• Title/Summary/Keyword: Centripetal Acceleration

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Performance Analysis of the GPS Receiver under High Acceleration and Jerk Environments

  • Kwon, Byung-Moon;Moon, Ji-Hyeon;Choi, Hyung-Don
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • v.2
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    • pp.279-283
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    • 2006
  • The GPS receiver developed by KARI for the satellite launch vehicle should operate under severe dynamic environments such as high acceleration and jerk. Several terrestrial tests including the outdoor centrifuge test are planed in order to verify performances of the GPS receiver before flight. This paper deals with preliminary test results of the GPS receiver using a GPS signal generator before the centrifuge test that is a performance test of the GPS receiver using live GPS satellite signals. Test methods of the GPS receiver for the satellite launch vehicle under high centripetal acceleration and jerk utilizing a GPS signal generator are described. The simulation results are also analyzed in this paper.

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A SIMPLIFIED TREATMENT OF GRAVITATIONAL INTERACTION ON GALACTIC SCALES

  • Trippe, Sascha
    • Journal of The Korean Astronomical Society
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    • v.46 no.1
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    • pp.41-47
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    • 2013
  • I present a simple scheme for the treatment of gravitational interactions on galactic scales. In anal- ogy with known mechanisms of quantum field theory, I assume ad hoc that gravitation is mediated by virtual exchange particles-gravitons-with very small but non-zero masses. The resulting den- sity and mass profiles are proportional to the mass of the gravitating body. The mass profile scales with the centripetal acceleration experienced by a test particle orbiting the central mass, but this comes at the cost of postulating a universal characteristic acceleration $a_0{\approx}4.3{\times}10^{-12}msec^{-2}$ (or $8{\pi}a_0{\approx}1.1{\times}10^{-10}msec^{-2}$). The scheme predicts the asymptotic flattening of galactic rotation curves, the Tully-Fisher/Faber-Jackson relations, the mass discrepancy-acceleration relation of galaxies, the surface brightness-acceleration relation of galaxies, the kinematics of galaxy clusters, and "Renzo's rule" correctly; additional (dark) mass components are not required. Given that it is based on various ad-hoc assumptions and given further limitations, the scheme I present is not yet a consistent theory of gravitation; rather, it is a "toy model" providing a convenient scaling law that simplifies the description of gravity on galactic scales.

Trajectory Planning of Industrial Robot using Spline Method in Task Space (직교좌표공간에서의 스플라인을 이용한 산업용 로봇의 궤적 생성 방법)

  • Chung, Seong Youb;Hwang, Myun Joong
    • Journal of Institute of Convergence Technology
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    • v.6 no.2
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    • pp.9-13
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    • 2016
  • Robot usually requires spline motion to move through multiple knots. In this paper, catmull-rom spline method is applied to the trajectory planning of industrial robot in task space. Centripetal catmull-rom is selected to avoid self-intersection and slow motion which can be occurred in uniform and chordal spline. The method to set two control points are proposed to satisfy velocity conditions of initial and final knots. To optimize robot motion, time scaling method is presented to minimize margin between real robot value and maximum value in velocity and acceleration. The simulation results show that the proposed methods are applied to trajectory planning and robot can follow the planned trajectory while robot motion does not exceed maximum value of velocity and acceleration.

Dynamic Contact Analysis of a Wheel Moving on an Elastic Beam with a High Speed (탄성 보 위를 고속 주행하는 바퀴의 동접촉 해석)

  • Lee, Ki-Su
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.5
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    • pp.541-549
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    • 2008
  • The dynamic contact between a high-speed wheel and an elastic beam is numerically analyzed by solving the whole equations of motion of the wheel and the beam subjected to the contact condition. For the stability of the numerical solution, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Through the numerical examples, it is shown that the acceleration contact constraint including the Coriolis and centripetal accelerations are crucial for the numerical stability.

Mechanical Stability Evaluation of Thin Film with Spin-coater (스핀코터를 이용한 박막의 기계적 안정성 평가)

  • Kim, Ji Eun;Kim, Jung Hwan;Hong, Seongchul;Cho, HanKu;Ahn, Jinho
    • Journal of the Semiconductor & Display Technology
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    • v.15 no.1
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    • pp.6-11
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    • 2016
  • For high volume manufacturing using extreme ultraviolet (EUV) lithography, mask protection from contamination during lithography process must be solved, and EUV pellicle is the strongest solution. Based on the technical requirements of EUV pellicle, EUV pellicle should have large membrane area ($110{\times}140mm^2$) with film transmittance over 90% and mechanical stability. Even though pellicle that satisfies size standard with high transmittance has been reported, its mechanical stability has not been confirmed, nor is there a standard to evaluate the mechanical stability. In this study, we suggest a rather simple method evaluating mechanical stability of pellicle membrane using spin-coater which can emulate the linear accelerated motion. The test conditions were designed by simulating the acceleration distribution inside pellicle membrane through correlating the linear acceleration and centripetal acceleration, which occurs during linear movement and rotation movement, respectively. By these simulation results, we confirmed the possibility of using spin-coater to evaluate the mechanical stability of EUV pellicle.

Study on Some Problems in the Measurement and Estimation of 6 Degree of Freedom Head Vibration in Very Low Frequency Range (극 저주파 범위에서의 인체 머리부 6자유도 진동 측정 및 추정시의 문제점에 대한 연구)

  • 이정훈;고홍석;김광준;장한기
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.621-626
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    • 2002
  • Two problems in the measurement of 6-DOF head vibration in very low frequency range were investigated in this study. One is how much error was involved in the estimation of three rotational and three translational motion at any specified point from measured 6 translational accelerations. The other is quantitative and qualitative influence of gravity on DC and AC component of the estimated accelerations in 6 degree of freedom, which were derived from pick-ups fixed on a helmet. In the study the effect of nonlinear terms on the estimation of 6 degree of freedom accelerations was negligible but gravity effect must be considered carefully.

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Dynamic Analysis of the Pantograph of a High-speed Electrical Train Considering Contact and Separation (고속 전철 급전기의 접촉 분리를 고려한 동역학적 해석)

  • Lee, Ki-Su
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.6 s.111
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    • pp.634-642
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    • 2006
  • For the analysis of dynamic contact between a catenary and a pantograph of high-speed electrical train, the numerical solution of the equations of motion of the vehicle pantograph and the catenary system subjected to the contact condition is obtained. The whole equations of motion of the catenary and the pantograph are simultaneously time integrated with the strict application of the contact condition. For the stability of the numerical solution, with the cubic spline interpolation of the catenary displacement, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Especially it is shown that the Coriolis and centripetal accelerations are critical for the accuracy and stability of the computation.

CAN MASSIVE GRAVITY EXPLAIN THE MASS DISCREPANCY-ACCELERATION RELATION OF DISK GALAXIES?

  • Trippe, Sascha
    • Journal of The Korean Astronomical Society
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    • v.46 no.3
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    • pp.133-140
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    • 2013
  • The empirical mass discrepancy-acceleration (MDA) relation of disk galaxies provides a key test for models of galactic dynamics. In terms of modified laws of gravity and/or inertia, the MDA relation quantifies the transition from Newtonian to modified dynamics at low centripetal accelerations $a_c{\lesssim}10^{-10}ms^{-2}$. As yet, neither dynamical models based on dark matter nor proposed modifications of the laws of gravity/inertia have predicted the functional form of the MDA relation. In this work, I revisit the MDA data and compare them to four different theoretical scaling laws. Three of these scaling laws are entirely empirical; the fourth one - the "simple ${\mu}$" function of Modified Newtonian Dynamics - derives from a toy model of gravity based on massive gravitons (the "graviton picture"). All theoretical MDA relations comprise one free parameter of the dimension of an acceleration, Milgrom's constant aM. I find that the "simple ${\mu}$" function provides a good fit to the data free of notable systematic residuals and provides the best fit among the four scaling laws tested. The best-fit value of Milgrom's constant is $a_M=(1.06{\pm}0.05){\times}10^{-10}ms^{-2}$. Given the successful prediction of the functional form of the MDA relation, plus an overall agreement with the observed kinematics of stellar systems spanning eight orders of magnitude in size and 14 orders of magnitude in mass, I conclude that the "graviton picture" is sufficient (albeit probably not a necessary nor unique approach) to describe galactic dynamics on all scales well beyond the scale of the solar system. This suggests that, at least on galactic scales, gravity behaves as if it was mediated by massive particles.

Enhanced Attitude Determination with IMU using Estimation of Lever Arms (레버암 상태 추정을 이용한 IMU 의 자세 결정 알고리즘)

  • Fang, Tae Hyun;Oh, Jaeyong;Park, Sekil;Park, Byoun-Jae;Cho, Deuk-Jae
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.10
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    • pp.941-946
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    • 2013
  • In this paper, an enhanced method for attitude determination is proposed for systems using an IMU (Inertial Measurement Unit). In attitude determination with IMU, it is generally assumed that the IMU can be located in the center of gravity on the vehicle. If the IMU is not located in the center of gravity, the accelerometers of the IMU are disturbed from additive accelerations such as centripetal acceleration and tangential acceleration. Additive accelerations are derived from the lever arm which is the distance between the center of gravity and the position of the IMU. The performance of estimation errors can be maintained in system with a non-zero lever arm, if the lever arm is estimated to remove the additive accelerations from the accelerometer's measurements. In this paper, an estimation using Kalman filter is proposed to include the lever arm in the state variables of the state space equation. For the Kalman filter, the process model and the measurement model for attitude determination are made up by using quaternion. In order to evaluate the proposed algorithm, both of the simulations and the experiments are performed for the simplified scenario of motion.