• 제목/요약/키워드: Elliptical Equation

검색결과 55건 처리시간 0.024초

J2 섭동을 고려한 비공면 타원 궤도에서의 우주비행체 요격 (Spacecraft Intercept on Non-coplanar Elliptical Orbit Considering J2 Perturbation)

  • 오승렬;이현재
    • 한국항공우주학회지
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    • 제46권11호
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    • pp.902-910
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    • 2018
  • 본 논문은 지구의 J2 섭동을 고려한 비공면 타원궤도에서의 우주비행체의 요격 문제를 다룬다. J2에 의한 영향은 지구를 돌고 있는 우주비행체 궤도를 변화시키는 주된 요인이 되며, 이를 해결하기 위해 실시간 요격 방법을 제안한다. 구형의 지구와 순간추력을 고려한 운동방정식을 기반으로 최적화 문제를 구성하고 수치적으로 얻어진 최적해를 인터셉터의 추진방향으로 설정한다. 위치 오차는 최적화 문제를 반복적으로 해결하고 인터셉터의 추진방향을 수정하는 방식으로 해결한다. 다양한 궤도를 상황을 고려하여 제안하는 방법을 검증한다.

Numerical modeling of internal waves within a coupled analysis framework and their influence on spar platforms

  • Kurup, Nishu V.;Shi, Shan;Jiang, Lei;Kim, M.H.
    • Ocean Systems Engineering
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    • 제5권4호
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    • pp.261-277
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    • 2015
  • Internal solitary waves occur due to density stratification and are nonlinear in nature. These waves have been observed in many parts of the world including the South China Sea, Andaman Sea and Sulu Sea. Their effect on floating systems has been an emerging field of interest and recent offshore developments in the South China Sea where several offshore oil and gas discoveries are located have confirmed adverse effects including large platform motions and riser system damage. A valid numerical model conforming to the physics of internal waves is implemented in this paper and the effect on a spar platform is studied. The physics of internal waves is modeled by the Korteweg-de Vries (KdV) equation, which has a general solution involving Jacobian elliptical functions. The effects of vertical density stratification are captured by solving the Taylor Goldstein equation. Fully coupled time domain analyses are conducted to estimate the effect of internal waves on a typical truss spar, which is configured to South China Sea development requirements and environmental conditions. The hull, moorings and risers are considered as an integrated system and the platform global motions are analyzed. The study could be useful for future guidance and development of offshore systems in the South China Sea and other areas where the internal wave phenomenon is prominent.

Thermal Stability of Nanostructured Synthetic Ferrimagnets under Applied Magnetic Fields in the 45˚ Direction

  • Han, C.W.;Han, J.K.;Lim, S.H.
    • Journal of Magnetics
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    • 제15권3호
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    • pp.116-122
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    • 2010
  • An accurate analytical equation for the total energy in the framework of the single domain model is used to study the thermal stability of nanostructured synthetic ferrimagnets. Elliptical cells are considered that have lateral dimensions of 160 nm (long axis)$\times$80 nm (short axis) and varying values of thickness asymmetry for the two magnetic layers. The direction of the applied magnetic field, which points to the $45^{\circ}$ direction, is in the opposite direction to the thicker layer magnetization. A significant difference is observed in the applied magnetic field dependencies of the equilibrium magnetic configuration and the magnetic energy barrier when using the simplifying assumption that the self-demagnetizing field is identical in magnitude to the dipole field. At a small thickness asymmetry of 0.2 nm, for example, the magnetic energy barrier is reduced from 68 kT (T=300 K) to 6 kT at the remanent state and a progressive switching behavior changes into a critical behavior, as the simplifying assumption is used. The present results clearly demonstrate the need for an accurate analytical equation for the total energy in predicting the thermal stability of nanostructured synthetic ferrimagnets.

복합하중을 받는 평판에 존재하는 반타원 표면균열의 공학적 탄소성 파괴해석법 (Engineering Elastic-Plastic Fracture Analysis for Semi-Elliptical Surface Cracked Plates Under Combined Bending and Tension)

  • 심도준;김윤재;최재붕;김영진
    • 대한기계학회논문집A
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    • 제26권6호
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    • pp.1127-1134
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    • 2002
  • The present paper provides an engineering J estimation equation for surface cracked plates under combined bending and tension. The proposed equation is based on the reference stress approach, and the most relevant normalising loads to define the reference stress for accurate J estimations are given for surface cracked plates under combined bending and tension. Comparisons with J results from extensive 3-D FE analyses, covering a wide range of crack geometry, plate geometry and loading combination, show overall good agreement not only at the deepest point but also at arbitrary points along the crack front. for pure tension, agreement between the estimated J and the FE results is excellent, even at the surface point. On the other hand, for pure bending and combined bending and tension, the estimated J values become less accurate for locations close to the surface point. Thus the results in this paper will be useful to assess short-term fracture or low cycle fatigue of surface defects in plates under combined bending and tension.

Simulation for Contact Angle of Droplet on Riblet Surface

  • Kim, Tae Wan
    • Tribology and Lubricants
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    • 제33권5호
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    • pp.202-206
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    • 2017
  • In this study, the hydrophobicity properties for riblet surfaces that replicate shark skin are simulated. Riblet surfaces with surface roughness on riblets are generated numerically based on the measured data of real shark skin. We assumed that a rib on a scale is hemi-elliptical surface. The surface used in the simulation for the calculation of contact angle is composed of 9 scales like checkerboard type with a roughness. The contact angle of a water droplet can be calculated using the Wenzel equation and Cassie-Baxter equation for the generated riblet surfaces. The variation of contact angles with a fractional depth of penetration for the generated shark skin surfaces without and with coatings is demonstrated in the condition of solid-air-water. The results show that the contact angle for the surface without coating decreases with an increase of the fractional depth of penetration more drastically than that for the surface with coating. We compared the experimental and simulated results. It is shown that the measured contact angles of the shark skin template and the shark skin replica are within the simulated results. Therefore the contact angle of water droplet for rough surfaces can be estimated by the developed numerical method in this study.

터보펌프 인듀서에서 캐비테이션 시작점의 특성 및 예측에 관한 연구 (Characteristics and prediction of the cavitation inception in a turbopump inducer)

  • 강병윤;김대진;최창호
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2017년도 제48회 춘계학술대회논문집
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    • pp.1077-1079
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    • 2017
  • 터보펌프 인듀서에서 발생하는 캐비테이션은 시작점부터 점차 발달하여 임계점, 그리고 급격한 양정하락으로 이어지는 붕괴점의 체제로 진행된다. 본 연구에서는 터보펌프 인듀서에서 발생하는 캐비테이션 시작점에 대한 특성과 예측 경험식을 평가해 보았다. 타원 평판에서 캐비테이션 시작점의 경험식은 터보펌프 인듀서에서도 비교적 잘 예측하는 것으로 나타났다. 하지만, 선박용 프로펠러에서 사용되는 예측 경험식의 경우 터보펌프 인듀서에서는 큰 차이를 보였다. 이는 운전 영역에서의 레이놀즈수가 다르기 때문인 것으로 판단되었다.

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터보펌프 인듀서에서 캐비테이션 시작점의 특성 및 예측에 관한 연구 (Characteristics and Predictions of the Cavitation Inception in a Turbopump Inducer)

  • 강병윤;김대진;최창호
    • 한국추진공학회지
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    • 제23권1호
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    • pp.93-100
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    • 2019
  • 터보펌프 인듀서에서 발생하는 캐비테이션은 시작점부터 점차 발달하여 임계점, 그리고 급격한 양정 하락으로 이어지는 붕괴점의 과정으로 진행된다. 본 연구에서는 터보펌프 인듀서에서 발생하는 캐비테이션 시작점에 대한 특성과 경험식을 사용한 예측을 평가해 보았다. 타원 평판의 캐비테이션 시작점 경험식은 터보펌프 인듀서의 시작점도 비교적 잘 예측하는 것으로 나타났다. 하지만, 선박용 프로펠러에서 이용되는 경험식의 경우 터보펌프 인듀서의 결과와 큰 차이를 보였다. 터보펌프 인듀서의 캐비테이션 시작점은 날개 수가 증가할수록 빨라졌지만, 현절비와는 무관한 것으로 나타났다.

리블렛 표면에서 유적의 젖음성에 대한 수치 해석 (Wettability Simulation of Oil Droplet on Riblet Surface)

  • 김태완
    • Tribology and Lubricants
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    • 제35권2호
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    • pp.94-98
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    • 2019
  • The riblet structure like shark skin has been widely studied owing to its drag reduction and anti-fouling properties. In this study we simulated the wettability of an oil droplet on a riblet surface. We developed a numerical analysis method using the Wenzel equation and Cassie-Baxter equation that can estimate the contact angle with a penetrated depth of the droplet on rough surfaces. Riblet surfaces with nine scales composed of five hemi-elliptical ribs are generated numerically. The variation of contact angles with fractional depth of penetration for the generated riblet surfaces with and without coatings is demonstrated in the condition of solid-air-oil and solid-water-oil interfaces. The contact angle for the uncoated surface decreases with increasing fractional depth of penetration more drastically than that for the coated surface. For the effect of surface roughness on the contact angle of the droplet, the oleophilic surface gives lower contact angle when the surface is rougher, whereas the oleoophobic surface gives higher contact angle with higher roughness To verify the analysis results, the wetting angle was measured in the solid-air-oil interface and solid-water-oil interface for the shark-skin template and shark-skin replica. The effects of teflon coating were also evaluated. It is shown that the simulation results cover the experimental ones.

Pits Role in Embolism Repair of Populus tomentiglandulosa T. Lee

  • Chun, Su-Kyoung;Ahmed, Sheikh Ali
    • 한국가구학회지
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    • 제18권2호
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    • pp.147-151
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    • 2007
  • This report explains the intervessel pit dimension of Populus tomentiglandulosa and its role in embolism repair according to proposed mechanism by Zwieniecki and Holbrook, 2000. It was found that mean contact angle ( ) of water droplets on the inner surface of vessels was $56^{\circ}$. Openings into the bordered pits were typically elliptical. The angle of the bordered pit chamber ($2{\alpha}$) was found $142.17^{\circ}$. From the capillary equation $Pmax\;=\;Gcos\;(\;+{\alpha})$, it was found that mathematically the maximum pressure 0.08MPa created by pits, can be employed to force the air within the embolized vessel into solution.

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Mechanics of lipid membranes subjected to boundary excitations and an elliptic substrate interactions

  • Kim, Chun Il
    • Coupled systems mechanics
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    • 제6권2호
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    • pp.141-155
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    • 2017
  • We present relatively simple derivations of the Helfrich energy potential that has been widely adopted in the analysis of lipid membranes without detailed explanations. Through the energy variation methods (within the limit of Helfrich energy potential), we obtained series of analytical solutions in the case when the lipid membranes are excited through their edges. These affordable solutions can be readily applied in the related membrane experiments. In particular, it is shown that, in case of an elliptic cross section of a rigid substrate differing slightly from a circle and subjected to the incremental deformations, exact analytical expressions describing deformed configurations of lipid membranes can be obtained without the extensive use of Mathieu's function.