• Title/Summary/Keyword: 선형 운동

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Steady State Amplitude Analysis for a Nonlinear Oscillating Cantilever Beam in Case of 1:1 Internal Resonance (비선형 진동 외팔보의 1:1 내부공진 경우 정상 상태 응답 해석)

  • 이수일;장서일;이장무
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.376-383
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    • 1996
  • 보(beam)는 기계 구조 및 항공 우주 구조물의 기본적인 요소로서, 특히 큰 동적 거동을 하는 경우는 비선형성이 두드러지게 나타나는 것으로 알려져 있고[4], 헬리콥터의 회전날개(rotor blade)나 두께가 얇은 고속회전 축등의 경우에는 비틀림(torsion)과 굽힘(bending) 운동이 비선형 연성되어 나타나게 된다. 이러한 비선형 연성 효과를 갖는 경우에는 운동의 양상이 복잡하게 전개된다. 따라서 본 연구에서는 비선형 연성운동이 생기는 이러한 단순 외팔보에 대해 비선형 진동 특성을 파악하고 각 비틀림(internal resonance)현상[5]에 따른 정상상태 진폭 응답의 해석을 그 목적으로 한다.

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Numerical Modeling of Short-Time Scale Nonlinear Water Waves Generated by Large Vertical Motions of Non-Wallsided Bodies (Non-Wallsided 물체의 연직운동에 의해 발생된 파의 비선형 해석을 위한 수치해석 모형의 연구)

  • Park, Jong-Hwan;;Troesch, Armin W.
    • Journal of Ocean Engineering and Technology
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    • v.7 no.1
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    • pp.33-55
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    • 1993
  • 선수충격파의 문제를 푸는데 있어서 Boundary Integral Method(BIM)의 여러가지 수치 해석방법이 검토되었으며, 특히 여러가지 Time stepping scheme, Green function, far-field 조건등에 따른 수치해석안정성과 정확성의 상관관계가 연구되었다. von Neumann 안정성해석과 matrix 안정성해석 등을 이용한 선형 안정성해석을 기초로하여, 수치해석방법의 안정성 여부를 체계적으로 조사할 수 있는 parameter(Free Surface Stability number)를 설정하고, 이 parameter의 변화에 따른 비선형 운동해석을 연구하였다. 그 결과 비선형성이 심하지 않은 기진파의 경우에서는 비선형 운동해석의 수치해석 안정성의 선형 수치해석 안정성과 큰 차이가 없음을 알 수 있게 된다.

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Chaos Control of the Pitch Motion of the Gravity-gradient Satellites in an Elliptical Orbit (타원궤도상의 중력구배 인공위성의 Pitch운동의 혼돈계 제어)

  • Lee, Mok-In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.2
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    • pp.137-143
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    • 2011
  • The pitch motion of a gravity-gradient satellite can be chaotic, depending on the ratio of mass moments of inertia and the eccentricity of the satellite orbit. For a precise prediction of motion, chaotic pitch motion has to be changed to non-chaotic motion. Feedback control can be used to obtain nonchaotic pitch motion. For chaos control and stabilization of the pitch motion of a gravity-gradient satellite, a feedback control system is designed, based on the linear nonautonomous system obtained by linearizing the nonlinear pitch motion. The control law obtained has two parameters and is applied to chaotic nonlinear pitch motion. The nonlinear control system satisfies the proposed control objectives in the range of the nonchaotic parameter space.

On the Study of Nonlinear Normal Mode Vibration via Poincare Map and Integral of Motion (푸앙카레 사상과 운동적분를 이용한 비선형 정규모드 진동의 연구)

  • Rhee, Huinam
    • Journal of KSNVE
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    • v.9 no.1
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    • pp.196-205
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    • 1999
  • The existence. bifurcation. and the orbital stability of periodic motions, which is called nonlinear normal mode, in a nonlinear dual mass Hamiltonian system. which has 6th order homogeneous polynomial as a nonlinear term. are studied in this paper. By direct integration of the equations of motion. Poincare Map. which is a mapping of a phase trajectory onto 2 dimensional surface in 4 dimensional phase space. is obtained. And via the Birkhoff-Gustavson canonical transformation, the analytic expression of the invariant curves in the Poincare Map is derived for small value of energy. It is found that the nonlinear system. which is considered in this paper. has 2 or 4 nonlinear normal modes depending on the value of nonlinear parameter. The Poincare Map clearly shows that the bifurcation modes are stable while the mode from which they bifurcated out changes from stable to unstable.

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Dynamic Stability Analysis of Patients with Degenerative Osteoarthritise during Walking (보행 시 퇴행성 관절염 환자의 동적 안정성 분석)

  • Ryu, Ji-Seon
    • Korean Journal of Applied Biomechanics
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    • v.18 no.1
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    • pp.21-30
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    • 2008
  • The purpose of this study was to investigate the variability to compare local dynamic stability via a linear and nonlinear analysis during walking. Twenty four elderly males, 12 healthy elderly and 12 patients with osteoarthritise walked on a treadmill for 100 consecutive strides. Lyapunov exponent and correlation dimension and coefficient variation were calculated for the kinematic parameters to determine the dynamic stability during walking. The linear measures indicated that the healthy elderly demonstrated significantly higher variability in the ankle joint displacement. The nonlinear analysis revealed that COD for the knee joint angle were higher in patient with osteoarthritise. There were no coincidence in results between linear and nonlinear techniques over two groups. In light of nonlinear analysis, it was concluded that patients with osteoathritise showed higher local instability during walking.

A Study on the analysis of ship motion using system identification method (시스템 식별법을 이용한 선체운동 해석에 관한 연구)

  • Song, Jaeyoung;Yim, Jeong-Bin
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2019.11a
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    • pp.271-271
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    • 2019
  • Estimating ship motion is difficult because it take place in complex environments.. Estimating ship motion is an important factor in ensuring the safety of ship, so accurate estimates are needed. Existing motion-related studies compare the apparent motion of the model acquired and the reference model by experimenting with the ship motion on a particular alignment, making it difficult to intuitively estimate the hull motion. This study introduces the concept of estimating the characteristics of ship motion as a transfer function through pole-zero interpretation and frequency response analysis by applying the method of transfer function of Linear-Time Invariant system. Ship motion analysis model using Linear-Time Invariant system is consist with 1) wave as input signal 2) ship motion as output signal 3) hull defined as black box. This model can be defined by numericalizing the ship motion as a transfer function and is expected to facilitate the characterization of the ship motion through pole-zero analysis and frequency response analysis.

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The Nonlinear Motions of Cylinders(II) - Translating and Heaving Problem, Body Motion in Waves - (주상체의 비선형 운동(II) -전진동요문제, 파랑중의 운동-)

  • H.Y. Lee;J.H. Hwang
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.45-64
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    • 1993
  • This paper dealt with the application of a numerical method developed by the authors using the matching method proposed in the previous paper on "The Nonlinear motions of cylinders(I)[16]", and Cauchy's theorem to the problems associated with hydrodynamic forces acting on a heaving cylinders translating in a calm water and also motions of cylinders in waves. In spectral method. body boundary condition in submerged case is satisfied exactly but one in floating case is not satisfied exactly. In the numerical code developed here, the boundary condition at the free-surface and body surface is satisfied exactly at its instaneous position. It is of interest to note that the present scheme could be applied to a free-surface-piercing body without experiencing a difficulty in the numerical convergence. The computed results are compared with other results([6], [12]).

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Test for Local Structural Identifiability of Linear Equations of Motion for Submergibles (몰수체 선형 운동방정식의 지역 구조 가식별성 조사)

  • Chan-Ki Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.1
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    • pp.15-21
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    • 1999
  • In this paper, the issue of local structural identifiability of linear equations of motion with non-linear parametrizations is discussed. The test method is resented that provides analytical expressions for information matrices of which the rack determines identifiability. And this method is applied to investigate local structural identifiability of linear equations of motion for a submergible vehicle. As a result, it is showed that with given parameters, the linear equations of motion do not satisfy the definition of local identifiabiliy according Glover & Willems.

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Hull Form Definition of Underwater Vehicle using NURBS Curve (NURBS곡선을 이용한 수중운동체의 선형정의)

  • Hyun-Cheol Kim;Seon-Sik Pyo;Soo-Young Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.2
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    • pp.1-9
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    • 1995
  • This paper suggests a numerical method that creates and varies hull form geometry of underwater vehicle. That is, it induces the cylindrical underwater vehicle from principal dimensions-total length, the length of parallel middle body, the coefficient defining entrance & run parts etc.-and represents using NURBS curve. Also, each section of hull form is varied by user interface and Sectional Area Curve is generated.

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A Study On Moment Estimator Using Disturbance Feedforward Compensator And Effective Disturbance Observer (외란 전향 보상기를 이용한 관성 추정기 및 효율적인 외란 관측기에 대한 연구)

  • Cho, Yong-Gyu;Kim, Min-Young;Kim, Joohn-Sheok
    • Proceedings of the KIEE Conference
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    • 2006.07b
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    • pp.976-977
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    • 2006
  • 선형전동기와 같은 선형운동을 하는 기기에서 원형운동을 하는 경우 속도가 0 이되는 부분에서 비선형적인 마찰력이 작용하며 이로 인한 운동괘적의 외곡 현상이 발생한다. 본 연구에서는 이러한 마찰력을 비롯한 모든 외란을 하나의 비선형적인 외란으로 간주하여 실용적으로 사용할 수 있는 간단한 형태의 외란 관측기를 제시한다. 또한 모든 외란 관측기에서 피할수 없는 문제의 하나인 전동기 관성(모멘트)의 변동 문제를 해결하기 위하여 제한적이지만 매우 효과적으로 관성을 추정해낼 수 있는 새로운 방법을 제안한다.

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