• 제목/요약/키워드: self-similar curves

검색결과 14건 처리시간 0.02초

SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

  • OZDEMIR, MUSTAFA;SIMSEK, HAKAN
    • 대한수학회보
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    • 제52권6호
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    • pp.2071-2093
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    • 2015
  • In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of non-null curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion of ${\mathbb{E}}_1^n$. We determine the parametrizations of non-null self-similar curves in ${\mathbb{E}}_1^n$.

Global measures of distributive mixing and their behavior in chaotic flows

  • Tucker, Charles L.;Peters, Gerrit W.M.
    • Korea-Australia Rheology Journal
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    • 제15권4호
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    • pp.197-208
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    • 2003
  • Two measures of distributive mixing are examined: the standard deviation $\sigma$ and the maximum error E, among average concentrations of finite-sized samples. Curves of E versus sample size L are easily interpreted in terms of the size and intensity of the worst flaw in the mixture. E(L) is sensitive to the size of this flaw, regardless of the overall size of the mixture. The measures are used to study distributive mixing for time-periodic flows in a rectangular cavity, using the mapping method. Globally chaotic flows display a well-defined asymptotic behavior: E and $\sigma$ decrease exponentially with time, and the curves of E(L) and $\sigma$ (L) achieve a self-similar shape. This behavior is independent of the initial configuration of the fluids. Flows with large islands do not show self-similarity, and the final mixing result is strongly dependent on the initial fluid configuration.

Effect of aggregate type on heated self-compacting concrete

  • Fathi, Hamoon;Lameie, Tina
    • Computers and Concrete
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    • 제19권1호
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    • pp.33-39
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    • 2017
  • In this study, two types of aggregate were used for making self-compacting concrete. Standard cubic specimens were exposed to different temperatures. Seventy-two standard cylindrical specimens ($150{\times}300mm$) and Seventy-two cubic specimens (150 mm) were tested. Compressive strengths of the manufactured specimens at $23^{\circ}C$ were about 33 MPa to 40 MPa. The variable parameters among the self-compacting concrete specimens were of sand stone type. The specimens were exposed to 23, 100, 200, 400, 600, and $800^{\circ}C$ and their mechanical specifications were controlled. The heated specimens were subjected to the unconfined compression test with a quasi-static loading rate. The corresponding stress-strain curves and modulus of elasticity were compared. The results showed that, at higher temperatures, Scoria aggregate showed less sensitivity than ordinary aggregate. The concrete made with Scoria aggregate exhibited less strain. The heated self-compacting concrete had similar slopes before and after the peak. In fact, increasing heat produced gradual symmetrical stress-strain diagram span.

Flow-driven rotor simulation of vertical axis tidal turbines: A comparison of helical and straight blades

  • Le, Tuyen Quang;Lee, Kwang-Soo;Park, Jin-Soon;Ko, Jin Hwan
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제6권2호
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    • pp.257-268
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    • 2014
  • In this study, flow-driven rotor simulations with a given load are conducted to analyze the operational characteristics of a vertical-axis Darrieus turbine, specifically its self-starting capability and fluctuations in its torque as well as the RPM. These characteristics are typically observed in experiments, though they cannot be acquired in simulations with a given tip speed ratio (TSR). First, it is shown that a flow-driven rotor simulation with a two-dimensional (2D) turbine model obtains power coefficients with curves similar to those obtained in a simulation with a given TSR. 3D flow-driven rotor simulations with an optimal geometry then show that a helical-bladed turbine has the following prominent advantages over a straight-bladed turbine of the same size: an improvement of its self-starting capabilities and reduced fluctuations in its torque and RPM curves as well as an increase in its power coefficient from 33% to 42%. Therefore, it is clear that a flow-driven rotor simulation provides more information for the design of a Darrieus turbine than a simulation with a given TSR before experiments.

부분배수가 발생하는 지반의 수평압밀계수 결정을 위한 자가굴착식 프레셔메터 유지시험의 최적화 해석법 (An Optimization Method for Self-Boring Pressuremeter Holding Test to Determine a Horizontal Coefficient of Consolidation under Partial Drained Soil Conditio)

  • 김영상
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2005년도 춘계 학술발표회 논문집
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    • pp.370-375
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    • 2005
  • This paper describes a systematic way of identifying the horizontal coefficient of consolidation for clayey soil under undrained condition and silty soil under partial drained condition by applying an optimization technique to the early part of dissipation data measured from the self-boring pressuremeter strain holding test. An analytical solution developed by Randolph & Wroth (1979) was implemented in normalized form to express the build-up and dissipation of excess pore pressures around a pressuremeter as a function of the rigidity index. Horizontal coefficient of consolidation was determined by minimizing the differences between theoretical and measured excess pore pressure curves using optimization technique. It was found that the proposed optimization technique can evaluate in-situ horizontal coefficient of consolidation rationally, which is similar with that obtained from the piezocone dissipation test. Furthermore, proposed method can evaluate appropriate coefficient of consolidation for soil under partially drained condition.

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동축공기 수소확산 화염의 자기상사성에 대한 연구 (A Study on Self-Similarity in Turbulent Hydrogen Jet Flames with Coaxial Air)

  • 김문기;김승한;윤영빈
    • 한국항공우주학회지
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    • 제30권5호
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    • pp.71-78
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    • 2002
  • 동축공기 수소확산 화염에서 세 가지 동축공기 조건과 화염의 유무에 따라 실험조건을 분류하고, 이에 대해 PIV를 이용하여 실험을 수행하였다. PIV를 통해 얻은 속도장을 이용하여 평균속도, 난류강도, Reynolds stress 등을 구하여 유동장을 분석하였다. 우선 단순제트에 대해 상사성을 살펴본 결과 이전의 다른 연구자의 실험결과와 일치하였다. 동축공기가 있는 경우 중심축 속도 감쇠는 $x^{-1}$에 비례하여 감소하는 것을 확인하였다. 축방향 길이를 유효밀도에 의해 정의된 유효 제트 지름으로 무차원화한 값으로 중심축 속도를 도시한 결과 하나의 선분에 떨어지는 것을 확인하였다. 평균속도 분포를 살펴보면 일정한 연료유량에 동축공기 유량을 증가시킨 경우 동축공기가 증가함에 따라 속도 분포의 형태가 바뀌게 되어 자기상사성이 유지되지 않는 것으로 보인다. 난류강도는 평균속도 분포의 경우보다 후류에서 자기상사성이 나타난다.

간극수압 소산경향을 고려한 자가굴착식 프레셔메터로부터의 수평압밀계수 결정법 (Determination of Horizontal Coefficient of Consolidation from the Self-boring Pressuremeter Holding Test by Considering Pore Pressure Dissipation Trend)

  • 김영상
    • 한국지반공학회논문집
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    • 제20권3호
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    • pp.151-159
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    • 2004
  • 본 논문에서는 자가굴착식 프레셔메터 시험의 변형을 유지시험(strain holding test)에서 관측된 소산시험 결과의 초기 소산경향으로부터 점성토 지반의 수평압밀계수를 추정하기 위한 최적화기법의 적용에 대하여 기술하였다. 프레셔메터의 확장으로 인한 초기 과잉간극수압의 분포는 Randolph. & Wroth(1979)의 해석적 해(analytical solution)를 이용하여 지반의 강성지수의 함수로 모사되었으며 연속된 간극수압 소산과정까지 전과정이 모사되었다. 제안된 기법에서는 이를 소산곡선과 정규화 된 관측 소산곡선이 초기 50% 범위에서 소산경향이 가장 일치하도록 하는 수평압밀계수를 최적화기법을 이용하여 결정하였다. 제안된 기법을 김제와 양산에서 수행된 기존의 자가굴착식 프레셔메터 연구결과의 해석에 적용하였으며 제안된 방법으로 얻어진 수평압밀계수를 기존의 연구결과, 실내 및 원위치 시험결과와 비교하였다. 연구결과 제안된 방법은 피에조콘 소산시험과 매우 일관성있게 일치하는 수평압밀계수를 제공할 뿐 아니라 부분배수가 발생하는 지점에서도 간극수압 소산경향을 반영함으로 인해 보다 적절한 수평압밀계수를 결정할 수 있음을 알았다.

Deep learning improves implant classification by dental professionals: a multi-center evaluation of accuracy and efficiency

  • Lee, Jae-Hong;Kim, Young-Taek;Lee, Jong-Bin;Jeong, Seong-Nyum
    • Journal of Periodontal and Implant Science
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    • 제52권3호
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    • pp.220-229
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    • 2022
  • Purpose: The aim of this study was to evaluate and compare the accuracy performance of dental professionals in the classification of different types of dental implant systems (DISs) using panoramic radiographic images with and without the assistance of a deep learning (DL) algorithm. Methods: Using a self-reported questionnaire, the classification accuracy of dental professionals (including 5 board-certified periodontists, 8 periodontology residents, and 31 dentists not specialized in implantology working at 3 dental hospitals) with and without the assistance of an automated DL algorithm were determined and compared. The accuracy, sensitivity, specificity, confusion matrix, receiver operating characteristic (ROC) curves, and area under the ROC curves were calculated to evaluate the classification performance of the DL algorithm and dental professionals. Results: Using the DL algorithm led to a statistically significant improvement in the average classification accuracy of DISs (mean accuracy: 78.88%) compared to that without the assistance of the DL algorithm (mean accuracy: 63.13%, P<0.05). In particular, when assisted by the DL algorithm, board-certified periodontists (mean accuracy: 88.56%) showed higher average accuracy than did the DL algorithm, and dentists not specialized in implantology (mean accuracy: 77.83%) showed the largest improvement, reaching an average accuracy similar to that of the algorithm (mean accuracy: 80.56%). Conclusions: The automated DL algorithm classified DISs with accuracy and performance comparable to those of board-certified periodontists, and it may be useful for dental professionals for the classification of various types of DISs encountered in clinical practice.

1920년대와 1960년대의 패션에 나타난 유사성에 관한 연구 (A Study on the Similarity of Fashion in the 1920′s and 1960′s)

  • 정현숙
    • 복식문화연구
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    • 제12권2호
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    • pp.224-238
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    • 2004
  • This paper analyzes the similarity of fashion in the 1920's and 1960's. Fashion is a reflection of Zeitgeist. The similarity of fashion appeared in the similar social ideal period. The fashion of the 1920's and 1960's have a lot of similarity in many respects. Androgyny was the new word. The woman cut her hair short, wore short skirt, and projected a self-confidence that was considered by many to be too masculine. The new fashions also appeared very youthful. The cult of eternal youth was born. The mature woman was no longer requested. Instead, in the face of changing lifestyles and extremely rapid technological development, taste ran in favor of a young, athletic, and mobile ideal. The new fashions do-emphasized curvaceous shapes through short dresses and short hair-both styles were supposed to express youthfulness. Characteristic of the times was the short loose dress: straight silhouette disguised feminine curves. The new dresses were invented for very young, slim, and wide-eyed women. The common Zeitgeist of the 1920's and 1960's represents the cult of youth and the adoption of innovative style, which emphasized decoration-cleared simplicity, functionality, practicality, activity, androgyny. Innovative short skirt, youth fashion, androgynous style, unisex style, tubular silhouette, short hair style, and eyeline-emphasized makeup were analyzed by the similarity of fashion in the 1920's and 1960's.

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인공경량조골재(人工輕量粗骨材)를 사용(使用)한 무세골재(無細骨材) 경량(輕量)콘크리트의 응력(應力)-변형특성(變形特性) (The Stress-Strain Properties of No-Fines Lightweight Concrete Using Synthetic Lightweight Coarse Aggregate)

  • 민정기;김성완;성찬용;김경태
    • 농업과학연구
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    • 제23권1호
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    • pp.120-130
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    • 1996
  • 본 연구는 세골재는 사용하지 않고 인공경량조골재로써 팽창점토와 경석을 사용하여 제작된 인공경량골재 콘크리트의 응력-변형율특성을 구명하기 위하여 실시되었으며, 시험을 통하여 얻어진 결과를 요약하면 다음과 같다. 1. 동탄성계수는 인공경량조골재인 팽창점토와 경석을 사용한 경우 $1.9{\times}10^5kg/cm^2$$2.0{\times}10^5kg/cm^2$으로 나타났으며, 경석을 사용한 경우가 5%정도 크게 나타났다. 2. 정탄성계수는 팽창점토 및 경석을 사용한 경우 $1.8{\times}10^5kg/cm^2$$1.6{\times}10^5kg/cm^2$으로 나타났으며, 정탄성계수는 동탄성계수보다 10~30%정도 작게 나타났다. 3. 사용골재에 따른 하중-이력곡선은 하중이 증가하여 최대하중에서 파괴가 이루어진 후 급격히 감소하는 경향을 보였으며, 특히 기포제를 첨가한 경우는 최대하중에서 파괴된 이후에도 상당시간 내하능력을 유지하는 것으로 나타났다. 4. 응력-변형율곡선은 사용골재의 종류에 관계없이 응력의 증가와 함께 증가하여 최대하중에서 파괴가 된 후 급격히 감소하는 경향을 보였으며, 취성이 크다는 것을 알 수 있었다. 5. 최대응력하에서의 변형율은 팽창점토를 사용한 경우 $1.7{\times}10^{-3}$, 경석을 사용한 경우는 $2.83{\times}10^{-3}$로써, 팽창점토보다 경석을 사용한 경우의 변형율이 66%정도 크게 나타났다.

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