• Title/Summary/Keyword: 쿨롱 마찰

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Evaluation of Model equation Predicting Roll Force and Roll Power during Hot rolling (열간압연중 압연하중 및 압연동력 에측모델)

  • 황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.265-268
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    • 1999
  • 열간 박판 압연공정에서의 압연하중 압연동력을 실시간으로 계산할 수 있는 모델식을 유한요소 해석결과들을 이용하여 개발하였다 압연하중 압연동력값 결정에 비교적 큰 영향을 주는 인자들로는 형상계수 압하률, 률직경 률속도 스트립 입측온도, 탄소함량, 마찰계수들은 이론적으로 계산이 가능한 무마찰의 균일 평면 변형유 압축공정의 금형하중(F、) 동력 (P、)식을 도입함으로써 내삽모델식에서 제외시킬수 있었다 쿨롱마찰계수($\mu$) 0.3 일 경우의 유한요소해석 결과 데이터들을 내삽법(interpolation)을 통해서 다항식 형태로 {{{{ {F } over {F、 } }}}}, {{{{ { {P }_{f } } over { {P }_{d } } }}}}, {{{{ { {P }_{d } } over { {P }^{、 } } }}}} 식들을 구하였다 마찰계수에 따른{{{{ {F } over {F、 } }}}} {{{{ {P } over { {P }^{、 } } }}}}값의 변화는 형상계수에 따라 기울기가 결정되는 직선 형태로 나타내어짐을 유한요소해석 결과로부터 관찰 할 수 있었다. 이와같이 구한 압연하중 압연동력 모델식의 유효성을 검증하기 위해 무작위로 추출한 실제공정들에서 모델식으로 계산한 압연하중 압연동력 값들을 유한요소해석결과와 서로 비교해 보았다.

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Experimental Identification of Nonlinear Parameters in Frequency Domain (주파수영역에서 비선형 연결부 매개변수의 실험적 규명)

  • 김원진;박윤식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1993.04a
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    • pp.57-61
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    • 1993
  • 본 연구목적은 선형부분구조물과 그 부분구조물들을 결합하는 비선형연결부 로 이루어진 구조물을 해석하기 위해 비선형 연결부의 모델변화를 효과적으 로 규명하는데 있다. 제안된 방법은 시간영역에서만 계산이 가능하였던 힘- 상태 사상법을 주파수영역으로 확장함으로써, 전체구조물에서 선형부분구조 물들은 분리 해석이 가능하고, 시간영역의 많은 데이터를 줄일 수 있는 장점 이 있다. 제안된 방법의 타당성 및 장점을 검증하기 위해서 쿨롱마찰 비선형 특성을 갖는 두 가지의 구조물에 대하여 각각 실험적으로 연결부의 매개변 수를 규명하였다.

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쿨롱마찰을 갖는 유연 링크 로봇의 H$_2$ /H$_\infty$ 최적제어

  • 한성익;김종식
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.401-405
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    • 1996
  • A new method of nonlinear robust controller synthesis is introduced which is an extension of linear mixed $H_2/H_{\infty}$ control. This method guarantees robust stability fur hard nonlinearity and uncertainty of the plant. The method is applied to the control of a flexible link of robot with Coulomb friction. Simulation shows good performances with respect to the response and the robustness.

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A Study on the Robust Digital Tracking Control of a Robot with Flexible Joints (플렉시블한 관절을 갖고 있는 로보트의 강인한 디지탈 추적 제어에 관한 연구)

  • Kim, Jin-Geol
    • Journal of the Korean Society for Precision Engineering
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    • v.9 no.2
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    • pp.92-100
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    • 1992
  • 플렉시블한 관절을 가지고 있는 로보트에 대하여 계단(step) 혹은 경사(ramp) 함수로 기준입력이 주어졌을 때, 모델의 불확실성이나 외란 아래에서 추적오차가 없는 디지찰 제어기법을 제시하고 실제로 실험을 통하여 제어기를 MC 68000으로 구현함으로써 제안한 제어 알고리즘의 유용성을 보였다. 제어기 설계에 있 어서 고려한 사항들은 비선형 마찰력, 중력에 의한 외란, 구동기와 부하사이의 뒤틀림 스프링 효과, 구리고 측 정할 수 없는 상태변수들이다. 또한 미분불가능한 쿨롱마찰로 인하여 전체 시스템이 이산/연속 혼성 시스템이 되어 출력에서 나타나는 리미트 싸이클을 해석/추정하기 위하여 혼성 시스템에서의 기술함수(Describing Function) 법을 제시하였다.

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Vibration Analysis of an Amplitude Proportional Friction Damper System (변위비례식 마찰댐퍼 시스템의 진동해석)

  • 박동훈;최명진
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.5
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    • pp.171-179
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    • 2003
  • An Amplitude Proportional Friction Damper (APFD) is considered in order to improve the characteristics of Coulomb friction damper. The frictional force is proportional to the amplitude in APFD system and the system is non-linear as is Coulomb damper system. A free vibration analysis on the 1-DOF system has made to demonstrate the characteristics of the APFD system. The results show that APFD system has similar damping characteristics to the viscous damper. Also, the solution for the response of a base-excited system with APFD is developed through the application of a Fourier series to represent the frictional force of APFD. It is assumed that no stick-slips occur during any portion of the steady-state oscillation.

Impulse Response Analysis of an Amplitude Proportional Friction Damper System (변위비례식 마찰댐퍼 시스템의 임펄스 가진 응답해석)

  • 최명진;박동훈
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.5
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    • pp.377-384
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    • 2004
  • An Amplitude Proportional Friction Damper (APFD), in which the friction force is proportional to the system displacement, has been introduced and mathematically modeled. To understand the damping characteristics of APFD, analytical solutions for the impulse response has been derivedand compared to the viscous damper. It is found that APFD system has very similar damping characteristics to viscous damper even though it is a friction damper. APFD may be used as a cost-effective substitution for the viscous damper and could also be used to improve the simple friction or Coulomb dampersince APFD works with no stick-slip and always returns to original position when external disturbance is disappeared.

A Study on the Characteristics of an Amplitude Proportional Friction Damper (변위비례식 마찰댐퍼의 특성에 관한 연구)

  • 박동훈;최명진
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.717-720
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    • 2002
  • An Amplitude Proportional Friction Damper (APFD) system is considered in order to improve the stick-slip characteristics of Coulomb friction damper. The frictional force is proportional to the amplitude in APFD system and the system is non-linear as is Coulomb damper system. The free vibration analysis on an 1-DOF system has conducted to demonstrate the characteristics of the APFD system and the results show that the APFD system has similar damping characteristics to the viscous damper system. It is concluded that the APFD system may become a cost effective substitution for the viscous damper and it also has certain advantages over Coulomb damper system since the APFD system can be designed to work with no stick-slip.

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A Dry Friction Model to Realize Stick for Simulation of the System with Friction and Accuracy Verification of the Friction Model (마찰력이 작용하는 동적 시스템의 점착 구현을 위한 마찰모델 제안 및 정확성 검증)

  • Choi, Chan-Kyu;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.8
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    • pp.748-755
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    • 2012
  • Friction causes self-excited vibration, stick-slip vibration and any other friction-induced phenomena. That kinds of vibrations cause chatter and squeal. In order to predict such vibrations accurately, employing an accurate friction model is very important because a dynamic behavior of a system with friction is dominantly governed by a friction model. A Coulomb friction model is the most widely known model. Coulomb friction model is useful model to obtain analytical solutions of the system with friction and the model gives relatively good simulation result. However, defining a friction force at a stick state in simulation is hard because of the characteristic itself and a Coulomb friction model is discontinuous function between a static and a dynamic friction coefficient. Therefore, applying the Coulomb friction model to a simulation is not appropriate. In order to resolve these problems, an approximated Coulomb friction model was developed using simple and continuous function. However, an approximated Coulomb friction model cannot realize stick. Therefore, an approximated Coulomb friction model cannot describe friction phenomena accurately. In order to analyze a friction phenomenon accurately, a friction model for a simulation was proposed in this paper. A proposed friction model realizes stick and gives reasonably good results compared to results obtained by the simulation employing an approximated Coulomb friction model. Accuracy of a proposed friction model was verified by comparing experimental results.

Speed Sensorless Torque Monitoring During Machining on CNC Lathe (CNC 선반가공 중 속도 센서리스 토크 감시)

  • Hong, Ik-Jun;Kwon, Won-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.3
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    • pp.222-229
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    • 2004
  • In this paper, the torque of CNC spindle motor during machining is estimated without speed measuring sensor. The CNC spindle system is divided into two parts, the induction spindle motor part and mechanical part. In mechanical part, the variation of the frictional force due to the increment of the cutting torque and the effect of damping coefficient is investigated. Damping coefficient is found to be a function of spindle speed and not influenced by the weight of the load, while frictional force is a function of both the cutting torque and spindle speed. Experimental equations are drawn for damping coefficient and Coulomb friction as a function of spindle speed. Incremental frictional torque Is also obtained as a function of both cutting torque and spindle speed. Graphical programming is used to implement the suggested algorithm to monitor the torque of an induction motor in real time. Torque of the spindle induction motor is estimated well in about average 3% error range under various cutting conditions.

Anti-Sway Tracking Control of Container Cranes with Friction Compensation (마찰 보상을 갖는 컨테이너 크레인의 흔들림 억제 추종 제어)

  • Baek, Woon-Bo;Shin, Jin-Ho
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.21 no.6
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    • pp.878-884
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    • 2012
  • In this paper, we consider the sway suppression control problem for container cranes with the frictions between the trolley and the rail. If the friction effects in the system can be modelled, there is an improved potential to design controllers that can cancel the effects. The proposed control improves the trolley positioning and sway suppressing against various frictions. The proposed synthesis combines a variable structure control and the adaptive control to cope with various frictions including the unknown constants. First, the variable structure control with the simple switching action is designed, which is based on a class of feedback lineariztion methods for the fast stabilization of the under-actuated sway dynamics of container. Second, the adaptive control with a parameter estimation is designed, which is based on Lyapunov stability methods for suppressing the oscillation of the trolley travelling, especially due to Coulomb friction in the vicinity of the target position. The asymptotic stability of the overall closed-loop system is assured irrespective of variations of rope length. Simulation are shown under initial sway, external wind disturbances, and various frictions.