• 제목/요약/키워드: 오일러-베르누이 보

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지점운동을 받는 정정보의 동해석을 위한 동지점 유한요소 개발 (Moving Support Elements for Dynamic Finite Element Analysis of Statically Determinate Beams Subjected to Support Motions)

  • 김용우;정명조
    • 대한기계학회논문집A
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    • 제37권4호
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    • pp.555-567
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    • 2013
  • 지점운동을 받는 베르누이-오일러 보의 동적 유한요소해석을 위하여, 준정적 분해법을 사용하여 유한요소 정식화 및 지점운동 묘사를 위한 보요소를 개발하였다. 이 보요소들은 전통적인 2 절점 Hermitian 보 요소로서 기존의 모델링 방법을 그대로 따르면서 한 쪽 절점이 운동하는 지점과 일치하는 경우 해당 요소만을 본 연구에서 제안하는 요소로 대체하여 사용할 수 있도록 수식화하였다. 이 요소의 유용성과 정확성을 보이기 위해 지점운동을 받는 정정보들에 대해 수치실험을 실시하고 그 결과들을 이론해와 비교함으로써 사용이 간편함과 동시에 정확도가 매우 높다는 사실을 보였다.

적응제어 이론을 이용한 유연한 로봇팔의 제어 (The Control of Flexible Robot Arm using Adaptive Control Theory)

  • 한종길
    • 한국전자통신학회논문지
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    • 제7권5호
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    • pp.1139-1144
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    • 2012
  • 산업용 로봇의 하중률은 1대 10에서 1대 30이고, 3대 1의 하중률을 가지는 인간과 비교하여 매우 낮다. 다음 세대 로봇의 목표 중에 하나는 하중률이 될 것이고, 이것은 가벼운 로봇을 개발함으로 가능할 것이다. 2관절 유연한 로봇팔은 관절 축을 회전할 때 진동이 발생한다. 본 논문에서는 유연한 로봇팔의 진동 동력학은 오일러 베르누이의 보 이론과 라그랑지 방정식을 이용하여 구하였고, $\dot{D}-2C$가 skew symmetric이다는 사실을 사용하여, 계산량을 줄이는 리아프노프 안정도 이론을 이용한 단순한 구조의 새로운 제어기를 제안한다. 2링크 유연한 로봇에 대한 확정적인 적응제어 법칙을 제안하고, 시뮬레이션을 통하여 그 타당성을 보인다.

집중질량을 갖는 회전중심방향 자유단 외팔보의 진동해석 (Vibration Analysis of Rotating Inward Cantilever Beams With a Tip-Mass)

  • 이건호;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2014년도 추계학술대회 논문집
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    • pp.389-391
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    • 2014
  • The Vibration Analysis of Rotating Inward Beams Considering The Tip-Mass is presented based on Euler-Bernoulli beam theory. The frequency equations, which are coupled through gyroscopic coupling terms, are calculated using hybrid deformation variable modeling along with the Rayleigh-Ritz assumed mode methods. In this study, resulting system of ordinary differential equations shows the effects of angular speed, and Young's modulus ratio. It is believed that the results will be a reference with which other researchers and commercial FE analysis program, ANSYS can compare their results.

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회전하는 보의 유한요소해석을 위한 유리형상함수의 확장 (Extension of Rational Interpolation Functions for FE Analysis of Rotating Beams)

  • 김용우;정재호
    • 한국소음진동공학회논문집
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    • 제19권6호
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    • pp.591-598
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    • 2009
  • Starting from the rotating beam finite element in which the interpolating shape functions satisfy the governing static homogeneous differential equation of Euler-Bernoulli rotating beams, we derived new shape functions that satisfy the governing differential equation which contains the terms of hub radius and setting angle. The shape functions are rational functions which depend on hub radius, setting angle, rotational speed and element position. Numerical results for uniform and tapered cantilever beams with and without hub radius and setting angle are compared with the available results. It is shown that the present element offers an accurate method for solving the free vibration problems of rotating beams.

병진 및 회전 감쇠동흡진기를 사용한 보의 진동저감 (Beam Vibration Suppression with Translational and Rotational Damped Dynamic Vibration Absorbers)

  • 박성규;이시복
    • 한국소음진동공학회논문집
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    • 제26권6_spc호
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    • pp.721-728
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    • 2016
  • The combined rotational and translational dynamic vibration absorbers (DVA) with no dampers for the beam vibration control can effectively isolate the vibration within the external excitation force region. This paper investigates the damping efficacy for the combined rotational and translational dynamic vibration absorbers to impose some robustness to the DVA system for the excitation force frequency variation. The beam is assumed to be subjected to a concentrated harmonic excitation force. The solution to the problem is found based on Galerkin method.

회전하는 보의 유한요소해석을 위한 유리형상함수의 확장 (Extension of Rational Interpolation Functions for FE Analysis of Rotating Beams)

  • 김용우;정재호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 춘계학술대회 논문집
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    • pp.573-578
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    • 2009
  • Starting from the rotating beam finite element in which the interpolating shape functions satisfies the governing static homogeneous differential equation of Euler-Bernoulli rotating beams, we derived new shape functions that satisfies the governing differential equation which contains the terms of hub radius and setting angle. The shape functions are rational functions which depend on hub radius, setting angle, rotational speed and element position. Numerical results for uniform and tapered cantilever beams with and without hub radius and setting angle are compared with the available results. It is shown that the present element offers an accurate method for solving the free vibration problems of rotating beam.

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집중질량과 초기 비틀림을 갖는 회전중심방향 자유단 외팔보의 진동해석 (Vibration Analysis of Rotating Pre-twisted Inward Beams with a Concentrated Mass)

  • 이건호;유홍희
    • 한국소음진동공학회논문집
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    • 제25권6호
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    • pp.384-390
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    • 2015
  • The vibration analysis of rotating inward beams considering the pre-twisted is presented based on Euler-Bernoulli beam theory. The frequency equations, are calculated using hybrid deformation variable modeling along with the Rayleigh-Ritz assumed mode methods. In this study, resulting system of ordinary differential equations shows the effects of angular speed, and Young's modulus ratio. It is believed that the results will be a reference with which other researchers and commercial FE analysis program, ANSYS can compare their result.

길이를 따라 선형적으로 감소된 폭을 가지는 보의 굽힘 진동에 대한 정확해 (Exact Solutions for Bending Vibration of Beam with Linearly Reduced width Along Its Length)

  • 이정우;김정호;이정윤
    • 한국소음진동공학회논문집
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    • 제25권6호
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    • pp.420-425
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    • 2015
  • In this paper a transfer matrix method is developed to solve for bending vibration of beam with linearly reduced width, and subsequently used to determine the exact natural frequencies for such problems. The differential equation, shear force, and bending moment are derived from Hamilton's principle, and the roots of the differential equation are computed using the power series solution of the Frobenius method. The effect of various taper ratio for bending vibration of beam with linearly reduced width is investigated in detail, and to validate the accuracy of the proposed method the results computed are compared with those given from commercial software(ANSYS).

지지점 가속도에 의해 가진되는 보의 응력계산에 대한 거대질량법의 정확도 (Numerical Tests of Large Mass Method for Stress Calculation of Euler-Bernoulli Beams Subjected to Support Accelerations)

  • 김용우;최남석;정명조
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.188-193
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    • 2013
  • The large mass method for dynamic analysis of statically determinate beams subjected to in-phase support motions is justified by showing that the equation of motion of the beams under consideration is equivalent to that of large mass model of the beam when an appropriate large mass ratio is employed. The accuracy of the stress responses based on the beam large mass method is investigated through careful numerical tests. The numerical results are compared to analytic solutions and the comparison shows that the large mass method yields not only the time history of motion but also the distributions of bending moment and shear force accurately.

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동지점 유한요소를 이용한 정정보의 지진해석 (Seismic Analysis of Statically Determinate Beams Using Moving Support Finite Elements)

  • 김용우;이승열;정명조
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 춘계학술대회 논문집
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    • pp.194-199
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    • 2013
  • Using moving support finite elements, seismic analysis of statically-determinate beams subjected to support motions is performed to show its accuracy and its ease of use. Examples of cantilever and simply-supported beam subjected to support motions are illustrated and the numerical results are compared with the analytical solutions. The examples show the elements facilitate modeling beams with the conventional 2-noded, Hermitian, Euler-Bernoulli beam element. The comparisons of the results with analytical solutions show good agreements with high accuracy.

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