• Title/Summary/Keyword: self-similar curves

Search Result 14, Processing Time 0.031 seconds

SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

  • OZDEMIR, MUSTAFA;SIMSEK, HAKAN
    • Bulletin of the Korean Mathematical Society
    • /
    • v.52 no.6
    • /
    • pp.2071-2093
    • /
    • 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
    • /
    • v.15 no.4
    • /
    • pp.197-208
    • /
    • 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
    • /
    • v.19 no.1
    • /
    • pp.33-39
    • /
    • 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
    • /
    • v.6 no.2
    • /
    • pp.257-268
    • /
    • 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.

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

  • Kim, Young-Sang
    • Proceedings of the Korean Geotechical Society Conference
    • /
    • 2005.03a
    • /
    • pp.370-375
    • /
    • 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.

  • PDF

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

  • Kim, Mun-Ki;Kim, Seung-Han;Yoon, Young-Bin
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.30 no.5
    • /
    • pp.71-78
    • /
    • 2002
  • Experiments have been performed using two-color PIV in hydrogen non-premixed flames with various conditions of coaxial air, which was classified into three cases with/without reaction. Mean velocity, turbulence intensity and Reynolds stress were analyzed using flow fields from PIV measurement First, the similarity of pure jet had a good agreement with previous results of other researchers. It was found that the decay of centerline velocity was proportional to $x^{-1}$ in coaxial air conditions. By normalizing axial distance with effective jet diameter defined by effective density, the data of centerline velocity collapsed a single line. And the radial profiles of mean velocity showed that they didn't become self-similar because the curves differed from each other as coaxial air velocity increased at fixed fuel velocity. Also, turbulence intensity became self-similar further downstream than mean velocity.

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

  • 김영상
    • Journal of the Korean Geotechnical Society
    • /
    • v.20 no.3
    • /
    • pp.151-159
    • /
    • 2004
  • This paper describes a systematic way of identifying the horizontal coefficient of consolidation of clayey soil 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 of excess pore pressures as a function of the rigidity index and subsequent dissipation of excess pore pressures around a pressuremeter Horizontal coefficient of consolidation was determined by minimizing the differences between theoretical and measured excess pore pressure curves over 50% degree of dissipation range using optimization technique. The effectiveness of the proposed back-analysis method was examined against the real fled performances obtained from pressuremeter strain holding tests at Gimje and Yangsan site. It is shown that the proposed back-analysis method can evaluates the rational horizontal coefficient of consolidation, which is similar to those obtained from the piezocone dissipation test. Furthermore, proposed method can evaluate appropriate coefficient of consolidation for soil under partially drained condition.

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
    • /
    • v.52 no.3
    • /
    • pp.220-229
    • /
    • 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.

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

  • 정현숙
    • The Research Journal of the Costume Culture
    • /
    • v.12 no.2
    • /
    • pp.224-238
    • /
    • 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.

  • PDF

The Stress-Strain Properties of No-Fines Lightweight Concrete Using Synthetic Lightweight Coarse Aggregate (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))

  • Min, Jeong Ki;Kim, Seong Wan;Sung, Chan Yong;Kim, Kyung Tae
    • Korean Journal of Agricultural Science
    • /
    • v.23 no.1
    • /
    • pp.120-130
    • /
    • 1996
  • Concrete is the most commonly used structural materials, but in concrete construction, its self-weight represents a very large proportion of the total load on the structure, and there are clearly considerable advantages in reducing the density of concrete. This study was carried out to investigate the stress-strain properties of no-fines synthetic lightweight concrete with synthetic lightweight coarse aggregates. The used synthetic lightweight coarse aggregate were two types, one was expanded clay with grading 3~8mm, the other is pumice stone with grading 4.75~10mm. The results of this study were summarized as follows ; The static modulus of elasticity of the synthetic lightweight concrete was $1.8{\times}10^5kg/cm^2$ at type CE using the expanded clay and $1.6{\times}10^5kg/cm^2$ at type CL using the pumice stone. The dynamic modulus of elasticity was $1.9{\times}10^5kg/cm^2$(CE) and $2.0{\times}10^5kg/cm^2$(CL). The dynamic modulus of elasticity was 10~30% larger than that of the static modulus of elasticity. The load-time curves of synthetic lightweight concrete were shown approximately similar to each other type except for added foaming agent. The stress-strain curves in uniaxial compressive of synthetic lightweight concrete were similar to each other.

  • PDF