• 제목/요약/키워드: Double Fourier

검색결과 152건 처리시간 0.024초

2중 퓨리에 해석에 의한 망상하천에서 사주의 특성 분석 (Characteristics of Braid bars by Double Fourier Analysis)

  • 장창래
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2012년도 학술발표회
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    • pp.529-533
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    • 2012
  • 본 연구에서는 실내실험을 통하여, 하안침식을 고려한 망상하천에서 저수로의 이동특성을 조사하며, 2중 퓨리에 해석에 의하여 사주의 거동특성을 분석하였다. 실내실험은 평균입경이 1.4 mm이고, 표준편차가 1.35인 균일사로 10 cm 의 두께로 전체가 균등하게 채워진, 길이가 12 m, 넓이 2 m 수로에서 수행하였다. 각 시간별 하도의 지형변화에 대하여 2 중 Fourier 해석에 의한 지배적인 성분, 즉 모드(mode)의 변화를 분석하였다. 여기서 1-1 mode는 교호사주(alternate bars)이고, 1-2 mode와 2-2 mode는 2차 횡방향 모드로서 중앙 사주(central bars)를 나타낸다. 1-3 mode와 2-3 mode는 한 단면에서 횡방향으로 3개의 사주가 형성된 것(triple row bars)를 나타낸다. 초기에는 1-1 mode인 교호사주가 지배적이지만, 시간이 증가함에 따라, 교호사주인 1-1 mode는 감소하고, 한 단면에서 3개의 사주가 형성되는 2-3 mode가 지배적인 것으로 나타났다. 이러한 원인은 시간이 지나면서 사주가 발달하고, 하안침식이 되면서, 하폭이 증가하여 상대적으로 수심이 감소하면서 복렬사주가 발달하기 때문이며, Colombini 등(1987)이 이론적으로 예측한 결과와 잘 일치한다. 한 단면에서 3개의 모드가 나타나는 것은 하상에서 변화를 일으키는데 중요한 역할을 한다. 직선하도에서 사주의 수가 증가하는 것은 교호사주의 강한 비선형으로 상호작용하기 때문이다.

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Optical Image Encryption Technique Based on Hybrid-pattern Phase Keys

  • Sun, Wenqing;Wang, Lei;Wang, Jun;Li, Hua;Wu, Quanying
    • Current Optics and Photonics
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    • 제2권6호
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    • pp.540-546
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    • 2018
  • We propose an implementation scheme for an optical encryption system with hybrid-pattern random keys. In the encryption process, a pair of random phase keys composed of a white-noise phase key and a structured phase key are positioned in the input plane and Fourier-spectrum plane respectively. The output image is recoverable by digital reconstruction, using the conjugate of the encryption key in the Fourier-spectrum plane. We discuss the system encryption performance when different combinations of phase-key pairs are used. To measure the effectiveness of the proposed method, we calculate the statistical indicators between original and encrypted images. The results are compared to those generated from a classical double random phase encoding. Computer simulations are presented to show the validity of the method.

An investigation of the Reynolds Number dependence of the Axisymmetric Jet Mixing Layer using the Proper Orthogonal Decomposition

  • Jung, Dae-Han;George, William K.
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집B
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    • pp.423-425
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    • 2001
  • The Proper Orthogonal Decomposition (POD) technique was applied to investigate the effects of Reynolds number and the characteristics of the organized motions or coherent structures as a function of downstream position from x/D=2 to 6 in a turbulent axisymmetric shear layer at Reynolds numbers of 78,400, 117,600, and 156,800. Data were collected simultaneously using the 138 hot-wire probe used by Citriniti and George (2000). The POD was then applied to a double Fourier transform in time and azimuthal direction of the double velocity correlation tensor. The lowest azimuthal mode for all POD modes, which dominated the dynamics at x=D = 3 in the previous experiments, dies off rapidly downstream. This is consistent with a trend toward homogeneity in the downstream evolution, and suggests that some residual value may control the growth rate of the far jet. On the other hand, for the higher azimuthal modes, the peak shifts to lower mode numbers and actually increases with downstream distance. These mixing layer data, normalized by similarity variables for the mixing layer, collapse at all downstream positions and are nearly independent of Reynolds numbers.

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2중 오류정정 Reed-Solomon 부호의 부호기 및 복호기 장치화에 관한 연구 (On the Implementation of CODEC for the Double-Error Correction Reed-Solomon Codes)

  • 이만영;김창규
    • 대한전자공학회논문지
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    • 제26권2호
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    • pp.10-17
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    • 1989
  • Reed-Solomon(RS) 부호의 복호에서 오류위치다항식을 구하기 위한 알고리듬 중 Peterson에 의해 제안되고 Gorenstein과 Zierler가 개선한 알고리듬은 오류정정능력 t가 비교적 작을 경우 BerlekampMassey의 반복 알고리듬, Euclid 알고리듬을 이용한 복호, 변환영역에서의 복호보다 오류위치다항식의 계산이 간단하고 장치화에 이점이 있다. 본 논문에서는 Peterson-Gorenstein-Zieler의 알고리듬 RS부호의 부호화와 복호과정을 체계적으로 연구, 분석하고 실제로 통신 시스템에 응용할 수 있도록 유한체 GF($2^5$)의 심볼로 이루어지는 2중 오류정정(31,27)RS 부호의 부호기와 복호기를 설계하여 TTL IC로 장치화 하였다.

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이방성비가 큰 직교이방성체의 반 무한 균열에 대한 동적 에너지해방률에 관한 연구 (A Study on the Dynamic Energy Release Rate of an Orthotropic Strip with a Half Infinite Crack and Large Anistropic Ratio)

  • 백운철;황재석
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1863-1870
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    • 2000
  • When an impact stress is applied on the external boundary of double cantilever beam of orthotropic material which crack length is greater than specimen hight and anistropic ratio is very high, dyna mic energy release rate is derived, and the relationship between dynamic energy release rate and crack propagating velocity is studied. Dynamic energy release rate to static energy release rate is decreased with increasment of crack propagating velocity. The relationships between dynamic energy release rate and vertical strain have a similar pattern with those between static energy release rate and vertical strain. When normalized time(Cstla) is greater than or equal to 2, dynamic energy release rate approaches to a constant value.

Partial Photoionization Cross Section of Collinear eZe Helium: Numerical Confirmation of Semiclassical Predictions

  • Lee, Min-Ho;Choi, Nark Nyul
    • Journal of the Korean Physical Society
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    • 제73권10호
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    • pp.1486-1494
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    • 2018
  • Based on the semiclassical theory of chaotic scattering, Tanner et al. [J. Phys. B 40, F157 (2007)] proposed the fluctuation in the partial photoionization cross section of helium below the double-ionization threshold would show the same characteristics as in the total cross section, predicting that the Fourier spectrum of the fluctuation reveals peaks at the classical actions of closed triple collision orbits and the amplitude of the fluctuation decreases algebraically as the energy approaches the double-ionization threshold. In that paper, however, the predictions were not clearly confirmed due to the lack of experimental data with sufficient accuracy. So instead, we calculate the partial photoionization cross sections of collinear eZe helium for the energy range from the single-ionization threshold $I_{20}$ to $I_{32}$ in order to numerically confirm the predictions. Analysis of the fluctuation in the partial cross section shows that the predictions are indeed valid. Our findings mean that the fluctuation in the partial photoionization cross section can be described by classical triple collision orbits in the semiclassical limit. Thus it explains in a natural way the mirroring and mimicking structures observed in cross section signals for different ionization channels.

Separation-hybrid models for simulating nonstationary stochastic turbulent wind fields

  • Long Yan;Zhangjun Liu;Xinxin Ruan;Bohang Xu
    • Wind and Structures
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    • 제38권1호
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    • pp.1-13
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    • 2024
  • In order to effectively simulate nonstationary stochastic turbulent wind fields, four separation hybrid (SEP-H) models are proposed in the present study. Based on the assumption that the lateral turbulence component at one single-point is uncorrelated with the longitudinal and vertical turbulence components, the fluctuating wind is separated into 2nV-1D and nV1D nonstationary stochastic vector processes. The first process can be expressed as double proper orthogonal decomposition (DPOD) or proper orthogonal decomposition and spectral representation method (POD-SRM), and the second process can be expressed as POD or SRM. On this basis, four SEP-H models of nonstationary stochastic turbulent wind fields are developed. In addition, the orthogonal random variables in the SEP-H models are presented as random orthogonal functions of elementary random variables. Meanwhile, the number theoretical method (NTM) is conveniently adopted to select representative points set of the elementary random variables. The POD-FFT (Fast Fourier transform) technique is introduced in frequency to give full play to the computational efficiency of the SEP-H models. Finally, taking a long-span bridge as the engineering background, the SEP-H models are compared with the dimension-reduction DPOD (DR-DPOD) model to verify the effectiveness and superiority of the proposed models.

Characterization on the Thermal Oxidation of Raw Natural Rubber Thin Film using Image and FT-IR Analysis

  • Kim, Ik-Sik;Cho, Hwanjeong;Sohn, Kyung-Suk;Choi, Hwa-Soon;Kim, Sung-Uk;Kim, Sinkon
    • Elastomers and Composites
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    • 제55권1호
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    • pp.51-58
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    • 2020
  • In this study, the thermal oxidation of raw natural rubber (NR) was investigated under controlled conditions by optical image and fourier transform infrared (FT-IR) analysis. The thermal oxidation was performed on a transparent thin film of raw NR coated on a KBr window in a dark chamber at 80℃ under low humidity conditions to completely exclude moisture and restrict light oxidation. Images of the thin film of raw NR were obtained before and after thermal oxidation. FT-IR absorption spectra were measured in the transmission mode at different thermal exposure times. The thermal oxidation of NR was examined by the changes in the absorption peaks at 3449, 1736, 1447, 1377, 1242, 1072, and 833 cm-1, which corresponded to a hydroxyl group (-OH), a carbonyl group (-C=O) from an aldehyde and a ketone, a methylene group (-CH2-), a methyl group (-CH3), a carbon-oxygen single bond (-C-O) from an epoxide, a carbon-oxygen bond (-C-O) from an ether, an alcohol, a peroxide, or a cyclic peroxide, and a cis-methine group (cis-CCH3=CH-), respectively. In the initial stage of thermal oxidation, two different types of free radicals were produced quickly and randomly by the homolytic cleavage of a double bond and allylic hydrogen abstraction. Aldehydes and ketones were formed from chain scissions of the double bonds and alcohols were produced from allylic hydrogen abstraction at the methylene or methyl groups. Two reactions seemed to proceed competitively with each other. At a later stage, oxidative crosslinks seemed to dominate through the combination of free radicals such as an allyl radical (CH=CHCH2·), alkoxy radical (RO·), and peroxy radical (ROO·) and the reaction of a hydroperoxide (-ROOH) with a double bond. The image obtained after thermal oxidation showed hardening without cracks. Based on these observations, a plausible two-step mechanism was suggested for chain hardening caused by the thermal oxidation.

Estimation of Displacements Using the Transformed Response in Time and frequency Domain

  • Jung, Beom-Seok
    • 한국해양공학회지
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    • 제17권2호
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    • pp.27-33
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    • 2003
  • 본 논문에서는 측정된 가속도신호만을 사용하여 변위응답을 추정하는 시간영역과 주파수영역에서의 동적 응답변환 알고리즘을 제시하였다. 본 알고리즘에서 사용되는 변환변위응답은 속도와 변위성분의 초기조건에 대한 정보 없이 측정된 가속도신호의 적분에 의하여 계산되며 실제 변위응답과 상관관계를 갖는다. 이에 측정된 구조물의 동적응답이 무재하부분과 자유진동부분을 포함하고 있을 때 변환응답을 보정하여 초기치 문제를 해결할 수 방법을 제시함으로써 가속도신호만을 사용하여 실제 변위응답을 추정할 수 있도록 하였다. 제시된 응답변환 알고리즘의 타당성을 평가하기위해 실교량에 대한 현장시험자료를 적용하여 변위응답을 추정하고 실측된 동적 변위와 비교하였다. 또한, 주파수영역에서의 응답변환에서 적분구간을 상이하게 사용함으로써 동적성분과 정적성분으로 분리된 추정응답을 평가할 수 있었으며 이에 따른 충격계수의 계산은 신뢰성 있는 평가방법임을 확인하였다.

링보강 복합재료 원통셸의 과도해석 (Transient Analysis of Composite Cylindrical Shells with Ring Stiffeners)

  • 김영완
    • 대한기계학회논문집A
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    • 제25권11호
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    • pp.1802-1812
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    • 2001
  • The theoretical method is developed to investigate the effects of ring stiffeners on free vibration characteristics and transient response for the ring stiffened composite cylindrical shells subjected to the impulse pressure Loading. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect is adopted to formulate the theoretical model. The concentric or eccentric ring stiffeners are laminated with composite and have the uniform rectangular cross section. The modal analysis technique is used to develop the analytical solutions of the transient problem. The analysis is based on an expansion of the loads, displacements in the double Fourier series that satisfy the boundary conditions. The effect of stiffener's eccentricity, number, size, and position on transient response of the shells is examined. The results are verified by comparison with FEM results.