• Title/Summary/Keyword: Euler equation

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A study on decentralized adaptive control of robot manipulator (로보트 매니퓰레이터의 비집중 적응제어에 관한 연구)

  • 이상철;박성기;정찬수
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.183-187
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    • 1989
  • This paper presents on approach to the position control of a robot manipulator by using a decentralized adaptive control scheme. The large scale system is regarded as the system which consists of many subsystems having interconnection. In each subsystem, a local control system is composed by feedforward and feedback component, one computes the nominal torque from the Newton-Euler equation, the other computes the perturbation equation which reduce the position error of the manipulator along the nominal trajectory. A computer simulation studies was conducted to evaluate and compare the performances of the proposed manipulator control scheme with those of the PD control and centralized control schemes.

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Vibration Damping Analysis of Multi-Layered Viscoelastic Material (다층 점탄성재료의 진동감쇠 특성에 관한 연구)

  • 윤영식;황동환;이상조
    • Journal of KSNVE
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    • v.4 no.4
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    • pp.487-496
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    • 1994
  • Recently, the application of viscoelastic material in the field of vibration isolation has gradually increased due to its achievement in structural damping capacity, and many of the theoretical and experimental study has been carried out. In this study, the dynamic characteristics of the visoelastically supported cantilever beam, of which govering equation is based on the Bernoulli- Euler equation, is analyzed theoretically and experimentally. Expression for stiffness of multi-layered viscoelastic materal has been developed using variables such as frequency and number of layers, and further, based on this expression, damping characteristic of the beam is investigated with experimental verification.

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Design of Sensor Network for Estimation of the Shape of Flexible Endoscope (연성 대장내시경의 형상추정을 위한 센서네트워크의 설계)

  • Lee, Jae-Woo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.2
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    • pp.299-306
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    • 2016
  • In this paper, a method of shape prediction of an endoscope handling robot that can imitate a surgeon's behavior using a sensor network is suggested. Unit sensors, which are composed of a 3-axis magnetometer and 3-axis accelerometer pair comprise the network through CAN bus communication. Each unit of the sensor is used to detect the angle of the points in the longitudinal direction of the robot, which is made from a flexible tube. The signals received from the sensor network were filtered using a low pass Butterworth filter. Here, a Butterworth filter was designed for noise removal. Finally, the Euler angles were extracted from the signals, in which the noise was filtered by the low path Butterworth filter. Using this Euler angle, the position of each sensor on the sensor network is estimated. The robot body was assumed to consist of links and joints. The position of each sensor can be assumed to be attached to the center of each link. The position of each link was determined using the Euler angle and kinematics equation. The interpolation was carried out between the positions of the sensors to be able to connect each point smoothly and obtain the final posture of the endoscope in operation. The experimental results showed that the shape of the colonoscope can be visualized using the Euler angles evaluated from the sensor network suggested and the shape of serial link estimated from the kinematics chain model.

On Quasi-Euler's Differential Equation

  • Choi, Seong-Hwan
    • Journal of the military operations research society of Korea
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    • v.10 no.1
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    • pp.15-22
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    • 1984
  • 오일러의 미분 방정식은 보조 방정식을 이용하면 쉽게 일반해를 구할 수 있다. 정의된 유사-오일러 미분 방정식을 풀기 위해 규정된 조건을 만족토록 하면 보조 방정식을 이용하여 일반해를 쉽게 구할 수 있음을 보였다.

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A CELL BOUNDARY ELEMENT METHOD FOR A FLUX CONTROL PROBLEM

  • Jeon, Youngmok;Lee, Hyung-Chun
    • Journal of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.81-93
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    • 2013
  • We consider a distributed optimal flux control problem: finding the potential of which gradient approximates the target vector field under an elliptic constraint. Introducing the Lagrange multiplier and a change of variables the Euler-Lagrange equation turns into a coupled equation of an elliptic equation and a reaction diffusion equation. The change of variables reduces iteration steps dramatically when the Gauss-Seidel iteration is considered as a solution method. For the elliptic equation solver we consider the Cell Boundary Element (CBE) method, which is the finite element type flux preserving methods.

A developed hybrid method for crack identification of beams

  • Vosoughi, Ali.R.
    • Smart Structures and Systems
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    • v.16 no.3
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    • pp.401-414
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    • 2015
  • A developed hybrid method for crack identification of beams is presented. Based on the Euler-Bernouli beam theory and concepts of fracture mechanics, governing equation of the cracked beams is reformulated. Finite element (FE) method as a powerful numerical tool is used to discritize the equation in space domain. After transferring the equations from time domain to frequency domain, frequencies and mode shapes of the beam are obtained. Efficiency of the governed equation for free vibration analysis of the beams is shown by comparing the results with those available in literature and via ANSYS software. The used equation yields to move the influence of cracks from the stiffness matrix to the mass matrix. For crack identification measured data are produced by applying random error to the calculated frequencies and mode shapes. An objective function is prepared as root mean square error between measured and calculated data. To minimize the function, hybrid genetic algorithms (GAs) and particle swarm optimization (PSO) technique is introduced. Efficiency, Robustness, applicability and usefulness of the mixed optimization numerical tool in conjunction with the finite element method for identification of cracks locations and depths are shown via solving different examples.

A Study on Tunnel Entry Design Considering the Booming Noise Resulting from Micro-Pressure Wave (미기압파에 의한 터널 출구 소음 저감을 위한 고속철도 터널 형상 개선에 관한 연구)

  • 목재균;최강윤;유재석
    • Journal of KSNVE
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    • v.7 no.6
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    • pp.959-966
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    • 1997
  • In general, the booming noise intensity at tunnel exit is strongly related to the gradient of the compression wave front created by high speed train entering the tunnel. This paper presents some results in relation with the compression wave front produced when the high speed train enters a tunnel. Four kinds of tunnel entrance shape with real dimensions were studied to investigate the formation of compression wave front inside tunnel by train entering tunnel. Computations were carried out using three-dimensional compressible Euler equation with vanishing viscosity and conductivity of fluid. According to the results, the flow disturbances occured at tunnel entrance were eliminated by tunnel hood with same cross sectional area. The compression wave front is formed completely at 30-40m from tunnel entrance. The maximum pressure gradient of compression wave front is reduced by 29.8% for the inclined tunnel hood and reduced by 21.5% for the tunnel hood with holes at the top face with tunnel without hood. The length of the inclined hood is 15m and the length of the hood with holes is 20m.

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Bending Vibration Analysis of Width Tapered Beams with Concentrated Tip Mass (집중 질량을 갖는 폭 변단면 외팔보의 굽힘 진동 해석)

  • Lee, Jung Woo;Kwak, Jong Hoon;Lee, Jung Youn
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.12
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    • pp.822-829
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    • 2015
  • A transfer matrix method has been developed to determine the more accurate natural frequencies for the bending vibration of Bernoulli-Euler beam with linearly reduced width and a concentrated tip mass. The proposed method can be computed an infinite number of the natural frequencies using a single element. Using the differential equation, shear force, and bending moment in which can be deduced by the diverse variational principles, a transfer matrix is formulated. The roots of the differential equation are computed by the Frobenius method. The effect of the concentrated mass for the natural frequencies of width-tapered beams is examined through a parametric study, and to show the accuracy of the proposed method, the computed results compared with those obtained from commercial finite element analysis program(ANSYS).