• 제목/요약/키워드: Fundamental Coordinates

검색결과 71건 처리시간 0.023초

LINEAR CONNECTIONS IN THE BUNDLE OF LINEAR FRAMES

  • Park, Joon-Sik
    • 충청수학회지
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    • 제25권4호
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    • pp.731-738
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    • 2012
  • Let L(M) be the bundle of all linear frames over $M,\;u$ an arbitrarily given point of L(M), and ${\nabla}\;:\;\mathfrak{X}(M)\;{\times}\;\mathfrak{X}(M)\;\rightarrow\;\mathfrak{X}(M)$ a linear connection on L(M). Then the following results are well known: the horizontal subspace and the connection form at the point $u$ may be written in terms of local coordinates of $u\;{\epsilon}\;L(M)$ and Christoffel's symbols defined by $\nabla$. These results are very fundamental on the study of the theory of connections. In this paper we show that the local expressions of those at the point $u$ do not depend on the choice of a local coordinate system around the point $u\;{\epsilon}\;L(M)$, which is rarely seen. Moreover we give full explanations for the following fact: the covariant derivative on M which is defined by the parallelism on L(M), determined from the connection form above, coincides with $\nabla$.

Vibration and Post-buckling Behavior of Laminated Composite Doubly Curved Shell Structures

  • Kundu, Chinmay Kumar;Han, Jae-Hung
    • Advanced Composite Materials
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    • 제18권1호
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    • pp.21-42
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    • 2009
  • The vibration characteristics of post-buckled laminated composite doubly curved shells are investigated. The finite element method is used for the analysis of post-buckling and free vibration of post-buckled laminated shells. The geometric non-linear finite element model includes the general non-linear terms in the strain-displacement relationships. The shell geometry used in the present formulation is derived using an orthogonal curvilinear coordinate system. Based on the principle of virtual work the non-linear finite element equations are derived. Arc-length method is implemented to capture the load-displacement equilibrium curve. The vibration characteristics of post-buckled shell are performed using tangent stiffness obtained from the converged deflection. The code is first validated and then employed to generate numerical results. Parametric studies are performed to analyze the snapping and vibration characteristics. The relationship between loads and fundamental frequencies and between loads and the corresponding displacements are determined for various parameters such as thickness ratio and shallowness.

원통형 압전 변환기의 반경방향 고유진동 특성 연구 (Characteristics of the Radial Vibration of Cylindrical Piezoelectric Transducers)

  • 황교광;김진오
    • 한국소음진동공학회논문집
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    • 제13권3호
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    • pp.155-163
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    • 2003
  • This paper presents the characteristics of the radial nitration of cylindrical piezoelectric transducers. The differential equations of piezoelectric radial motion have been derived in terms of the radial displacement and electric potential, which are functions of the radial and axial coordinates. Applying mechanical and electrical boundary conditions has yielded the characteristic equation of radial vibration. Numerical results of the natural frequencies have been compared with the experimental observations reported earlier for the transducers of several sizes, and have shown a good agreement for the fundamental mode. The paper discusses the dependence of the natural frequencies on the radius and thickness of the piezoelectric cylinders and the difference between Piezoelectric and elastic resonances.

A STUDY ON DEM GENE]RATON USING POLYNOMIAL CAMERA MODEL IN SATELLITE IMAGERY

  • Jeon, Seung-Hun;Kim, Sung-Chai;Lee, Heung-Jae;Lee, Kae-hei
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2002년도 Proceedings of International Symposium on Remote Sensing
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    • pp.518-523
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    • 2002
  • Nowadays the Rational Function Model (RFM), an abstract sensor model, is substituting physical sensor models for highly complicated imaging geometry. But RFM is algorithm to be required many Ground Control Points (GCP). In case of RFM of the third order, At least forty GCP are required far RFM generation. The purpose of this study is to research more efficient algorithm on GCP and accurate algorithm similar to RFM. The Polynomial Camera Model is relatively accurate and requires a little GCP in comparisons of RFM. This paper introduces how to generate Polynomial Camera Model and fundamental algorithms for construction of 3-D topographic data using the Polynomial Camera Model information in the Kompsat stereo pair and describes how to generate the 3-D ground coordinates by manual matching. Finally we tried to extract height information for the whole image area with the stereo matching technique based on the correlation.

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스테레오비젼을 이용한 3차원 물체 측정 시스템 (3D measuring system by using the stereo vision)

  • 조진연;김기범
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.224-228
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    • 1997
  • Computer vision system become more important as the researches on inspection systems, intelligent robots , diagnostic medical systems is performed actively. In this paper, 3D measuring system is developed by using stereo vision. The relation between left image and right image is obtained by using 8 point algorithm, and fundamental matrix, epipole and 3D reconstruction algorithm are used to measure 3D dimensions. 3D measuring system was developed by Visual Basic, in which 3D coordinates would be obtained by simple mouse clicks. This software would be applied to construction area, home interior system, rapid measuring system.

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원통형 압전 변환기의 방사진동 특성 연구 (Characteristics of the Radial Vibration of Cylindrical Piezoelectric Transducers)

  • 황교광;김진오
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.1202-1209
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    • 2002
  • This paper presents the characteristics of the radial vibration of cylindrical piezoelectric transducers. The differential equations of piezoelectric radial motion have been derived in terms of the radial displacement and electric potential, which are functions of the radial and axial coordinates. Applying mechanical and electrical boundary conditions has yielded the characteristic equation of radial vibration. Numerical results of the natural frequencies have been compared with the experimental observations reported earlier for the transducers of several sizes, and have shown a good agreement for the fundamental mode. The paper discusses the dependence of the natural frequencies on the radius and thickness of the piezoelectric cylinders and the difference between Piezoelectric and elastic resonances

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주택 및 사무용 빌딩 내 전기기기의 전력 수요 패턴 분석 (Power demand pattern analysis for electric appliances in residential and commercial building)

  • 노성준;이순정;이상우;김광호
    • 산업기술연구
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    • 제30권A호
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    • pp.9-15
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    • 2010
  • Recently, Smart Grid is a emerging topic in power and communication industry. Smart Grid refers to a evolution of the electricity supply infrastructure that monitors, protects, and intelligently optimize the operation of the interconnected elements including various type of generators, power grid, building/home automation system and end-use consumers. In order to successful implementation of Smart Grid, energy management function will be the key factor that coordinates and optimally controls the various loads according to the operating condition and environments, and the load patterns in residential and commercial building will be required as fundamental element for load management. In this study, we collects many types of energy usage data of electric appliances, analyze their load curves, and make the general load patterns for electrical appliance.

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3차원 인체 스캔 데이터의 정확도 검증에 관한 연구 - Cyberware의 WB4 스캐너를 중심으로 - (The Verification of Accuracy of 3D Body Scan Data - Focused on the Cyberware WB4 Whole Body Scanner -)

  • 박선미;남윤자
    • 한국의상디자인학회지
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    • 제14권1호
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    • pp.81-96
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    • 2012
  • The purpose of this study is to provide fundamental information for standardization of 3D body measurement. This research analyzes errors occurring in the process of extracting body size from 3D body scan data. First, as a result of analyzing basic state of the 3D body scanner's calibration, the point number of each section was almost the same, while the right and left as well as the front and back coordinates of the center of gravity are not, showing unstable data. Nevertheless, the latter does not influence on the size of cylinder such as width and circumference. Next, we analyzed point coordinates variations of scan data on a mannequin nude by life casting. The result was great deflection in case of complicated or horizontal sections including the reference point beyond proper distance from centers of four cameras. In case of the mannequin's size, accuracy proves comparatively high in that measurement errors in height, width, depth, and length dimension occurred all within allowable errors, only except chest depth, while there were a lot of measurement errors in a circumference dimension. Secondly, analysis of accuracy of automatic extraction identification program algorithm presented that a semi-automatic measurement program is better than an automatic measurement program. While both of them ate very acute in parts related to crotch, they are not in armpit related parts. Therefore, in extracting of human body size from 3D scan data, what really matters seems to parts related to armpits.

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Eddy-Resolving Simulations for the Asian Marginal Seas and Kuroshio Using Nonlinear Terrain-Following Coordinate Model

  • Song, Y.-Tony;Tang, Tao
    • Journal of the korean society of oceanography
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    • 제37권3호
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    • pp.169-177
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    • 2002
  • An eddy-resolving free-surface primitive-equation model with nonlinear terrain-following coordinates is established to study the exchange of water masses among the Asian marginal seas and their adjacent waters. A curvilinear coordinate system is used to generate the horizontal grid with a variable resolution for the regional oceans from $5^{\circ}$S to $45^{\circ}$N and $100^{\circ}$E to $155^{\circ}$E. The higher resolution region has about a 10 km by 10 km grid covering the complex geometry of the coastal marginal seas, while the lower resolution region has about a 30 km by 30 km grid covering the eastern Pacific. The model is initialized by the Levitus annual climitology and forced by the monthly mean air-sea fluxes of momentum, heat, and freshwater derived from the Comprehensive Ocean-Atmosphere Data Set. High-resolution and low-viscosity are identified as the key factors for a better representation of the exchange of waters through narrow straits and passages between the marginal seas and their adjacent waters. The dynamics of the loop currents and eddies in the South China Sea and Celebes Sea are examined in detail. It has found that the anticyclonic loop and detached eddies from the Kuroshio through the Luzon Strait play an important role in transporting warm and salty water into the South China Sea, while the cyclonic circulation of the Mindanao Current in the Celebes Sea plays a role in contributing cold water to the Indonesian throughflow. The deep undercurrent of the western Pacific is shown to provide fresher water to the South China Sea and Celebes Sea. These modeling results suggest that the exchange processes via the narrow straits and passages are of fundamental importance to the maintenance of water masses for the marginal sea region.

스테레오 영상을 이용한 파프리카 인식 및 좌표 정보 획득 영상처리 알고리즘 개발 (Development of an Image Processing Algorithm for Paprika Recognition and Coordinate Information Acquisition using Stereo Vision)

  • 화지호;송의한;이민영;이봉기;이대원
    • 생물환경조절학회지
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    • 제24권3호
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    • pp.210-216
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    • 2015
  • 본 연구에서는 파프리카 수확기 개발의 일환으로 엔드이펙터의 정확한 제어를 위하여 스테레오 영상으로 파프리카를 인식하고 인식된 파프리카의 공간 좌표를 획득하기 위하여 영상처리 알고리즘을 개발하고자 하였다. 먼저, 색상 정보를 이용하여 파프리카 영상을 추출하기 위하여 히스토그램 분석을 수행하였고 결과에 따른 임계값을 설정하였다. 임계값에 의해 추출된 파프리카 영역에 대해 스테레오 대응을 수행하기 위해 실험에 사용된 스테레오 영상의 F 행렬을 구하였고 이를 이용하여 에피폴라 선을 구하여 대응을 수행하였다. 대응을 수행 할 때는 색상 영상을 이용하여 강조 마스크와 컨벌루션을 통해 중심 픽셀과 수직, 수평방향 이웃 픽셀에 가중치를 적용하여 강조한 후 최소 자승 오차를 갖는 점을 대응점으로 추출하였다. 추출 된 대응 점간의 거리를 스테레오 영상의 기하학적인 관계를 이용하여 실제 거리를 계산하였고, 계산된 거리(Z)값을 이용하여 수평(X), 수직(Y) 방향 공간 좌표를 획득하였다. 그 결과 수평 방향 오차 평균 5.3mm, 수직 방향 오차 평균 18.8mm, 거리 오차 평균 5.4mm로 나타났으며, 거리 400~450mm 구간과 영상의 모서리 부분의 왜곡이 발생하는 부분에서 오차가 다른 구간에 비해 크게 나타나는 것을 확인 할 수 있었다.