). The kinematic relations are derived employing the classical beam theory. Also, scale influences are covered precisely in the framework of NSGT. Moreover, Mori-Tanaka homogenization model is introduced in order to obtain the effective material properties of FG nanobeams. Meanwhile, effects of external forces such as thermal and Lorentz forces are included in this research. Also, based upon the Hamilton's principle, the Euler-Lagrange equations are developed; afterwards, these equations are incorporated with those of NSGT to reach the nonlocal governing equations of FG-DNBSs. Furthermore, according to an analytical approach, the governing equations are solved to obtain the wave frequencies and phase velocities of FG-DNBSs. At the end, some illustrations are rendered to clarify the influences of a wide range of involved parameters.

• Coupled systems mechanics
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• 제13권3호
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• pp.247-275
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• 2024

The paper studies the influence of the fluid flow velocity and flow direction in the initial state on the dispersion of the axisymmetric waves propagating in the inhomogeneously pre-stressed hollow cylinder containing this fluid. The corresponding eigenvalue problem is formulated within the scope of the three-dimensional linearized theory of elastic waves in bodies with initial stresses, and with linearized Euler equations for the inviscid compressible fluid. The discrete-analytical solution method is employed, and analytical expressions of the sought values are derived from the solution to the corresponding field equations by employing the discrete-analytical method. The dispersion equation is obtained using these expressions and boundary and related compatibility conditions. Numerical results related to the action of the fluid flow velocity and flow direction on the influence of the inhomogeneous initial stresses on the dispersion curves in the zeroth and first modes are presented and discussed. As a result of the analyses of the numerical results, it is established how the fluid flow velocity and flow direction act on the magnitude of the influence of the initial inhomogeneous stresses on the wave propagation velocity in the cylinder containing the fluid.

• 대한토목학회논문집
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• 제33권5호
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• pp.1785-1795
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• 2013

기존 대부분의 천수흐름 해석모형에서는 연직방향으로 균일한 유속을 가정하였기 때문에 하천 만곡부에서 이차류의 영향을 고려하지 못하고 부정확한 흐름해석 결과를 도출하였다. 본 연구에서는 종횡방향 유속의 연직분포를 평균값과 이로부터의 변동량으로 분할하여 이 값들을 운동량 방정식에 대입하여 생성되는 추가적인 항인 분산응력을 포함하는 수치모형을 개발하였다. 제안된 모형을 $30^{\circ}$, $90^{\circ}$, $270^{\circ}$의 곡률을 가지는 수로에 적용하여 분산응력을 이용한 곡선수로에서의 천수흐름을 수치모의 하였다. 모의 결과, 운동량방정식에 포함된 분산응력항은 생성/소멸과 같은 역할을 하여, 만곡의 내측에서 외측으로 횡방향 운동량을 이동시키게 되므로 분산응력을 포함하지 않는 경우 보다 정확한 수치모의 결과를 제시하는 것으로 밝혀졌다.

• ETRI Journal
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• 제35권5호
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• pp.827-837
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• 2013

In this paper, we present wideband common-mode (CM) noise suppression using a vertical stepped impedance electromagnetic bandgap (VSI-EBG) structure for high-speed differential signals in multilayer printed circuit boards. This technique is an original design that enables us to apply the VSI-EBG structure to differential signals without sacrificing the differential characteristics. In addition, the analytical dispersion equations for the bandgap prediction of the CM propagation in the VSIEBG structure are extracted, and the closed-form expressions for the bandgap cutoff frequencies are derived. Based on the dispersion equations, the effects of the impedance ratio, the EBG patch length, and via inductances on the bandgap of the VSI-EBG structure for differential signals are thoroughly examined. The proposed dispersion equations are verified through agreement with the full-wave simulation results. It is experimentally demonstrated that the proposed VSI-EBG structure for differential signaling suppresses the CM noise in the wideband frequency range without degrading the differential characteristics.

• Structural Engineering and Mechanics
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• 제39권6호
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• pp.861-875
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• 2011

The aim of the present article is to study the micropolar thermoelastic interactions in an infinite Kelvin-Voigt type viscoelastic thermally conducting plate. The coupled dynamic thermoelasticity and generalized theories of thermoelasticity, namely, Lord and Shulman's and Green and Lindsay's are employed by assuming the mechanical behaviour as dynamic to study the problem. The model has been simplified by using Helmholtz decomposition technique and the resulting equations have been solved by using variable separable method to obtain the secular equations in isolated mathematical conditions for homogeneous isotropic micropolar thermo-viscoelastic plate for symmetric and skew-symmetric wave modes. The dispersion curves, attenuation coefficients, amplitudes of stresses and temperature distribution for symmetric and skew-symmetric modes are computed numerically and presented graphically for a magnesium crystal.

• 한국전기전자재료학회논문지
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• 제30권9호
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• pp.589-595
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• 2017

MOS-FET structured gas sensors were manufactured using MWCNTs for application as NOx gas sensors. As the gas sensors need to be heated to facilitate desorption of the gas molecules, heat dispersion plays a key role in boosting the degree of uniformity of molecular desorption. We report the desorption of gas molecules from the sensor at $150^{\circ}C$ for different sensor electrode gaps (30, 60, and $90{\mu}m$). The COMSOL analysis program was used to verify the process of heat dispersion. For heat analysis, structure of FET gas sensor modeling was proceeded. In addition, a property value of the material was used for two-dimensional modeling. To ascertain the degree of heat dispersion by FEM, the governing equations were presented as partial differential equations. The heat analysis revealed that although a large electrode gap is advantageous for effective gas adsorption, consideration of the heat dispersion gradient indicated that the optimal electrode gap for the sensor is $60{\mu}m$.

• Structural Engineering and Mechanics
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• 제58권2호
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• pp.347-378
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• 2016

Within the scope of the plane-strain state, by utilizing the three-dimensional linearized theory of elastic waves in initially stressed piezoelectric and elastic materials, Lamb wave propagation and the influence of the initial stresses on this propagation in a sandwich plate with pre-stressed piezoelectric face and pre-stressed metal elastic core layers are investigated. Dispersion equations are derived for the extensional and flexural Lamb waves and, as a result of numerical solution to these equations, the corresponding dispersion curves for the first (fundamental) and second modes are constructed. Concrete numerical results are obtained for the cases where the face layers' materials are PZT-2 or PZT-6B, but the material of the middle layer is Steel (St) or Aluminum (Al). Sandwich plates PZT-2/St/PZT-2, PZT-2/Al/PZT-2, PZT-6B/St/PZT-6B and PZT-6B/Al/PZT-6B are examined and the influence of the problem parameters such as piezoelectric and dielectric constants, layer thickness ratios and third order elastic constants of the St and Al on the effects of the initial stresses on the wave propagation velocity is studied.