• Journal of applied mathematics & informatics
• /
• 제4권1호
• /
• pp.109-116
• /
• 1997

In the present paper we consider an abstract partial dif-ferential equation of the form $\frac{\partial^2u}{{\partial}t^2}-\frac{\partial^2u}{{\partial}x^2}+A(x.t)u=f(x, t)$, where ${A(x, t):(x, t){\epsilon}\bar{G} }$ is a family of linear closed operators and $G=GU{\partial}G$, G is a suitable bounded region in the (x, t)-plane with bound-are ${\partial}G$. It is assumed that u is given on the boundary ${\partial}G$. The objective of this paper is to study the considered Dirichlet problem for a wide class of operators $A(x, t)$. A Dirichlet problem for non-elliptic partial differential equations of higher orders is also considerde.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2002년도 학술대회지
• /
• pp.17-22
• /
• 2002

Non-uniform and unsteady inflow into a Horizontal Axis Wind Turbine (HAWT) brings about an asymmetric flow field on the rotor plane and an unsteady aerodynamic load on the blades. In the present paper effects of yawed inflow and wind shear are analyzed by an inviscid aerodynamic model based on the asymptotic acceleration potential method. In the analysis the rotor blades are represented by spanwise and chordwise pressure distribution composed of analytical first-order asymptotic solutions for the Laplace equation. As the actual wind field experienced by a HAWT is turbulent, the effects of the turbulence are also examined using the Veers' model.

• 한국소음진동공학회논문집
• /
• 제15권2호
• /
• pp.123-128
• /
• 2005

Forced vibration of a thin circular ring with a concentrated harmonic force is analyzed when the ring is free and has only the in-plane motion. Using the unit doublet function for external force, the governing equation is obtained and is solved by the use of Laplace transform. The exact solutions of displacement components and bending moment are obtained. In order to verify the solutions of analysis, finite element analysis is performed and the results shows good agreement. Then, frequency response curves for displacement and bending moment are obtained. In deriving the governing equations and the solutions, nondimensional parameter of the exciting frequency and the magnitude of exciting force are extracted. As the displacement components are obtained, the remaining bending strain, slope, curvature, shear force, etc. can also be derived. With the results of this work, the responses of a free ring excited on multiple points with different frequencies can also be obtained easily by superposition.

• Journal of Mechanical Science and Technology
• /
• 제15권11호
• /
• pp.1499-1506
• /
• 2001

Various transition elements are used in general for the effective finite element analysis of complicated mechanical structures. In this paper, a solid-to-beam transition finite element, which can b e used for connecting a C1-continuity beam element to a continuum solid element, is proposed. The shape functions of the transition finite element are derived to meet the compatibility condition, and a transition element equation is formulated by the conventional finite element procedure. In order to show the effectiveness and convergence characteristics of the proposed transition element, numerical tests are performed for various examples. As a result of this study, following conclusions are obtained. (1) The proposed transition element, which meets the compatibility of the primary variables, exhibits excellent accuracy. (2) In case of using the proposed transition element, the number of nodes in the finite element model may be considerably reduced and the model construction becomes more convenient. (3) This formulation method can be applied to the usage of higher order elements.

• 한국조명전기설비학회:학술대회논문집
• /
• 한국조명전기설비학회 2005년도 춘계학술대회논문집
• /
• pp.66-68
• /
• 2005

This paper presents the reduction characteristics of penetrated electromagnetic fields through a narrow slot aperture in a planar conducting screen of infinite extent. When a plane wave is excited to the narrow slot, the aperture electric field is controlled by the parallel plate connected on the slot. The magnitude of penetrated electromagnetic fields through a narrow slot is controlled by electric field distributions on the slot aperture. An integral equation for the aperture electric field on narrow slots is derived and solved by applying Galerkin's method of moments. The results show that the magnitude of the penetrated electromagnetic field can be effectively reduced by installing the parallel plate on the slot aperture.

• 한국전자파학회지:전자파기술
• /
• 제1권1호
• /
• pp.20-27
• /
• 1990

본연구의 목적은특성엄피던스가서로다른션로가상호접속되어 있을때,외부전자파에 의해 전송선 로에 유기되는 전류를 해석하기 위한 효과적인 방법을 제안하는 데 었다. 이것은 전송선로 해석을 위해 비동차 미분방정식을 상태변수법으로 풀이하는 과정에서 얻어지는 천이행렬의 특성을 이용한 것으로 전송선로모델의 1차측과2차측을상호 변환시킬 수 있는새로운 전환기법이다. 이 방법을 이용하여 완전 도체명연 위의 전송선로모텔에 대한 유기전력의 특성을 시율레이션 결과를 통해 평가하였다.

• 대한기계학회논문집B
• /
• 제24권4호
• /
• pp.578-588
• /
• 2000

A low-Reynolds-number second moment turbulence closure is improved with the aid of DNS data. For the model coefficients of pressure-strain terms, we adopted Shima's model with some modification. Shin and Choi's new dissipation-rate equation is employed to simulate accurately the turbulence energy dissipation rate distribution in the near wall sublayer. The results of computations are compared with DNS, LES data and experimental data for turbulent plane channel flow with rotation about spanwise axis. The present second moment closure achieves a level of agreement similar to that for the non-rotating. In particular, it accurately captures the distribution of turbulence energy dissipation rate in the near wall region.

• Composites Research
• /
• 제15권5호
• /
• pp.35-43
• /
• 2002

본 연구는 폭이 변하는 transversely isotropic 판에서 평행한 변에 서로 크기가 다른 면내 축방향 압축력이 작용하며, 경사진면에는 면내 전단력이 작용하는 경우 판의 탄성좌굴거동에 관한 해석적 연구결과이다. 폭이 변하는 등방성판의 좌굴해석을 위해 개발된 기존의 이론적 해를 확장하여 transversely isotropic 재료의 역학적 성질을 고려한 좌굴해석을 할 수 있도록 하였다. 이론식은 power series를 사용하여 유도하였으며, 유한요소해석을 부가적으로 수행하고 그 결과를 이론식을 사용한 해석결과와 비교, 검토하였다.

• Composites Research
• /
• 제13권5호
• /
• pp.37-43
• /
• 2000

본 연구는 면내 전단력을 받으며 수직보강재가 설치된 직교이방성판의 탄성좌굴거동해석에 관한 것으로서, 판의 네 변은 단순지지 되었다고 가정하였으며, 등간격으로 배치된 보강재는 비틀림강성을 무시한 보요소로 간주하였다. 수직보강된 직교이방성판의 좌굴해석식은 Rayleigh-Ritz법을 사용하여 유도하였다. 유도된 좌굴해석식을 사용하여 수직보강된 직교이방성판의 좌굴응력의 한계값을 구해 그래프로 제시하였으며, 이 결과를 사용하여 수직보강재가 한 개 또는 두 개 설치된 판의 전단좌굴응력이 최대가 되도록 하기 위해 보강재에 요구되는 휨강성을 구하여 그래프로 제시하였다.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2008년도 추계학술대회B
• /
• pp.2648-2651
• /
• 2008

In AC electrowetting, it has been reported that there is a flow inside droplets. The flow characteristics such as flow rate, direction and the pattern of streamline are altered according to the frequency range of applied voltage. However, the mechanism of the flow has not been explained yet. This work is concentrated on investigation of the flow mechanism when high-frequency voltage is applied to droplets. We propose that this phenomenon arises from the electro-thermal flow. A numerical analysis is performed for the needle-electrode-plane geometry in which the Coulombic force term is included in the Navier-Stokes equation. According to our analysis, electrical charge is generated due to conductivity gradient which is originated from the nonuniform Joule heating of fluid medium. The result of the analysis is compared with experimental result.