• Title/Summary/Keyword: S-curve

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A study on the biarc curve fitting of involute curve (Involute Curve의 Biarc Curve Fitting에 관한 연구)

  • Lee, C.M.;Lee, S.H.;Cho, S.R.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.12
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    • pp.78-85
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    • 1996
  • The determination of the optimum biarc curve passing through a given set of points along involute curve is studied. The method adopted is that of finding the optimum no. of span and the optimum length of the span such that the error between the biarc curve and involute curve is minimum. Irregular curve span method is effectively used to describe the involute curve with reduced length of NC-Code.

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BETCHOV-DA RIOS EQUATION BY NULL CARTAN, PSEUDO NULL AND PARTIALLY NULL CURVE IN MINKOWSKI SPACETIME

  • Melek Erdogdu;Yanlin Li;Ayse Yavuz
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1265-1280
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    • 2023
  • The aim of this paper is to investigate Betchov-Da Rios equation by using null Cartan, pseudo null and partially null curve in Minkowski spacetime. Time derivative formulas of frame of s parameter null Cartan, pseudo null and partially null curve are examined, respectively. By using the obtained derivative formulas, new results are given about the solution of Betchov-Da Rios equation. The differential geometric properties of these solutions are obtained with respect to Lorentzian causal character of s parameter curve. For a solution of Betchov-Da Rios equation, it is seen that null Cartan s parameter curves are space curves in three-dimensional Minkowski space. Then all points of the soliton surface are flat points of the surface for null Cartan and partially null curve. Thus, it is seen from the results obtained that there is no surface corresponding to the solution of Betchov-Da Rios equation by using the pseudo null s parameter curve.

Antisymmetric S-curve Profile for Fast and Vibrationless Motion (고속 저진동 운동을 위한 비대칭 S-커브 프로파일)

  • Rew Keun-Ho;Kwon Jeong-Tae;Park Kyoung-Woo
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.10
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    • pp.1012-1017
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    • 2006
  • By breaking the symmetry of the velocity profile in the S-curve, we developed a fast starting and smooth ending motion profile, named asymmetric S-curve(AS-curve). The problem for generating motion profile is formulated, and the algorithm for the AS-curve is derived and the flow chart of the AS-curve is illustrated. By various simulations, the derived algorithm is tested and shows the validity. This AS-curve can be applied to the high precision machines where fast and vibrationless motion is required in the near future.

A study on the Patterns of ART NOUVEAU Silhouette by Draping Design (입체재단법에 의한 ART NOUVEAU 의상 SILHOUETTE의 PATTERN 연구)

  • 정흥숙
    • Journal of the Korean Society of Costume
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    • v.50
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    • pp.5-22
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    • 2000
  • The study on the past costume should be done first for the creation of new style of fashion. That is one of the reasons why we have to annalize characteristic style in each period. Before the latter of nineteenth century one must have made the costume by draping design. Because the complicated clothes can be expressed by draping deign think that the subject draping design is even more important than other subject. But there haven't been the studies that analyzed the pattern of Art Nouveau style by draping design in Korea. Art Nouveau style is a certain one that was relatively more changeable than the ones of other periods. The purpose of this study is the analysis about the patterns of hourglass and S-curve style which represented the Art Nouveau style. The results of the study summarized as follows. 1. Bodice pattern : In the front Hourglass silhouette has the princess line for fitting bodice while S-curve silhouette has the wide midriff due to the blousing. There is the yoke in S-curve one. In the pattern of back bodice we can't see the much differences but Hourglass silhouette is used the princess line like the front one while S-curve is made use of the waist darts for fitting back. 2. Sleeve pattern : Hourglass silhouette is made of two pieces the upper part and lower part besides S-curve is consisted of one pieces. The former has the big upper part in order to the emphasis of the shoulder and the tight lower part. The latter is the tight sleeve that similar to the basic sleeve pattern at present. 3. Skirt pattern: There is partially a gored line in the front skirt in Hourglass silhouette however S-curve silhouette is consisted of the six pieces gored skirt. At this part we can also see the fact that s-curve is more complicated than Hourglass silhouette. 4. Others: Wecan find out the differences between Hourglass and S-curve pattern easily at the parts of the collar flounce wing and so on. Summing up, the patterns of S-curve style are more expanded than those of Hourgalss style for the most part.

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Final Settlement Prediction Methods of Embankments on Soft Clay by Back Analysis (역해석에 의한 연약지반 최종침하량 추정)

  • Lim, Seong Hun;Kang, Yea Mook;Lee, Dal Won
    • Korean Journal of Agricultural Science
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    • v.25 no.2
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    • pp.247-259
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    • 1998
  • Analyses which loads were regarded as instant load and gradual step load were performed with data measured on gradually loaded field, and the results were inspected to find effect of load condition, and final settlements predicted by Hyperbolic, Tan's, Asaoka's, and Monden's method were compared with each other. According to above analyses, the following conclusions were obtained. Settlement curves which loads were regarded as instant load and gradual step load were beginning to coincide at time of twice duration of embankment. On the ground installed vertical drain, the result of Hyperbolic, Tan's, Asaoka's, Monden's, curve fitting I, and curve fitting II (simple, Carrillo) methods make conclude that Asaoka, curve fitting I, and curve fitting II methods agree with measured settlement.

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A study on Auto-drawing for Involute Curve and Trochoidal fillet curve (인벌류트 커브와 트로코이드 필렛 커브의 자동생성에 관한 연구)

  • Kim, M.J.;Prak, J.H.;Kim, T.H.;Lee, S.S.;Jeon, E.C.
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.834-840
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    • 2001
  • Gear is general mechanical elements that used for power transmission between two shafts that interval is comparatively short. and it delivers big power as accurate ratio of speed. The profile of Spur gear which is the most basic factor is divided into Trochoidal fillet curve and Involute curve. Involute curve is used a lot of a shaped curve of machine parts such as a gear, a scroll compressor and a collar of centrifugal pump. However, It is poor to study the modeling of Trochoidal fillet curve and the three dimensions model shaped mathematical curve. This paper describes a mathematical model of profile shifted involute gear. and this model is based on Camus's theory. We draw three dimensions gear have accurate mathematical function using ADS, VisualLISP. and To check accuracy and perfection, we make a program of checking Interference. and use for this study.

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Evaluation of Flow Stress of Metal up to High Strain (금속소재의 고변형률 영역 유동응력선도 평가)

  • Lee, S.K.;Lee, I.K.;Lee, S.Y.;Lee, S.M.;Jeong, M.S.
    • Transactions of Materials Processing
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    • v.29 no.6
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    • pp.316-322
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    • 2020
  • The flow stress curve is usually determined via uniaxial tensile or simple compression test. However, the flow stress curve up to high strain cannot be obtained using these two tests. This study presents a simple method for obtaining the flow stress curve up to high strain via FE analysis, a simple compression test, and an indentation test. In order to draw the flow stress curve up to high strain, the indentation test was carried out with the pre-stained specimen using the simple compression test. The flow stress curve of Al6110 was evaluated up to high strain using the proposed method, and the result was compared with the flow stress curve of the uniaxial tensile test of the initial material.

Off-Design Performance Prediction of Multi-Stage Axial-Compressor by Stage-Stacking Method (단 축적법을 이용한 다단 축류 압축기 탈설계 성능예측)

  • Park, Tae-Jin;Baek, Je-Hyun;Yoon, Sung-Ho
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.789-794
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    • 2001
  • In this study, a program for the off-design performance prediction of multi-stage axial-compressors is developed based on stage-stacking method. To account for the increased losses at off-design conditions, generalized performance curve is applied. The purpose of this study is to investigate the influence of the choice of generalized performance curve and stator exit angle. For this purpose, we tested various generalized performance curves and stator exit angles. In conclusion, Muir's pressure coefficient curve gives a good prediction results regardless of the efficiency curve for a low-stage compressors. On the other hand, for high-stage compressors, The combination of Muir's pressure coefficient curve and Stone's efficiency curve gives a optimistic results. Stator exit angle has a small effect on overall performance curve.

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Fatigue performance of deepwater SCR under short-term VIV considering various S-N curves

  • Kim, D.K.;Choi, H.S.;Shin, C.S.;Liew, M.S.;Yu, S.Y.;Park, K.S.
    • Structural Engineering and Mechanics
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    • v.53 no.5
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    • pp.881-896
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    • 2015
  • In this study, a method for fatigue performance estimation of deepwater steel catenary riser (SCR) under short-term vortex-induced vibration was investigated for selected S-N curves. General tendency between S-N curve capacity and fatigue performance was analysed. SCRs are generally used to transport produced oil and gas or to export separated oil and gas, and are exposed to various environmental loads in terms of current, wave, wind and others. Current is closely related with VIV and it affects fatigue life of riser structures significantly. In this regards, the process of appropriate S-N curve selection was performed in the initial design stage based on the scale of fabrication-related initial imperfections such as welding, hot spot, crack, stress concentration factor, and others. To draw the general tendency, the effects of stress concentration factor (SCF), S-N curve type, current profile, and three different sizes of SCRs were considered, and the relationship between S-N curve capacity and short-term VIV fatigue performance of SCR was derived. In case of S-N curve selection, DNV (2012) guideline was adopted and four different current profiles of the Gulf of Mexico (normal condition and Hurricane condition) and Brazil (Amazon basin and Campos basin) were considered. The obtained results will be useful to select the S-N curve for deepwater SCRs and also to understand the relationship between S-N curve capacity and short-term VIV fatigue performance of deepwater SCRs.

The Study on Determination of the Coefficient of Terzaghi's Consolidation by Curve Fitting (Curve Fittig에 의한 Terzaghi의 압밀계수 산정방법 연구)

  • Kim, Chan Sik;Eam, Sung Hoon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.56 no.1
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    • pp.101-107
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    • 2014
  • It has been known that Terzaghi's consolidation theory is not well consistent with the consolidation phenomenon on the soft clay ground, but this theory has still been adopted normally in practice because there is no method for estimating the consolidation settlement and rate easier than Terzaghi's theory. It is impossible to map whole part of consolidation settlement vs time curve to the curve of Terzaghi'z average degree of consolidation. If the primary consolidation and the secondary compression are happened same time, it would be useless of trying to find the end of primary consolidation, but it is needed for using Terzaghi's theory that the end of consolidation is determined to the time of beginning consistency between the final settlement analyzed with curve fitting and the experimented consolidation settlement.