• 제목/요약/키워드: relative numerical ranges

검색결과 16건 처리시간 0.023초

Spectra and numberical ranges

  • Yang, Youngoh
    • 대한수학회보
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    • 제33권3호
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    • pp.427-434
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    • 1996
  • The theory of numerical ranges in unital normed algebras has extensively studied by many authors, for examples, see [1], [2] for details.

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모사된 화재의 열적환경에서 FDS를 이용한 온도 예측오차에 관한 수치해석 연구 (A Numerical Study on Temperature Prediction Bias using FDS in Simulated Thermal Environments of Fire)

  • 한호식;김봉준;황철홍
    • 한국안전학회지
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    • 제32권2호
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    • pp.14-20
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    • 2017
  • A numerical study was conducted to identify the predictive performance for the bare-bead thermocouple (TC) using FDS (Fire Dynamics Simulator) in simulated thermal environments of fire. A relative prediction bias of TC temperature calculated from reverse-radiation correction by FDS was evaluated with the comparison of previous experimental data. As a result, it was identified that the TC temperatures predicted by FDS were lower than the temperatures measured by bare-bead TC for the ranges of heat flux and gas temperature considered. The relative prediction bias of TC temperature by FDS was gradually increased with the increase in radiative heat flux and also significantly increased with the decrease in the gas temperature. Quantitatively, at the gas temperature of $20^{\circ}C$, the TC temperature predicted by FDS had the relative bias of approximately -20% with the radiative heat flux of $20kW/m^2$ corresponding to thermal radiation level of the flashover. It is predicted from the present study that more accurate validation of fire modeling will be possible with the quantitative prediction bias occurred in the process of reverse-radiation correction of temperature predicted by FDS.

Effects of the earth fissure on the seismic response characteristics of a nearby metro station

  • Jiang Chang;Yahong Deng;Huandong Mu
    • Earthquakes and Structures
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    • 제24권1호
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    • pp.53-64
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    • 2023
  • Earth fissures with several kilometers will inevitably approach or cross the metro line, significantly threatening the safety of the underground structure in the earth fissure site. However, the influence of the earth fissure site's amplification effect on the metro station's dynamic response is still unclear. A representative earth fissure in Xi'an was taken as an example to establish a numerical model of a metro station in the earth fissure site. The dynamic response characteristics of the metro stations at different distances from the earth fissure under various seismic waves were calculated. The results show that the existence of the earth fissure significantly amplifies the dynamic response of the nearby underground structures. The responses of the axial force, shear force, bending moment, normal stress, horizontal displacement, inter-story drift, and relative slip of the metro station were all amplified within a specific influence range. The amplification effect increases with the seismic wave intensity. The amplification effect caused by the earth fissure has relatively weak impacts on the axial shear, shear force, bending movement, normal stress, and horizontal movement; slightly larger impacts on the inter-story drift and acceleration; and a significant impact on the relative slip. The influence ranges of the axial force and normal stress are approximately 20 m. The influence ranges of the acceleration and inter-story drift can reach 30 m. Therefore, the seismic fortification level of the underground structure in the earth fissure site needs to be improved.

지지력에 미치는 재하속도에 관한 해석적 연구 (Effect of Loading Rate to Bearing Capacities)

  • 박중배
    • 한국지반공학회지:지반
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    • 제13권1호
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    • pp.147-158
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    • 1997
  • 본연구는 유한요소법을 이용하여 중간토지 반에 있어서의 부분배수의 정도가 지지력 및 변형 특성에 미치는 영향을 해석적으로 고찰한 것이다. 동시에 계산 결과를 모형실험 결과와 비교하여 계산법의 타당성 및 부분배수의 현상이 발생하는 지반의 지지력 문제에의 적용성을 검토하였다. 해석에는 수정 Cam-clay를 이용한 프로그램 CRISP90을 이용하였고,모델실험에서는 원심 모형시험장치를 이용하였다. 해석 결과, 부분배수의 영향을 받는 중간토지반의 하중칙하 관계를 충분한 정도로 표현할 수 있으며, 동법에 의해 상대재하속도를 배수, 비배수 및 부분배수영역의 3영역으로 분류 가능하고, 부분배수 영역의 범위는 10절도임을 밝혔다.

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1,2 Dichloroethane의 열분해에 대한 수치해석 (Numerical Simulations of the Pyrolysis of 1,2 Dichloroethane)

  • 이기용
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집D
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    • pp.697-702
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    • 2001
  • Numerical simulations of 1,2 dichloroethane(EDC) pyrolysis are conducted to understand the process on the production of the vinyl chloride monomer(VCM) and by-products. A chemical kinetic mechanism is developed, the adopted scheme involving 44 gas-phase species and 260 elementary forward and backward reactions. Detailed sensitivity analyses and the rates of production analysis are performed on each of the reactions and the various species, respectively. The concentrations of EDC, VCM, and HCI predicted by this mechanism are in good agreement with those deduced from experiments of commercial and laboratory scale. The mechanism is found to accurately predict the VCM yield and the production of by-products by varying the ranges of pyrolysis temperature, residence time, and pressure which impact on the pyrolysis of 1,2 dichloroethane. The influence of reactions related to H atom on the relative sensitivity of EDC becomes important as the residence time increases. The pyrolysis of EDC mainly occurs through $C_{2}H_{4}Cl_{2}+Cl=CH_{2}ClCHCl$.

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Numerical Simulations of the Pyrolysis of 1, 2 Dichloroethane

  • Lee, Ki-Yong
    • Journal of Mechanical Science and Technology
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    • 제16권1호
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    • pp.102-108
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    • 2002
  • Numerical simulations of 1, 2 dichloroethane(EDC) pyrolyisis are conducted to understand the process in the production of the vinyl chloride monomer (VCM) and by-products. A chemical kinetic mechanism Is developed, with the adopted scheme involving 44 gas-phase species and 260 elementary forward and backward reactions. Detailed sensitivity analyses and the rates of production analysis are performed on each of the reactions and the various species, respectively. The concentrations of EDC, VCM, and HCI predicted by this mechanism are in good agreement with those deduced from experiments of commercial and laboratory scale. The mechanism is found to accurately predict the EDC yield an(1 the production of by-products by varying the ranges of pyrolysis temperature, residence time, and pressure which impact on the pyrolysis of 1, 2 dichloroethane. The influence of reactions related to H atom on the relative sensitivity of EDC becomes important as the residence time increases. The pyrolysis of EDC mainly occurs through C$_2$H$_4$Cl$_2$+Cl=CH$_2$CICHI+HCI.

Numerical validation of burst pressure estimation equations for steam generator tubes with multiple axial surface cracks

  • Kim, Ji-Seok;Lee, Myeong-Woo;Kim, Yun-Jae;Kim, Jin-Weon
    • Nuclear Engineering and Technology
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    • 제51권2호
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    • pp.579-587
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    • 2019
  • This paper provides further validation of the burst pressure estimation equations for multiple axial surface cracked steam generator tubes, recently proposed by the authors based on analytical local collapse load approach against systematic FE damage analysis results of Alloy 690 tubes with twin axial surface cracks. Wide ranges of the relative crack depth and multiple crack configurations are considered. Comparison shows good agreements, giving sufficient confidence of the proposed equations.

하천흐름 해석에서 단순화된 운동방정식을 사용한 유한차분모델의 신뢰성 있는 적용 범위 (Application Ranges of Finite Difference Models Using Simplified Momentum Equation in Channel Flow simulation)

  • 최계운;안경수;안상진
    • 물과 미래
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    • 제27권4호
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    • pp.123-133
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    • 1994
  • 하천 흐름해석에서 단순화된 운동방정식을 사용한 kinematic 모델과 diffusion 모델이 full dynamic 모델에 비하여 여러 장점을 지니고 있기 때문에 수치모의에 종종 사용된다. 본 논문에서는 kinematic 모델과 diffusion 모델의 적용범위에 대하여 보다 폭넓게 사용될 수 있는 적용한계를 하천의 수로경사 $S_{02}$, 무차원의 상류측 수심증가 수 Gw 및 Froude수 Fr등 3개의 주요한 인자를 기준으로 하여 연구하였다. 이 때 적용범위는 full dynamic 방정식의 시간 가속도항, 공간 가속도항, 압력항, 중력항 및 마찰항의 상대적 크기의 비교를 통하여 도출되었다. 실험모의중에 Courant수는 0.5로 한정되었으며, 하천의 하상경사는 0.00001부터 0.05까지 변하였다. 또한, 0.1, 0.5 및 0.9의 Froude 수가 사용되었다. 본 논문에서는 kinematic 모델의 적용범위는 Froude 수가 증가함에 따라 증가하는 것으로 나타났으나, diffusion 모델의 적용범위는 Froude 수가 증가함에 따라 감소하였다. 최종적으로 kinematic 모델과 diffusion 모델의 적용을 위한 지침으로 사용할 수 있는 9개의 그림이 제안되었으며 이 제안된 그림을 적절하게 활용할 때 하천이나 강에 흐름모의가 보다 효율적으로 이루어질 수 있을 것이다.

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SPH 기법 기반의 파동수조 시뮬레이션 (SPH-Based Wave Tank Simulations)

  • 이상민;김무종;고권환;홍정욱
    • 한국전산구조공학회논문집
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    • 제34권1호
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    • pp.59-69
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    • 2021
  • 최근 친환경 에너지 개발에 대한 관심의 증가로 해상 및 연안 지역에서 대규모 해양구조물들이 건설되고 있다. 해양구조물은 항상 파랑 하중에 노출되어 있으므로 구조적인 안전성을 확보하기 위해서는 파랑에 대한 정확한 이해와 분석이 필수적이다. 실해역에서 수행되는 실험은 해양파를 이해하기 위한 가장 정확한 방법이지만, 변수의 통제가 어렵고 비용과 규모 측면에서 실험이 제한되는 경우가 많다. 본 연구에서는 수치파동수조를 이용하여 다양한 조건의 파를 생성하고 및 이론식과 비교를 통해 파랑 생성 능력을 검증하였다. 입자 기반 수치해석법인 SPH(Smoothed Particle Hydrodynamics) 기법을 이용하여 3차원 수조 및 피스톤 조파기를 모델링하였으며, 반사파에 대한 영향을 최소화하기 위해 수로 끝단에 질량 가중 감쇠 영역을 설정하여 안정적인 파고 및 유속 계산이 수행될 수 있게 하였다. 목표 파랑 조건에서,상대 수심이 2 이하를 만족하는 경우 파형경사에 관계없이 파고와 유속을 계산한 결과가 이론값과 높은 정확도를 보였다. 그러나 상대수심과 파형경사의 목표값이 증가하고, 측정 위치가 멀어짐에 따라서 최대 10% 이상의 오차가 발생하였다. 수치해석을 이용하여 정확한 계산이 가능한 파랑 범위를 무차원 변수를 이용하여 제안하였으며, 차후 수치해석을 이용한 수치파동수조 검증기준과 유체-구조물 상호작용 해석분야 연구에 효과적으로 활용될 수 있다.

A New Hyper Parameter of Hounsfield Unit Range in Liver Segmentation

  • Kim, Kangjik;Chun, Junchul
    • 인터넷정보학회논문지
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    • 제21권3호
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    • pp.103-111
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    • 2020
  • Liver cancer is the most fatal cancer that occurs worldwide. In order to diagnose liver cancer, the patient's physical condition was checked by using a CT technique using radiation. Segmentation was needed to diagnose the liver on the patient's abdominal CT scan, which the radiologists had to do manually, which caused tremendous time and human mistakes. In order to automate, researchers attempted segmentation using image segmentation algorithms in computer vision field, but it was still time-consuming because of the interactive based and the setting value. To reduce time and to get more accurate segmentation, researchers have begun to attempt to segment the liver in CT images using CNNs, which show significant performance in various computer vision fields. The pixel value, or numerical value, of the CT image is called the Hounsfield Unit (HU) value, which is a relative representation of the transmittance of radiation, and usually ranges from about -2000 to 2000. In general, deep learning researchers reduce or limit this range and use it for training to remove noise and focus on the target organ. Here, we observed that the range of HU values was limited in many studies but different in various liver segmentation studies, and assumed that performance could vary depending on the HU range. In this paper, we propose the possibility of considering HU value range as a hyper parameter. U-Net and ResUNet were used to compare and experiment with different HU range limit preprocessing of CHAOS dataset under limited conditions. As a result, it was confirmed that the results are different depending on the HU range. This proves that the range limiting the HU value itself can be a hyper parameter, which means that there are HU ranges that can provide optimal performance for various models.