• 제목/요약/키워드: asymptotic plane

검색결과 57건 처리시간 0.025초

세 물체 간 마찰 완전 접촉 문제의 응력 특이성 거동 (Stress Singularity Behaviour in the Frictional Complete Contact Problem of Three Bodies)

  • 김형규
    • Tribology and Lubricants
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    • 제35권4호
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    • pp.229-236
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    • 2019
  • This study investigates the stress singularity that occurs at the contact edge of three bodies in a frictional complete contact. We use the asymptotic analysis method, wherein we constitute an eigenvalue problem and observe the eigenvalue behavior, which we use to obtain the order of the stress singularity. For the present geometry of three bodies in contact, a contact between a cracked indenter and half plane is considered. This is a typical geometry of the PCMI problem of a nuclear fuel rod. Thus, this paper, specifically presents the characteristics of the PCMI problem from the perspective of stress singularity. Consequently, it is noted that the behavior of the stress singularity varies with the difference in the crack angle, coefficient of friction, and material dissimilarity, as is observed in a frictional complete contact of two bodies. In addition, we find that the stress singularity changes essentially linearly with respect to the coefficient of friction, regardless of the variation in the crack angle and material dissimilarity. Concurrently, we find the order of singularity to be 0.5 at a certain coefficient of friction, irrespective of the crack angle, which we also observe in the crack problem of a homogeneous and isotropic body. The order of singularity can also exceed 0.5 in the frictional complete contact problem of three bodies. This implies that the propensity for failure when three bodies are in frictional complete contact can be even worse than that in case of a failure induced by a crack.

특정 사례터널 해석 결과 및 평가

  • 이승래;오세붕;백규호
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1991년도 추계학술발표회 논문집 지반공학에서의 컴퓨터 활용 COMPUTER UTILIZATION IN GEOTECHNICAL ENGINEERING
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    • pp.123-132
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    • 1991
  • The GEOKST program was used to solve the tunnel example problem. The package can solve such geotechnical problem as excavation, embankment, foundations, etc., in which the soil can be modeled by various elastoplastic geomaterial models. The main objective was to consider the effects of excavation depth to the face of the tunnel on the stability of the ground and support system. Depended on the strength of the ground materials, the limit excavation depth without any support system could be established by analyzing three-dimensional excavation problem. In this given example problem, the strengths of the ground materials were enough for the stability of the tunnel without any support system up to fairly deep excavation and the maximum tunnel section displacement was stabilized as the excavation proceed. The asymptotic value was approximately the same as that of the plane strain analysis. Thus, assuming the plain strain condition and simulation the actual excavation procedure, the maximum tunnel section displacement was caculated after final step. The maximum calculated displacement occured at the top section of the tunnel geometry and was about 8mm.

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COSMIC RAY ACCELERATION AT COSMOLOGICAL SHOCKS

  • KANG HYESUNG;JONES T. W.
    • 천문학회지
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    • 제37권5호
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    • pp.405-412
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    • 2004
  • Cosmological shocks form as an inevitable consequence of gravitational collapse during the large scale structure formation and cosmic-rays (CRs) are known to be accelerated at collisionless shocks via diffusive shock acceleration (DSA). We have calculated the evolution of CR modified shocks for a wide range of shock Mach numbers and shock speeds through numerical simulations of DSA in 1D quasi-parallel plane shocks. The simulations include thermal leakage injection of seed CRs, as well as pre-existing, upstream CR populations. Bohm-like diffusion is assumed. We show that CR modified shocks evolve to time-asymptotic states by the time injected particles are accelerated to moderately relativistic energies (p/mc $\ge$ 1), and that two shocks with the same Mach number, but with different shock speeds, evolve qualitatively similarly when the results are presented in terms of a characteristic diffusion length and diffusion time. We find that $10^{-4} - 10^{-3}$ of the particles passed through the shock are accelerated to form the CR population, and the injection rate is higher for shocks with higher Mach number. The CR acceleration efficiency increases with shock Mach number, but it asymptotes to ${\~}50\%$ in high Mach number shocks, regardless of the injection rate and upstream CR pressure. On the other hand, in moderate strength shocks ($M_s {\le} 5$), the pre-existing CRs increase the overall CR energy. We conclude that the CR acceleration at cosmological shocks is efficient enough to lead to significant nonlinear modifications to the shock structures.

참치 선망 어선의 선형개발에 관한 연구 (A Study on the development of Tuna Purse Seiner)

  • 김인철
    • 수산해양기술연구
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    • 제35권3호
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    • pp.335-342
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    • 1999
  • The purpose of present research is to develop and efficient numerical method for the calculation of potential flow and predict the wave-making resistance for the application to ship design of tuna purse seiner. Havelock was considered the wave resistance of a post extending vertically downwards through the water from the surface, its section by a horizontal plane being the same at all depths and having its breadth small compared with its length. This enables us to elucidate certain points of interest in ship resistance. However, the ship has not infinite draft. So, the problem which is investigated ind detail in this paper is the wave resistance of a mathematical quadratic model in a uniform stream. The paper deals with the numerical calculation of potential flow around the series 60 with forward velocity by the new slender ship theory. This new slender ship theory is based on the asymptotic expression of the Kelvin-source, distributed over the small matrix at each transverse section so as to satisfy the approximate hull boundary condition due to the assumption of slender body. The numerical results using the panel shift method and finite difference method are compared with the experimental results for wigley mono hull. There are no differences in the wave resistance. However, it costs much time to compute not only wave resistance but also wave pattern over some range of Froude numbers. More improvements are strongly desired in the numerical procedure.

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Experimental studies on the axisymmetric sphere-wall interaction in Newtonian and non-Newtonian fluids

  • Lee, Sang-Wang;Sohn, Sun-Mo;Ryu, Seung-Hee;Kim, Chongyoup;Song, Ki-Won
    • Korea-Australia Rheology Journal
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    • 제13권3호
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    • pp.141-148
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    • 2001
  • In this research, experimental studies leave been performed on the hydrodynamic interaction between a spherical particle and a plane wall by measuring the force between the particle and wall. To approach the system as a resistance problem, a servo-driving system was set-up by assembling a microstepping motor, a ball screw and a linear motion guide for the particle motion. Glycerin and dilute solution of polyacrylamide in glycerin were used as Newtonian and non-Newtonian fluids, respectively. The polymer solution behaves like a Boger fluid when the concentration is 1,000 ppm or less. The experimental results were compared with the asymptotic solution of Stokes equation. The result shows that fluid inertia plays all important role in the particle-wall interaction in Newtonian fluid. This implies that the motion of two particles in suspension is not reversible even in Newtonian fluid. In non-Newtonian fluid, normal stress difference and viscoelasticity play important roles as expected. In the dilute solution weak shear thinning and the migration of polymer molecules in the inhomogeneous flow field also affect the physic of the problem.

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쇄기형 유전체의 양면에 평면파 입사시 다극전개를 이용한 회절패턴 계산 (Calculation of Diffraction Patterns for Incidence of Planewave on Both Sides of a Dielectric Wedge by Using Multipole Expansion)

  • 김세윤;나정웅;신상영
    • 대한전자공학회논문지
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    • 제26권4호
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    • pp.16-26
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    • 1989
  • 임의의 각을 가진 쇄기형 유전체의양 경계면을 E-편파된 평면화가 입사할 경우 발생하는 전자파의 회절패턴을 기하광학해와 모서리회절파의 합으로 표시하였다. 모서리 회절파의 회절계수는 물리광학근사로 구한 회절계수를 모서리 끝에 분포한 다극선전원으로 수정하여 구하였다. 쇄기각 $120^{circ}$, 입사각 $60^{circ}$ 인 유전체의 비전율을 2, 5, 10으로 변화시키고, 측정거리도 모서리 끝점으로 부터 5와 10파장인 경우에 대해 기하광학해와, 물리광학해, 다극선전원으로 교정한 수정해 순으로 각각의 회절패턴을 그림으로 나타내었다. 본 논문에서 구한 수정해는 모서리 끝점으로 부터 멀리 떨어진 곳에서만 유용한 점근해임을 알 수 있으나, 유전체 경계면에서 경계조건을 만족함을 보였다.

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Perturbation 효과를 이용한 원형 마이크로스트립 안테나의 소형화 (Miniaturization of Circular Microstrip Antenna Using the Perturbation Effect)

  • 류미라;허정;우종명
    • 한국전자파학회논문지
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    • 제17권7호
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    • pp.605-614
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    • 2006
  • 본 논문에서는 설계 주파수인 1.575 GHz 에서 동작하는 마이크로스트립 안테나의 패치 크기 ( 공진 길이 )를 줄이기 위하여 패치의 양단 끝부분을 음각으로 구성하여 perturbation 효과를 적용한 3 차원 구조의 모자형 원형 마이크로스트립 안테나를 고안 및 설계하였다. 그 결과 반사 손실 - 26.59 dB, -10 dB 대역폭 65 MHz(4.13 %), 이득 4.66 dBd, - 3 dB 빔폭 E, H-면 각각 $79^{\circ},\;87^{\circ}$의 특성을 나타내었으며, 안테나 직경은 85 mm로 평면형의 97 mm에 비해 12 mm(12.4 %) 단축되어 23.2 %의 면적 축소율을 얻었다. 또한 패치의 크기를 더욱 소형화시키기 위하여 최적화시킨 양각 대 음각의 비와 점근선 각도를 조정하여 설계 주파수에서 동작하는 선형 편파 및 원형 편파 야구공형 원형 마이크로스트립 안테나를 설계 및 제작하였다. 선형 편파의 경우, 패치 직경은 74 mm로 평면형에 비해 41.8 %의 면적 축소율을 얻었으며, 원편파의 경우, 패치 직경이 82 mm로 평면형 선형 편파에 비해 28.5 %의 면적 축소율을 얻었다. 이로써 원형 마이크로스트립 안테나의 소형화에 perturbation 효과 적용이 유효함을 확인하였다.