• 제목/요약/키워드: fourier sine series

검색결과 27건 처리시간 0.023초

Analytic Modeling of the Xenon Oscillation Due to Control Rod Movement

  • Song, Jae-Seung;Cho, Nam-Zin;Zee, Sung-Quun
    • Nuclear Engineering and Technology
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    • 제31권1호
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    • pp.80-87
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    • 1999
  • An analytic axial xenon oscillation model was developed for pressurized water reactor analysis. The model employs an equation system for axial difference parameters that was derived from the two-group one-dimensional diffusion equation with control rod modeling and coupled with xenon and iodine balance equations. The spatial distributions of nu, xenon, and iodine were expanded by the Fourier sine series, resulting in cancellation of the flux-xenon coupled non-linearity. An inhomogeneous differential equation system for the axial difference parameters, which gives the relationship between power, iodine and xenon axial differences in the case of control rod movement, was derived and solved analytically. The analytic solution of the axial difference parameters can directly provide with the variation of axial power difference during xenon oscillation. The accuracy of the model is verified by benchmark calculations with one-dimensional reference core calculations.

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동하중을 받는 복합재료 원통셸의 동적거동 해석 (On the Dynamic Response of Laminated Circular Cylindrical Shells under Dynamic Loads)

  • 이영신;이기두
    • 대한기계학회논문집
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    • 제17권11호
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    • pp.2684-2693
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    • 1993
  • The free vibration and dynamic response of cross-ply for CFRP and GFRP laminated circular cylindrical shells under dynamic loadings are investigated by using the first-order shear deformation shell theory. The modal analysis technique is used to develop the analytical solutions of simply supported cylindrical shells under dynamic load. The analysis is based on an expansion of the loads, displacements and rotations in a double Fourier series which satisfies the and boundary conditions of simply support. Analytical solution is assumed to be separable into a function of time and a function of position. In this paper, the considered load forces are step pulse, sine pulse, triangular(1, 2, 3) pulse and exponential pulse. The solution for a given loading pulse can be found by involving the convolution integral. The results show that the dynamic response are governed primarily by the natural period of the structure.

Investigation of mean wind pressures on 'E' plan shaped tall building

  • Bhattacharyya, Biswarup;Dalui, Sujit Kumar
    • Wind and Structures
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    • 제26권2호
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    • pp.99-114
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    • 2018
  • Due to shortage of land and architectural aesthetics, sometimes the buildings are constructed as unconventional in plan. The wind force acts differently according to the plan shape of the building. So, it is of utter importance to study wind force or, more specifically wind pressure on an unconventional plan shaped tall building. To address this issue, this paper demonstrates a comprehensive study on mean pressure coefficient of 'E' plan shaped tall building. This study has been carried out experimentally and numerically by wind tunnel test and computational fluid dynamics (CFD) simulation respectively. Mean wind pressures on all the faces of the building are predicted using wind tunnel test and CFD simulation varying wind incidence angles from $0^{\circ}$ to $180^{\circ}$ at an interval of $30^{\circ}$. The accuracy of the numerically predicted results are measured by comparing results predicted by CFD with experimental results and it seems to have a good agreement with wind tunnel results. Besides wind pressures, wind flow patterns are also obtained by CFD for all the wind incidence angles. These flow patterns predict the behavior of pressure variation on the different faces of the building. For better comparison of the results, pressure contours on all the faces are also predicted by both the methods. Finally, polynomial expressions as the sine and cosine function of wind angle are proposed for obtaining mean wind pressure coefficient on all the faces using Fourier series expansion. The accuracy of the fitted expansions are measured by sum square error, $R^2$ value and root mean square error.

적응형 영상 워터마킹 알고리즘 개발 (Development of Adaptive Digital Image Watermarking Techniques)

  • 민준영
    • 한국정보처리학회논문지
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    • 제6권4호
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    • pp.1112-1119
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    • 1999
  • 디지털 워터마킹(digital watermarking)이란 영상이나 비디오, 오디오, 텍스트 등의 저작물에 잘 식별되지 않는 표시를 삽입하여 저작권을 보호하는 방법으로 소유권자의 동의 없이 저작물을 배포, 복사되는 것을 방지하는 방법이다. 주파수 공간에서의 적응형(adaptive) 워터마킹 알고리즘을 제안한다. 본 논문에서는 워터마크를 삽입하기 위해서 사인(sin)함수와 코사인(cos)함수를 이용한 푸리에(Fourier) 급수전개를 이용하였다. 우선, 원 이미지를 주파수 영역을 변환한 다음 워터마크를 삽입할 위치를 저주파 대역으로 한정지어 결정하였으며, M 개의 파형을 가장 직교성(orthogonality)이 좋다고 하는 사인함수와 코사인함수를 이용하여 푸리에 급수 전개를 하였다. 이때, 사인과 코사인의 n 차 고조파는 Random Sequence를 발생하여 결정하였다. 제안한 알고리즘은 이와 같이 푸리에급수전개를 했을 때 각 항의 푸리에 계수를 산출하여 이 푸리에계수에 워터 마크를 삽입하였다. 실험결과 JPEG 압축, 블러링(Bluring), 노이즈 삽입 등의 이미지 왜곡에 대하여 워터마크 상관관계가 최소 0.5467에서 최대 0.9507까지의 견고성(robustness)을 보였다. 본 논문에서는 256$\times$256 크기의 8비트 256 명암값(gray-level)을 갖는 Lenna 이미지를 이용하였다.

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Vibration analysis of steel fiber reinforced self-compacting concrete beam on elastic foundation

  • Ozdemir, Mahmut Tunahan;Kobya, Veysel;Yayli, Mustafa Ozgur;Mardani-Aghabaglou, Ali
    • Computers and Concrete
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    • 제27권2호
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    • pp.85-97
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    • 2021
  • In this study, the effect of steel fiber utilization, boundary conditions, different beam cross-section, and length parameter are investigated on the free vibration behavior of fiber reinforced self-compacting concrete beam on elastic foundation. In the analysis of the beam model recommended by Euler-Bernoulli, a method utilizing Stokes transformations and Fourier Sine series were used. For this purpose, in addition to the control beam containing no fiber, three SCC beam elements were prepared by utilization of steel fiber as 0.6% by volume. The time-dependent fresh properties and some mechanical properties of self-compacting concrete mixtures were investigated. In the modelled beam, four different beam specimens produced with 0.6% by volume of steel fiber reinforced and pure (containing no fiber) SCC were analyzed depending on different boundary conditions, different beam cross-sections, and lengths. For this aim, the effect of elasticity of the foundation, cross-sectional dimensions, beam length, boundary conditions, and steel fiber on natural frequency and frequency parameters were investigated. As a result, it was observed that there is a noticeable effect of fiber reinforcement on the dynamic behavior of the modelled beam.

Simulation of the Blood Pressure Estimation Using the Artery Compliance Model and Pulsation Waveform Model

  • Jeon, Ahyoung;Ro, Junghoon;Kim, Jaehyung;Baik, Seongwan;Jeon, Gyerok
    • 센서학회지
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    • 제22권1호
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    • pp.38-43
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    • 2013
  • In this study, the artery's compliance model and the pulsation waveform model was proposed to estimate blood pressure without applying HPF (High Pass Filter) on signal measured by the oscillometric method. The method proposed in the study considered two ways of estimating blood pressure. The first method of estimating blood pressure is by comparing and analyzing changes in pulsation waveform's dicrotic notch region during each cardiac period. The second method is by comparing and analyzing morphological changes in the pulsation waveform during each cardiac period, which occur in response to the change in pressure applied on the cuff. To implement these methods, we proposed the compliance model and the pulsation waveform model of the artery based on hemodynamic theory, and then conducted various simulations. The artery model presented in this study only took artery's compliance into account. Then, a pulsation waveform model was suggested, which uses characteristic changes in the pulsation waveform to estimate blood pressure. In addition, characteristic changes were observed in arterial volume by applying artery's pulsation waveform to the compliance model. The pulsation waveform model was suggested to estimate blood pressure using characteristic changes of the pulsation waveform in the arteries. This model was composed of the sum of sine waves and a Fourier's series in combination form up to 10th harmonics components of the sinusoidal waveform. Then characteristic of arterial volume change was observed by inputting pulsation waveform into the compliance model. The characteristic changes were also observed in the pulsation waveform by mapping the arterial volume change in accordance with applied cuff's pressure change to the pulsation waveform's change according to applied pressure changes by cuff. The systolic and diastolic blood pressures were estimated by applying positional change of pulsation waveform's dicrotic notch region.

Spherical Harmonics Power-spectrum of Global Geopotential Field of Gaussian-bell Type

  • Cheong, Hyeong-Bin;Kong, Hae-Jin
    • 한국지구과학회지
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    • 제34권5호
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    • pp.393-401
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    • 2013
  • Spherical harmonics power spectrum of the geopotential field of Gaussian-bell type on the sphere was investigated using integral formula that is associated with Legendre polynomials. The geopotential field of Gaussian-bell type is defined as a function of sine of angular distance from the bell's center in order to guarantee the continuity on the global domain. Since the integral-formula associated with the Legendre polynomials was represented with infinite series of polynomial, an estimation method was developed to make the procedure computationally efficient while preserving the accuracy. The spherical harmonics power spectrum was shown to vary significantly depending on the scale parameter of the Gaussian bell. Due to the accurate procedure of the new method, the power (degree variance) spanning over orders that were far higher than machine roundoff was well explored. When the scale parameter (or width) of the Gaussian bell is large, the spectrum drops sharply with the total wavenumber. On the other hand, in case of small scale parameter the spectrum tends to be flat, showing very slow decaying with the total wavenumber. The accuracy of the new method was compared with theoretical values for various scale parameters. The new method was found advantageous over discrete numerical methods, such as Gaussian quadrature and Fourier method, in that it can produce the power spectrum with accuracy and computational efficiency for all range of total wavenumber. The results of present study help to determine the allowable maximum scale parameter of the geopotential field when a Gaussian-bell type is adopted as a localized function.