• 제목/요약/키워드: harmonic functions

검색결과 277건 처리시간 0.025초

톤버스트 신호의 퓨리에 변환을 이용한 초음파 비선형 파라미터 측정에서 창함수가 미치는 영향 (Effect of Window Function for Measurement of Ultrasonic Nonlinear Parameter Using Fast Fourier Transform of Tone-Burst Signal)

  • 이경준;김종범;송동기;장경영
    • 비파괴검사학회지
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    • 제35권4호
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    • pp.251-257
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    • 2015
  • 톤버스트 신호를 이용한 초음파 비선형 파라미터 측정에서 기본파와 고조파 성분의 크기를 측정하기 위해 고속 퓨리에 변환(FFT)을 이용하는 경우, 유한시간 및 비주기성으로 인한 스펙트럼상의 사이드 로브와 누설로 인하여 고조파 성분의 크기를 정확하게 측정하는 것이 어렵게 된다. 이러한 문제를 극복하기 위해 창함수를 사용할 수 있는데, 본 연구에서는 해닝창과 터키창에 대해서 실제 실험신호를 대상으로 비선형 파라미터 측정에 미치는 영향을 비교, 분석하였다. 또한 톤버스트 개수가 창함수에 따라 어떤 영향을 미치는지에 대해서도 함께 분석하였다. 분석 결과, 창함수는 비선형 파라미터의 안정적인 측정에 효과적이며, 해닝창과 터키창은 동일한 측정 효과를 나타내었다. 단, 신호진폭을 정확하게 복원하기 위해서는 창함수마다의 고유한 진폭보정계수가 고려되어야 한다. 한편 톤버스트 개수가 많을수록 비선형 파라미터의 안정적 측정에 유리하지만 그렇지 않을 경우에는 해닝창이 터키창보다 다소 유리한 것으로 나타났다.

유한대판법에 의한 복합적층절판의 해석 (FINITE STRIP ANALYSIS OF FOLDED LAMINATED COMPOSITE PLATES)

  • 윤석호;한성천;장석윤
    • 한국강구조학회 논문집
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    • 제13권1호
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    • pp.41-52
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    • 2001
  • 본 연구에서는 복합재료로 구성된 구조물로서 박스거더와 같이 임의의 각도로 연결된 절판을 유한대판법으로 해석하였다. 각 적층판의 강성으로부터 적분에 의하여 판두께 방향의 전체 강성을 구하고 최소 포텐샬 에너지 이론으로부터 구한 평형방정식에 대입하여 전체 강성매트릭스를 구하였다. 슬래브나 박스거더의 변위 함수는 횡 방향의 Hermite 다항식과 종 방향의 조화함수의 결합으로 가정하였다. 종 방향 조화함수는 단부의 경계조건을 만족시키는 함수를 사용하였다. 해석시간의 단축 및 모델링이 쉽다는 장점을 가진 유한대판법은 복합적층 재료로 구성된 박스거더와 같은 절판해석의 경우에도 매우 정확한 해를 얻을 수 있다.

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Application of the Empirical Orthogonal Functions on the GRACE Spherical Harmonic Solutions

  • Eom, Jooyoung;Seo, Ki-Weon
    • 한국지구과학회지
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    • 제39권5호
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    • pp.473-482
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    • 2018
  • During the period of 2002 to 2017, the Gravity Recovery And Climate Experiment (GRACE) had observed time-varying gravity changes with unprecedented accuracy. The GRACE science data centers provide the monthly gravity solutions after removing the sub-monthly mass fluctuation using geophysical models. However, model misfit makes the solutions to be contaminated by aliasing errors, which exhibits peculiar north-south stripes. Two conventional filters are used to reduce the errors, but signals with similar spatial patterns to the errors are also removed during the filtering procedure. This would be particularly problematic for estimating the ice mass changes in Western Antarctic Ice Sheet (WAIS) and Antarctic Peninsula (AP) due to their similar spatial pattern to the elongated north-south direction. In this study, we introduce an alternative filter to remove aliasing errors using the Empirical Orthogonal Functions (EOF) analysis. EOF can decompose data into different modes, and thus is useful to separate signals from noise. Therefore, the aliasing errors are effectively suppressed through EOF method. In particular, the month-to-month mass changes in WAIS and AP, which have been significantly contaminated by aliasing errors, can be recovered using EOF method.

고차 전이함수를 이용한 해양구조물 거동의 비선형도 결정 (Determination of the Degree of Nonlinearity in the Response of Offshore Structures Using Higher Order Transfer Functions)

  • 백인열
    • 한국해안해양공학회지
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    • 제7권1호
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    • pp.116-125
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    • 1995
  • 파하중과 해류하중을 받는 단일 자유도계를 동적 해석하여 비선형 거동을 나타냄을 보이고 고차의 비선형 전이함수를 포함한 모델을 적용하여 그 비선형 차수를 알아낸다. 먼저 구조물에 단일 정현파, 두 파의 합성파 그리고 불규칙파 하중을 차례로 가하면서 각 하중조건마다 세가지 비선형 요인의 효과를 조사한다. 이로부터 단일 자유도계의 공진주파수에서 파의 에너지는 존재하지 않지만 비선형 요인에 의해 응답 성분이 나타남을 보인다. 다음으로 Volterra 급수에 근거한 고차 전이함수(higher order transfer function)모델을 적용하여 유연한 단일 자유도계의 비선형 거동이 성공적으로 모델화됨을 보이며 또한 비선형성이 2차나 3차로 명백히 나타남을 보인다.

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Human's Spatial Cognition Using Auditory Stimulation

  • Yu, M.;Park, Y.G.;Jeong, S.H.;Chong, W.S.;Kwon, T.K.;Hong, C.U.;Kim, N.G.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.202-205
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    • 2004
  • This paper represents the role of pinna in localizing target direction. Specially, this paper described what is the role of right-side pinna versus left-side pinna. In this experiment, one side of the pinna function was distorted intentionally by inserting a short tube on the ear canal. The localization error caused by right and left side pinna distortion was investigated. Since a laser pointer showed much less error (0.5%) in localizing target position than FASTRAK (30%) that has been generally used, it was used for the pointing task. It was found that harmonic components were not essential for the auditory target localization, however, non-harmonic nearby frequency components were more important to localize target direction of sound. We have found that the right pinna is one of the most important functions in localizing target direction and pure tone with only one frequency component is confusing for localization.

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A Study on the Improvement of the Performance of Power Amplifiers by Deflected Ground Structure

  • Lim, Jong-Sik;Lee, Young-Taek;Han, Jae-Hee;Nam, Sang-wook;Park, Jun-Seok;Ahn, Dal;Kim, Byung-Sung
    • Journal of electromagnetic engineering and science
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    • 제1권2호
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    • pp.146-155
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    • 2001
  • This paper describes the improvement in performance of power amplifiers by Defected Ground Structure (DGS) for several operating classes. Due to its excellent capability of harmonic rejection, DGS plays a threat role in improving the main performance of power amplifiers such as output power, power added efficiency, harmonic rejection, and intermodulation distortion (IMD3). In order to verify the improvement in performance of power amplifiers by DGS, measured data for a 30 Watts power amplifier with and without DGS attached under several operating classes are illustrated and compared. The principle of the performance improvement is described with simple Volterra nonlinear transfer functions. Also, the measured performance far two cases, i.e. with and without DGS, and the quantities of improvement fur the various operating classes are compared and discussed.

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Dynamic responses of a beam with breathing cracks by precise integration method

  • Cui, C.C.;He, X.S.;Lu, Z.R.;Chen, Y.M.;Liu, J.K.
    • Structural Engineering and Mechanics
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    • 제60권5호
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    • pp.891-902
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    • 2016
  • The beam structure with breathing cracks subjected to harmonic excitations was modeled by FEM based on Euler-Bernoulli theory, and a piecewise dynamical system was deduced. The precise integration method (PIM) was employed to propose an algorithm for analyzing the dynamic responses of the deduced system. This system was first divided into linear sub-systems, between which there are switching points resulted from the breathing cracks. The inhomogeneous terms due to the external excitations were tackled by introducing auxiliary variables to express the harmonic functions, hence the sub-systems are homogeneous. The PIM was then applied to solve the homogeneous sub-systems one by one. During the procedures, a predictor-corrector algorithm was presented to determine the switching points accurately. The presented method can provide solutions with an accuracy to a magnitude of $10^{-12}$ compared with exact solutions obtained by the theories of ordinary differential equations. The PIM results are much more accurate than Newmark ones with the same time step. Moreover, it is found that the PIM can maintain a high level of accuracy even when the time step increases within a relatively wide range.

Theoretical Analysis and Control of DC Neutral-point Voltage Balance of Three-level Inverters in Active Power Filters

  • He, Yingjie;Liu, Jinjun;Tang, Jian;Wang, Zhaoan;Zou, Yunping
    • Journal of Power Electronics
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    • 제12권2호
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    • pp.344-356
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    • 2012
  • In recent years, multilevel technology has become an effective and practical solution in the field of moderate and high voltage applications. This paper discusses an APF with a three-level NPC inverter. Obviously, the application of such converter to APFs is hindered by the problem of the voltage unbalance of DC capacitors, which leads to system instability. This paper comprehensively analyzes the theoretical limitations of the neutral-point voltage balancing problem for tracking different harmonic currents utilizing current switching functions from the space vector PWM (SVPWM) point of view. The fluctuation of the neutral point caused by the load currents of certain order harmonic frequency is reported and quantified. Furthermore, this paper presents a close-loop digital control algorithm of the DC voltage for this APF. A PI controller regulates the DC voltage in the outer-loop controller. In the current-loop controller, this paper proposes a simple neutral-point voltage control method. The neutral-point voltage imbalance is restrained by selecting small vectors that will move the neutral-point voltage in the direction opposite the direction of the unbalance. The experiment results illustrate that the performance of the proposed approach is satisfactory.

능동 및 수동격리기를 적용한 진동계에 있어서 힘의 전달에 관한 연구 (Power Transmission from a Vibrating Mass to a Supporting Elate through Isolators)

  • Jin-Woo Lee;Colin H. Hansen
    • 한국안전학회지
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    • 제16권4호
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    • pp.200-207
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    • 2001
  • 회전하는 기계에서 전달되는 조화적인 진동력이 수동 및 능동 진동 격리기를 통하여 중간 지지구조물에 어떻게 전달되는 것인가를 연구하였다. 이를 위하여 이론적인 모델은 모든 축에 대하여 수평과 수직방향의 힘과 모멘트를 고려하여 작성되었으며, 실험은 중간 구조물에 전달되는 회전방향 및 직선방향의 진동을 최소화하기 위하여 2단으로 구성된 중간 지지구조물에 부착된 진동 액츄에이터를 사용하였다. 진동원에 의하여 발생된 진동이 에러 센서에서 측정되었으며 제어원과 에러센서사이의 전달함수가 측정되었다. 1-100Hz사이의 주파수 범위에 있어서 기존의 수동격리기와 직렬로 설치된 능동격리기를 통하여 전달된 힘이 실제로 감소되었음을 실험결과를 통하여 확인하였다.

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3상 매트릭스 컨버터에 사용되는 옵셋전압 PWM 방법과 $V_{max}-V_{mid}$ PWM 방법의 비교분석 (Comparative Analysis of Offset Voltage PWM and $V_{max}-V_{mid}$ PWM Method for 3 Phase Matrix Converter)

  • 차한주;김우중
    • 전기학회논문지
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    • 제58권2호
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    • pp.285-291
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    • 2009
  • In this paper, comparative analysis of offset voltage PWM method and $V_{max}-V_{mid}$ PWM method for three-phase matrix converter is addressed by using a simple analytical and graphical method. Offset voltage PWM method calculates PWM patterns in terms of offset voltage and variable slope of carrier, and it simplifies matrix converter modulation algorithm significantly. $V_{max}-V_{mid}$ PWM method generates patterns by using two phases and maintaining a remaining phase to base phase, and it is implemented in the industrial products. The most important performance criterion of modulation method is a magnitude of current ripples and it is analytically modelled. The graphical illustration of theses complex multivariable functions make per-carrier cycle and per fundamental cycle behavior of two PWM methods understood. Two modulation methods are analysed with the analytical formulas and graphics, and the analysis shows offset voltage PWM method is superior to $V_{max}-V_{mid}$ PWM method with respect to input current ripples and output voltage ripples.