• Title/Summary/Keyword: Elliptic motion

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Nonlinear Motion for an Elliptic Cylinder under Free Surface (자유표면 아래의 타원형 실린더에 대한 비선형 운동)

  • 이호영;임춘규
    • Journal of the Society of Naval Architects of Korea
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    • v.41 no.4
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    • pp.38-44
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    • 2004
  • The motion response analysis of a submerged elliptic cylinder in waves is presented and the elliptic cylinder is a simplification of the section of submarine in this paper. The method is based on boundary integral method and two-dimensional 3 degree motions are calculated in regular harmonic waves. The fully nonlinear free surface boundary condition is assumed in an numerical domain and this solution is matched along an assumed boundary as a linear solution composed of transient Green function, The large amplitude motions of an elliptic cylinder are directly simulated and effects of wave frequency, wave amplitude and the distance from buoyancy center to gravity center are discussed.

SHORT-TERM COMPARISON OF SEVERAL SOLUTIONS OF ELLIPTIC RELATIVE MOTION (타원 상대운동 여러 궤도 해의 단주기 비교)

  • Jo, Jung-Hyun;Lee, Woo-Kyoung;Baek, Jeong-Ho;Choe, Nam-Mi
    • Journal of Astronomy and Space Sciences
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    • v.24 no.4
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    • pp.315-326
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    • 2007
  • Recently introduced, several explicit solutions of relative motion between neighboring elliptic satellite orbits are reviewed. The performance of these solutions is compared with an analytic solution of the general linearized equation of motion. The inversion solution by the Hill-Clohessy-Wiltshire equations is used to produce the initial condition of numerical results. Despite the difference of the reference orbit, the relative motion with the relatively small eccentricity shows the similar results on elliptic case and circular case. In case of the 'chief' satellite with the relatively large eccentricity, HCW equation with the circular reference orbit has relatively larger error than other elliptic equation of motion does.

Efficiency Improvement of Linear Ultrasonic Motor Using Arrangement for Magnification of Displacement (변위확대기구를 이용한 선형 초음파 전동기의 효율 개선)

  • 이명훈;우상호;김진수
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.11a
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    • pp.177-180
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    • 2000
  • In this paper, we studied efficiency improvement of linear ultrasonic motor using projection. The principle of ultrasonic motor is to use an elliptic motion generated at the side of the vibrator, and the elliptic motion of the ultrasonic motor was obtained by complex oscillation of L$_1$-B$_4$ mode. As the experimental results, the efficiency of linear ultrasonic motor without projection was 1.52[%] when applied voltage was 56[V] in resonance frequency 58.4[kHz]. The efficiency of linear ultrasonic motor using projection was 3.36[%] when applied voltage was 56[V] in resonance frequency 58.4[kHz]. The efficiency was improved by projection.

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Reduced Frequency Effects on the Near-Wake of an Oscillating Elliptic Airfoil

  • Chang, Jo-Won;Eun, Hee-Bong
    • Journal of Mechanical Science and Technology
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    • v.17 no.8
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    • pp.1234-1245
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    • 2003
  • An experimental study was carried out to investigate the reduced frequency effect on the near-wake of an elliptic airfoil oscillating in pitch. The airfoil was sinusoidally pitched around the center of the chord between -5$^{\circ}$and +25$^{\circ}$angles of attack at an airspeed of 3.4 m/s. The chord Reynolds number and reduced frequencies were 3.3 ${\times}$10$^4$, and 0.1, 0.7, respectively Phase-averaged axial velocity and turbulent intensity profiles are presented to show the reduced frequency effects on the near-wake behind the airfoil oscillating In pitch. Axial velocity defects in the near-wake region have a tendency to increase in response to a reduced frequency during pitch up motion, whereas it tends to decrease during pitch down motion at a positive angle of attack. Turbulent intensity at positive angles of attack during the pitch up motion decreased in response to a reduced frequency, whereas turbulent intensity during the pitch down motion varies considerably with downstream stations. Although the true instantaneous angle of attack compensated for a phase-lag is large, the wake thickness of an oscillating airfoil is not always large because of laminar or turbulent separation.

Implementation of Motion Detection of Human Under Fixed Video Camera (고정 카메라 환경하에서 사람의 움직임 검출 알고리즘의 구현)

  • 한희일
    • Proceedings of the IEEK Conference
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    • 2000.06d
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    • pp.202-205
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    • 2000
  • In this paper we propose an algorithm that detects, tracks a moving object, and classify whether it is human from the video clip captured under the fixed video camera. It detects the outline of the moving object by finding out the local maximum points of the modulus image, which is the magnitude of the motion vectors. It also estimates the size and the center of the moving object. When the object is detected, the algorithm discriminates whether it is human by segmenting the face. It is segmented by searching the elliptic shape using Hough transform and grouping the skin color region within the elliptic shape.

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RESONANT MOTION OF A PARTICLE ON AN AXISYMMETRIC CONTAINER SUBJECT TO HORIZONTAL EXCITATION

  • Suh, Yong-Kweon
    • Journal of Theoretical and Applied Mechanics
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    • v.2 no.1
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    • pp.51-70
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    • 1996
  • This study is generalization of the study of Miles[Physica 11D, 1984, pp.309-323]on the resonant motion of a spherical pendulum, which is equivalent to a particle on a spherical container subject to a linear, horizontal excitation. This study covers an arbitrary shape of container and a more general excitation (horizontal but elliptic motion). The averaging method is applied to reduce the governing equations to an autonomous system with cubic nonlinear terms, under the assumption of small amplitude of the container motion. It is shown that both the container shape and the excitation pattern affect the particle dynamics. Under the linear excitation, the anharmonic motion of the particle is possible only for a certain finite range of the parameter a controling the container shape. Stability of the particle's harmonic motion is also influenced by the excitation pattern; as the excitation trajectory becomes closer to a circle, the particle's motion has a stronger tendency to become stable and to follow the rotational direction of the excitation. Under a circular excitation, the motion is always stable and circular with the same rotational direction as the excitation. Analogy between the present model and that of the surface wave inside a circular is studied quantitatively.

A Study on Elliptic Lobe type Gears (이심률 변화에 따른 타원계 엽형기어의 진동 특성에 관한 연구)

  • 이두영;유명설;최상훈
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.837-841
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    • 1996
  • It is the eccentricity that determines most of the characteristics of the elliptic gears. Accoding to the theoretical tooth profiles, two pairs of the elliptic gears were manufactured by using CNC wire cutting machine. For harmonious rotating motion, it is necessaryto consider operating pressure angle and module not to generate undercut. The characteristics of vibration were investigated by analyzer.

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A Study on Feed Dog Motion of a Lock Stitch Sewing Machine (본봉용 재봉기의 톱니 운동에 관한 연구)

  • 전경진;송창섭;신대영
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.12
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    • pp.37-47
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    • 1998
  • This study discusses the feed dog feeding mechanism of an industrial lock stitch sewing machine, which is a good example to study a machine kinematics. The feed dog feeding mechanism makes the fabrics directly be fed by an elliptic motion of the feed dog that is moved by a rotation of the top shaft and controlled by the feeding control mechanism. This study makes mathematical expressions of machine's motion in the feed dog feeding mechanism. Thus, the motions of this mechanism are characterized, namely how an elliptic motion of the feed dog is affected by the feeding control mechanism. Therefore, the above mathematical expressions may be a basis for the new design of the feed dog feeding mechanism and may be adapted to analysis. Development of the similar feed dog feeding mechanism can be applied to other type sewing machine.

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Multi-directionally Movable Lambda Shape Transducer for Ultrasonic Motor (초음파 모터용 람다형 다방향 변환자)

  • Do, Young-Soo;Nam, Hyo-Duk;Kim, Young-Duk
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.21 no.2
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    • pp.131-136
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    • 2008
  • The transducer for multi-directionally movable ultrasonic motor having lambda shaped vibrators has been proposed and designed. The two branches cross at a right angle with each other at the tip. FEM analyses of lambda shaped transducer were carried out to find vibration modes for ultrasonic motor. The lambda shaped transducer has one symmetric mode and two anti-symmetric modes. The symmetric mode generates the normal direction motion of the tip. The lateral and vertical direction motion of the tip are excited by two anti-symmetric modes. The normal and lateral direction motions made an lateral elliptic trajectory. And the normal and vertical direction motions made an vertical elliptic trajectory normal to previous one. The transducer with 1 mm in thickness and 25 mm in length has been fabricated and evaluated. The resonance frequencies of the transducer was 32 kHz and 103 kHz. The tangential and vertical vibration displacement of the transducer having the lateral elliptic trajectory were $1.5{\mu}m\;and\;1.1{\mu}m$, respectively at the driving voltage of 100 Vpp and frequency of 32 kHz and 103 kHz. And the tangential and vertical vibration displacement of the transducer having the vertical elliptic trajectory were $0.4{\mu}m\;and\;0.2{\mu}m$, respectively at the same driving condition.

ON THE TRIANGULAR EQUILIBRIUM POINTS IN THE ELLIPTIC RESTRICTED THREE-BODY PROBLEM UNDER RADIATION AND OBLATENESS EFFECTS

  • DERMAWAN, B.;HUDA, I.N.;WIBOWO, R.W.;HIDAYAT, T.;UTAMA, J.A.;MANDEY, D.;TAMPUBOLON, I.
    • Publications of The Korean Astronomical Society
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    • v.30 no.2
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    • pp.293-294
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    • 2015
  • This work considers the elliptic restricted three-body problem under effects of radiation of the bigger primary, and an oblate spheroid for the smaller primary to mimic an exoplanetary system with a gas giant planet. Under the influences of both effects we look for the existence of the triangular equilibrium points and the influences of the radiation and oblateness on the locations and motion of the points. We set the system in a normalized rotating coordinate system and derive equations of motion for the third infinitesimal object. Our study shows that the effects modify the equilateral/isosceles triangle shape with respect to the primaries. The triangular points also have non-planar motion with period depending on the value of the planet oblateness.