• 제목/요약/키워드: modal perturbation method

검색결과 38건 처리시간 0.026초

모드 분리 제어기를 이용한 시스템 규명 : 히든 모드를 갖는 구조물에의 적용 (System Identification Using Mode Decoupling Controller : Application to a Structure with Hidden Modes)

  • 하재훈;박영진;박윤식
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.1334-1337
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    • 2006
  • System identification is the field of modeling dynamic systems from experimental data. As a modeling technique, we can mention finite element method (FEM). In addition, we are able to measure modal data as the experimental data. The system can be generally categorized into a gray box and black box. In the gray box, we know mathematical model of a system, but we don't know structural parameters exactly, so we need to estimate structural parameters. In the black box, we don't know a system completely, so we need to identify system from nothing. To date, various system identification methods have been developed. Among them, we introduce system realization theory which uses Hankel matrix and Eigensystem Realization Algorithm (ERA) that enable us to identify modal parameters from noisy measurement data. Although we obtain noise-free data, however, we are likely to face difficulties in identifying a structure with hidden modes. Hidden modes can be occurred when the input or output position comes to a nodal point. If we change a system using a mode decoupling controller, the hidden modes can be revealed. Because we know the perturbation quantities in a closed loop system with the controller, we can realize an original system by subtracting perturbation quantities from the closed loop system. In this paper, we propose a novel method to identify a structure with hidden modes using the mode decoupling controller and the associated example is given for illustration.

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속도변동성분을 갖는 회전디스크의 횡진동 안정성 해석 (Stability Analysis of Transverse Vibration of a Spinning Disk with Speed Fluctuation)

  • 신응수;이기녕;신태명;김옥현
    • 한국소음진동공학회논문집
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    • 제12권1호
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    • pp.21-28
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    • 2002
  • This paper intends to investigate the effects of speed fluctuation caused by the cogging torque in permanent magnetic motors on the stability of the transverse vibration for a spinning disk. Based on the Kirchhoff\`s plate theory and the assumed mode methods, a set of discretized equations of motion were derived for an annular disk rotating with a harmonically varying speed. Then, a perturbation method using the multiple time scales was employed and stability boundaries were determined explicitly in terms of the magnitude and frequency of speed fluctuation, a nominal sped and the modal characteristics of the disk. It is found that parametric resonance occurs at several speed ranges and a single mode or a combination of two modes are involved to cause instability. It is also observed that unstable regions become broadened as the spinning speed increases or two modes are combined in parametric instability. As numerical simulations, stability analysis of a conventional CD-ROM drive was performed. Results of this work can e used as guidelines for motor design and operations with low vibration.

Dynamic and reliability analysis of stochastic structure system using probabilistic finite element method

  • Moon, Byung-Young;Kang, Gyung-Ju;Kang, Beom-Soo;Cho, Dae-Seung
    • Structural Engineering and Mechanics
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    • 제18권1호
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    • pp.125-135
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    • 2004
  • Industrial structure systems may have nonlinearity, and are also sometimes exposed to the danger of random excitation. This paper proposes a method to analyze response and reliability design of a complex nonlinear structure system under random excitation. The nonlinear structure system which is subjected to random process is modeled by finite element method. The nonlinear equations are expanded sequentially using the perturbation theory. Then, the perturbed equations are solved in probabilistic methods. Several statistical properties of random process that are of interest in random vibration applications are reviewed in accordance with the nonlinear stochastic problem.

선형외란에 대응하는 인체의 자세응답 해석 (Human Postural Response to Linear Perturbation)

  • 김세영;박수경
    • 대한기계학회논문집A
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    • 제33권1호
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    • pp.27-33
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    • 2009
  • Human postural responses appeared to have stereotyped modality, such as ankle mode, knee mode and hip mode in response to various perturbations. We examined whether human postural control gain of full-state feedback could be decoupled along with the eigenvector. To verify the model, postural responses subjected to fast backward perturbation were used. Upright posture was modeled as 3-segment inverted pendulum incorporated with feedback control, and joint torques were calculated using inverse dynamics. Postural modalities such as ankle, knee and hip mode were obtained from eigenvectors of biomechanical model. As oppose to the full-state feedback control, independent eigenvector control assumes that modal control input is determined by the linear combination of corresponding modality. We used optimization method to obtain and compare the feedback gains for both independent eigenvector control and full-state feedback control. As a result, we found that simulation result of eigenvector feedback was not competitive in comparison with that of full-state feedback control. This implies that the CNS would make use of full-state body information to generate compensative joint torques.

구조물 손상평가를 위한 접합부 손상모델 및 신경망기법에 관한 연구 (A Study on Joint Damage Model and Neural Networks-Based Approach for Damage Assessment of Structure)

  • 윤정방;이진학;방은영
    • 한국지진공학회논문집
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    • 제3권3호
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    • pp.9-20
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    • 1999
  • 프레임 구조물의 접합부 손상을 평가하기 위하여 접합부 손상모델과 신경망기법을 이용한 손상평가기법을 제안하였다 구조물의 보-기둥 접합부를 접합부의 회전강성을 갖는 등가의 스프링요소로 표현하였으며 접합부의 손상도는 손상 전 후의 고정도계수의 감소비율로 정의하였다 손상평가를 위하여 다층퍼셉트론즈 신경망 기법을 제안하였으며 손상평가성능을 향상시키기 위하여 부분구조추정법, 노이즈첨가학습, 자료교란법등의 기법을 적용하였다 10층 프레임 구조물에 대한 수치 예제해석과 2층 프레임 구조물에 대한 실험 예제해석을 통하여 제안기법의 유용성을 평가하였다 계측지점이 일부분으로 제한되어 있고 계측자료에 심한 계측오차가 포함되어 있는 경우에도 손상평가가 합리적으로 이루어질수 있음을 알 수 있었다.

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랜덤 제조 오차를 고려한 모드 편재계수를 최소화하는 반복 배열 마이크로 공진기의 최적설계 (Design of MEMS Resonator Array for Minimization of Mode Localization Factor Subject to Random Fabrication Error)

  • 김욱태;이종원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.840-845
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    • 2005
  • This paper presents a robust optimal design method for a periodic structure type of MEMS resonator that is vulnerable to mode localization. The robust configuration of such a MEMS resonator to fabrication error is implemented by changing the regularity of periodic structure. For the mathematical convenience, the MEMS resonator is first modeled as a multi pendulum system. The index representing the measure of mode variation is then introduced using the perturbation method and the concept of modal assurance criterion. Finally, the optimal intentional mistuning, minimizing the expectation of the irregularity measure for each substructure, is determined for the normal distributed fabrication error and its robustness in the design of MEMS resonator to the fabrication error is demonstrated with numerical examples.

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랜덤 제조 오차를 고려한 모드 편재계수를 최소화하는 반복 배열 마이크로 공진기의 최적설계 (Design of MEMS Resonator Array for Minimization of Mode Localization Factor Subject to Random Fabrication Error)

  • 김욱태;이종원
    • 한국소음진동공학회논문집
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    • 제15권8호
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    • pp.931-938
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    • 2005
  • This paper presents a robust optimal design method for a periodic structure type of MEMS resonator that is vulnerable to mode localization. The robust configuration of such a MEMS resonator to fabrication error is implemented by changing the regularity of periodic structure For the mathematical convenience, the MEMS resonator is first modeled as a multi-pendulum system. The index representing the measure of mode variation is then introduced using the perturbation method and the concept of modal assurance criterion. Finally, the optimal intentional mistuning, minimizing the expectation of the irregularity measure for each substructure, is determined for the normal distributed fabrication error and its robustness in the design of MEMS resonator to the fabrication error is demonstrated with numerical examples.

불균일 결합선로에서 Riccati 해에 내재된 Null점의 최적 섭동과 결합도 제어 (Optimal Perturbation of Null Points Inherent to Riccati Solution and Control of Coupling in Nonuniform Coupled-Lines)

  • 박의준
    • 대한전자공학회논문지TC
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    • 제38권3호
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    • pp.35-43
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    • 2001
  • 반사형(혹은 역방향) 결합선로에서 원하는 결합도를 가질 수 있도록 모드 특성임피던스를 합성하는 방법을 새로이 제안하였다. 결합도를 나타내는 일차 비선형 미분방정식의 해 혹은 Riccati 해가 갖는 반복되는 lobe들의 최소점, 즉 null점들을 최적 섭동시키므로서 최적 합성이 이루어진다. 이 과정을 위해 일차원 배열 안테나의 공간인자 패턴 제어를 통한 일차원 비선형 소스 분포함수 합성법을 근간으로 하였으며, 기존의 우함수형 분포함수 합성을 기함수형까지 확장 적용할 수 있는 방법을 제시하였다. 그 결과로서 도출된 모드 특성임피던스들은 연속적이고 비선형적인 프로필을 가지게 된다. 합성된 우함수형 및 기함수형 분포함수에 대응되는, 비대칭형 및 대칭형 결합기들을 비교 분석하였으며, 기존의 설계방법에 비해 일반적이고 간단함을 보였다.

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SUBOPTIMAL VIBRATION CONTROL OF FLEXIBLE ROBOT BEARING SYSTEM BY USING A MAGNETIC BEARING

  • Lee, Chong-Won;Kim, Jong-Sun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
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    • pp.255-259
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    • 1989
  • A suboptimal output feedback controller is designed and applied to a flexible rotor bearing system in order to control the unstable or lilghtly damped vibrations. The reduced order model is the truncated modal equation of the distributed parameter system obtained through the singular perturbation. The instability problem arising from the spillover effects caused by the uncontrolled high frequency modes is prevented through the constrained optimization by incorporating the spillover term into the performance index. The efficiency of the proposed method is demonstrated experimentally with a flexible rotor by using a magnetic bearing.

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Timoshenko 보의 진동에 미치는 축방향관성력의 영향에 관하여 (Effects of the Longitudinal Inertia Force on Timoshenko Beam Vibration)

  • 이낙주
    • 대한기계학회논문집
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    • 제2권3호
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    • pp.62-68
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    • 1978
  • The influences of the large amplitude free vibrations of simply supported Timoshenko beams with ends restrained to remain a fixed distance apart and with no axial restraints, which cause a longitudinal elastic force and a longitudinal inertia force, respectively, are investigated. The equations of motion derived by an appropriate linearizarion of the nonlinear strain- displacement relation have nonlinear terms arising from large curvature, longitudinal elastic force and longitudinal inertia force. The fourth order nonlinear partial differential equations for the deflection, can be reduced to the nonlinear ordinary differential equations by means of Galerkin procedure and a modal expansion. The general response and frequensy-amplitude relations are derived by the perturbation method of strained parameters. Comparison with previously published results is made.