• Structural Engineering and Mechanics
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• 제18권5호
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• pp.671-690
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• 2004

An assumed strain finite strip method(FSM) using the non-periodic B-spline for a shell is presented. In the present method, the shape function based on the non-periodic B-splines satisfies the Kronecker delta properties at the boundaries and allows to introduce interior supports in much the same way as in a conventional finite element formulation. In the formulation for a shell, the geometry of the shell is defined by non-periodic B3-splines without any tangential vectors at the ends and the penalty function method is used to incorporate the drilling degrees of freedom. In this study, new assumed strain fields using the non-periodic B-spline function are proposed to overcome the locking problems. The strip formulated in this way does not posses any spurious zero energy modes. The versatility and accuracy of the new approach are demonstrated through a series of numerical examples.

• Tribology and Lubricants
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• 제15권1호
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• pp.17-23
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• 1999

A Gerotor hydraulic motor is a planar mechanism consisting of a pair of rotors one of which encloses another rotor. The motion of the inner-rotor relative to the outer-rotor is produced by the pressure difference between the adjacent chambers. A design method of inner-rotor tooth profile using unit tangential vectors is presented in this work. Based on the relationships derived, the influence of the eccentricity of inner-rotor and the radius of circular arc tooth on the flow rate, torque and curvatures were investigated. It was shown that the flow rate and mean torque is proportional to eccentricity, but inversely proportional to the radius of circular arc teeth. Also, the maximum value of the equivalent curvature is increased as the eccentricity and the radius of circular arc teeth increased.

• 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.

• 한국수학사학회지
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• 제27권6호
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• pp.395-402
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• 2014

When the circle inscribed in a square is projected to a picture plane, one sees, in general, an ellipse in a convex quadrilateral. This ellipse is poorly described in the works of Alberti and Durer. There are one parameter family of ellipses inscribed in a convex quadrilateral. Among them only one ellipse is the perspective image of the circle inscribed in the square. We call this ellipse "the projected ellipse." One can easily find the four tangential points of the projected ellipse and the quadrilateral. Then we show how to find the center of the projected ellipse. Finally, we describe a pair of conjugate vectors for the projected ellipse, which finishes the construction of the desired ellipse. Using this algorithm, one can draw the perspective image of the squared-circle tiling.

• 소성∙가공
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• 제13권1호
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• pp.33-38
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• 2004

A new approach for the design of extrusion die surface of arbitrarily shaped section is presented. In order to generate the extrusion die surface. an automatic surface construction method based on B-spline surface and scalar field theory is proposed. 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 and effectiveness of the proposed method, automatic surface generation is carried out for extrusion dies of arbitrarily shaped sections.

• Structural Engineering and Mechanics
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• 제18권2호
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• pp.247-262
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• 2004

In the earlier application of the spline finite strip method(FSM), the uniform B3-spline functions were used in the longitudinal direction while the conventional interpolation functions were used in the transverse direction to construct the displacement filed in a strip. To overcome the shortcoming of the uniform B3-spline, non-periodic B-spline was developed as the displacement function. The use of non-periodic B3-spline function requires no tangential vectors at both ends to interpolate the geometry of shell and the Kronecker delta property is also satisfied at the end boundaries. Recently, non-periodic spline FSM which was modified to have a multiple knots at the boundary was developed for the shell analysis and applied to the analysis of bridges. In the formulation of a non-symmetric spline finite strip method, the concepts of non-periodic B3-spline and a stress-resultant finite strip with drilling degrees of freedom for a shell are used. The introduction of non-symmetrically spaced knots in the longitudinal direction allows the selective local refinement to improve the accuracy of solution at the connections or at the location of concentrated load. A number of numerical tests were performed to prove the accuracy and efficiency of the present study.

• Progress in Superconductivity
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• 제5권2호
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• pp.98-104
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• 2004

We analyzed a noise-sensitivity profile of a specific SQUID sensor system for the localization of brain activity. The location of a neuromagnetic current source is estimated from the recording of spatially distributed SQUID sensors. According to the specific arrangement of the sensors, each site in the source space has different sensitivity, that is, the difference in the lead field vectors. Conversely, channel noises on each sensor will give a different amount of the estimation error to each of the source sites. e.g., a distant source site from the sensor system has a small lead-field vector in magnitude and low sensitivity. However, when we solve the inverse problem from the recorded sensor data, we use the inverse of the lead-field vector that is rather large, which results in an overestimated noise power on the site. Especially, the spatial sensitivity profile of a gradiometer system measuring tangential fields is much more complex than a radial magnetometer system. This is one of the causes to make the solutions of inverse problems unstable on intervening of the sensor noise. In this study, in order to improve the localization accuracy, we calculated the noise-sensitivity profile of our 40-channel planar SQUID gradiometer system, and applied it as a normalization weight factor to the source localization using synthetic aperture magnetometry.

• 전자공학회논문지
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• 제50권11호
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• pp.28-35
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• 2013

Krylov-Schur 반복법을 활용하여 2-차원 사각 도파관에서 나타나는 고유특성을 밝혔다. 고유 행렬 방정식은 삼각형 그물 요소의 접선을 기저벡터로 사용한 FEM(유한요소법)으로 구성하였다. 우선 Arnoldi 분해법을 이용하여 이 방정식에 대한 상위 Hessenberg 행렬을 구하였다. 그리고 QR 알골리즘을 통하여 이것을 삼각형 대각 행렬인 Shur 형태로 변형하였다. 수렴 조건에 부합된 몇몇 고유 값들이 삼각형 대각 행렬의 대각 요소에 나타났다. 이들에 대응하는 고유 모드들을 역-반복법으로 구하였다. 수렴조건에 부합되는 고유 값들은 Shur 행렬의 대각선 선두 부분으로 재배열시켰다. 이들은 나머지 고유값 및 고유모드의 쌍을 구하는 반복 과정에서 변형되지 않도록 배제되었다. 이 과정이 연속하여 서너 번 반복되었는데, 그 결과 충분한 신뢰도를 갖는 주요한 몇 개의 TM 및 TE 고유 쌍들이 구하여졌다.

• 한국정보처리학회논문지
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• 제1권4호
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• pp.531-540
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• 1994

스플라인 함수는 결과적으로 생성되는 커프모양에 의해 캐드 상에서 물체의 외형 을 설계할 수 있게 하는 가장 기본적인 도구이고, 따라서 새롭게 효율적인 커프 모양 의 개발은 산업 설계 분야 전반에 직접적인야 영향을 줄 수 있다. 본 논문은 더욱 다 양하고 자유로운 커브 모양을 만들기 위하여 시각적으로 연속인 부류의 스플라인 함 수를 그리기 위한 도구를 설계하고 구현한다. 이 부류의 스플라인은 기존 스플라인에 비해 자유자재의 다양한 모양을 생성함과 동시에 일반적인 카디날 스플라인이 갖는 보간성을 아울러 갖고 있다는 점이다. 본 논문의 가장 큰 중요성은 매개변수의 스칼라 수치값을 제시하던 기존 G$^1$ 커브 구현방식에서 벗어나, 사용자가 시각적인 벡터를 사 용하여 접선의 모양을 지정케하고 그 결과를 커브 생성을 위한 매개변수로 변형시킬 수 있는 공식을 유도하고 구현한 점이다. 생성된 결과 커브자체가 원래 지정된 접선 에 충실하게 되므로, 캐드 사용자의 입장에서는 설계하고자하는 커브의 개형을 시각화 시킨 접선의 모양에만 치중할 수 있는, 단순한 인터페이스가 가능하게 된다. 따라서, 설계자의 입장에서는 본 논문에 구현된 스플라인 도구를 사용한다면 마우스와 같은 간 단한 입력장비만으로도 다양하고 효과적인 커브 모양을 생산할 수 있다.

• 한국정보통신학회논문지
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• 제19권2호
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• pp.336-342
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• 2015

넘어짐은 노인이나 산업현장에서 일하는 사람들에게 심각한 부상을 일으키는 원인이 되기 때문에 센서를 사용하여 넘어짐을 판단하고자 하는 연구가 활발히 진행되고 있다. 최근 들어 스마트폰의 보급이 일반화 되면서 스마트 폰에 내장된 센서를 사용하여 넘어짐을 판단하는 방법이 연구되고 있다. 가속도 센서에서 추출된 가속도벡터의 변화량을 분석하면 넘어짐은 어렵지 않게 판단할 수 있지만, 넘어지는 방향을 판단하기 위해서는 가속도벡터의 크기의 변화나 방향으로의 변화로 판단하기 어렵다. 일반적으로 가속도 벡터의 방향은 물체의 움직임의 방향을 의미하지 않기 때문이다. 한편, 속도 벡터는 물체가 움직이는 방향의 접선방향으로 나타나는 성질을 사용하여 넘어지는 방향을 판단하는 방법을 제안하였다.