• Title/Summary/Keyword: Scaling relationships

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Characteristics of Stress Drop and Energy Budget from Extended Slip-Weakening Model and Scaling Relationships (확장된 slip-weakening 모델의 응력 강하량과 에너지 수지 특성 및 스케일링 관계)

  • Choi, Hang;Yoon, Byung-Ick
    • Journal of the Earthquake Engineering Society of Korea
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    • v.24 no.6
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    • pp.253-266
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    • 2020
  • The extended slip-weakening model was investigated by using a compiled set of source-spectrum-related parameters, i.e. seismic moment Mo, S-wave velocity Vs, corner-frequency fc, and source-controlled high-cut frequency fmax, for 113 shallow crustal earthquakes (focal depth less than 25 km, MW 3.0~7.5) that occurred in Japan from 1987 to 2016. The investigation was focused on the characteristics of stress drop, radiation energy-to-seismic moment ratio, radiation efficiency, and fracture energy release rate, Gc. The scaling relationships of those source parameters were also investigated and compared with those in previous studies, which were based on generally used singular models with the dimensionless numbers corresponding to fc given by Brune and Madariaga. The results showed that the stress drop from the singular model with Madariaga's dimensionless number was equivalent to the breakdown stress drop, as well as Brune's effective stress, rather than to static stress drop as has been usually assumed. The scale dependence of stress drop showed a different tendency in accordance with the size category of the earthquakes, which may be divided into small-moderate earthquakes and moderate-large earthquakes by comparing to Mo = 1017~1018 Nm. The scale dependence was quite similar to that shown by Kanamori and Rivera. The scale dependence was not because of a poor dynamic range of recorded signals or missing data as asserted by Ide and Beroza, but rather it was because of the scale dependent Vr-induced local similarity of spectrum as shown in a previous study by the authors. The energy release rate Gc with respect to breakdown distance Dc from the extended slip-weakening model coincided with that given by Ellsworth and Beroza in a study on the rupture nucleation phase; and the empirical relationship given by Abercrombie and Rice can represent the results from the extended slip-weakening model, the results from laboratory stick-slip experiments by Ohnaka, and the results given by Ellsworth and Beroza simultaneously. Also the energy flux into the breakdown zone was well correlated with the breakdown stress drop, ${\tilde{e}}$ and peak slip velocity of the fault faces. Consequently, the investigation results indicate the appropriateness of the extended slip-weakening model.

Characteristics of Source Acupoints: Data Mining of Clinical Trials Database (데이터 마이닝을 이용한 임상연구 데이터베이스 기반 원혈의 주치 특성)

  • Choi, Dha-Hyun;Lee, Seoyoung;Lee, In-Seon;Ryu, Yeonhee;Chae, Younbyoung
    • Korean Journal of Acupuncture
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    • v.38 no.2
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    • pp.100-109
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    • 2021
  • Objectives : Source acupoint is one of the representative acupoints to treat various diseases in each meridian. We aimed to identify the patterns of selection of Source acupoints and their associations with diseases using clinical trials data. Methods : We extracted the frequency of Source acupoints across 30 diseases from clinical trials database. Acupuncture treatment regimens were retrieved from the Cochrane Database of Systematic Reviews. The frequency of Source acupoint use was calculated as the number of studies using a certain acupoint divided by the total number of included studies. Using hierarchical clustering and multidimensional scaling, the characteristics of Source acupoints were analyzed based on the similarity of the relationships between the Source acupoints and the diseases. Results : A total of 421 clinical trials were included for this analysis. LR3, HT7, KI3, and LI4 acupoints were most frequently used for the treatment of 30 diseases. Cluster analysis showed that LR3 and LI4 acupoints were grouped together and HT7 and KI3 acupoints were grouped together. Multidimensional scaling revealed that LR3, LI4, HT7, and KI3 acupoints have intrinsic properties in the two-dimensional space. Conclusions : The present study identified the selection patterns of the Source acupoints using clinical trials data. Our finding will provide the understanding of the characteristics of Source acupoints.

A Study on Positioning of Restaurants Based on Their Competitive Relationships and Consumer Preferences - Focused on Six Family Restaurants in the Metropolitan Area - (패밀리 레스토랑의 경쟁 관계와 고객 선호도에 대한 포지셔닝 연구 - 수도권의 6개 패밀리 레스토랑을 중심으로 -)

  • Ahn, Sung-Sik;Ra, Young-Sun
    • Culinary science and hospitality research
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    • v.13 no.1 s.32
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    • pp.24-40
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    • 2007
  • This study investigated an effective countermeasure of each restaurant under the present market conditions by grasping consumers‘ brand recognition and preferences over six restaurants in the metropolitan area centering around Seoul and comparing and analyzing selection properties that satisfy customers. The survey used a self-recording method that respondents write in the answers in person, and its subjects were the customers of restaurants in the metropolitan area from July to August, 2006. We made the MDS(multidimensional scaling) analysis of the available data from 408 respondents, using the SPSS statistical analysis program. The result was as follows. First, there were intensely competitive relationships between Nolboo Bossam and Wonhalmeoni Bossam, and between Outback Steakhouse and TGIF. Marche and Bennigan’s, however, didn‘t have a competitive relationship but kept a complementary one. Second, Wonhalmeoni Bossam was most favorably commented upon in its facilities, atmosphere, location, services, convenience(business hours, parking, transportation), recognition(popularity, fame, advertisement), sanitation and cleanliness, reasonable prices (food and drinks), etc., and then came Nolboo Bossam, TGIF, Outback Steakhouse, Bennigan’s, and Marche in that order. Third, in case of selection properties on taste of food, TGIF was estimated as the best, and then came Outback Steakhouse, Bennigan's, Marche, Wonhalmeoni Bossam, and Nolboo Bossam.

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The piling-up/sinking-in response of elasto-plastic materials in nano-indentation using sharp indenter (나노 인덴테이션 시험에서의 탄소성 재료의 파일업/싱크인 특성)

  • Kim, Byung-Min;Lee, Chan-Joo;Lee, Jung-Min;Lee, Sang-Jin
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.1367-1372
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    • 2007
  • Over the past decade, many computational researches have been performed to investigate quantitative relationships between load-displacement and material properties. But piling-up which causes errors to estimate mechanical material properties remains the most significant unresolved issue in nano-indentation test. This study has estimated quantitative aspects of the effects of material properties, especially work hardening exponent, on piling up/sinking in response of various materials. Using FE Analysis, piling up/sinking in response when material is indented by sharp indenter is investigated to evaluate the effects of material properties. From the FE analysis result, quantitative relationships between piling up/sinking in height and material properties is assessed using dimensional analysis which is used to define scaling variables and universal functions. And nano-indentaion test is performed to verify this relation on various materials. From the result of comparison with prediction from dimensional function and experiment, the work hardening exponent was found to have greater influence on the piling up/sinking in height during the nano-indentation than other material properties, such as elastic modulus and yield stress.

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The Classification and Interpretation of Korean Soils Derived from Sedimentary Rocks using Multidimensional Scaling (다차원척도법을 이용한 우리나라 퇴적암 유래토양의 분류 및 해설)

  • Sonn, Yeon-Kyu;Seo, Myung-Chul;Park, Chan-Won;Hyun, Byung-Keun;Zhang, Yong-Seon
    • Korean Journal of Soil Science and Fertilizer
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    • v.41 no.6
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    • pp.387-392
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    • 2008
  • It is very important to characterize five major properties of topography, drainage class, soil texture, available soil depth, and gravel content for soil survey. We used multidimensional scaling method for analyzing five major properties for the soils originated from sedimentary rocks to understand their relationships. We simplified 5 major characteristics on soils derived from sedimentary rocks. That is, topographic factor was 15 to 9, soil texture was 32 to 6, drainage class was 6 to 5, available depth was 4, and gravel content was 3. For the viewpoint of eigenvector, from dimension 2, 3 to dimension 1, 4, mountain soils and more fine soils dominated. By eigenvalue, there was no tendency, but in details, was some tendency between small groups. Like this, closely observe exceptional distribution of soils, we need improved intra-group homogeneity based on weight control of soil factor, addition and subtraction of soil factors. Also, we carefully analyzed soil characteristics involved intra-group, then we need reconsideration of past classification units.

Multidimensional Scaling Using the Pseudo-Points Based on Partition Method (분할법에 의한 가상점을 활용한 다차원척도법)

  • Shin, Sang Min;Kim, Eun-Seong;Choi, Yong-Seok
    • The Korean Journal of Applied Statistics
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    • v.28 no.6
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    • pp.1171-1180
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    • 2015
  • Multidimensional scaling (MDS) is a graphical technique of multivariate analysis to display dissimilarities among individuals into low-dimensional space. We often have two kinds of MDS which are metric MDS and non-metric MDS. Metric MDS can be applied to quantitative data; however, we need additional information about variables because it only shows relationships among individuals. Gower (1992) proposed a method that can represent variable information using trajectories of the pseudo-points for quantitative variables on the metric MDS space. We will call his method a 'replacement method'. However, the trajectory can not be represented even though metric MDS can be applied to binary data when we apply his method to binary data. Therefore, we propose a method to represent information of binary variables using pseudo-points called a 'partition method'. The proposed method partitions pseudo-points, accounting both the rate of zeroes and ones. Our metric MDS using the proposed partition method can show the relationship between individuals and variables for binary data.

Evaluation of Liquefaction Resistance Strength based on the Cyclic Triaxial Tests using Real Earthquake Loading (실지진하중의 진동삼축시험에 기초한 액상화 저항강도 산정)

  • 심재욱;김수일;최재순;박근보
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.03a
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    • pp.67-74
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    • 2002
  • An experimental assessment on the dynamic behavior of saturated sand which can consider the irregular characteristics of earthquakes was proposed. The equivalent uniform stress concept presented by Seed and Idriss has been applied to evaluate the liquefaction resistance strength to simplify earthquake loading. However, it was known that the liquefaction resistance strength of soil based on the equivalent uniform stress concept can't exactly mirror the dynamic characteristics of the irregular earthquake motion. In this study, estimation of the criterion of the liquefaction resistance strength was determined by applying real earthquake loading to the cyclic triaxial test. From the test results, relationships between excess pore water pressure and the earthquake characteristics such as magnitude or duration were determined. Magnitude scaling factors to determine the soil liquefaction resistance strength in seismic design were also proposed.

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Author co-citation mapping and changes of intellectual structure in a subject area : with reference to Korean history (저자용인용 메핑과 학문의 지적구조변화)

  • 조명희
    • Journal of the Korean Society for information Management
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    • v.10 no.1
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    • pp.65-96
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    • 1993
  • This research fulfills two objectives of the study relating to the analysis of changing intellectual structure and its development of Korean history during 1980s: 1) investigation of intellectural structures of two successive time periods using author co-citation study analysis: 2) validation of the results of author co-citation analysis using assessments of experts collected from scholarly reviews and direct data drawn from the researchers in the area of Korean history. Three approaches to multivariate analysis as multi-dimensional scaling, cluster analysis, and factor analysis are used to display the inter-author relationships in the author similarity matrix.

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Perceptual Dimensions of Korean Vowel: A Link between Perception and Production (한국어 모음의 지각적 차원 -지각과 산출간의 연동-)

  • Choi, Yang-Gyu
    • Speech Sciences
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    • v.8 no.2
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    • pp.181-191
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    • 2001
  • The acoustic quality of a vowel is known to be mostly determined by the frequencies of the first formant(Fl) and the second formant(F2). The perceptual(or psychological) dimensions of vowel perception were examined in this study. Also the relationships among perceptual dimensions, acoustical dimensions(Fl & F2), and articulatory gestures of vowel were discussed. Using multi-dimensional scaling(MDS) technique, the experiment was performed in order to identify the perceptual dimensions of the perception of Korean vowel. In the experiment 8 Seoul standard speakers performed the similarity rating task of 10 synthesized Korean vowels. Two-dimensional MDS solution based. on the similarity rating scores was obtained. The results showed that two perceptual dimensions, D1 and D2 were correlated strongly with F2 and F1(r = -.895 and .878 respectively), and were so interpreted as 'vowel advancement' and 'vowel height' respectively. The relationship between the perceptual dimensions of vowel and the articulatory positions of tongue suggested that perception may be directly linked to production. Further research problems were discussed in the .final section.

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Development of FE Analysis Scheme for Milli-Part Forming Using Grain and Grain Boundary Element (입자요소를 이용한 미세 박판 부품의 유한요소 해석 기법 개발)

  • 구태완;김동진;강범수
    • Transactions of Materials Processing
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    • v.11 no.5
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    • pp.439-446
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    • 2002
  • This study presents a new computational model to analyze the grain deformation in a polycrystalline aggregate in a discrete manner and based directly in the underlying physical micro-mechanisms. When scaling down a metal forming process, the dimensions of the workpiece decrease but the microstructure of the workpiece remains the similar. Since the dimensions of the workpiece are very small, the microstructure especially the grain size will play an important role in micro forming, which is called size effects. As a result, specific characteristics have to be considered for the numerical analysis. The grains and grain boundary elements are introduced to model individual grains and grain boundary facets, respectively, to consider the size effects in the micro forming. The constitutive description of the grain elements accounts for the rigid-plastic and the grain boundary elements for visco-elastic relationships. The capability of the proposed approach is demonstrated through application of grain element and grain boundary element in the micro forming.