• Title/Summary/Keyword: Plane Rotation

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Strong Orientation Anchoring and Shear Flow of a Nematic Liquid Crystal

  • Won Hee HAN
    • International journal of advanced smart convergence
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    • v.13 no.2
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    • pp.103-109
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    • 2024
  • A nonlinear numerical analysis of orientation and velocity fields of the full Ericksen-Leslie theory for a nematic liquid crystal under shear flow is given. We obtained for the first time the three-dimensional orientation and two component velocity profiles evolutions for both in- and out-of-shear plane orientation anchorings. Complex evolution routes to steady state were found even for shear aligning nematic. As the Ericksen number increases monotonic evolution of velocity and orientation shifts towards multi-region nucleating director rotation growth with complex secondary flow generations. We found that contrary to the in-shear-plane anchorings like homeotropic or parallel anchorings, binormal anchoring gives rise to substantial non-planar three-dimensional orientation with nonzero secondary flow.

Synthesis and Properties of New Aromatic Polyimides for IPS-mode

  • Kim, Y.B.;Park, J.C.;Park, D.J.;Son, K.C.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.792-795
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    • 2006
  • In-plane-switching (IPS)-mode LCD is one of the most useful technologies for a broad range of viewing angles. To apply for IPS-LCDs, we synthesized novel homogeneous alignment materials, changing dianhydrides (BTDA and BPDA) and bridged diamines (ODA and PACM). We measured their pre-tilt angles using the crystal rotation method with positive LC and their surface properties.

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Application of Tensor Theory to Pulse Sequences

  • 정관진
    • Proceedings of the KSMRM Conference
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    • 2001.11a
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    • pp.57-63
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    • 2001
  • Tensor 하면 최근 3D로 white matter내의 섬유질을 멋있게 그려내는 diffusion tensor를 연상합니다. 하지만 여기서 다룰 tensor는 수학적 연산자(operator)입니다. NMR 혹은 MRI에서 스핀을 vector로 표시하고, 이 vector 스핀이 90도 rf pulse에 의해서 z축에서 x-y Plane으로 rotation되는 것을 vector diagram으로 나타냅니다. 그런데 이 vector notation으로는 스핀에 일어나는 여러 현상들을 수식적으로 모델 하는데 한계가 있습니다. 그래서 도입된 모델이 product operator와 tensor operator입니다 (1, 2, 3). 한 예로 우리가 다루는 proton NMR 신호가 single quantum인데 23Na 등에는 multiple quantum 신호가 생기게 되며 이는 vector로는 나타낼 수가 없으며 tensor로 분석이 가능합니다 (4, 5).

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A Study on the Coupled Vibration of Train wheel and Rail Dynamic Chaacteristics of Train Wheel with the Stepped Thickness (차륜과 철로의 연성진동에 관한 연구)

  • 김광식;박문태
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.142-144
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    • 1986
  • The research was conducted for the purpose of examining the dynamic characteristics of train wheel at the running state and preventing the vibrations of the high speed railway. The stress at the boundary surface of web and rim, .sigma./sub c/, was analyzed in consideration of the uniform In-plane compressive stress depending on the conditions of rolling and the rotation of train wheel. Then the equation of transverse vibration of the annular plate with the stepped thickness was analyzed by Rayleigh-Ritz's method.

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A Study on High Voltage and High Current Measurement using Laser (레이저에 의한 고전압 및 대전류 측정에 관한 연구)

  • Gang, Hyeong-Bu;Jeong, Un-Gwan;Jang, Yong-Mu;Choe, Seung-Gil;Sim, Jae-Hak
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.769-770
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    • 1988
  • The Pockel's effect is well know as a voltage measurement method. This method is applicable to high voltage measurement equipments. We observe the Faraday rotation of the polarization plane in the current-induced magnetic field.

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Observation of Supersymmetry in Rigid Symmetric Top Rotor

  • Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • v.27 no.4
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    • pp.515-518
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    • 2006
  • It is explicitly shown that a supersymmetry structure exists in the spectrum of a rigid symmetric top rotor in the molecule-fixed frame. Using projection operators constructed from the time-reversal symmetry of the rotor, the full rotor Hamiltonian is separated into two parts, i.e., the bosonic and fermionic components. The construction, without ambiguity, suggests that the rotor has a supersymmetry in it. This supersymmetry is mathematically equivalent to that of the free rotor on a plane recently noted by Rau.

The Effect of Link Length Variation on the Workspace of a Robot Arm (로봇 링크길이의 변화가 작업공간에 미치는 영향)

  • Choe, Byeong-O
    • 연구논문집
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    • s.24
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    • pp.13-26
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    • 1994
  • The choice of design parameters for a robot arm depends on the desired workspace, load lifting capacity, application requirements, and the performance of the robot. The inverse process, which is the determination of a single robot's workspace for a given specification is also a common practice and is as important to the designers as it is to the users. Based on the geometric influence coefficients, the workspace areas on the vertical Y-Z plane are investigated and calculated. Using these areas, the effects of link parameters, link length ratios and joint rotation angles, are investigated.

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Vibration frequencies for elliptical and semi-elliptical Mindlin plates

  • Wang, C.M.;Xiang, Y.;Kitipornchai, S.
    • Structural Engineering and Mechanics
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    • v.3 no.1
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    • pp.35-48
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    • 1995
  • This paper presents new frequency results for elliptical and semi-elliptical Mindlin plates of various aspect ratios, thicknesses and boundary conditions. The results were obtained using the recently developed computerized Rayleigh-Ritz method for thick plate analysis. For simply supported elliptical plates, it is proposed that the penalty function method be used to enforce the condition of zero rotation of the midplane normal in the tangent plane to the plate boundary.

The Geometrical Analysis of Vibration Modes and Frequency Responses of an Elastically Suspended Optical Disc Drive (탄성적으로 지지된 광디스크 드라이버의 진동모드와 주파수 응답의 기하적 해석)

  • Dan, Byeong-Ju;Choe, Yong-Je
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.2 s.173
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    • pp.362-369
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    • 2000
  • Via screw theory, a vibration mode can be geometrically interpreted as a pure rotation about the vibration center in a plane and as a twisting motion on a screw in a three dimensional space. In thi s paper, applying the conditions that can be used to diagonalize the stiffness matrix by a parallel axis congruence transformation, the vibration modes and frequency response of an elastically suspended optical disc drive have been analyzed. It is first shown that the system has one plane of symmetry, which enables one to decouple the complicated vibration modes into two sets of modes independent of each other. Having obtained the analytical solutions for the axes of vibrations, the frequency response for a given applied input force has been demonstrated. Most importantly, it has been explained that this research result could be used in the synthesis process of a linear vibration system in order to improve the frequency response.

Analytical Study on Behaviour of Plane Steel Frame with Semi-Rigid Beam-to-Column Connection (반강접 접합부를 갖는 평면 강골조의 거동에 관한 해석적 연구)

  • Kim, Jong Sung
    • Journal of Korean Society of Steel Construction
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    • v.21 no.5
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    • pp.483-492
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    • 2009
  • In this study, nonlinear analysis of steel plane frame was performed using the refined plastic hinge method of advanced analysis techniques. In deterioration of stiffness in plastic zone, influences by flexural bending, residual stress, geometrical non-linearity, and semi-rigid connection are considered. And also, further reduced tangent modulus was used for geometrical non-linearity, top and seat angle were chosen for semi-rigid connection. Furthermore, 3 parameter power model was used for moment-rotation behaviour of beam to column connection. The loading conditions are combined with axial and lateral force and the inverse triangle distribution of lateral and eight type of analytical models were used in analysis. The results of analyses were compared with semi-rigid and rigid connection on behaviour of numerical analysis models. And also, the behaviors of frame with changes of semi-rigidity were analyzed by using the results obtained from MIIDAS-GENw.