• 제목/요약/키워드: curvature equation

검색결과 263건 처리시간 0.028초

노즐 형상에 따른 전기수력학 프린팅의 실험적 연구 (The Experimental Study of EHD Printing for Different Nozzle Shapes)

  • 김지영;부닷귀엔;변도영
    • 한국가시화정보학회지
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    • 제9권2호
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    • pp.48-53
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    • 2011
  • The shape of nozzle cross-section plays an important role in stabilizing electrospray jet. The angle of contact line is governed based on the famous Young-Laplace equation. Compared to a round nozzle that has a constant curvature along the orifice, the square nozzle has four square corner edges and four straight edges that hold the meniscus in a different manner and is of interest in this study. By utilizing both square and round capillary nozzle, we examine the effect of nozzle shape in electrohydrodynamic jetting. The ejections were recorded with a high speed camera and analyzed to examine the jetting repeatability based on dynamic movement of meniscus. The result suggests that if the corner edges are not sharp, then its effect on repeatability is also limited.

연식방향의 가속도를 고려한 장파의 변형해석 (Transformation of Long Waves with Vertical Acceleration)

  • 여운광
    • 한국해안해양공학회지
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    • 제2권2호
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    • pp.112-117
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    • 1990
  • 수면경사가 크거나 수심이 급격하게 변하는 지형에서는 유선의 굴곡으로 인한 연직방향의 가속도가 생겨 정수압과 다른 압력분포를 나타낸다. 따라서 이 경우 이들의 경향을 고려한 Boussinesq식을 사용해야 한다. 여러 가지 방법에 의하여 식을 얻을 수 있으나 여기서는 난류해석을 위한 평균류의 개념을 도입하여 유사한 식을 유도하였으며 기존의 식들과 비교하였다. 또한 실제 수치해석에 의하여 해를 구하고 Boussinesq항의 영향을 검토하였다.

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COSMIC RAY ACCELERATION AT BLAST WAVES FROM TYPE Ia SUPERNOVAE

  • Kang, Hye-Sung
    • 천문학회지
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    • 제39권4호
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    • pp.95-105
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    • 2006
  • We have calculated the cosmic ray(CR) acceleration at young remnants from Type Ia supernovae expanding into a uniform interstellar medium(ISM). Adopting quasi-parallel magnetic fields, gasdynamic equations and the diffusion convection equation for the particle distribution function are solved in a comoving spherical grid which expands with the shock. Bohm-type diffusion due to self-excited $Alfv\acute{e}n$ waves, drift and dissipation of these waves in the precursor and thermal leakage injection were included. With magnetic fields amplified by the CR streaming instability, the particle energy can reach up to $10^{16}Z$ eV at young supernova remnants(SNRs) of several thousand years old. The fraction of the explosion energy transferred to the CR component asymptotes to 40-50 % by that time. For a typical SNR in a warm ISM, the accelerated CR energy spectrum should exhibit a concave curvature with the power-law slope flattening from 2 to 1.6 at $E{\gtrsim}0.1$ TeV.

압축하중을 받는 다층간분리 적층 복합 보-기둥의 자유진동 (Free Vibration of Compressed Laminated Composite Beam-Columns with Multiple Delaminations)

  • 이성희;박대효;백재욱;한병기
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.501-508
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    • 2001
  • Free vibration analysis of multi-delaminated composite beam-columns subjected to axial compression load is performed in the present study. In order to investigate the effects of multi-delaminations on the natural frequency and elastic buckling load of multi-delaminated beam-columns, the general kinematic continuity conditions are derived from the assumption of constant slope and curvature at the multi-delamination tip. Characteristic equation of multi-delaminated beam-column is obtained by dividing the global multi-delaminated beam-columns into segments and by imposing recurrence relation from the continuity conditions on each sub-beam-column. The natural frequency and elastic buckling load of multi-delaminated beam-columns according to the incremental load of axial compression, which is limited to the maximum elastic buckling load of sound laminated beam-column, are obtained. It is found that the sizes, locations and numbers of multi-delaminations have significant effect on natural frequency and elastic buckling load, especially the latter ones.

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A MULTI-DIMENSIONAL MAGNETOHYDRODYNAMIC CODE IN CYLINDRICAL GEOMETRY

  • Ryu, Dong-Su;Yun, Hong-Sik;Choe, Seung-Urn
    • 천문학회지
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    • 제28권2호
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    • pp.223-243
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    • 1995
  • We describe the implementation of a multi-dimensional numerical code to solve the equations for idea! magnetohydrodynamics (MHD) in cylindrical geometry. It is based on an explicit finite difference scheme on an Eulerian grid, called the Total Variation Diminishing (TVD) scheme, which is a second-order-accurate extension of the Roe-type upwind scheme. Multiple spatial dimensions are treated through a Strang-type operator splitting. Curvature and source terms are included in a way to insure the formal accuracy of the code to be second order. The constraint of a divergence-free magnetic field is enforced exactly by adding a correction, which involves solving a Poisson equation. The Fourier Analysis and Cyclic Reduction (FACR) method is employed to solve it. Results from a set of tests show that the code handles flows in cylindrical geometry successfully and resolves strong shocks within two to four computational cells. The advantages and limitations of the code are discussed.

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Nonlinear flexural vibration of shear deformable functionally graded spherical shell panel

  • Kar, Vishesh R.;Panda, Subrata K.
    • Steel and Composite Structures
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    • 제18권3호
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    • pp.693-709
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    • 2015
  • In this article, nonlinear free vibration behaviour of functionally graded spherical panel is analysed. A nonlinear mathematical model is developed based on higher order shear deformation theory for shallow shell by taking Green-Lagrange type of nonlinear kinematics. The material properties of functionally graded material are assumed to be varying continuously in transverse direction and evaluated using Voigt micromechanical model in conjunction with power-law distribution. The governing equation of the shell panel is obtained using Hamilton's principle and discretised with the help of nonlinear finite element method. The desired responses are evaluated through a direct iterative method. The present model has been validated by comparing the frequency ratio (nonlinear frequency to linear frequency) with those available published literatures. Finally, the effect of geometrical parameters (curvature ratio, thickness ratio, aspect ratio and support condition), power law indices and amplitude of vibration on the frequency ratios of spherical panel have been discussed through numerical experimentations.

곡선 교량과 AGT 차량의 상호작용에 의한 동적 응답 해석 (Dynamic Response Analysis of Curved Bridge-AGT Vehicle Interaction System)

  • 이안호;송재필;김기봉
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(I)
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    • pp.721-726
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    • 2002
  • The topic on today is dynamic response analysis of curved bridge-AGT(Automated Guide-way Transit) vehicle interaction system. Rubber wheel type AGT vehicle is adopted in this study, and the vehicle is idealized as three dimensional eleven DOF model. Three types of composited steel box girder bridges are modelized with F.E. method. And three types of artificially generated surface roughnesses are adopted for analysis. The dynamic equations of curved bridge, AGT vehicle and surface roughness are derived by using Lagrange's equation of motion. And the equations are solved by Newmark-${\beta}$ method. As a result, The dynamic increasement factor is inverse proportional to radius curvature.

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원기둥 압축 시험을 통한 소재의 물성치 평가에 관한 연구 (A Study on the Determination of Material Property by Cylinder Compression Test)

  • 차도성;최홍석;김낙수
    • 대한기계학회논문집A
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    • 제30권9호
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    • pp.1049-1061
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    • 2006
  • In the study, the flow stress of material and friction condition were determined by using the cylinder compression test and numerical method. We proposed the flow stress equation including the initial yield strength to predict it from the upper bound method. The upper bound technique uses the velocity field which includes two unknowns to effectively express bulging. Also, inverse engineering technique uses the object function to minimize area enclosed by load-stroke curve. The friction factor is determined from the radius of curvature of the barrel by cylinder compression test. Flow stress and initial yield strength predicted from the above techniques are verified through the finite element simulation.

검색효율 측정척도에 관한 연구 (A Study on measuring techniques of retrieval effectiveness)

  • 윤구호
    • 한국문헌정보학회지
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    • 제16권
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    • pp.177-205
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    • 1989
  • Retrieval effectiveness is the principal criteria for measuring the performance of an information retrieval system. This paper deals with the characteristics of 'relevance' of information and various measuring techniques of retrieval effectivess. The outlines of this study are as follows: 1) Relevance decision for evaluation should be devided into the user-oriented and the system-oriented decisions. 2) The recall-precision measure seems to be user-oriented, and the recall-fallout measure to be system-oriented. 3) Many of composite measures can not be justified III any rational manner unfortunately. 4) The Swets model has demonstrated that it yields, in general, a straight line instead of a curve of varying curvature and emphasized the fundamentally probabilistic nature of information retrieval. 5) The Cooper model seems to be a good substitute for precision and a useful measure for systems which ranked documents. 6) The Rocchio model were proposed for the evaluation of retreval systems which ranked documents, and were designed to be independent of cut-off. 7) The Cawkell model suggested that the Shannon's equation for entropy can be applied to measuring of retrieval effectiveness.

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THE ${\bar{\partial}}$-PROBLEM WITH SUPPORT CONDITIONS AND PSEUDOCONVEXITY OF GENERAL ORDER IN KÄHLER MANIFOLDS

  • Saber, Sayed
    • 대한수학회지
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    • 제53권6호
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    • pp.1211-1223
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    • 2016
  • Let M be an n-dimensional $K{\ddot{a}}hler$ manifold with positive holomorphic bisectional curvature and let ${\Omega}{\Subset}M$ be a pseudoconvex domain of order $n-q$, $1{\leq}q{\leq}n$, with $C^2$ smooth boundary. Then, we study the (weighted) $\bar{\partial}$-equation with support conditions in ${\Omega}$ and the closed range property of ${\bar{\partial}}$ on ${\Omega}$. Applications to the ${\bar{\partial}}$-closed extensions from the boundary are given. In particular, for q = 1, we prove that there exists a number ${\ell}_0$ > 0 such that the ${\bar{\partial}}$-Neumann problem and the Bergman projection are regular in the Sobolev space $W^{\ell}({\Omega})$ for ${\ell}$ < ${\ell}_0$.