• 제목/요약/키워드: square root function

검색결과 243건 처리시간 0.032초

고차의 미분에너지함수를 이용한 주파수 및 진폭성분 추출 알고리즘과 응용 (Frequency/Amplitude Separation Algorithm Using the Higher Order Differential Energy Operator and Its Application)

  • 임병관
    • 전기학회논문지
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    • 제56권8호
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    • pp.1498-1502
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    • 2007
  • There have been many different definitions of energy functions as the second statistics of a signal. In this paper, using the higher order differential energy function, we propose an algorithm separating the amplitude and frequency components in a discrete sinusoidal signal. The proposed amplitude and frequency estimation methods have less computational requirement than the existing methods. It also shows large computational advantage over the root mean square (RMS) calculation of a signal. The proposed methods can be used in the detection of abnormal events in signals on the power line. Computer simulations show that proposed frequency estimation method can detect the presence of voltage increase or decrease for a short period of time. Also, the proposed estimation methods have been compared with existing methods in terms of estimation error variance.

단면 형상 측정을 이용한 비구면 안경 렌즈의 최적 근사화된 설계 계수의 추정 방법 (Estimation Method of the Best-Approximated Form Factor Using the Profile Measurement of the Aspherical Ophthalmic Lens)

  • 이호철
    • 한국정밀공학회지
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    • 제22권5호
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    • pp.55-62
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    • 2005
  • This paper presents mainly a procedure to get the mathematical form of the manufactured aspherical lens. Generally Schulz formula describes the aspherical lens profile. Therefore, the base curvature, conic constant. and high-order polynomial coefficient should be set to get the approximated design equation. To find the best-approximated aspherical form, lens profile is measured by a commercial stylus profiler, which has a sub-micrometer measurement resolution. The optimization tool is based on the minimization of the root mean square of error sum to get the estimated aspherical surface equation from the scanned aspherical profile. Error minimization step uses the Nelder-Mead simplex (direct search) method. The result of the lens refractive power measurement shows the experimental consistency with the curvature distribution of the best-approximated aspherical surface equation

Strain Ageing Behavior of Cold Worked Zircaloy-4 with Varying Oxygen Content

  • Rheem, K.S.;Park, W.K.
    • Nuclear Engineering and Technology
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    • 제8권3호
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    • pp.151-157
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    • 1976
  • 냉간가공한 질칼로이-4의 가공시효(strain ageing) 현상이 진공속에서 변형온도 및 1143ppm-3500ppm의 산소 함량의 변수로써 조사되었다. 가공시효 현상이 0-10 % 냉간가공한 질칼로이-4의 경우 200-45$0^{\circ}C$의 온도구간에서 조사되었으며, 이때 가공시효 현상은 냉간가공량이 증가할수록 감소하는 현상을 보였다. 이 냉간가공에 따른 가공시효의 감소는 냉간가공시 발생한 결함에 의해 산소 원자들이 trapping 되는 결과로 기인된 것으로 고려된다. 냉간가공된 질칼로이-4의 최대 가공시효 응력은 함유된 산소의 량의 평방근에 비례한다는 사실이 밝혀졌다.

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The dynamic response of the FGM coated half-plane with hysteretic damping under time harmonic loading

  • Xiao-Min Wang;Liao-Liang Ke;Yue-Sheng Wang
    • Structural Engineering and Mechanics
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    • 제87권1호
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    • pp.95-106
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    • 2023
  • This paper investigates the dynamic response of a functionally graded material (FGM) coated half-plane excited by distributed time harmonic loading. Three types of typical distributed surface loads, including uniform load, Hertz load, and square-root singular load, are considered. The mass density and elastic modulus of the FGM coating are supposed to be described by the exponential function. The material damping is modelled by a linearly hysteretic damping which is expressed by a complex modulus in the time harmonic motion. Using Fourier integral transform technique and numerical integral method, the effects of the excitation frequency, gradient index, damping, and load type on the dynamic stresses and displacements are discussed.

Mapping Snow Depth Using Moderate Resolution Imaging Spectroradiometer Satellite Images: Application to the Republic of Korea

  • Kim, Daeseong;Jung, Hyung-Sup
    • 대한원격탐사학회지
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    • 제34권4호
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    • pp.625-638
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    • 2018
  • In this paper, we derive i) a function to estimate snow cover fraction (SCF) from a MODIS satellite image that has a wide observational area and short re-visit period and ii) a function to determine snow depth from the estimated SCF map. The SCF equation is important for estimating the snow depth from optical images. The proposed SCF equation is defined using the Gaussian function. We found that the Gaussian function was a better model than the linear equation for explaining the relationship between the normalized difference snow index (NDSI) and the normalized difference vegetation index (NDVI), and SCF. An accuracy test was performed using 38 MODIS images, and the achieved root mean square error (RMSE) was improved by approximately 7.7 % compared to that of the linear equation. After the SCF maps were created using the SCF equation from the MODIS images, a relation function between in-situ snow depth and MODIS-derived SCF was defined. The RMSE of the MODIS-derived snow depth was approximately 3.55 cm when compared to the in-situ data. This is a somewhat large error range in the Republic of Korea, which generally has less than 10 cm of snowfall. Therefore, in this study, we corrected the calculated snow depth using the relationship between the measured and calculated values for each single image unit. The corrected snow depth was finally recorded and had an RMSE of approximately 2.98 cm, which was an improvement. In future, the accuracy of the algorithm can be improved by considering more varied variables at the same time.

3차원 물체 부근에 위치한 특이점이 물체에 작용하는 힘 (Force upon a Body due to Neighboring Singularity)

  • 최진영;이승준
    • 대한조선학회논문집
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    • 제54권3호
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    • pp.250-257
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    • 2017
  • It is desirable to have a way to predict the pressure drag due to various appendages attached to stern. As a mathematical model for these, a sphere and a singularity behind it, both in the uniform flow can be considered. We may use the Butler's sphere theorem to find the Stokes' stream function when the resulting flow is axisymmetric, and then the extended Lagally's theorem to get the force upon the sphere due to the singularity. Assuming the separation distance between the sphere and the singularity is small, the leading order approximation for the force is obtained and it is found out that if the separation distance and the square root of the strength of the dipole are of the same order, the effect of the image of the dipole with respect to the sphere is the most important.

Predicting of tall building response to non-stationary winds using multiple wind speed samples

  • Huang, Guoqing;Chen, Xinzhong;Liao, Haili;Li, Mingshui
    • Wind and Structures
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    • 제17권2호
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    • pp.227-244
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    • 2013
  • Non-stationary extreme winds such as thunderstorm downbursts are responsible for many structural damages. This research presents a time domain approach for estimating along-wind load effects on tall buildings using multiple wind speed time history samples, which are simulated from evolutionary power spectra density (EPSD) functions of non-stationary wind fluctuations using the method developed by the authors' earlier research. The influence of transient wind loads on various responses including time-varying mean, root-mean-square value and peak factor is also studied. Furthermore, a simplified model is proposed to describe the non-stationary wind fluctuation as a uniformly modulated process with a modulation function following the time-varying mean. Finally, the probabilistic extreme response and peak factor are quantified based on the up-crossing theory of non-stationary process. As compared to the time domain response analysis using limited samples of wind record, usually one sample, the analysis using multiple samples presented in this study will provide more statistical information of responses. The time domain simulation also facilitates consideration of nonlinearities of structural and wind load characteristics over previous frequency domain analysis.

가상의 물 수요곡선에 따른 수충격에 의한 염소농도변동 모의연구 (Simulation of chlorine decay by waterhammer in water distribution system based on hypothetical water demand curve)

  • 백다원;김현준;김상현
    • 상하수도학회지
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    • 제32권2호
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    • pp.107-113
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    • 2018
  • Maintaining adequate residual chlorine concentration is an important criteria to provide secure drinking water. The chlorine decay can be influenced by unstable flow due to the transient event caused by operation of hydraulic devices in the pipeline system. In order to understand the relationship between the transient event and the chlorine decay, the probability density function based on the water demand curve of a hypothetical water distribution system was used. The irregular transient events and the same number of events with regular interval were assumed and the fate of chlorine decay was compared. The chlorine decay was modeled using a generic chlorine decay model with optimized parameters to minimize the root mean square error between the experimental chlorine concentration and the simulated chlorine concentration using genetic algorithm. As a result, the chlorine decay can be determined through the number of transients regardless of the occurrence intervals.

IRS-1C 위성데이타를 이용한 수치표고모델 생성에 관한 연구 (A Study on the Generation of Digital Elevation Model from IRS-1C Satellite Image Data)

  • 안기원;이효성;서두천;신석효
    • 한국측량학회지
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    • 제17권3호
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    • pp.293-300
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    • 1999
  • IRS-1C PAN의 수치화상데이터를 사용하여 수치표고모델을 생성하는 기법을 연구하였다. 번들조정기법을 적용하여 라인별 외부표정요소를 결정하였으며, 그 결과 위성의 자세와 위치 모두에 있어서 1차다항식이 가장 유효하였다. 수치표고모델과 정사투영화상을 생성한 후, 연구 대상영역내의 상이한 표고를 가지고 있는 16점의 평가점을 선정하여, 연구결과의 지도좌표와 비교해본 결과, 표고오차의 RMSE가 $\pm{16.66m}$인 수치표고 모델을 생성할 수 있었다.

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Evaluation of neutron attenuation properties using helium-4 scintillation detector for dry cask inspection

  • Jihun Moon;Jisu Kim;Heejun Chung;Sung-Woo Kwak;Kyung Taek Lim
    • Nuclear Engineering and Technology
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    • 제55권9호
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    • pp.3506-3513
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    • 2023
  • In this paper, we demonstrate the neutron attenuation of dry cask shielding materials using the S670e helium-4 detector manufactured by Arktis Radiation Ltd. In particular, two materials expected to be applied to the TN-32 dry cask manufactured by ORANO Korea and KORAD-21 by the Korea Radioactive Waste Agency (KORAD) were utilized. The measured neutron attenuation was compared with our Monte Carlo N-Particle Transport simulation results, and the difference is given as the root mean square (RMS). For the fast neutron case, a rapid decline in neutron counts was observed as a function of increasing material thickness, exhibiting an exponential relationship. The discrepancy between the experimentally acquired data and simulation results for the fast neutron was maintained within a 2.3% RMS. In contrast, the observed thermal neutron count demonstrated an initial rise, attained a maximum value, and exhibited an exponential decline as a function of increasing thickness. In particular, the discrepancy between the measured and simulated peak locations for thermal neutrons displayed an RMS deviation of approximately 17.3-22.4%. Finally, the results suggest that a minimum thickness of 5 cm for Li-6 is necessary to achieve a sufficiently significant cross-section, effectively capturing incoming thermal neutrons within the dry cask.