• 제목/요약/키워드: Spectral density function

검색결과 221건 처리시간 0.022초

Simulation of nonstationary wind in one-spatial dimension with time-varying coherence by wavenumber-frequency spectrum and application to transmission line

  • Yang, Xiongjun;Lei, Ying;Liu, Lijun;Huang, Jinshan
    • Structural Engineering and Mechanics
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    • 제75권4호
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    • pp.425-434
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    • 2020
  • Practical non-synoptic fluctuating wind often exhibits nonstationary features and should be modeled as nonstationary random processes. Generally, the coherence function of the fluctuating wind field has time-varying characteristics. Some studies have shown that there is a big difference between the fluctuating wind field of the coherent function model with and without time variability. Therefore, it is of significance to simulate nonstationary fluctuating wind field with time-varying coherent function. However, current studies on the numerical simulation of nonstationary fluctuating wind field with time-varying coherence are very limited, and the proposed approaches are usually based on the traditional spectral representation method with low simulation efficiency. Especially, for the simulation of multi-variable wind field of large span structures such as transmission tower-line, not only the simulation is inefficient but also the matrix decomposition may have singularity problem. In this paper, it is proposed to conduct the numerical simulation of nonstationary fluctuating wind field in one-spatial dimension with time-varying coherence based on the wavenumber-frequency spectrum. The simulated multivariable nonstationary wind field with time-varying coherence is transformed into one-dimensional nonstationary random waves in the simulated spatial domain, and the simulation by wavenumber frequency spectrum is derived. So, the proposed simulation method can avoid the complicated Cholesky decomposition. Then, the proper orthogonal decomposition is employed to decompose the time-space dependent evolutionary power spectral density and the Fourier transform of time-varying coherent function, simultaneously, so that the two-dimensional Fast Fourier transform can be applied to further improve the simulation efficiency. Finally, the proposed method is applied to simulate the longitudinal nonstationary fluctuating wind velocity field along the transmission line to illustrate its performances.

일렬관군에서의 난류 후류특성에 관한 연구 (Turbulent Wake Flow around Tubes in Single Row Tube Banks)

  • 조석호;부정숙
    • 대한기계학회논문집
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    • 제13권5호
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    • pp.1023-1031
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    • 1989
  • 본 연구에서는 격자관군(in-line tube banks)과 엇갈림관군(staggered tube banks)에서의 유동특성을 해명하기 위한 기초로서, 일렬관군에 대해 유동특성을 통계적으로 조사한다. 이를 위해, 먼저 유동의 가시화와 관의 표면압력 측정실험이 행해진다. 또한, 통계적 기법의 도입을 통하여 관 주위의 평균속도, 난류강도, 파워 스펙트럼 밀도함수, 스트로홀수(strouhal number), 자기상관계수, 활률 밀도함수 등의 측정이 수행된다.

중약진 지역에서의 지진격리교량의 비용효율성 평가 (Cost Effectiveness Evaluation of Seismic Isolated Bridges in Low and Moderate Seismic Region)

  • 고현무
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2000년도 추계 학술발표회 논문집 Proceedings of EESK Conference-Fall 2000
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    • pp.440-447
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    • 2000
  • In order to evaluate the cost effectiveness of seismic isolation for bridges in low and moderate seismic region, a method of calculation minimum life-cycle cost of seismic-isolated bridges under specific acceleration level and soil condition is developed. Input ground motion is modeled as spectral density function compatible with response spectrum for combination of acceleration coefficient and site coefficient. Failure probability is calculated by spectrum analysis based on random vibration theories to simplify repetitive calculations in the minimization procedure. Ductility of piers and its effects on cost effectiveness are considered by stochastic linearization method. Cost function and cost effectiveness index are defined by taking into consideration the characteristics of seismic isolated bridges. Limit states for calculation of failure probability are defined on superstructure, isolator and pier, respectively. The results of example design and analysis show that seismic isolation is more cost-effective in low and moderate seismic region than in high seismic region.

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공탑속도 및 과잉공기비에 따른 석탄유동층연소로의 조업특성 (Effect of Excess Air and Superficial Air Velocity on Operation Characteristics in a Fluidized Bed Coal Combustor)

  • 장현태;차왕석;태범석
    • 한국안전학회지
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    • 제14권3호
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    • pp.84-92
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    • 1999
  • The effects of air velocity and excess air on combustion characteristics were studied in a fluidized bed combustor. The domestic low-grade anthracite coal with heating value of 2010 kcal/kg and the imported bituminous coal from Australia with heating value of 6520 kcal/kg were used as coal samples. The combustion characteristics of mixed fuels in a fluidized bed combustor could be interpreted by pressure fluctuation properties, ash distribution and gas emission. The properties of the pressure fluctuations, such as the standard deviation, cross-correlation function, dominant frequency and the power spectral density function, were obtained from the statistical analysis. From this study, the combustion region increased with increasing air velocity but decreased with excess air due to combustion characteristics of anthracite and bituminous coal.

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FOURIER'S TRANSFORM OF FRACTIONAL ORDER VIA MITTAG-LEFFLER FUNCTION AND MODIFIED RIEMANN-LIOUVILLE DERIVATIVE

  • Jumarie, Guy
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.1101-1121
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    • 2008
  • One proposes an approach to fractional Fourier's transform, or Fourier's transform of fractional order, which applies to functions which are fractional differentiable but are not necessarily differentiable, in such a manner that they cannot be analyzed by using the so-called Caputo-Djrbashian fractional derivative. Firstly, as a preliminary, one defines fractional sine and cosine functions, therefore one obtains Fourier's series of fractional order. Then one defines the fractional Fourier's transform. The main properties of this fractal transformation are exhibited, the Parseval equation is obtained as well as the fractional Fourier inversion theorem. The prospect of application for this new tool is the spectral density analysis of signals, in signal processing, and the analysis of some partial differential equations of fractional order.

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방향성 주파수 응답함수에서 입력 잡음의 영향 (The Effect of Input Noise for Directional Frequency Response Functions)

  • 강성우;서윤호;이종원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.735-741
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    • 2008
  • Identification of asymmetry and anisotropy of rotor system is important for diagnosis of rotating machinery. Directional frequency response functions (dFRFs) are known to be a powerful tool in effectively detecting the presence of asymmetry or anisotropy. In this paper, an input noise effect of dFRFs for rotors is estimated, when both asymmetry and anisotropy are present. The normalized random errors of the dFRFs are calculated to verify the validity of the method, which is demonstrated by numerical simulation with a simple rotor model.

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지상클러터에 대한 MTI 신호처리기의 성능 비교 방법에 관한 연구 (A Study on the Performance Comparison Method of MTI Signal Processors Against Ground Clutter)

  • 구연건;김두근
    • 한국통신학회논문지
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    • 제10권2호
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    • pp.82-87
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    • 1985
  • 一定한 펄스反復周波數로 動作하는 MTI信號處理器에 대하여 MTI필터나 積分器의 傳達函數가 주어졌을 때 地上클러터에 대한 性能 比較 方法을 考察하였다. MTI信號處理器는 橫斷필터(transversal filter)로, 클러터의 電力密度스펙트럼은 Gaussian形態로 모델화하였고, MTI信號處理器에 대한 MTI改善因子(Improvement Factor)를 算出하여 比較하였다. MTI필터 및 Hanning加重函數를 使用한 積分器와 이들의 從屬接續인 경우에 대하여 正規化된 스펙트럼 너비에 대한 MTI改善因子의 變化를 例示하였다.

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Nonstationary Random Process를 이용한 인공지진파 발생 -설계응답스펙트럼에 의한 파워스펙트럼의 조정- (Generation of Artificial Earthquake Ground Motions using Nonstationary Random Process-Modification of Power Spectrum Compatible with Design Response Spectrum-)

  • 김승훈
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1999년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Spring
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    • pp.61-68
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    • 1999
  • In the nonlinear dynamic structural analysis the given ground excitation as an input should be well defined. Because of the lack of recorded accelerograms in Korea it is required to generate an artificial earthquake by a stochastic model of ground excitation with various dynamic properties rather than recorded accelerograms. It is well known that earthquake motions are generally non-stationary with time-varying intensity and frequency content. Many researchers have proposed non-stationary random process models. Yeh and Wen (1990) proposed a non-stationary modulation function and a power spectral density function to describe such non-stationary characteristics. Satio and Wen(1994) proposed a non-stationary stochastic process model to generate earthquake ground motions which are compatible with design reponse spectrum at sites in Japan. this paper shows the process to modify power spectrum compatible with target design response spectrum for generating of nonstationary artificial earthquake ground motions. Target reponse spectrum is chosen by ATC14 to calibrate the response spectrum according to a give recurrence period.

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확률밀도함수와 KOMPSAT-3A를 활용한 산불피해강도 분류 (Forest Fire Severity Classification Using Probability Density Function and KOMPSAT-3A)

  • 이승민;정종철
    • 대한원격탐사학회지
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    • 제35권6_4호
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    • pp.1341-1350
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    • 2019
  • 본 연구는 산불 전후 KOMPSAT-3A 영상을 사용하여 산불피해지역을 분석하는 것을 목적으로 한다. KOMPSAT 시리즈 중 KOMPSAT-3A는 적외선 및 고해상도의 멀티 스펙트럼 밴드를 가진 VHR위성이다. 하지만, KOMPSAT-3A를 활용하여 산불피해강도를 분류하는 연구는 부족한 실정이다. 따라서 본 연구에서는 KOMPSAT-3A의 산불 피해강도를 분류하기 위한 새로운 알고리즘을 제시하는 것을 목표로 한다. 또한, 본 연구에서는 산불 피해지역에 대한 참조자료로 Sentinel-2로 생성한 dNBR을 사용하였다. 본 연구의 연구 지역은 2019년 4월 4일 강릉에서 발생한 산불 피해지역으로 선정하였다. 본 연구에서는 산불피해구간을 산정하기 위한 알고리즘으로 오픈 소스 통계 프로그램인 R software의 확률분포함수를 사용하였다. KOMPSAT-3A에서 산불 피해지역은 산불 전, 후 NDVI의 변화에 따라 생성되었다. 산불피해강도는 분포 함수의 표준 편차를 사용하여 각 등급 크기를 산정하였다. 총 5개 구간에 따른 산불 피해 강도가 효과적으로 분류되었다.

확률변수상태와 응답변화도 (Random Variable State and Response Variability)

  • 노혁천;이필승
    • 대한토목학회논문집
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    • 제26권6A호
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    • pp.1001-1011
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    • 2006
  • 재료인수, 기하인수 또는 작용하중 등에 불확실성을 가지는 구조에 대한 추계론적 해석의 정확해는, 일반적인 관점에서, 불확실성을 표현하는 추계장의 수치생성과 이에 대한 몬테카를로 해석을 통하여 얻을 수 있다. 그러나 불확실 인수의 공간적 분포를 나타내는 추계장은 그 특성을 표현해주는 두 가지의 함수를 동시에 만족시켜야 한다. 하나는 확률변수의 공간적 분포 상황을 표현해주는 스펙트럼밀도함수이며, 다른 하나는 통계적 특성을 나타내는 확률밀도함수이다. 일반적으로 이들 두 함수를 동시에 만족시키는 추계장의 정확한 수치생성은 여러 이유에서 어려운 일로 여겨지고 있다. 그러나 상관관계거리가 무한대인 확률변수상태의 경우 추계장은 상수추계장이 되며, 이 경우 스펙트럼밀도함수에 의하여 부과되는 제한조건은 사라지게 되어, 단순히 확률밀도함수에 대한 조건만이 남게 된다. 이 경우, 구조인수의 불확실성에 의한 구조응답은 확률밀도함수만을 고려하여 얻을 수 있게 된다. 이렇게 산정되는 응답변화도는 기존의 급수전개 및 섭동법 등의 수치해법은 물론 몬테카를로 해석에서도 얻을 수 없었던 정확해에 대한 준이론해를 제공해 줄 수 있다.