• Title/Summary/Keyword: cartesian closed

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Closed-form Expressions of the Vector Gravity and Gravity Gradient Tensor Due to a Circular Disk (원판형 이상체에 의한 벡터 중력 및 중력 변화율 텐서 반응식)

  • Rim, Hyoungrea
    • Geophysics and Geophysical Exploration
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    • v.24 no.1
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    • pp.1-5
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    • 2021
  • The closed-form expressions of the vector gravity and gravity gradient tensor due to a circular disk are derived. The gravity potential due to a circular disk with a constant density is defined for a cylindrical system. Then, the vector gravity is derived by differentiating the gravity potential with respect to cylindrical coordinates. The radial component of the vector gravity in the cylindrical system is converted into horizontal gravity components in the Cartesian system. Finally, the gravity gradient tensor due to a circular disk is obtained by differentiating the vector gravity with respect to the Cartesian coordinates.

Numerical Simulation of a Viscous Flow Field Around a Deforming Foil Using the Hybrid Cartesian/Immersed Boundary Method (Hybrid Cartesian/Immersed Boundary 법을 이용한 2차원 변형날개 주위 점성유동 해석)

  • Shin, Sang-Mook;Kim, Hyoung-Tae
    • Journal of the Society of Naval Architects of Korea
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    • v.43 no.5 s.149
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    • pp.538-549
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    • 2006
  • A code is developed to simulate a viscous flow field around a deformable body using the hybrid Cartesian/immersed boundary method. In this method, the immersed boundary(IB) nodes are defined near the body boundary then velocities at the IB nodes are reconstructed based on the interpolation along the normal direction to the body surface. A new method is suggested to define the IB nodes so that a closed fluid domain is guaranteed by a set of IB nodes and the method is applicable to a zero-thickness body such as a sail. To validate the developed code, the vorticity fields are compared with other recent calculations where a cylinder orbits and moves into its own wake. It is shown the code can handle a sharp trailing edge at Reynolds number of $10^5$ under moderate requirements on girds. Finally the developed code is applied to simulate the vortex shedding behind a deforming foil with flapping tail like a fish. It is shown that the acceleration of fluids near the flapping tail contributes to the generation of the thrust for propulsion.

Kinimatic Analysis of a New Clss of 6-DOF Parallel Manipulator (새로운 6자유도 병렬 매니퓰레이터의 기구학 해석)

  • Byun, Yong-Kyu;Jo, Hyung-Suck
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.2
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    • pp.414-430
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    • 1996
  • In this paper, a new kinematic structure of a parallel manipulator with six Cartesian degrees of freedom is proposed. It consists of a platform which is connected to a fixed base by means of 3-PPSP(parameters P, S denote the prismatic, spherical joints) subchains. Each subchain has a link which is concected to a passive prismatic joint at the one end and a passive spherical joint at the other. The spherical joint is then attached to perpendicularly arranged prismatic actuators which are fixed at the base. The spherical joint is then attached to perpendicularly arranged prismatic actuators which are fixed at the base. This arrangement provides a basis to control all six Cartesian degrees of motion of the platform in space. Due to its efficient architecture, the colsed-form solutions of the inverse and forward kinematics can be obtained. As a consequence, this new kinematic structure can be servo controlled using simple inverse kinematics becaese forward kinematics allows for measuring the platform's position and orientation in Cartesian space. Furthermore, the proposed structure provides an effective functional workspace. Series of simulations are performed to verify the results of the kinematics analyses.

APPROXIMATE FIBRATIONS ON OL MANIFOLDS

  • Im, Young-Ho;Kim, Soo-Hwan
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.491-501
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    • 1998
  • If N is any cartesian product of a closed simply connected n-manifold $N_1$ and a closed aspherical m-manifold $N_2$, then N is a codimension 2 fibrator. Moreover, if N is any closed hopfian PL n-manifold with $\pi_iN=0$ for $2 {\leq} i < m$, which is a codimension 2 fibrator, and $\pi_i N$ is normally cohopfian and has no proper normal subroup isomorphic to $\pi_1 N/A$ where A is an abelian normal subgroup of $\pi_1 N$, then N is a codimension m PL fibrator.

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Dynamics of the Macpherson Strut Motor-Vehicle Suspension System in Point and Joint Coordinates

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • v.17 no.9
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    • pp.1287-1296
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    • 2003
  • In this paper the dynamic analysis of the Macpherson strut motor-vehicle suspension system is presented. The equations of motion are formulated using a two-step transformation. Initially, the equations of motion are derived for a dynamically equivalent constrained system of particles that replaces the rigid bodies by applying Newton's second law The equations of motion are then transformed to a reduced set in terms of the relative joint variables. Use of both Cartesian and joint variables produces an efficient set of equations without loss of generality For open chains, this process automatically eliminates all of the non-working constraint forces and leads to an efficient solution and integration of the equations of motion. For closed loops, suitable joints should be cut and few cut-joints constraint equations should be included for each closed chain. The chosen suspension includes open and closed loops with quarter-car model. The results of the simulation indicate the simplicity and generality of the dynamic formulation.

Design and Implementation of Cartesian Loop Chip for the Narrow-Band Walky-Talky (협대역 무전기용 카테지안 루프 칩 설계 및 구현)

  • 정영준;최재익;오승엽
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.9C
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    • pp.871-878
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    • 2002
  • The cartesian loop chip which is one of key devices in narrow-band Walky-Talky transmitter using RZ-SSB modulation method was designed and implemented with 0.35 ㎛ CMOS technology. The reduced size and low cost of transmitter were available by the use of direct-conversion and cartesian loop chip, which improved the power efficiency and linearity of transmitter. In addition, low power operation was possible through CMOS technology. The performance test results of transmitter showed -23㏈c improvement of IMD and -30㏈c below suppression of SSB characteristic in the operation of cartesian loop chip (closed-loop). At that time, the transmitting power was about 37㏈m (5W). The main parameters to improve the transmitting characteristic and to compensate the distortion in feed back loop such as DC-offset, loop gain and phase value are interfaced with notebook PC to be controlled with S/W.

${\gamma}$-FUZZY FILTER AND LIMIT STRUCTURE

  • Lee, Yoon-Jin
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.219-224
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    • 1998
  • We introduce the notion of ${\gamma}$-fuzzy filter and ${\gamma}$-limit structure to L-fuzzy point. We show that the category ${\gamma}$Lim of ${\gamma}$-limit spaces is a cartesian closed topological construct containing the category LFTop of stratified L-fuzzy topological spaces as a bireflective subcategory.

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H * H-FUZZY SETS

  • Lee, Wang-Ro;Hur, Kul
    • Honam Mathematical Journal
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    • v.32 no.2
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    • pp.333-362
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    • 2010
  • We define H*H-fuzzy set and form a new category Set(H*H) consisting of H*H-fuzzy sets and morphisms between them. First, we study it in the sense of topological universe and obtain an exponential objects of Set(H*H). Second, we investigate some relationships among the categories Set(H*H), Set(H) and ISet(H).

REMARKS ON DIGITAL HOMOTOPY EQUIVALENCE

  • Han, Sang-Eon
    • Honam Mathematical Journal
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    • v.29 no.1
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    • pp.101-118
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    • 2007
  • The notions of digital k-homotopy equivalence and digital ($k_0,k_1$)-homotopy equivalence were developed in [13, 16]. By the use of the digital k-homotopy equivalence, we can investigate digital k-homotopy equivalent properties of Cartesian products constructed by the minimal simple closed 4- and 8-curves in $\mathbf{Z}^2$.

Teleoperation Control of Omni-directional Mobile Robot with Force Feedback (힘 반향 기법을 이용한 전방향 이동 로봇의 원격 제어)

  • Lee, Jeong-Hyeong;Lee, Hyung-Jik;Jung, Seul
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.243-245
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    • 2007
  • This paper presents the implementation of teleoperation control of an omni-direction mobile robot. The master joystick robot has two degrees of freedom to control the movement of the slave mobile robot in the Cartesian space. In addition, the whole teleoperated control system is closed by the force feedback. The operator can feel the contact force as the slave robot makes contact with the environment. Experimental results show that the teleooerated control with force feedback has been successfully implemented.

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