• Title/Summary/Keyword: Parabola model

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Soil vibration induced by railway traffic around a pile under the inclined bedrock condition

  • Ding, Xuanming;Qu, Liming;Yang, Jinchuan;Wang, Chenglong
    • Geomechanics and Engineering
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    • v.24 no.2
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    • pp.143-156
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    • 2021
  • Rail transit lines usually pass through many complicated topographies in mountain areas. The influence of inclined bedrock on the train-induced soil vibration response was investigated. Model tests were conducted to comparatively analyze the vibration attenuation under inclined bedrock and horizontal bedrock conditions. A three-dimension numerical model was built to make parameter analysis. The results show that under the horizontal bedrock condition, the peak velocity in different directions was almost the same, while it obviously changed under the inclined bedrock condition. Further, the peak velocity under inclined bedrock condition had a larger value. The peak velocity first increased and then decreased with depth, and the trend of the curve of vibration attenuation with depth presented as a quadratic parabola. The terrain conditions had a significant influence on the vibration responses, and the inclined soil surface mainly affected the shallow soil. The influence of the dip angle of bedrock on the peak velocity and vibration attenuation was related to the directions of the ground surface. As the soil thickness increased, the peak velocity decreased, and as it reached 173% of the embedded pile length, the influence of the inclined bedrock could be neglected.

Cyclic compressive loading-unloading curves of brick masonry

  • AlShebani, Milad M.;Sinha, S.N.
    • Structural Engineering and Mechanics
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    • v.9 no.4
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    • pp.375-382
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    • 2000
  • Experimental investigation into the cyclic behaviour of sand plast brick masonry was performed on forty two square panels. The panels were subjected to cyclic uniaxial compression for two cases of loading: normal to bed joint and parallel to bed joint. Experimental data were used to plot the unloading-reloading curves for the entire range of the stress-strain curve. Mathematical expressions to predict the reloading and unloading stress-strain curves at various values of residual strain are proposed. A simple parabola and an exponential type formula are found adequate to model the unloading and reloading curves respectively. The models account for the potential effects of residual strain on these curves. Comparison of test results with the proposed mathematical expression shows good correspondence.

Confinement Effect of Reinforced Concrete Members Using a Parabola-Rectangular Compressive Stress-Strain Relationship (포물선-직선 압축응력-변형률 관계를 이용한 철근콘크리트 부재의 횡구속 효과)

  • Choi, Seung Won;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.27 no.1
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    • pp.45-53
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    • 2015
  • In general, RC columns are reinforced by spiral or tied steel and a strength of confined concrete is more increased than this of unconfined concrete. And strength and ductility of column are increased by a confinement effect. A confinement effect is affected by concrete strength, spacing, volume and strength of confinement steel. Many researchers suggested various confinement models which reflected these parameters by many experimental results. In this study, a load-strain relationship is evaluated by a confinement model in EC2, and it is compared with Mander model, Saatchioglu-Razvi model and Cusson et al. model. As results, it is appeared that a confinement model in EC2 is able to apply all kinds of concrete strength and a consistency in sectional analysis can be secured using material models in EC2. In parameter studies using material models in EC2, a confinement effect is more affected by a confinement steel than a concrete strength.

A Fast Sub-pel Motion Estimation Scheme using a Parabolic SAD Model

  • Ahn, Sang-Soo;Lee, Bum-Shik;Kim, Mun-Churl;Park, Chang-Seob;Hahm, Sang-Jin;Cho, In-Jun
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 2009.01a
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    • pp.321-325
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    • 2009
  • Sub-pel level motion estimation contributes to significant increase in R-D performance for H.264|MPEG 4 Part 10 AVC. However, several supplements, such as interpolation, block matching, and Hadamard transform which entails large computational complexity of encoding process, are essential to find best matching block in sub-pel level motion estimation and compensation. In this paper, a fast motion estimation scheme in sub-pel accuracy is proposed based on a parabolic model of SAD to avoid such computational complexity. In the proposed scheme, motion estimation (ME) is only performed in integer-pel levels and the following sub-pel level motion vectors are found from the parametric SAD model for which the model parameters are estimated from the SAD values obtained in the integer-pel levels. Fall-back check is performed to ensure the validity of the parabolic SAD model with the estimated parameters. The experiment result shows that the proposed scheme can reduce the motion estimation time up to about 30% of the total ME times in average with negligible amount of PSNR drops (0.14dB in maximum) and bit increments (2.54%in maximum).

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The Metaphorical Model of Archimedes' Idea on the Sum of Geometrical Series (무한 등비급수의 합에 대한 Archimedes의 아이디어의 은유적 모델과 그 교육적 활용)

  • Lee, Seoung Woo
    • School Mathematics
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    • v.18 no.1
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    • pp.215-229
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    • 2016
  • This study aims to identify Archimedes' idea used while proving proposition 23 in 'Quadrature of the Parabola' and to provide an alternative way for finding the sum of geometric series without applying the concept of limit by extending the idea though metaphor. This metaphorical model is characterized as static and thus can be complimentary to the dynamic aspect of limit concept adopted in Korean high school mathematics textbooks. In addition, middle school students can understand $0.999{\cdots}=1$ with this model in a structural way differently from the operative one suggested in Korean middle school mathematics textbooks. In this respect, I argue that the metaphorical model can be an useful educational tool for Korean secondary students to overcome epistemological obstacles inherent in the concepts of infinity and limit by making it possible to transfer from geometrical context to algebraic context.

Maturity-Based Model for Concrete Compressive Strength with Different Supplementary Cementitious Materials (혼화재 치환율을 고려한 성숙도 기반의 콘크리트 압축강도 평가 모델)

  • Mun, Jae-Sung;Yang, Keun-Hyeok;Jeon, Yong-Soo
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.6
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    • pp.82-89
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    • 2014
  • The purpose of this study is to propose a simple model to evaluate the compressive strength development of concrete with various supplementary cementitious materials (SCMs) and cured under different temperatures. For the generalization of the model, the ACI 209 parabola equation was modified based on the maturity function and then experimental constants A and B and 28-day compressive strength were determined from the regression analysis using a total of 265 data-sets compiled from the available literature. To verify the proposed model, concrete specimens classified into 3 Groups were prepared according to the SCM level as a partial replacement of cement and curing temperature. The analysis of existing data clearly revealed that the 28-day compressive strength decreases when the curing temperature is higher and/or lower than the reference curing temperature ($20^{\circ}C$). Furthermore, test results showed that the compressive strength development of concrete cured under $20^{\circ}C$ until an early age of 3 days was marginally affected by the curing temperature afterward. The proposed model accurately predicts the compressive strength development of concrete tested, indicating that the mean and standard deviation of the ratios between predictions and experiments are 1.00 and 0.08, respectively.

Opening efficiency and selectivity of Double-level type and Grid type in the shrimp beam trawl net (상하식과 그리드식 새우조망 어구의 전개성능과 선택성)

  • Jang, Choong-Sik;Cho, Youn-Hyoung;An, Young-Su
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.50 no.3
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    • pp.351-360
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    • 2014
  • The experiments were carried out to decide the selective fishing gear of the shrimp beam trawl fishery. The model nets were made of General type, Double-level type and Grid type. The model experiments were carried out to test opening efficiency and towing tension. The experimental tanks were the flume tank [$8.0L{\times}2.8W{\times}1.4H(m)$] and the towing tank [$85L{\times}10W{\times}3.5H(m)$] in National Fisheries Research and Development Institute. The full scale experiments were carried out to compare the selectivity of General type net, Double-level type net and Grid type net in the southern sea of korea. The vertical opening (net height) of the model nets can be expressed as a function of the towing velocity as the straight line. The towing tension of the model nets can be expressed as a function of the towing velocity as the parabola. The shrimp catching rates of upper cod end in Boryeong and tongyeong were 78%, 9% respectively, but the rates of lower cod end were 23%, 91% respectively. The number bycatch rates of General type and Grid type were 23%, 11% respectively, and the weight bycatch rates were 34%, 31% respectively. A selective shrimp beam trawl net is Grid type in korea coastal sea.

A Measure for Travel Time Reliability (통행시간 신뢰성 지표 개발 및 산정에 관한 연구)

  • Chang, Justin Su-Eun;Kang, Ji-Hye;Lee, Seung-Jun
    • Journal of Korean Society of Transportation
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    • v.26 no.5
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    • pp.217-226
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    • 2008
  • The term, travel-time reliability, refers to variations in journey time that travelers cannot predict. The purpose of this paper is to suggest a standard way to measure travel time reliability. A modified buffer time indicator is proposed. The index is represented by the difference between planned and actual travel times based on lognormal type travel time distribution. Using this framework, a constant function for railways and a negative parabola function for roads are discussed. The model developed is applied to the real data of Korean road and rail usages to empirically verify the methodology proposed. In this process, the unit value of travel time reliability for each group is estimated. The result of this research is expected to be helpful of conducting more cautious economic feasibility studies of transport.

DEVELOPMENT OF THE GOHEUNG INTERFEROMETER FOR EDUCATION AND RESEARCH, AND OBSERVATION OF SUN AT 12 GHz

  • Han, Junghwan;Lee, Bangwon;Jung, Sang-Eun;Ha, Ji-Sung;Jang, Bi-Ho;Han, Inwoo;Hong, S.S.;Park, Young-Sun
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.1
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    • pp.55-55
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    • 2014
  • 국립 고흥 청소년 우주 체험 센터는 연구와 학생들의 교육을 위해 12GHz 전파 간섭계를 개발했다. 저비용으로 제작하기 위하여 상용 제품들을 주로 사용하였고, 해변 가에 위치한 센터 특성상 강한 바다 바람과 부식에 견디도록 제작하였다. 고흥 간섭계는 직경 1.8m의 off-axis parabola 안테나 3대로 이루어져 있으며, 각 안테나 사이의 기선길이는 4, 19, 20m로, 해상도가 최대 약 4'인 영상을 얻을 수 있다. 수신기는 중심 주파수가 12.177GHz, 대역폭이 10MHz이며 메탄올 천이선과 연속파를 관측할 수 있는 시스템이다. 시스템온도는 100-200K로 추정된다. 각 수신기에서 나오는 신호는 digitizer로 읽어 들이며, 병렬 처리 프로그램으로 software correlation을 수행한다. 태양, 달, Crab Nebula, 그리고 Cassiopeia A 등을 관측하여 프린지를 검출하는데 성공하였다. 가시함수를 구하기 위한 프린지 fitting model의 파라미터들은 기선벡터의 측량과 점전파원 관측을 통하여 정밀하게 측정하였다. 태양에 대한 영상관측결과를 논의하고자 한다.

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POORLY STUDIED ECLIPSING BINARIES IN THE FIELD OF DO DRACONIS: V454 DRA AND V455 DRA

  • Kim, Yonggi;Andronov, Ivan L.;Andrych, Kateryna D.;Yoon, Joh-Na;Han, Kiyoung;Chinarova, Lidia L.
    • Journal of The Korean Astronomical Society
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    • v.53 no.2
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    • pp.43-48
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    • 2020
  • We report an analysis of two poorly studied eclipsing binary stars, GSC 04396-00605 and GSC 04395-00485 (recently named V455 Dra and V454 Dra, respectively). Photometric data of the two stars were obtained using the 1-m Korean telescope of the LOAO operated by KASI while monitoring the cataclysmic variable DO Dra in the frame of the Inter-Longitude Astronomy (ILA) project. We derived periods of 0.434914 and 0.376833 days as well as initial epochs JD 2456480.04281 and JD 2456479.0523, respectively, more accurate than previously published values by factors 9 and 6. The phenomenological characteristics of the mean light curves were determined using the New Algol Variable (NAV) algorithm. The individual times of maxima/minima (ToM) were determined using the newly developed software MAVKA, which outputs accurate parameters using "asymptotic parabola" approximations. The light curves were approximated using phenomenological and physical models. In the NAV algorithm, the phenomenological parameters are well determined. We derived physical parameters using the Wilson-Devinney model. In this model, the best-fit parameters are highly correlated, thus some of them were fixed to reasonable values. For both systems, we find evidence for the presence of a cool spot and estimate its parameters. Both systems can be classified as overcontact binaries of EW type.