• 제목/요약/키워드: spatial wavenumber

검색결과 26건 처리시간 0.023초

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.

Distortions of Spherical Data in the Wavenumber Domain

  • Kim, Jeong-Woo;Lee, Dong-Cheon
    • 대한원격탐사학회지
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    • 제18권3호
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    • pp.171-179
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    • 2002
  • Sampling rates become inconsistent when spatial data in the spherical coordinate are resampled with respect to latitudinal or longitudinal degree for mathematical processes such as Fourier Transform, and this results in distortions of the processed data in the wavenumber domain. These distortions are more evident in the polar regions. An example is presented to show such distortions during the recovery process of free-air gravity anomalies from ERS-1 satellite radar altimeter data from the Barents Sea in the Russian Arctic, and a method is presented to minimize the distortion using the Lambert Conformal Conic map projection. This approach was found to enhance the free-air gravity anomalies in both data and wavenumber domains.

축대칭 3차원 물체의 유동 소음 스펙트럼 측정 (A measurement of flow noise spectrum of an axisymmetric body)

  • 박연규;김양한
    • 대한기계학회논문집B
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    • 제22권6호
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    • pp.725-733
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    • 1998
  • The pressure fluctuation on the surface of a submerged body has been recognized as a dominant noise source. There have been many studies concerning the flow induced noise on a flat plate. However, the noise over an axisymmetric body has not been well reported. This paper addresses the way in which we have investigated the mechanism of noise generation due to an axisymmetric body. The associated experiments and signal processing methods are introduced. A 3-dimensional axisymmetric body whose length and diameter were 2 m and 10.4 cm, was prepared as a test specimen. The wall pressure on the surface of the body was measured in a large scale low noise wind tunnel at KIMM(Korea Institute of Machinery and Metals). To measure the wall pressure, we used two microphone arrays which were tangential and normal to the flow. Based on the measured signal, frequency-wavenumber spectrum which explains the structure of turbulence noise, was estimated. Tangential to the flow, there exists convective ridge at a relatively higher wavenumber region; this can cause spatial aliasing. To circumvent this problem, the cross spectrum was interpolated. The interpolation has been performed by unwrapping the phase and smoothing the cross spectrum. The phase unwrapping was done based on the Corcos model; the phase of cross spectrum decreases linearly with the distance between microphones. Aforementioned signal processings are possible by employing the experimental results that the estimated wavenumber spectrum quite resembles the Corcos model. We try to modify the Corcos model which is applicable to the flat plate, by altering the magnitude of cross spectrum to fit the experimental data more accurately. We proposed that this wavenumber spectrum model is suitable for the 3-dimensional axisymmetric body. Normal to the flow, there exists a little correlation between signals of different microphones. The circumferential wavenumber spectrum contains uniform power along the wavenumbers.

국소 공간 웨이브넘버 필터링 기법을 이용한 평판 구조물 두께 측정 (Measuring Plate Thickness Using Spatial Local Wavenumber Filtering)

  • 강토;이정한;한순우;박진호;박규해;전준영
    • 비파괴검사학회지
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    • 제36권5호
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    • pp.370-376
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    • 2016
  • 구조물 표면은 부식으로 인하여, 크랙이나 감육이 발생할 수 있으며, 이로 인하여 구조물의 파단으로 귀결되어 많은 인명 피해와 재산 손실을 초래할 수 있다. 이에 따라, 박판 구조물이나 배관 구조물과 같이 검사 면적에 비해 두께가 얇은 구조물에 대한 레이저 영상화 기법은 최근 10여년간 꾸준히 연구가 진행되었다. 가장 많이 사용되는 방법으로는 펄스 레이저를 이용한 영상화 시스템이다. 이 방법을 이용하여 평판 구조물, 배관 등 다양한 구조물을 스캐닝하여 비교적 짧은 시간에 원하는 영역을 검사하고 영상화하는 기법이 개발되었다. 하지만, 이 기법은 음파가 결함에 의해 반사되는 반사파를 이용하여 영상화하는 기법으로 검사 위치마다 수 ms의 시간지연이 필요하며, 검사 위치마다 레이저 빔을 집속해주는 렌즈가 필요하여 고가의 복잡한 시스템이 필요하다. 본 연구에서는 연속 가진기법을 이용하여 구조물에 정상파(standing wave)를 가진하고, 이 정상파를 위치별로 스캐닝하여 결함을 영상화하는 기술을 제안하였다. 평판 구조물에 두께가 변화하는 결함을 인공적으로 삽입하여, 제안된 기술의 두께 변화 탐지 가능성을 제시하였다.

Normal Mode Approach to the Stability Analysis of Rossby-Haurwitz Wave

  • Jeong, Hanbyeol;Cheong, Hyeong Bin
    • 한국지구과학회지
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    • 제38권3호
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    • pp.173-181
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    • 2017
  • The stability of the steady Rossby-Haurwitz wave (R-H wave) in the nondivergent barotropic model (NBM) on the sphere was investigated with the normal mode method. The linearized NBM equation with respect to the R-H wave was formulated into the eigenvalue-eigenvector problem consisting of the huge sparse matrix by expanding the variables with the spherical harmonic functions. It was shown that the definite threshold R-H wave amplitude for instability could be obtained by the normal mode method. It was revealed that some unstable modes were stationary, which tend to amplify without the time change of the spatial structure. The maximum growth rate of the most unstable mode turned out to be in almost linear proportion to the R-H wave amplitude. As a whole, the growth rate of the unstable mode was found to increase with the zonal- and total-wavenumber. The most unstable mode turned out to consist of more-than-one zonal wavenumber, and in some cases, the mode exhibited a discontinuity over the local domain of weak or vanishing flow. The normal mode method developed here could be readily extended to the basic state comprised of multiple zonalwavenumber components as far as the same total wavenumber is given.

복합평판구조물의 고주파수 대역 유체/구조 연성 소음진동예측을 위한 에너지흐름유한요소해석 (Energy Flow Finite Element Analysis for High Frequency Acoustic and Vibrational Prediction of Complicated Plate Structures Considering Fluid-Structure Interaction)

  • 윤태흠;박영호
    • 대한조선학회논문집
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    • 제60권1호
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    • pp.20-30
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    • 2023
  • In this paper, the Energy Flow Finite Element Analysis (EFFEA) was performed to predict the acoustic and vibrational responses of complicated plate structures considering improved Fluid-Structure Interaction (FSI). For this, a new power transfer relationship was derived at the area junction where two different fluids are in contact on both sides of the plate. In order to increase the reliability of EFFEA of complicated plate structures immersed in a high-density fluid, the corrected flexural wavenumber and group velocity considering fluid-loading effect were derived. As the specific acoustic impedance of the fluid in contact with the plate increases, the flexural wavenumber of the plate increases. As a result, the flexural group velocity is reduced, and the spatial damping effect of the flexural energy density is increased. Additionally, for the EFFEA of arbitary-shaped built-up structures, the energy flow finite element formulation for the acoustic tetrahedral element was newly performed. Finally, for validation of the derived theory and developed software, numerical applications of complicated plate structures submerged in seawater or air were successfully performed.

주파수-파수 스펙트럼과 라돈변환을 이용한 희소 배열 기반 방위추정 기법 연구 (Direction finding based on Radon transform in frequency-wavenumber domain with a sparse array)

  • 최용화;김동현;김재수
    • 한국음향학회지
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    • 제38권2호
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    • pp.168-176
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    • 2019
  • 배열의 설계주파수보다 높은 주파수의 표적신호가 수신되는 경우 공간 에일리어싱에 의해 빔형성에 모호성이 발생한다. 이를 극복하기 위해 Abadi가 차주파수 빔형성 기법을 제안하였다. 하지만 차주파수 빔형성 기법은 차주파수의 값에 따라 최소한의 대역폭이 필요한 제약조건이 있다. 본 논문에서는 주파수-파수 스펙트럼의 특성과 라돈변환을 이용하여 공간 에일리어싱이 발생하는 표적신호의 방위를 추정하는 기법을 제안한다. 제안된 기법은 대역을 가지는 신호의 주파수 대역 내에서 방위추정의 모호성은 발생하지 않고, 표적의 방위를 추정할 수 있다. 하지만 대역을 가지는 신호에만 적용이 가능한 제약조건이 있다. 광대역 신호에 대해 시뮬레이션을 수행하여 알고리즘을 구현하고, 이를 SAVEX15 (Shallow Water Acoustic Variability EXperiment 2015)의 딱총새우 소음신호를 이용하여 차주파수 빔형성 기법의 결과와 비교 검증하였다.

원통셸의 진동 데이터에 대한 파수해석을 위한 공간신호처리 방법의 응용 연구 (Study on Application of Spatial Signal Processing Techniques to Wavenumber Analysis of Vibration Data on a Cylindrical Shell)

  • 길현권;이찬
    • 한국소음진동공학회논문집
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    • 제20권9호
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    • pp.863-875
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    • 2010
  • The vibration of a cylindrical shell is generated due to elastic waves propagating on the shell. Those elastic waves include propagating waves such as flexural, longitudinal and shear waves. Those also include non-propagating decaying waves, i.e. evanescent waves. In order to separate contributions of each type of waves to the data for the vibration of the cylindrical shell, spatial signal processing techniques for wavenumber analysis are investigated in this paper. Those techniques include Fast Fourier transform(FFT) algorithm, Extended Prony method and Overdetermined Modified Extended Prony method(OMEP). Those techniques have been applied to identify the waves from simulated vibration signals with various signal-to-noise ratios. Futhermore, the experimental data for in-plane vibration of the cylindrical shell has been processed with those techniques to identify propagating waves(longitudinal, shear and flexural waves) and evanescent waves.

다수의 음원을 사용한 공간의 소리 제어 방법론 (Spatial Manipulation of Sound using Multiple Sources)

  • 최정우;김양한;박영진
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.620-628
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    • 2005
  • Spatial control of sound is essential to deliver better sound to the listener's position in space. As it can be experienced in many listening environments, the quality of sound can not be manifested over every position in a hall. This motivates us to control sound in a region we select. The primary focus of the developed method has to do with the brightness and contrast of acoustic image in space. In particular, the acoustic brightness control seeks a way to increase loudness of sound over a chosen area, and the contrast control aims to enhance loudness difference between two neighboring regions. This enables us to make two different kinds of zone - the zone of quiet and the zone of loud sound - at the same time. The other perspective of this study is on the direction of sound. It is shown that we can control the direction of perceived sound source by focusing acoustic energy in wavenumber domain. To begin with, the proposed approaches are formulated for pure-tone case. Then the control methods are extended to a more general case, where the excitation signal has broadband spectrum. In order to control the broadband signal in time domain, an inverse filter design problem is defined and solved in frequency domain. Numerical and experimental results obtained in various conditions certainly validate that the acoustic brightness, acoustic contrast, direction of wave front can be manipulated for some finite region in space and time.

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