• 제목/요약/키워드: Damping Error

검색결과 201건 처리시간 0.031초

오차행렬에 의한 비선형 요소 위치 파악에 관한 연구 (Nonlinear elements position detecting by error matrix method)

  • 변언섭;이상설;박윤식
    • 대한기계학회논문집
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    • 제14권5호
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    • pp.1104-1111
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    • 1990
  • 본 연구에서는 다자유도계에 국부적으로 존재하는 비선형요소의 위치를 파악 하는 방법에 관하여 연구하였다. 이를 위해 먼저 기존의 등가선형화법으로 구한 등 가행렬에 비선형요소의 위치정보가 포함되어 있음을 밝혔다. 또한 등가행렬에 포함 된 위치정보를 효과적으로 이용하기 위하여 오차행렬법과 오차벡터법을 제시하였다. 제시된 두 방법이 계에 존재하는 국부 비선형요소의 위치파악에 적합한 방법임을 시뮬 레이션을 통하여 검증하였다. 특히 오차벡터법은 비선형요소의 연결상태 및 비선형 성 정도를 파악할 수 있는 방법으로 비선형계의 모델수립에 유용한 도구임을 보였다. 그리고 특수한 경우에는 등가선형화법으로 구한 등가 감쇠 및 등가 강성계수를 응답에 대하여 그래프로 표시하면 그 비선형 형태를 대략적으로 파악할 수 있음을 밝히고 시 뮬레이션으로 검증하였다.

Regulation control of a dc motor by ϵ-PID controller based on the frequency response analysis

  • Alhassan Dodo Adamou Soudeize;Ji-Sun Park;Ho-Lim Choi
    • 전기전자학회논문지
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    • 제27권4호
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    • pp.391-398
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    • 2023
  • In this paper, we propose an alternative analysis to regulate DC motors using a PID controller with a gain scaling factor. We start by providing a systematic design method for selecting the PID gains of our proposed controller by seeing the effect of ϵ on damping ratio, overshoot and settling time from the frequency response analysis. With the help of matlab (simulink), We proceed to show that the proposed controller provides robust stability against system parameter uncertainty and the effect of the gain scaling factor on steady-state error. The validity of our control method along with the analysis is verified with the simulation results.

Damage assessment of shear buildings by synchronous estimation of stiffness and damping using measured acceleration

  • Shin, Soobong;Oh, Seong Ho
    • Smart Structures and Systems
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    • 제3권3호
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    • pp.245-261
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    • 2007
  • Nonlinear time-domain system identification (SI) algorithm is proposed to assess damage in a shear building by synchronously estimating time-varying stiffness and damping parameters using measured acceleration data. Mass properties have been assumed as the a priori known information. Viscous damping was utilized for the current research. To chase possible nonlinear dynamic behavior under severe vibration, an incremental governing equation of vibrational motion has been utilized. Stiffness and damping parameters are estimated at each time step by minimizing the response error between measured and computed acceleration increments at the measured degrees-of-freedom. To solve a nonlinear constrained optimization problem for optimal structural parameters, sensitivities of acceleration increment were formulated with respect to stiffness and damping parameters, respectively. Incremental state vectors of vibrational motion were computed numerically by Newmark-${\beta}$ method. No model is pre-defined in the proposed algorithm for recovering the nonlinear response. A time-window scheme together with Monte Carlo iterations was utilized to estimate parameters with noise polluted sparse measured acceleration. A moving average scheme was applied to estimate the time-varying trend of structural parameters in all the examples. To examine the proposed SI algorithm, simulation studies were carried out intensively with sample shear buildings under earthquake excitations. In addition, the algorithm was applied to assess damage with laboratory test data obtained from free vibration on a three-story shear building model.

사진렌즈 설계에서 SVD에 의한 감쇠최소자승법의 수렴성과 안정성

  • 김태희;김경찬
    • 한국광학회지
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    • 제6권3호
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    • pp.178-187
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    • 1995
  • 렌즈 설계에 적합한 감쇠계수를 결정하는 방법을 연구하였다. 구해진 감쇠계수를 additive 감쇠최소 자승법에 도입하였을 때, triplet형 사진렌즈 설계에서 최적화 과정의 수렴성과 안정성에 관해서 조사하였다. 오차함수의 Jacobian 행열의 곱에 대한 고유값을 SVD(singular value decomposition)를 통해 구한 후 고유값들의 중간치를 적합한 감쇠계수로 결정하였다. 적합한 감쇠계수를 이용하여 triplet형 사진렌즈를 최적화한 결과 수렴성과 안정성이 향상되었다. 직교변환 방법으로 Jacobian 행열의 해를 구하면 정규 방정식을 사용하여 해를 구할 때 발생하는 수치적 부정확성을 개선할 수 있었다. 적합한 감쇠계수 선택법과 Jacobian 행열의 직교변환 방법을 같이 사용하는 것이 고차의 항들을 가지는 비구면 렌즈 설계에 유용함을 알 수 있었다.

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Numerical assessment of step-by-step integration methods in the paradigm of real-time hybrid testing

  • Verma, Mohit;Rajasankar, J.;Iyer, Nagesh R.
    • Earthquakes and Structures
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    • 제8권6호
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    • pp.1325-1348
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    • 2015
  • Real-time hybrid testing (RTHT) involves virtual splitting of the structure into two parts: physical substructure that contains the key region of interest which is tested in a laboratory and numerical substructure that contains the remaining part of the structure in the form of a numerical model. This paper numerically assesses four step-by-step integration methods (Central difference method (CDM), Operator splitting method (OSM), Rosenbrock based method (RBM) and CR-integration method (CR)) which are widely used in RTHT. The methods have been assessed in terms of stability and accuracy for various realistic damping ratios of the physical substructure. The stability is assessed in terms of the spectral radii of the amplification matrix while the accuracy in terms of numerical damping and period distortion. In order to evaluate the performance of the methods, five carefully chosen examples have been studied - undamped SDOF, damped SDOF, instantaneous softening, instantaneous hardening and hysteretic system. The performance of the methods is measured in terms of a non-dimensional error index for displacement and velocity. Based on the error indices, it is observed that OSM and RBM are robust and performs fairly well in all the cases. CDM performed well for undamped SDOF system. CR method can be used for the system showing softening behaviour. The error indices indicate that accuracy of OSM is more than other method in case of hysteretic system. The accuracy of the results obtained through time integration methods for different damping ratios of the physical substructure is addressed in the present study. In the presence of a number of integration methods, it is preferable to have criteria for the selection of the time integration scheme. As such criteria are not available presently, this paper attempts to fill this gap by numerically assessing the four commonly used step-by-step methods.

불완전 발달 유체 유동을 고려한 MR댐퍼 착륙장치 모델링 (Modeling of MR Damper Landing Gear Considering Incompletely Developed Fluid Flow)

  • 이효상;장대성;황재혁
    • 항공우주시스템공학회지
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    • 제15권1호
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    • pp.7-18
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    • 2021
  • 반능동형 MR댐퍼 착륙장치는 MR유체가 환형 유로를 지날 때 유체감쇠력 및 자장 제어 감쇠력을 발생시키는 댐퍼이다. 환형 유로를 지나는 MR 유체의 경우 필연적으로 불완전 발달 유동이 발생하게 되어, 이는 유체 감쇠력을 포함하는 댐퍼 내력 계산에 오차를 발생시키는 원인이 된다. 이로 인해 댐퍼 구조적 파라미터 설계 및 제어 이득 선정이 부정확해지며, 착륙장치의 동특성 및 충격흡수성능 저하를 초래하게 된다. 본 논문에서는 MR댐퍼 환형 유로의 입구영역에서 발생하는 추가적인 감쇠력을 고려한 MR댐퍼 착륙장치의 수학적 모델을 유도하였다. 본 논문에서 유도한 수학적 모델링을 MR댐퍼 착륙장치의 설계 및 최적화 과정에 적용한다면 좀 더 정확한 내력 예측으로 우수한 성능의 MR댐퍼 착륙장치를 설계할 수 있을 것으로 판단된다.

지진하중에 의해 발생된 가속도를 이용한 시간창 기법에 의한 구조물의 손상탐지 (Structural Damage Detection Using Time Windowing Technique from Measured Acceleration during Earthquake)

  • 박승근;이해성
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2005년도 학술발표회 논문집
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    • pp.529-535
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    • 2005
  • This paper presents a system identification (SI) scheme in time domain using measured acceleration data. The error function is defined as the time integral of the least squared errors between the measured acceleration and the calculated acceleration by a mathematical model. Damping parameters as well as stiffness properties of a structure are considered as system parameters. The structural damping is modeled by the Rayleigh damping. A new regularization function defined by the L1-norm of the first derivative of system parameters with respect to time is proposed to alleviate the ill-posed characteristics of inverse problems and to accommodate discontinuities of system parameters in time. The time window concept is proposed to trace variation of system parameters in time. Numerical simulation study is performed through a two-span continuous truss subject to ground motion.

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구조물 손상 탐지를 위한 시간 영역에서의 SI기법 (System Identification in Time Domain for Structural Damage Assessment)

  • 이해성;박승근
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.614-618
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    • 2003
  • This paper presents a system identification (SI) scheme in time domain using measured acceleration data. The error function is defined as the time integral of the least square errors between the measured acceleration and the calculated acceleration by a mathmatical model. Damping parameters as well as stiffness properties of a structure are considered as system parameters. The structural damping is modeled by the Rayleigh damping. A new regularization function defined by the L$_1$-norm of the first derivative of system parameters with respect to time is proposed to alleviate the ill-posed characteristics of inverse problems and to accommodate discontinuities of system parameters in time. The time window concept is proposed to trace variation of system parameters in time.

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물질의 진동감쇠 시험법 비교 (Test method comparison for vibration-damping of materials)

  • 신수현;이용봉;정성수;조승일
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.700-703
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    • 2003
  • The test method of ASTM E 756 and KS D 0076 to estimate vibration-damping properties is compared. Comparison method depending on specimen support, exciting method and calculation method for loss factor is used. Half-power bandwidth method and vibration decay method is used in the calculation method for loss factor, and Young's modulus is decided by geometric character and density for specimen and resonance frequency. Vibration measurement sensor is compared by using non-contact displacement detector, velocity detector and accelerometer. This paper is also presented the matter which is able to cause error in the measurement

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