• Title/Summary/Keyword: Geometric Grid

Search Result 119, Processing Time 0.022 seconds

Design and Construction of a Surface Encoder with Dual Sine-Grids

  • Kimura, Akihide;Gao, Wei;Kiyono, Satoshi
    • International Journal of Precision Engineering and Manufacturing
    • /
    • v.8 no.2
    • /
    • pp.20-25
    • /
    • 2007
  • This paper describes a second-generation dual sine-grid surface encoder for 2-D position measurements. The surface encoder consisted of a 2-D grid with a 2-D sinusoidal pattern on its surface, and a 2-D angle sensor that detected the 2-D profile of the surface grid The 2-D angle sensor design of previously developed first-generation surface encoders was based on geometric optics. To improve the resolution of the surface encoder, we fabricated a 2-D sine-grid with a pitch of $10{\mu}m$. We also established a new optical model for the second-generation surface encoder that utilizes diffraction and interference to generate its measured values. The 2-D sine-grid was fabricated on a workpiece by an ultra precision lathe with the assistance of a fast tool servo. We then performed a UV-casting process to imprint the sine-grid on a transparent plastic film and constructed an experimental setup to realize the second-generation surface encoder. We conducted tests that demonstrated the feasibility of the proposed surface encoder model.

Parametric Study of 2.5 kW Class Propeller Type Micro Hydraulic Turbine (2.5 kW 급 프로펠러형 마이크로 수차 매개변수 연구)

  • MA, SANG-BUM;KIM, SUNG;CHOI, YOUNG-SEOK;CHA, DONG-AN;KIM, JIN-HYUK
    • Transactions of the Korean hydrogen and new energy society
    • /
    • v.31 no.4
    • /
    • pp.387-394
    • /
    • 2020
  • A parametric study of a 2.5 kW class propeller type micro hydraulic turbine was performed. In order to analyze the internal flow characteristics in the hydraulic turbine, three dimensional Reynolds-averaged Navier-Stokes equations with shear stress transport turbulence model were used and the hexahedral grid system was used to construct computational domain. To secure the reliability of the numerical analysis, the grid dependency test was performed using the grid convergence index method based on the Richardson extrapolation, and the grid dependency was removed when about 1.7 million nodes were used. For the parametric study, the axial distance at shroud span (L) between the inlet guide vane and the runner, and the inlet and outlet blade angles (β1, β2) of the runner were selected as the geometric parameters. The inlet and outlet angles of the runner were defined in the 3 spans from the hub to tip, and a total of 7 geometric parameters were investigated. It was confirmed that the outlet angles of the runner had the most sensitive effect on the power and efficiency of the micro hydraulic turbine.

Measurement and assessment of imperfections in plasma cut-welded H-shaped steel columns

  • Arasaratnam, P.;Sivakumaran, K.S.;Rasmussen, Kim J.R.
    • Steel and Composite Structures
    • /
    • v.6 no.6
    • /
    • pp.531-555
    • /
    • 2006
  • H-shaped welded steel column members are fabricated by welding together pre-cut flanges and the web. Modern fabricators are increasingly using plasma-cutting technique instead of traditional flame cutting. Different fabrication techniques result in different degrees of geometric imperfections and residual stresses, which can have considerable influence on the strength of steel columns. This paper presents the experimental investigation based temperature profiles, geometric imperfections, and built-in residual stresses in plasma cut-welded H-shaped steel column members and in similar flame cut-welded H-shaped steel columns. Temperature measurements were taken during and immediately after the cutting operations and the welding operations. The geometric imperfections were established at closely spaced grid locations on the original plates, after cutting plates into plate strips, and after welding plate strips into columns. Geometric imperfections associated with plasma cut element and members were found to be less than those of the corresponding elements and members made by flame cutting. The "Method of Section" technique was used to establish the residual stresses in the plate, plate strip, and in the welded columns. Higher residual stress values were observed in flame cut-welded columns. Models for idealized residual stress distributions for plasma cut and flame cut welded sections have been proposed.

LEAST-SQUARE SWITCHING PROCESS FOR ACCURATE AND EFFICIENT GRADIENT ESTIMATION ON UNSTRUCTURED GRID

  • SEO, SEUNGPYO;LEE, CHANGSOO;KIM, EUNSA;YUNE, KYEOL;KIM, CHONGAM
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • v.24 no.1
    • /
    • pp.1-22
    • /
    • 2020
  • An accurate and efficient gradient estimation method on unstructured grid is presented by proposing a switching process between two Least-Square methods. Diverse test cases show that the gradient estimation by Least-Square methods exhibit better characteristics compared to Green-Gauss approach. Based on the investigation, switching between the two Least-Square methods, whose merit complements each other, is pursued. The condition number of the Least-Square matrix is adopted as the switching criterion, because it shows clear correlation with the gradient error, and it can be easily calculated from the geometric information of the grid. To illustrate switching process on general grid, condition number is analyzed using stencil vectors and trigonometric relations. Then, the threshold of switching criterion is established. Finally, the capability of Switching Weighted Least-Square method is demonstrated through various two- and three-dimensional applications.

3D Shape Reconstruction from 2D Cross-Sections (단면 정보를 이용한 형상의 재구성)

  • Park, H.J.;Kim, K.S.
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.10 no.4
    • /
    • pp.81-93
    • /
    • 1993
  • The three dimensional(3D) shape reconstruction from two dimensional(2D) cross-sections can be completed through three main phases : the input compilation, the triangular grid formation, and the smooth surface construction. In the input compilation phase, the cross-sections are analyzed to exctract the input data required for the shape reconstruction. This data includes the number of polygonized contours per cross-section and the vertices defining each polygonized contour. In the triangular grid formation phase, a triangular grid, leading to a polyhedral approximations, is constructed by extracting all the information concerning contour links between two adjacent cross- sections and then performing the appropriate triangulation procedure for each contour link. In the smooth surface construction phase, a smooth composite surface interpolating all vertices on the triangular grid is constructed. Both the smooth surface and the polyhedral approximation can be used as reconstructed models of the object. This paper proposes a new method for reconstructing the geometric model of a 3D objdect from a sequence of planar contours representing 2D cross-sections of the objdect. The method includes the triangular grid formation algorithms for contour closing, one-to-one branching, and one-to-many braanching, and many-to-many branching. The shape reconstruction method has been implemented on a SUN workstation in C.

  • PDF

Grid-Based Localization of a Mobile Robot Using Sonar Sensors

  • Lim, Jong-Hwan;Kang, Chul-Ung
    • Journal of Mechanical Science and Technology
    • /
    • v.16 no.3
    • /
    • pp.302-309
    • /
    • 2002
  • This paper presents a technique for localization of a mobile robot using sonar sensors. Localization is the continual provision of knowledges of position that are deduced from its a priori position estimation. The environment of a robot is modeled by a two-dimensional grid map. We define a physically based sonar sensor model and employ an extended Kalman filter to estimate positions of the robot. Since the approach does not rely on an exact geometric model of an object, it is very simple and offers sufficient generality such that integration with concurrent mapping and localizing can be achieved without major modifications. The performance and simplicity of the approach are demonstrated with the results produced by sets of experiments using a mobile robot equipped with sonar sensors.

Debates on the Reorganization of Administration District and Use of Maps in the Early Stage of French Revolution (프랑스 혁명 초기의 행정구역 개편을 위한 논의와 지도의 활용)

  • Jung, In-Chul
    • Journal of the Korean Geographical Society
    • /
    • v.48 no.5
    • /
    • pp.750-767
    • /
    • 2013
  • The purpose of this study is to consider debates the reorganization of administrative districts and to investigate the role of maps in this debate during the early stage of French Revolution. For this, firstly, we examined the argument of reformers who attempted to change the administration system of the Old Regime. We found that physiocrats proposed map use for their attempt to reform this system. Secondly, we considered the debate on the theme of the new division of the kingdom on the basis of speeches or interventions delivered to the National Assembly. Robert de Hesseln's map, itself influenced by the geometric spirit shown by the map of Cassini, played an crucial role in the utopian ideas of revolutionaries who would divide France in administrative units of equal size geometric grid. Thirdly, the deputies decided the number and boundary of department on the basis of Hennequin's map. The final cut which resulted in very tense negotiations with local leaders was irregular polygons modeled on patterns of economic relations, and elements of relief and historical tradition. Fourthly, new administrative divisions are plotted on the map of Cassini and presented to the National Assembly. And it was declared as a new administrative division of France.

  • PDF

Efficient Opaque Ice Sphere Formation Using a Lightweight Geometric Approach

  • Jong-Hyun Kim
    • Journal of the Korea Society of Computer and Information
    • /
    • v.29 no.3
    • /
    • pp.91-98
    • /
    • 2024
  • In this paper, we present a particle-grid blending framework based on a geometric approach to efficiently represent opaque ice spheres with air bubbles. The water temperature is diffused through the grid and the air bubbles represented inside the ice through the particles. To solve the problem of previous methods that generate noisy dissolved air fields, we use levelsets to lighten the algorithm, i.e., the number of active particles and the initial amount of dissolved oxygen can be used to efficiently control the termination conditions of heat diffusion. We also extend the previous dissolved air field method, which only computes near air bubbles, to transparent regions to represent realistic ice spheres, and introduce a levelset-based approach to accurately compute the orientation of particles. As a result, the method presented in this paper is about three times faster than the existing methods and shows visually improved visualization of opaque ice spheres, which can be used in the field of representing physical virtual ice forms.

Evaluation of Energy Production for a Small Wind Turbine by Considering the Geometric Shape of the Deokjeok-Do Island (덕적도 지형을 고려한 소형풍력발전기 발전량 평가)

  • Jang, Choon-Man;Lee, Sang-Moon;Jeon, Wan-Ho;Lim, Tae-Gyun
    • Transactions of the Korean hydrogen and new energy society
    • /
    • v.25 no.6
    • /
    • pp.629-635
    • /
    • 2014
  • This paper presents annual energy production (AEP) by a 1.5kW wind turbine due to be installed in Deokjeok-Do island. Local wind data is determined by geometric shape of Deokjeok-Do island and annual wind data from Korea Institute of Energy Research at three places considered to be installed the wind turbine. Numerical simulation using WindSim is performed to obtain flow pattern for the whole island. The length of each computation grid is 40 m, and k-e turbulence model is imposed. AEP is determined by the power curve of the wind turbine and the local wind data obtained from numerical simulation. To capture the more detailed flow pattern at the specific local region, Urumsil-maul inside the island, fine mesh having the grid length of 10m is evaluated. It is noted that the input data for numerical simulation to the local region is used the wind data obtained by the numerical results for the whole island. From the numerical analysis, it is found that a local AEP at the Urumsil-maul has almost same value of 1.72 MWh regardless the grid resolutions used in the present calculation. It is noted that relatively fine mesh used for local region is effective to understand the flow pattern clearly.