• Title/Summary/Keyword: 상대 직교 좌표

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Multibody Dynamics Formulation based on Relative Cartesian Coordinates for Subsystem Dynamic Analysis (부분 시스템 해석을 위한 상대 직교 좌표를 이용한 다물체 동역학 공식)

  • Kim, Sung-Soo;Song, Kum-Jung;Huh, Jae-Young
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.899-904
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    • 2004
  • Multibody dynamics formulation has been developed based on relative cartesian coordinates for subsystem analysis. Relative cartesian coordinates are defined with respect to a reference body of a subsystem. Relative cartesian formulation inherits the same merits of absolute cartesian formulation, such as generality and easy implementation. Two methods have been applied. One is Largrange Multiplier Elimination method and the other is independent coordinate method. A 1/4 car simulation has been carried out to verify the formulations. Since both methods provide identical results, it proves the validity of the formulation.

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Subsystem Synthesis Methods with Independent Coordinates for Multi-body Dynamics Systems (다물체 동역학 시스템을 위한 독립 좌표에 의한 부분 시스템 합성 방법)

  • Song, Kum-Jung;Kim, Sung-Soo
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1724-1729
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    • 2003
  • Two different subsystem synthesis methods with independent generalized coordinates have been developed and compared. In each formulation, the subsystem equations of motion are generated in terms of independent generalized coordinates. The first formulation is based on the relative Cartesian coordinates with respect to moving subsystem base (virtual) body. The second formulation is based on the relative joint coordinates using recursive formulation. Computational efficiency of the formulations has been compared theoretically by the operational counting method.

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Shape Description and Recognition Using the Relative Distance-Curvature Feature Space (상대거리-곡률 특징 공간을 이용한 형태 기술 및 인식)

  • Kim Min-Ki
    • The KIPS Transactions:PartB
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    • v.12B no.5 s.101
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    • pp.527-534
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    • 2005
  • Rotation and scale variations make it difficult to solve the problem of shape description and recognition because these variations change the location of points composing the shape. However, some geometric Invariant points and the relations among them are not changed by these variations. Therefore, if points in image space depicted with the r-y coordinates system can be transformed into a new coordinates system that are invariant to rotation and scale, the problem of shape description and recognition becomes easier. This paper presents a shape description method via transformation from the image space into the invariant feature space having two axes: representing relative distance from a centroid and contour segment curvature(CSC). The relative distance describes how far a point departs from the centroid, and the CSC represents the degree of fluctuation in a contour segment. After transformation, mesh features were used to describe the shape mapped onto the feature space. Experimental results show that the proposed method is robust to rotation and scale variations.

A study on relative velocity approach for shape desing to cylindrical cam with rotating roller follower on faced-vertical axes (직교축상의 회전운동용 롤러 종동절을 수반하는 원통형 캠의 형상설계를 위한 상대속도법에 관한 연구)

  • 김성원;신중호;강동우;장세원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.612-615
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    • 2000
  • Cam mechanism is one of the common devices used in many automatic machinery. Specially cylindrical cam generates three dimensional motions. Thus, the shape design procedures must have high accuracy. This paper proposes the shape design procedure for a cylindrical cam and follower mechanism using a relative velocity method. The relative velocity method and the coordinate transformation are used to find a contact point between the cam and the follower. Also, the full shape of the cylindrical cam can be generated by using the geometric relationships and the contact constraints. As a result, this paper presents an example for the shape design of the cylindrical cam in order to prove the accuracy of the design procedures.

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Adaptive Tracking Control for Spacecraft Rendezvous and Docking (우주비행체의 랑데부 및 도킹을 위한 적응 제어기법)

  • Yoon, Hyung-Joo;Shin, Hyo-Sang;Tahk, Min-Jea
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.11
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    • pp.1072-1078
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    • 2008
  • An adaptive control algorithm for spacecraft rendezvous and docking in a Keplerian orbit is presented. The equations of relative motion of two spacecrafts expressed in a local-vertical-local-horizontal rectangular frame are converted to a general Hamiltonian form, then an adaptive control method developed for the uncertain Hamiltonian system is applied to the rendezvous and docking problem. A smooth projection algorithm is applied to keep the parameter estimates inside a singularity-free region, and a numerical example shows that the developed controller successfully deals with the unknown mass of the chaser spacecraft.

An Evaluation of Recent Higher-order Bounded Convection Schemes (최근의 고차 유계 대류항 처리법의 평가)

  • Choi Seok Ki;Lee Yong Bum
    • Journal of computational fluids engineering
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    • v.2 no.1
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    • pp.73-83
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    • 1997
  • 이 논문은 최근에 개발된 네가지 종류의 고차 유계 대류항 처리법인 SOUCUP, HLPA, SMARTER 그리고 COPLA 해법들을 비교 분석한다. 모든 해법들을 실제적인 공학적인 문제에의 적용을 위하여 비균일, 비직교 좌표에 공식화 하였다. 해법들의 상대적인 검증을 위하여 여러 가지 종류의 시험 문제들에 적용하여 검증하였다. 수치실험의 결과는 시험한 4종류의 해법들이 유계성을 만족하고 고차 해법의 정확도를 유지하는 것으로 나타났다. HLPA, SMARTER와 COPLA 해법들은 거의 같은 정도의 해의 정확성을 보였으며, SCOCUP 해법은 조금 부정확한 것으로 나타났다.

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SOFTWARE DEVELOPMENT OF HIGH-PRECISION EPHEMERIDES OF SOLAR SYSTEM (II) (태양계 행성의 고정확도 위치계산에 과한 연구(II))

  • 신종섭;안영숙;박필호;박은광;박종옥
    • Journal of Astronomy and Space Sciences
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    • v.12 no.1
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    • pp.78-89
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    • 1995
  • We solved n-body problem about 9 planets, moon, and 4 minor planets with relativistic effect related to the basic equation of motion of the solar system. Perturbations including flgure potential of the earth and the moon and solid earth tidal effect were considered on this relativistic equation of motion. The orientations employed precession and nutation for the earth, and lunar libration model with Eckert's lunar libration model based on J2000.0 were used for the moon. Finally, we developed heliocentric ecliptic position and velocity of each planet using this software package named the SSEG (Solar System Ephemerides Generator) by long-term (more than 100 years) simulation on CRAY-2S super computer, through testing each subroutine on personal computer and short-time(within 800 dyas) running on SUN3/280 workstation. Epoch of input data JD2440400.5 were adopted in order to compare our results to the data archived from JPL's DE 200 by Standish and Newhall. Above equation of motion was integrated numerically having 1-day step-size interval through 40,000 days (about 110 years long) as total computing interval. We obtained high-precision ephemerides of the planets with maximum error, less $than\pm2\times10^{-8}AU(\approx\pm3km)$ compared with DE200 data (except for mars and moon).

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