• Title/Summary/Keyword: helix surface

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ON CONSTRUCTIONS OF MINIMAL SURFACES

  • Yoon, Dae Won
    • Journal of the Chungcheong Mathematical Society
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    • v.34 no.1
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    • pp.1-15
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    • 2021
  • In the recent papers, S'anchez-Reyes [Appl. Math. Model. 40 (2016), 1676-1682] described the method for finding a minimal surface through a geodesic, and Li et al. [Appl. Math. Model. 37 (2013), 6415-6424] studied the approximation of minimal surfaces with a geodesic from Dirichlet function. In the present article, we consider an isoparametric surface generated by Frenet frame of a curve introduced by Wang et al. [Comput. Aided Des. 36 (2004), 447-459], and give the necessary and sufficient condition to satisfy both geodesic of the curve and minimality of the surface. From this, we construct minimal surfaces in terms of constant curvature and torsion of the curve. As a result, we present a new approach for constructions of the minimal surfaces from a prescribed closed geodesic and unclosed geodesic, and show some new examples of minimal surfaces with a circle and a helix as a geodesic. Our approach can be used in design of minimal surfaces from geodesics.

Analysis of Helical Pile Behavior in Sands Varying Helix Pitch Based on Numerical Analysis Results (사질토에 근입된 헬릭스 피치에 따른 헬리컬 파일의 수치해석적 거동분석)

  • Bak, Jongho;Lee, Kicheol;Choi, Byeong-Hyun;Kim, Dongwook
    • Journal of the Korean Geosynthetics Society
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    • v.17 no.4
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    • pp.29-40
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    • 2018
  • Oil sands, which are largely distributed in Canada and Venezuela, are a mixture of crude oil and sandy soils. In order to extract crude oil from oil sands, construction of massive oil sand plants is required. Generally, the typically-used foundation types of the oil sand plant are driven piles and cast-in-place piles. Most of the oil sand plants are located in cold and remote regions. Installation of driven piles in frozen or organic surface soils is difficult due to high resistance and installation equipment accessability, while the cast-in-place pile has concrete curing problem due to cold temperature. Helical pile can be installed quickly and easily using rotation with a little help of vertical load. As the installation of helical pile is available using a small and light-weight installation equipment, accessibility of installation equipment is improved. The helical pile has an advantage of easy removal by rotation in reverse direction compared with that of installation. Furthermore, reuse of removed helical piles is possible when the piles are structurally safe. In this study, the behavior of helical piles varying helix pitch was analyzed based on the numerical analysis results. Numerical model was calibrated based on the results of model helical pile tests in laboratory. The ultimate helical pile loads, the displacement of each helix attached to the shaft of the helical pile, and the load sharing ratio of each helix were analyzed.

Analysis of the Dimensionless Torque in Cone Drum False Twisting Mechanism

  • Lee, Choon-Gil;Kang, Tae-Jin
    • Fibers and Polymers
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    • v.4 no.4
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    • pp.161-168
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    • 2003
  • An investigation of the dimensionless torque in the newly developed cone drum twister texturing mechanism is reported. The cone drum twister is one of the outer surface contacting friction-twisting devices in false-twist texturing. In this cone drum twister, a filament yam passes over the surface of the cone drum that rotates by the passing yarn without a special driving device. This research is composed of the theoretical analysis of the false twisting mechanism and the experimental analysis at room temperature. The equations have been derived which shows interrelationship of the conical angle of cone drum, the wrapping angle, the drag angle, and the yam helix angle. Theoretical values of dimensionless torque were calculated and were compared with the experimental results. It is shown that, as the conical angle and the projected wrapping angle increased, the dimensionless torque also increased. But the conical angle was reached to ${30.75}^{\circ}C$, the dimensionless torque decreased.

Relationship Between Flat End-mill Shape and Geometrical Characteristics in Side Walls Generated by End-milling Process (엔드밀링 공정에 의하여 생성된 측벽의 기하학적 특성과 평엔드밀 형상 사이의 관계)

  • Kim, Kang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.1
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    • pp.95-103
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    • 2015
  • This paper presents the effects of the tool shape on the geometrical characteristics of flat end-milled side walls. A tool shape is characterized by such parameters as helix angle, number of cutting edges, and diameter. The geometrical characteristics of the side walls are represented by the surface profiles in the feed and axial directions, which are orthogonal to each other. The geometrical defects in each direction are estimated based on the instantaneous apparent cutting areas, which are represented by the interference area between the tool and workpiece and that between the cutting edge and workpiece. It is confirmed that a geometrical defect in the feed direction is formed when the tool leaves the workpiece and the curvature of the tool path changes. Defects in the axial direction are also found in the side walls, except for the defect zone in the feed direction. An up-cut using an end-mill with a steeper helix angle, a greater number of cutting edges, and a smaller diameter are thus found to improve the geometrical accuracy of end-milled side walls.

Machinability Evaluation according to Variation of Endmill Shape for High Speed Machining (고속가공용 엔드밀 형상변화에 따른 가공성 평가)

  • Kang, Myung-Chang;Kim, Jeong-Suk;Lee, Deuk-Woo;Kim, Kwang-Ho;Ha, Dong-Geun
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.5
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    • pp.133-138
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    • 2002
  • The technique of high speed machining is widely studied in machining fields, because the high efficiency and accuracy in machining can be obtained in high speed machining. Unfortunately the development of tool fur high speed machining in not close behind that of machine tool. In this study, 10 types flat endmill is prepared for obtaining data according to tool shape. Especially, we concentrated in helix angle, number of cutting edge and rake angle. Cutting condition is selected for several experiments and measuring cutting farce, tool life, tool wear and chip shape according to cutting length. 3-axis cutting farces are acquired from the tool dynamometer with high natural frequency, as the conventional tool dynamometer (9257B, Kistler) has cannot measure the state of high frequency force. Particularly, we found out that the axial cutting force waveform has a good relation with tool wear features. And flow is interrupted at the beginning of cutting by the decrease of rake angle. By above results. it is suggested the endmill tool with 45$^{\circ}$helix angle, 6 cutting edge and -15$^{\circ}$rake angle is suitable for high speed machining.

The Effect of Structural Factors on the Torsional Rigidity of Yarns

  • Park, Jung Whan
    • Fashion & Textile Research Journal
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    • v.2 no.5
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    • pp.437-442
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    • 2000
  • In this paper, in order to examine the torsional behaviour of twisted yarn closely, the torsional rigidity would be derived in terms of physical and mechanical characteristics of its constituent fibers and yarn structural parameters by energy-method. And the propriety of the theory will be discussed by comparing with experimental results. The torsional rigidity of yarn in both experimental and theoretical results decreases with surface helix angle increases. But the experimental values are more higher than those of the theoretical ones.

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Computer Simulation of Angiotensin II Binding to Its Receptor for de novo Lead Search

  • Kim, Dooil;Youngdo Won
    • Proceedings of the Korean Biophysical Society Conference
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    • 1996.07a
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    • pp.23-23
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    • 1996
  • A working molecular model of the angiotensin II type 1 receptor is built based on the seven transmembrane helix structure of the recently refined bacteriorhodopsin atomic coordinates. A multiple copy simultaneous search (MCSS) method is used to search the pharmacophore of angiotensin on the surface of the receptor. Multiple copies of amino acid fragments and organic functional groups are scattered around the possible binding site and the time dependent. (omitted)

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Analysis on the Surface Accuracy in according to Geometry of End Mill (엔드밀의 형상에 따른 가공정밀도 해석)

  • 고성림;이상규;김용현
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.05a
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    • pp.1001-1004
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    • 2000
  • As tools for machining precision components, end mills and ball end mills are widely used. For the end mills have longer cylindrical shape comparing diameter, liable to deflect and induce deterioration of surface roughness. Tool geometry parameters and cutting process have complex relations with each other. So, It is hard to determine hew to select optimal tool geometry. So, to improve the stiffness, relationship between cutting process and tool geometry must be studied. In this study, relations between grinding wheel geometry, setting condition and tool geometry are revealed. For the purpose of studying relations between each parameter, the equivalent diameter of tool has been calculated assuming tool as a simple beam. By the various cutting simulations and experiments, tool geometry and cutting process has been studied.

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Improvement of the Accuracy in Machining Deep Pocket by Up Milling (상향절삭에 의한 깊은 홈 가공시 정밀도 향상에 대한 연구)

  • Lee, Sang-Kyu;Ko, Sung-Lim
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.4 s.97
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    • pp.220-228
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    • 1999
  • The machining accuracy has been improved with the development of NC machine tools and cutting tools. However, it is difficult to obtain a high degree of accuracy when machining deep pocket with long end mill, since machining accuracy is mainly dependant on the stiffness of the cutting tool. To improve surface accuracy in machining deep pocket using end mill, the performance by down cut and up cut is compared theoretically and experimentally. To verify usefulness of up milling, various experiments were carried out. As a result, it is found that up milling produce more accurate surface than down milling in machining deep pocket. For effective application of up milling, various values in helix angle, number of teeth, radial depth of cut and axial depth of cut are applied in experiment.

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Ultrastructure of Wood Cell Wall Tracheids - The Structure of Spiral Thickenings in Compression Wood - (목재세포벽(木材細胞壁)의 미세구조(微細構造)에 관한 연구(硏究) - Compression wood의 나선비후(螺旋肥厚)의 구조(構造) -)

  • Lee, Won-Yong
    • Journal of the Korean Wood Science and Technology
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    • v.9 no.1
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    • pp.1-12
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    • 1981
  • The structure of spiral thickenings, particulary the appearance, arrangement and orientation of thickenings in compression wood of Torreya nucifera, were studied in detail by light and polarizing microscope, scanning and transmission electron microscope. The results obtained are as follows: (1) Using the inclined sections at an angle of 45 degrees to the fiber axis, it seems that we can not only observe the more accurate transverse view of the thickenings but also investigate the formation of their thickenings. (2) Generally 2-4 pieces of thickenings are projected to the cell lumen as nipple-like appearance in transverse section and are as frequent, well developed, forming pair and have the rope-like appearance in radial surface. (3) The secondary wall of early wood is composed of 3 layers (S1, S2, S3) and orientation of thickening appears S helix but that of late wood is of 2 layers (S1, S2) and that orientation shows Z helix. Above two regions are demaracted at several tracheid cells from the growth ring boundary. (4) Orientation of thickening seems to be a element showing the characteristics of compression wood in Torreya nucifera. (5) It believes that the thickenings of compression wood are integral part of the S3 in early wood tracheids and of the S2 in late wood and have the same orientations as the inner-most microfibrils in these layers. (6) Thickening and cavities seem to be not formed together in a secondary cell wall of same tracheids.

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