• Title/Summary/Keyword: direction vector

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Submanifolds of Codimension 3 in a Complex Space Form with Commuting Structure Jacobi Operator

  • Ki, U-Hang;Song, Hyunjung
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.133-166
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    • 2022
  • Let M be a semi-invariant submanifold with almost contact metric structure (𝜙, 𝜉, 𝜂, g) of codimension 3 in a complex space form Mn+1(c) for c ≠ 0. We denote by S and R𝜉 be the Ricci tensor of M and the structure Jacobi operator in the direction of the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a certain scalar 𝜃 ≠ 2c and any vector fields X and Y on M. In this paper, we prove that if it satisfies R𝜉𝜙 = 𝜙R𝜉 and at the same time S𝜉 = g(S𝜉, 𝜉)𝜉, then M is a real hypersurface in Mn(c) (⊂ Mn+1(c)) provided that $\bar{r}-2(n-1)c{\leq}0$, where $\bar{r}$ denotes the scalar curvature of M.

A Study on the Pseudoinverse Kinematic Motion Control of 6-Axis Arc Welding Robot (6축 아크 용접 로보트의 의사 역기구학적 동작 제어에 관한 연구)

  • Choi, Jin-Seob;Kim, Dong-Won;Yang, Sung-Mo
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.2
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    • pp.170-177
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    • 1993
  • In robotic arc welding, the roll (rotation) of the torch about its direction vector does not have any effect on the welding operation. Thus we could use this redundant degree of greedom for the motion control of the robot manipulator. This paper presents an algorithm for the pseudo- inverse kinematic motion control of the 6-axis robot, which utilizes the above mentioned redunancy. The prototype welding operation and the tool path are also graphically simulated. Since the proposed algorithm requires only the position and normal vector of the weldine as an input data, it is useful for the CAD-based off-line programming of the arc welding robot. In addition, it also has the advantages of the redundant manipulator motion control, like singularity avoidance and collision free motion planning, when compared with the other motion control method based on the direct inverse kinematics.

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An analysis on the Earth geoid surface variation effect for use of the tilt sensor in celestial navigation system

  • Suk, Byong-Suk;Yoon, Jae-Cheol;Lyou, Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1867-1870
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    • 2005
  • The celestial navigation is one of alternatives to GPS system and can be used as a backup of GPS. In the celestial navigation system using more than two star trackers, the vehicle's ground position can be solved based on the star trackers' attitude information if the vehicle's local vertical or horizontal angle is given. In order to determine accurate ground position of flight vehicle, the high accurate local vertical angle measurement is one of the most important factors for navigation performance. In this paper, the Earth geophysical deflection was analyzed in the assumption of using the modern electrolyte tilt sensor as a local vertical sensor for celestial navigation system. According to the tilt sensor principle, the sensor measures the tilt angle from gravity direction which depends on the Earth geoid surface at a given position. In order to determine the local vertical angle from tilt sensor measurement, the relationship between the direction of gravity and the direction of the Earth center should be analyzed. Using a precision orbit determination software which includes the JGM-3 Earth geoid model, the direction of the Earth center and the direction of gravity are extracted and analyzed. Appling vector inner product and cross product to the both extracted vectors, the magnitude and phase of deflection angle between the direction of gravity and the direction of the Earth center are achieved successfully. And the result shows that the angle differences vary as a function of latitude and altitude. The maximum 0.094$^{circ}$angle difference occurs at 45$^{circ}$latitude in case of 1000 Km altitude condition.

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Development of Load-Cell-Based Anemovane (로드셀형 풍향풍속계 개발)

  • Jeon, Byeong Ha;Han, Dong Seop;Lee, Kwon-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.5
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    • pp.685-691
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    • 2013
  • A load-cell-type anemovane operates based on wind vector properties. The developed load-cell-type anemovane is of a fixed type in which the wing does not rotate, unlike in the case of existing anemovanes. The load-cell-type anemovane is required to accurately derive the correlation between the load ratio and the wind direction in order to develop a qualified product. This is because the load ratio repeats every $90^{\circ}$ owing to the use of four load cells, and its value varies nonlinearly according to the wind direction. In this study, we compared analytical results with experimental results. Fluid analysis was carried out using ANSYS CFX. Furthermore, the prototype was tested using a self-manufactured wind tunnel. The wind direction was selected as the design variable. 13 selected wind direction conditions ranging from $0^{\circ}$ to $90^{\circ}$ with an interval of $7.5^{\circ}$ for analysis were defined. Furthermore, 10 wind direction conditions with an interval of $10^{\circ}$ for the experiment were defined. We derived the relations between the pressure ratio and the wind direction through the experiment and fluid analysis.

The DSRR Organizing Algorithm for Efficient Mobility Management in the SIP (SIP에서의 효율적인 이동성 관리를 위한 방향성 사전등록영역 구성 알고리즘)

  • 서혜숙;한상범;이근호;황종선
    • Journal of KIISE:Information Networking
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    • v.31 no.5
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    • pp.490-500
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    • 2004
  • In mobile/wireless environment, mobility management is widely being focused as one popular researches. But, disruption happens when messages are exchanged between nodes as registration is made after handoff, and unnecessary traffic occurs because of the use of the Random-walk model, in which the probability for MN to move to neighboring cells is equal. In order to solve these problems, this study proposes a technique and algorithm for composing Directional Shadow Registration Region (DSRR) that provides seamless mobility. The core of DSRR is to prevent disruption and unnecessary traffic by minimizing the number o) neighboring cells with a high probability of handoff (AAAF). This study sensed the optimal time for handoff through regional cell division by introducing a division scheme, and then decided DSRR, the region for shadow registration, by applying direction vector (DV) obtained through directional cell sectoring. According to the result of the experiment, the proposed DSRR processes message exchange between nodes within the intra-domain, the frequency of disruptions decreased significantly compared to that in previous researches that process in inter-domain environment. In addition, traffic that occurs at every handoff happened twice in DSRR compared to n (the number of neighboring cells) times in Previous researches. As an additional effect, divided regions obtained from the process of composing DSRR filter MN that moves regardless of handoff.

A Location Management Scheme using Direction Characteristics of Mobile Terminals in Mobile Communication Systems (이동 통신 시스템에서 이동 단말의 방향성을 고려한 위치 관리 기법)

  • 김태수;송의성;한연희;황종선;길준민
    • Journal of KIISE:Information Networking
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    • v.30 no.1
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    • pp.48-64
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    • 2003
  • Recently, as the number of mobile users keeps increasing explosively, the location management to track the mobile users in mobile communication systems is being more important. However, the previous location management schemes have been used static location information without the consideration of a user's moving direction. This results in unnecessary pagings, consequently it increases location management costs. In this paper, we propose a mew location management costs. In this paper, we propose a new location the cell occurred a location update. It also determines whether the location update will be executed or not, by the offset operation of direction vector. Thus, a user's paging areas are generated dynamically along the user's moving direction. The wide of paging areas is also determined dynamically. Besides, we present analytic model for our scheme. To compare with our scheme, the distance-based scheme is analyzed. The numerical result shows that our scheme is more efficient than the distance-based scheme in the most cases except a low CMR. Particularly if a user move into a specific direction, our scheme has the lower location management cost than that of the distance-based scheme.

The Design of a Wind Speed & Direction Module and a DSP Sensor Interface System for the Meteorological System (기상계측시스템을 위한 풍향.풍속모듈 및 DSP 센서 인터페이스시스템 설계)

  • Song, Do-Ho;Joo, Jae-Hun;Ock, Gi-Tae;Kim, Sang-Gab;Choi, Jung-Keyng
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.11 no.8
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    • pp.1478-1485
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    • 2007
  • In this paper, a meteorological system including a wind speed & direction module and the DSP(Digital Signal Processor) sensor interface circuit board are proposed. This DSP system accepts and process the informations from a wind speed & direction module, the atmospheric pressure sensor, the ambient air temperature sensor and transfers it to the PC monitoring system. Especially, a wind speed & direction module and a DSP hardware are directly designed and applied. A wind speed & direction module have a construction that it have four film type RID(Resistive Temperature Detectors) resistive sensor adhered around the circular metal body heated constantly by heating coil for obtaining vector informations about wind. By this structure, the module is enabled precise measurement having a robustness about vibration, humidity, corrosion. A sensor signal processing circuit is using TMS320F2812 TI(Texas Instrument) Corporation high speed DSP. An economical meteorological system could be constructed through the data from wind speed & direction module and by the fast processing of DSP interface circuit board.

Antenna array for estimation of direction of arrival utilizing modified minimum eigenvalue searching (개선된 MES 방법을 이용한 신호의 도래각(DOA) 추정을 위한 배열안테나)

  • 이현배;최승원
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.4
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    • pp.164-173
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    • 1996
  • This paper presents an alternative technique for DOA (direction-of-arrival) estimation. For generating a weight vector orthogonal to the signal subspace, a modified version of MES (minimum eigenvalue searching ) method is introduced. The performance of the proposed technique is compared to that of the conventional ED (eigen decomposition) method in terms of angle resolution for a number of snapshots during agiven observation period as well as various SNR's. In addition, the superiority of the suggested technique is shown, by analyzing the required computational load of the proposed MES and conventional ED method. A novel procedure of simplifying the MES proposed in [1] is presented on that purpose. Another advnatage of the proposed technique is that it is performed independently of the detection of the number of signal components, which makes it possible to estimate the DOA's of clusters consisting of infinite number of inseparable signal components.

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Three-Dimensional Nonlinear Analysis of Reinforced Concrete Beam with Shear Reinforcements (전단보강된 철근 콘크리트 보의 3차원 거동해석)

  • 주영태;정헌주;이용학
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.431-436
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    • 2001
  • Lateral confining effect due to the existence of the shear reinforcements in R.C. beam is investigate in a numerical way. For the purpose, a three dimensional constitutive model of concrete is developed based on the elasto-plasticity using non-associated plastic flow rule to control the excessive inelastic dilatancy. The plastic flow direction is determined based on the associated plastic flow direction in a way to adjust the directional angle between the two normal vector components along the hydrostatic and deviatoric axis in a meridian plane in which the loading function prescribed. The current formulation is combined with the four parameter elasto-plastic triaxial concrete model recently developed. The resulting elasto-plastic triaxial concrete model predicts the fundamental behaviors of concrete under different confining levels and the 4-points flexural test of a beam with shear reinforcements, compares with the experimental results.

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BACKPROPAGATION BASED ON THE CONJUGATE GRADIENT METHOD WITH THE LINEAR SEARCH BY ORDER STATISTICS AND GOLDEN SECTION

  • Choe, Sang-Woong;Lee, Jin-Choon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.107-112
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    • 1998
  • In this paper, we propose a new paradigm (NEW_BP) to be capable of overcoming limitations of the traditional backpropagation(OLD_BP). NEW_BP is based on the method of conjugate gradients with the normalized direction vectors and computes step size through the linear search which may be characterized by order statistics and golden section. Simulation results showed that NEW_BP was definitely superior to both the stochastic OLD_BP and the deterministic OLD_BP in terms of accuracy and rate of convergence and might sumount the problem of local minima. Furthermore, they confirmed us that stagnant phenomenon of training in OLD_BP resulted from the limitations of its algorithm in itself and that unessential approaches would never cured it of this phenomenon.

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