• 대한전기학회논문지
• /
• 제35권11호
• /
• pp.479-486
• /
• 1986

It is necessary to consider a rotor movement in dynamic analysis on the flux distribution of electric machinery by FEM. Therefore, if air-gap domain was subdivided into triangular elements, computation results contain errors due to variation of element shape in air-gap because the nodal points corresponding to the rotor are displaced in analyzing domain for the time difference. In order to reduce this errors, the paper presents a application of a Macro Air-gap Element that interpolation function is obtained analytically and a means to join it with linear triangular elements in the rotating machine or in the linear machine. At the end of paper, setting up analytic domain model, it compares analytic solution with the computation results of Macro Air-gap Element appliction and that of linear triangular element subdivision only to each cases of nodal displacement. And it carries out that errors due to variation of element shape are reduced effectively by application of a Macro air-gap element.

• Structural Engineering and Mechanics
• /
• 제55권2호
• /
• pp.349-364
• /
• 2015

Analytical solutions for modeling geotextile tubes during the filling process and approximation method to determine the densified tube shape are reviewed. The geotextile tube filling analysis is based on Plaut & Suherman's two-dimensional solution for geotextile tubes having a weightless and frictionless inextensible membrane resting on a rigid horizontal foundation subjected to internal and external hydrostatic pressures. The approximation for the densified tube shape developed by Leshchinsky et al. was adopted. A modified method for approximating the densified tube shape based on an areal-strain deformation analysis is introduced. Design diagrams useful for approximating geotextile tube measurements in the design process are provided.

• 전산구조공학
• /
• 제8권1호
• /
• pp.137-146
• /
• 1995

본 논문에서는 최근 관심이 증대되고 있는 충격하중에 의해 시간의 흐름에 따라 형성되는 구조물의 응력분포 양상을 유한요소 해석적으로 고찰하기 위하여 동적 응력 해석 프로그램을 개발하였다. 유한요소 해석에 의하면, 종방향 응력파는 충격하중이 작용하는 방향과 동일한 방향으로 진행하며, 응력파 선단의 속도와 모양은 이론해석에 의한 결과와 같음을 알 수 있다. 또한 종파의 진행방향에 45.deg. 방향으로 전단파가 발생하여 진행함을 알 수 있으며, 전단파의 속도는 종파의 1/2이 되고, 종파보다 전단파의 강도가 큼을 알 수 있다.

• 한국광학회지
• /
• 제23권1호
• /
• pp.17-22
• /
• 2012

등가렌즈는 전체굴절능과 주변광선에 대한 근축광학적 특성은 같지만 축상두께가 다른 렌즈이다. 이 연구에서는 두꺼운 렌즈를 등가렌즈로 변환하는 해석적인 방법에 대하여 연구하였고, 변환조건이 2차방정식의 해로서 주어짐을 보였다. 모든 두꺼운 렌즈는 유일해인 경우를 제외하면 이 2차방정식의 두 실근중의 하나이기 때문에 반드시 공액해가 1개 존재한다. 이 공액해는 축성 두께와 근축광학적 특성은 같지만 모양과 수차특성은 다르다. 예제 렌즈의 등가렌즈 변환을 통하여 등가렌즈와 이에 대응하는 공액해의 특성을 살펴보았다.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 2004년도 춘계학술대회논문집
• /
• pp.292-292
• /
• 2004

There are many difficulties to get the scattered field generated by obstacle which has arbitrary shape or irregular surface impedance by using analytic solution or numerical methods. In this study, we propose experimental method of acoustic scattering holography that can predict the far-field scattered field based on nearfield measurements. First of all, we express scattered field using K-H integral equation and compare the differences of which green's function we use. Also we consider analytic solution of scattered field by infinite cylinder to analysis for the errors due to apply cylinderical holography. So the errors which caused by holography due to frequency (ka) and microphone spacing are also analyzed by numerical simulation.

• Journal of Mechanical Science and Technology
• /
• 제14권8호
• /
• pp.861-866
• /
• 2000

Flow induced shape change is important for spatial interpretation of vascular response and for understanding of mechanotransduction in a single cell. We investigated the possible shapes of endothelial cell (EC) in a mathematical model and compared these with experimental results. The linearized analytic solution from the sinusoidal wavy wall and Stokes flow was applied with the constraint of EC volume. The three dimensional structure of the human umbilical vein endothelial cell was visualized in static culture or after various durations of shear stress (20 $dyne/cm^2$ for 5, 10, 20, 40, 60, 120min). The shape ratio (width: length: height) of model agreed with that of the experimental result, which represented the drag force minimizing shape of stream-lining. EC would be streamlined in order to accommodate to the shear flow environmented by active reconstruction of cytoskeletons and membranes through a drag force the sensing mechanism.

• 대한기계학회논문집
• /
• 제17권1호
• /
• pp.11-20
• /
• 1993

본 연구에서는 준 해석적 방법에 촛점을 맞추어 전개를 하려 한다. 대개의 최적설계방식이 그렇듯 준 해석적 방법도 치수변수에 관해 응용이 이루어졌는데 그 정 확도에 문제가 나타나지는 않는다. 그러나 최근 형상변수에 대해 응용을 할 경우 오 차가 큰 것이 발견되었다. 물론 치수변수에 관해서도 준 해석적 방법에서 오차가 존 재한다는 보고 있으나 그 절대량이 크지 않으므로 그다지 심각하지 않다고 사료된다. 여기서는 준해석적 방법의 오차의 과정이 수학적으로 전개될 것이며, 설정된 구조물에 대한 수치적 계산결과가 논의 될 것이다. 해석의 대상 구조물로는 엄밀해가 존재하 여 비교분석이 용이한 2차원 외팔보가 선택되었으며, 여러가지 방법과의 비교로서 준 해석적 방법이 논의되고 효과적인 방법선택이 제안될 것이다.

• Structural Engineering and Mechanics
• /
• 제7권3호
• /
• pp.259-276
• /
• 1999

An analytical solution for the shape functions of a beam segment supported on a generalized two-parameter elastic foundation is derived. The solution is general, and is not restricted to a particular range of magnitudes of the foundation parameters. The exact shape functions can be utilized to derive exact analytic expressions for the coefficients of the element stiffness matrix, work equivalent nodal forces for arbitrary transverse loads and coefficients of the consistent mass and geometrical stiffness matrices. As illustration, each distinct coefficient of the element stiffness matrix is compared with its conventional counterpart for a beam segment supported by no foundation at all for the entire range of foundation parameters.

• 대한기계학회논문집A
• /
• 제24권3호
• /
• pp.645-652
• /
• 2000

A method for shape design sensitivity analysis is proposed utilizing commercial software ANSYS for thermal conduction problems. While the sensitivity formula is derived analytically by introduing adjoint variable concept, sensitivity calculation in practice as well as the primal and adjoint solution of thermal conduction is performed using the ANSYS very easily. Since the formula always takes boundary integral form, sensitivity evaluation in ANSYS requires a little more addition of post-processing routine which involves evaluation of boundary variable from the obtained solution. Though the BEM has been used as a better tool for this purpose, the present study shows it can also be calculated using any kind of analysis code such as ANSYS since the formula is based on analytic nature. Therefore the present study provides a new and efficient way of optimization which was not possible before using commercial software. The usefulness of the method is illustrated via a weight minimization problem of thermal diffuser.

• 한국항해학회지
• /
• 제17권1호
• /
• pp.61-78
• /
• 1993

Large offshore structure are to be considered for oil storage facilities , marine terminals, power plants, offshore airports, industrial complexes and recreational facilities. Some of them have already been constructed. Some of the envisioned structures will be of the artificial-island type, in which the bulk of structures may act as significant barriers to normal waves and the prediction of the wave intensity will be of importance for design of structure. The present study deals wave scattering problem combining reflection and diffraction of waves due to the shape of the impermeable rigid upright structure, subject to the excitation of a plane simple harmonic wave coming from infinity. In this study, a finite difference technique for the numerical solution is applied to the boundary integral equation obtained for wave potential. The numerical solution is verified with the analytic solution. The model is applied to various structures, such as the detached breakwater (3L${\times}$0.1L), bird-type breakwater(318L${\times}$0.17L), cylinder-type and crescent -type structure (2.89L${\times}$0.6L, 0.8L${\times}$0.26L).The result are presented in wave height amplification factors and wave height diagram. Also, the amplification factors across the structure or 1 or 2 wavelengths away from the structure are compared with each given case. From the numerical simulation for the various boundary types of structure, we could figure out the transformation pattern of waves and predict the waves and predict the wave intensity in the vicinity of large artificial structures.