• 제목/요약/키워드: tangential field

검색결과 212건 처리시간 0.025초

CONFORMAL VECTOR FIELDS AND TOTALLY UMBILIC HYPERSURFACES

  • Kim, Dong-Soo;Kim, Seon-Bu;Kim, Young-Ho;Park, Seong-Hee
    • 대한수학회보
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    • 제39권4호
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    • pp.671-680
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    • 2002
  • In this article, we show that if a semi-Riemannian space form carries a conformal vector field V of which the tangential part $V^T$ on a connected hypersurface $M^N$ ecomes a conformal vector field and the normal part $V^N on $M^N$ does not vanish identically, then $M^N$ is totally umbilic. Furthermore, we give a complete description of conformal vector fields on semi-Riemannian space forms.

BOR 구조 완전도체의 해석 (Analysis of Perfectly Conducting Body of Revolution)

  • 이직열;정구철
    • 한국통신학회논문지
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    • 제19권2호
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    • pp.225-230
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    • 1994
  • 전자장 해석을 위한 많은 수식들이 전계형 적분방정식으로 수식화되어 여러 가지 수치적인 방법으로 해석되어진다. 일반적으로 이 식은 특이점을 갖는 Kernel로 표현되어지며, 주어진 문제에 따라 식이 간략화 되어지지 않으면 해석시 수직과 프로그램이 복잡하여진다. 본 논문에서는 BOR구조의 도체에 적용할 수 있는 새로운 적분방정식을유도하였으며, 이 식은 직선형 wire도체의 경우에 더욱 간략화 되어진다. 동축선로로 급전되어지는 monopole안테나와 임의의 각도로 입사하는 평면파에 의한 도체의 산란문제를 응용예로서 다루었다.

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압자와의 미끄럼 접촉에 의한 취성재료의 응력분포 및 변형에 관한 연구 (Stress Fields and Deformation Caused by Sliding Indentaion of Brittle Materials)

  • 안유민
    • Tribology and Lubricants
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    • 제10권3호
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    • pp.62-70
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    • 1994
  • An analytical model of the stress field caused by sliding indentation of brittle materials is developed. The complete stress field is treated as the superposition of applied normal and tangential forces with a sliding blister approximation of the localized inelastic deformation occuring just underneath the indenter. It is shown that lateral cracking is produced by the sliding blister stress field and that median cracking is caused by the applied contact forces. The model is combined with an experimental volume change measurements to show that the relative magnitude of tensile stresses governing lateral crack and median crack growth varies with the magnitude of the applied load. This prediction is consistent with the different regimes of experimentally observed cracking in soda-lime glass.

비축대칭 H-형 및 U-형상의 압출금형 곡면의 자동생성 (Automatic Surface Generation for Extrusion Die of Non-symmetric H-and U-shaped sections)

  • 유동진;임종훈;양동열
    • 소성∙가공
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    • 제12권6호
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    • pp.572-581
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    • 2003
  • In this paper, an automatic surface construction method based on B-spline surface and scalar field theory is proposed to generate the extrusion die surface of non-symmetric H-and U-shaped sections. The isothermal lines and stream lines designed in the scalar field are introduced to find the control points which are used in constructing B-spline surfaces. Intersected points between the isothermal lines and stream lines are used to construct B-spline surfaces. The inlet and outlet profiles are precisely described with B-spline curves by using the centripetal method for uniform parameterization. The extrusion die surface is generated by using the cubic curve interpolation in the u-and v-directions. A quantitative measure for the control of surface is suggested by introducing the tangential vectors at the inlet and outlet sections. To verify the validity of the proposed method, automatic surface generation is carried out for extrusion die of non-symmetric H-and U-shaped sections.

Implementation of the modified compression field theory in a tangent stiffness-based finite element formulation

  • Aquino, Wilkins;Erdem, Ibrahim
    • Steel and Composite Structures
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    • 제7권4호
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    • pp.263-278
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    • 2007
  • A finite element implementation of the modified compression field theory (MCFT) using a tangential formulation is presented in this work. Previous work reported on implementations of MCFT has concentrated mainly on secant formulations. This work describes details of the implementation of a modular algorithmic structure of a reinforced concrete constitutive model in nonlinear finite element schemes that use a Jacobian matrix in the solution of the nonlinear system of algebraic equations. The implementation was verified and validated using experimental and analytical data reported in the literature. The developed algorithm, which converges accurately and quickly, can be easily implemented in any finite element code.

고속철도 구간 방음벽 상단 형상에 의한 음장 해석 및 효과 (Effectivness and Sound Field Analysis of Top Sections of Noise Barriers for High-speed Railway Lines)

  • 고효인;한환수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.135-138
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    • 2005
  • On the basis of theoretical studies on the effect of the cylinders attached to semi-infinite screens, the effect of the tangential sound power-transport along the cylindrical top section of noise barriers is studied. Four types of acoustical mechanism between the surface of the cylinder and the adjacent air particles are investigated, namely Z $\rightarrow$ $\infty$, Z $\rightarrow$ pc, Z $\rightarrow$ 0 and actively controlled surface sound field. In active control case the sound power parallel to the surface of the attached cylinder is minimized by means of a secondary sound field, which is generated from a part of the attached cylinder. In each case the change in the acoustical shadow zone was shown and compared. The numerical study shows the possibility of deflecting the incident sound by minimizing the acoustical surface impedance of the upper sections.

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Efficient electromagnetic boundary conditions to accelerate optimization of RF devices

  • Cho, Yong-Heui
    • International Journal of Contents
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    • 제7권4호
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    • pp.50-55
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    • 2011
  • To achieve efficient field formulations and fast numerical computations, the reciprocal relations and equivalence between tangential and normal boundary conditions for electromagnetic fields are discussed in terms of the Maxwell's differential equations. Using the equivalence of each boundary condition, we propose the six essential boundary conditions, which may be applicable to matching electromagnetic discontinuities to efficiently design RF devices. In order to verify our approach, the reflection characteristics of a rectangular waveguide step are compared with respect to six essential boundary conditions.

Some Results on Null Hypersurfaces in (LCS)-manifolds

  • Ssekajja, Samuel
    • Kyungpook Mathematical Journal
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    • 제59권4호
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    • pp.783-795
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    • 2019
  • We prove that a Lorentzian concircular structure (LCS)-manifold does not admit any null hypersurface which is tangential or transversal to its characteristic vector field. Due to the above, we focus on its ascreen null hypersurfaces and show that such hypersurfaces admit a symmetric Ricci tensor. Furthermore, we prove that there are no totally geodesic ascreen null hypersurfaces of a conformally flat (LCS)-manifold.

GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD

  • Jin, Dae-Ho
    • 대한수학회논문집
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    • 제27권1호
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    • pp.185-195
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    • 2012
  • We study the geometry of lightlike hypersurfaces M of an inde nite cosymplectic manifold $\bar{M}$ such that either (1) the characterist vector field $\zeta$ of $\bar{M}$ belongs to the screen distribution S(TM) of M or (2) $\zeta$ belongs to the orthogonal complement $S(TM)^{\perp}$ of S(TM) in $T\bar{M}$.