• Title/Summary/Keyword: 2-Ellipse

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A Study on the Formability of Ellipse Panel by Finite Element Method (유한요소법에 의한 타원 판넬의 성형성에 관한 연구)

  • Kang, D.M.
    • Journal of Power System Engineering
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    • v.3 no.2
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    • pp.89-97
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    • 1999
  • In this paper the forming simulations of ellipse bulge have been researched by using $PAM-STAMP_{TM}$ to estimate the sheet metal forming and the plastic deformation characteristic of ellipse bulge. Thin elliptical diaphragms of brass, copper, aluminum, and mild steel are bulged in elliptical dies having aspect ratios of 1.33 and 2. In order to compare the simulation results with the experiment and ellipse bulge's theory derived by using Johnson and Duncan's theory, the relations of hydraulic pressure and polar height, polar thickness strain and polar height, were compared. According to this study, the results of simulation and ellipse bulge's theory derived by using Johnson and Duncan's theory, and the bursting pressure and the bursting polar height are good agreement to the experiment. So, the results of simulation by using $PAM-STAMP_{TM}$ and the ellipse bulge's theory will give engineers good information to make assessment the formability and plastic deformation characteristic of hydraulic ellipse bulge test.

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Development of a Velocity Ellipse Navigation Algorithm in Virtual Environments Using Force Feedback (힘 반향을 이용한 속도타원 가상환경 네비게이션 알고리즘 개발)

  • Yoon I.B.;Chai Y.H.
    • Korean Journal of Computational Design and Engineering
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    • v.9 no.4
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    • pp.277-285
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    • 2004
  • In this paper, a 2 DOF haptic yawing joystick for use as the navigation input device in virtual environments is introduced. The haptic yawing joystick has 360° range for yawing motion and ±100° for pitching motion. The device can support weights of up to 26N for χ axis and 10N for axis with 10kHz of sampling rate. The size of the haptic yawing joystick is so small that it can be assembled on armrest of an arm chair and has relatively larger work space than other conventional 2 DOF joysticks. For the haptic yawing joystick, an ellipse navigation algorithm using the user's velocity in the virtual navigation is proposed. The ellipse represents the velocity of the user. According to the velocity of the navigator, the ellipse size is supposed to be changed. Since the path width of navigation environments is limited, the ellipse size is also limited. The ellipse navigation algorithm is tested in 2 dimensional virtual environments. The test results show that the average velocity of the navigation with the algorithm is faster than the average navigation velocity without the algorithm.

Assessment of Single-leg Stance Balance Using COP 95% Confidence Ellipse Area (COP 95% Confidence Ellipse Area를 이용한 외발서기 균형 평가)

  • Youm, Chang-Hong;Park, Young-Hoon;Seo, Kuk-Woong
    • Korean Journal of Applied Biomechanics
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    • v.18 no.2
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    • pp.19-27
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    • 2008
  • The purpose of this study was to investigate of assessment of the ability of balance control using COP 95% confidence ellipse area while executing single-leg stance with eyes open and eyes closed through GRF system. The subjects participated in this study were 7 female yoga group and 7 female control group. The yoga training affected to improve the ability of balance control because the yoga group's COP AP and ML standard deviation and COP 95% confidence ellipse area were smaller than control group in both a single-leg stance with eyes open and eyes closed. Visual affected to the ability of balance control in a single-leg stance. I consider COP 95% confidence ellipse area as a high variable for determining the ability of balance control, and therefore suggest that additional studies for various groups and subjects will be required in the future.

Real-Time Rotation-Invariant Face Detection Using Combined Depth Estimation and Ellipse Fitting

  • Kim, Daehee;Lee, Seungwon;Kim, Dongmin
    • IEIE Transactions on Smart Processing and Computing
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    • v.1 no.2
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    • pp.73-77
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    • 2012
  • This paper reports a combined depth- and model-based face detection and tracking approach. The proposed algorithm consists of four functional modules; i) color-based candidate region extraction, ii) generation of the depth histogram for handling occlusion, iii) rotation-invariant face region detection using ellipse fitting, and iv) face tracking based on motion prediction. This technique solved the occlusion problem under complicated environment by detecting the face candidate region based on the depth-based histogram and skin colors. The angle of rotation was estimated by the ellipse fitting method in the detected candidate regions. The face region was finally determined by inversely rotating the candidate regions by the estimated angle using Haar-like features that were robustly trained robustly by the frontal face.

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Measurement of the Power of a Cylindrical Lens with the Magnification Ellipse Fitting Method (배율 타원 근사법을 실린더 렌즈의 굴절력 측정)

  • Ko, Woo-Seok;Ye, Sang-Heon;Kwak, Yoon-Keun;Kim, Soo-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.2
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    • pp.43-48
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    • 2008
  • This paper proposes a new method for measuring the power of spherical and cylindrical lens with 6 points light source, which is composed of a LED and six holes, and magnification ellipse fitting algorithm. Each measured diagonal length of 6 points light source is determined by the target lens power. After finding the center position of each light point with threshold method, 3 axis-diagonal lengths were calculated. The long axis and short axis power of cylindrical lens can be calculated by using magnification ellipse fitting algorithm with the magnification relationships between the initial diagonal lengths and the measured diagonal lengths changed by lens power.

Numerical simulation of the influence of interaction between Qanat and tunnel on the ground settlement

  • Sarfarazi, Vahab;Tabaroei, Abdollah
    • Geomechanics and Engineering
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    • v.23 no.5
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    • pp.455-466
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    • 2020
  • This paper presents analysis of the interaction between tunnel and Qanat with a particular interest for the optimization of Qanat shape using the discrete element code, PFC2D, and the results will be compared with the FEM results of PLAXIS2D. For these concerns, using software PFC2D based on Discrete Element Method (DEM), a model with dimension of 100m 100 m was prepared. A circular tunnel with dimension of 9 m was situated 20 m below the ground surface. Also one Qanat was situated perpendicularly above the tunnel roof. Distance between Qanat center and ground surface was 8 m. Five different shapes for Qanat were selected i.e., square, semi-circular, vertical ellipse, circular and horizontal ellipse. Confining pressure of 5 MPa was applied to the model. The vertical displacement of balls situated in ground surface was picked up to measure the ground subsidence. Also two measuring circles were situated at the tunnel roof and at the Qanat roof to check the vertical displacements. The properties of the alluvial soil of Tehran city are: γdry=19 (KN/㎥), E= 750 (kg/㎠), ν=0.35, c=0.3(kg/㎠), φ=34°. In order to validate the DEM results, a comparison between the numerical results (obtained in this study) and analytical and field monitoring have been done. The PFC2D results are compared with the FEM results. The results shows that when Qanat has rectangular shape, the tensile stress concentration at the Qanat corners has maximum value while it has minimum value for vertical ellipse shape. The ground subsidence for Qanat rectangular shape has maximum value while it has minimum value for ellipse shape of Qanat. The vertical displacements at the tunnel roof for Qanat rectangular shape has maximum value while it has minimum value for ellipse shape of Qanat. Historical shape of Qante approved the finding of this research.

The Detection of Ellipse by Using Modified Least Square Method in Image (영상에서 변형된 최소자승법을 이용한 타원 검출)

  • Jang, Yung-Chul;Oh, Moo-Song
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.12
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    • pp.3200-3210
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    • 1997
  • In image processing we encounter some tasks to detect ellipse or to discriminate the curves. LSM is well used to fit curves to ellipse but it can fail to fit correctly when fitting to defected one. To overcome this problem, we propose Modified LSM. Only 2-parameters among 5-paramaters are to be determined by LSM, while 3-parameters are to be calculated by the constrain that the curve must pass 3 given points. Those 3 points are selected by operator so as to have elliptic feature. Such proposed MLSM shows better result than genunal LSM in case when the ellipse is severely defected. and is proved to be good method for determing the human dentition.

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Development of a New Gerotor for Oil Pumps with Multiple Profiles(Ellipse1, Involute and Ellipse2) (타원 1-인벌루트-타원 2 형상을 조합한 새로운 형 제로터 개발)

  • Jung, Sung-Yuen;Kim, Moon-Saeng;Kim, Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.5
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    • pp.614-622
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    • 2011
  • An internal lobe pump is suitable for oil hydraulics of machine tools, automotive engines, compressors, constructions and other various applications. In particular, the pump is an essential machine element of an automotive engine to feed lubricant oil. The subject of this paper is the theoretical analysis of internal lobe pump whose the main components are the rotors: usually the outer one is characterized by lobe with multiple profile(ellipse1, involute and ellipse2) shapes, while the inner rotor profile is determined as conjugate to the other. Also, the design of outer rotor depends on new applications with removing carryover phenomenon. The system generates new lobe profile and calculates automatically the flow rate and flow rate irregularity according to the lobe profile generated. In order to obtain rotor shapes in performance and to find optimize the design parameters, a Taguchi method is proposed in this paper. Results obtained from the analysis enable the designer and manufacturer of oil pump to be more efficient in this field.

Optimal Design of Gerotor with Combined Profiles (Three-Ellipse and Ellipse-Involute-Ellipse) Using Rotation and Translation Algorithm (회전이동 및 병진이동 알고리즘을 이용한 조합된 치형형상(3-타원 및 타원-인벌루트-타원)을 갖는 지로터의 최적설계)

  • Bae, Jun Ho;Lee, Ho Ryul;Kim, Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.2
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    • pp.169-177
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    • 2015
  • Because technology of the sintering process is highly advanced, the gerotor used in the internal gear pumps of vehicles has advantages for manufacturing complex profiles and obtaining durability and minimization. However, it has been necessary to continuously improve the flow rate and noise of internal gear pumps for better fuel efficiency. The existing rotor was designed using a translation algorithm. This caused a discontinuity of the rotor profile, which had adverse effects on the performance. In this study, to improve the discontinuity of the profile, a new design program using a rotation and translation algorithm was developed, and two types of combined multiple profiles (three-ellipses and ellipse 1-involute-ellipse 2) were generated. Then, the performances (flow, flow rate, specific sliding, and pressure angle) of these profiles were calculated. On the basis of the calculation results for the performances, optimal designs of the two types were carried out and verified by comparing their performances with those of the existing rotor profiles.

ISOGONAL AND ISOTOMIC CONJUGATES OF QUADRATIC RATIONAL Bézier CURVES

  • Yun, Chan Ran;Ahn, Young Joon
    • The Pure and Applied Mathematics
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    • v.22 no.1
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    • pp.25-34
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    • 2015
  • In this paper we characterize the isogonal and isotomic conjugates of conic. Every conic can be expressed by a quadratic rational B$\acute{e}$zier curve having control polygon $b_0b_1b_2$ with weight w > 0. We show that the isotomic conjugate of parabola and hyperbola with respect to ${\Delta}b_0b_1b_2$ is ellipse, and that the isotomic conjugate of ellipse with the weight $w={\frac{1}{2}}$ is identical. We also find all cases of the isogonal conjugate of conic with respect to ${\Delta}b_0b_1b_2$. Our characterizations are derived easily due to the expression of conic by the quadratic rational B$\acute{e}$ezier curve in standard form.