• Title/Summary/Keyword: total curvature

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Validating a New Approach to Quantify Posterior Corneal Curvature in Vivo (각막 후면 지형 측정을 위한 새로운 방법의 신뢰도 분석 및 평가)

  • Yoon, Jeong Ho;Avudainayagam, Kodikullam;Avudainayagam, Chitralekha;Swarbrick, Helen A.
    • Journal of Korean Ophthalmic Optics Society
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    • v.17 no.2
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    • pp.223-232
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    • 2012
  • Purpose: Validating a new research method to determine posterior corneal curvature and asphericity(Q) in vivo, based on measurements of anterior corneal topography and corneal thickness. Methods: Anterior corneal topographic data, derived from the Medmont E300 corneal topographer, and total corneal thickness data measured along the horizontal corneal meridian using the Holden-Payor optical pachometer, were used to calculate the anterior and posterior corneal apical radii of curvature and Q. To calculate accurate total corneal thickness the local radius of anterior corneal curvature, and an exact solution for the relationship between real and apparent thickness were taken into consideration. This method differs from previous approach. An elliptical curve for anterior and posterior cornea were calculated by using best fit algorism of the anterior corneal topographic data and derived coordinates of the posterior cornea respectively. For validation of the calculations of the posterior corneal topography, ten polymethyl methacrylate (PMMA) lenses and right eyes of five adult subjects were examined. Results: The mean absolute accuracy (${\pm}$standard deviation(SD)) of calculated posterior apical radius and Q of ten PMMA lenses was $0.053{\pm}0.044mm$ (95% confidence interval (CI) -0.033 to 0.139), and $0.10{\pm}0.10$ (95% CI -0.10 to 0.31) respectively. The mean absolute repeatability coefficient (${\pm}SD$) of the calculated posterior apical radius and Q of five human eyes was $0.07{\pm}0.06mm$ (95% CI -0.05 to 0.19) and $0.09{\pm}0.07$ (95% CI -0.05 to 0.23), respectively. Conclusions: The result shows that acceptable accuracy in calculations of posterior apical radius and Q was achieved. This new method shows promise for application to the living human cornea.

Experiment and Strength Analysis of High-Strength RC Columns (고강도 철근 콘크리트 기둥의 실험 및 강도해석)

  • Son, Hyeok-Soo;Kim, Jun-Beom;Lee, Jae-Hoon
    • Magazine of the Korea Concrete Institute
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    • v.11 no.1
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    • pp.149-160
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    • 1999
  • This paper is a part of a research aimed at the verification of basic design rules of high-strength concrete columns. A total of 32 column specimens were tested to investigate structural behavior and strength of eccentrically loaded reinforced concrete tied columns. Main variables included in this test program were concrete compressive strength. steel amount, eccentricity, and slenderness ratio. The concrete compressive strength varied from 356 kg/$cm^2$ to 951 kg/$cm^2$ and the longitudinal steel ratios were between 1.13 % and 5.51 %. Test results of column sectional strength are compared with the results of analyses by ACI rectangular stress block, trapezoidal stress block, and modified rectangular stress block. Axial force-moment-curvature analysis is also performed for predicting axial load-moment strength and compared with the test results. The ACI rectangular stress block provides over-estimated column strengths for the lightly reinforced high strength column specimens. The calculated strengths by moment-curvature analyses are highly affected by $k_3$ values of the concrete stress-strain curve. Observed failure mode. concrete ultimate strain, and stress block parameters are discussed.

Seismic behavior of high-strength concrete flexural walls with boundary elements

  • Kim, Seung-Hun;Lee, Ae-Bock;Han, Byung-Chan;Ha, Sang-Su;Yun, Hyun-Do
    • Structural Engineering and Mechanics
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    • v.18 no.4
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    • pp.493-516
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    • 2004
  • This paper addresses the behavior and strength of structural walls with a concrete compressive strength exceeding 69 MPa. This information also enhances the current database for improvement of design recommendations. The objectives of this investigation are to study the effect of axial-load ratio on seismic behavior of high-strength concrete flexural walls. An analysis has been carried out in order to assess the contribution of deformation components, i.e., flexural, diagonal shear, and sliding shear on total displacement. The results from the analysis are then utilized to evaluate the prevailing inelastic deformation mode in each of wall. Moment-curvature characteristics, ductility and damage index are quantified and discussed in relation with axial stress levels. Experimental results show that axial-load ratio have a significant effect on the flexural strength, failure mode, deformation characteristics and ductility of high-strength concrete structural walls.

L2 HARMONIC FORMS ON GRADIENT SHRINKING RICCI SOLITONS

  • Yun, Gabjin
    • Journal of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1189-1208
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    • 2017
  • In this paper, we study vanishing properties for $L^2$ harmonic 1-forms on a gradient shrinking Ricci soliton. We prove that if (M, g, f) is a complete oriented noncompact gradient shrinking Ricci soliton with potential function f, then there are no non-trivial $L^2$ harmonic 1-forms which are orthogonal to df. Second, we show that if the scalar curvature of the metric g is greater than or equal to (n - 2)/2, then there are no non-trivial $L^2$ harmonic 1-forms on (M, g). We also show that any multiplication of the total differential df by a function cannot be an $L^2$ harmonic 1-form unless it is trivial. Finally, we derive various integral properties involving the potential function f and $L^2$ harmonic 1-forms, and handle their applications.

A Numerical Study on the Turbulent Flow in the Discharge Flow Path from a Diffuser to a Wall (디퓨저에서 벽면으로의 방출유로에서의 난류유동에 관한 수치 해석적 연구)

  • Lee J.;Kim Y. I.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.10a
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    • pp.44-50
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    • 2001
  • A numerical study was made to choose the better turbulence model for the flow in the discharge flow path from a diffuser to a wall. In this study standard $\kappa-\epsilon$ model(SKE), RNG $\kappa-\epsilon$ model(RNG), and Reynolds stress model(RSM) were applied. In case of the flow with relatively high Reynolds number at a diffuser inlet, the pressure loss coefficients by RNG have a tendency to be near to those by SKE at small ratio(below about 0.35) of $h/D_o$, but to those by RSM at large ratio(above about 0.35). At large ratio RNG begins to enlarge the effects of rapid strain and streamline curvature. RNG & RSM are recommended as the appropriate turbulence models for this case. But it is noticeable that the velocity gradient pattern in RNG is same as in SKE, and also that the total pressure distribution in RNG is same as in RSM only at swirling flow area, same as in SKE only at main flow area.

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Numerical Study of Three-Dimensional Compressible Flow Structure Within an S-Duct for Aircraft Engine Inlet

  • Cho, Soo-Yong;Park, Byung-Kyu
    • International Journal of Aeronautical and Space Sciences
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    • v.1 no.1
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    • pp.36-47
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    • 2000
  • Three-dimensional compressible turbulent flow fields within the passage of a diffusing S-duct have been simulated by solving the Navier-Stokes equations with SIMPLE scheme. The average inlet Mach number is 0.6 and the Reynolds number based on the inlet diameter is $1.76{\times}10^6$ The extended $k-{\varepsilon}$ turbulence model is applied to modeling the Reynolds stresses. Computed results of the flow in a circular diffusing S-duct provide an understanding of the flow structure within a typical engine inlet system. These are compared with experimental wall static-pressure, total-pressure fields, and secondary velocity profiles. Additionally, boundary layer thickness, skin friction values, and streamlines in the symmetric plane are presented. The computed results depict the interaction between the low energy flow by the flow separation and the high energy flow by the reversed duct curvature. The computed results obtained using the extended $k-{\varepsilon}$ turbulence model.

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Electrical characteristics of PET film for wire insulation of transformer in fluorocarbon (Fluorocarbon에서의 변압기권선 절연용 PET필름의 전기적 특성연구)

  • 허창수;이재복
    • Electrical & Electronic Materials
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    • v.9 no.5
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    • pp.483-489
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    • 1996
  • Power transformer have many unsymmetrical structure and electric field is enhanced in that area. Those unsymmetrical area are not covered oftenly by solid insulating material which is used as a framework specially in gas transformer. By that result there is a possibility to decrease the total insulation class of the transformer. So in this study the electrical characteristic of $FC+SF_6$ mixture gas which is used as coolants for large power gas insulated transformer and its effects on electrical characteristics of structural material are investigated. Also breakdown characteristic with the tension of taping and curvature of the coil are studied which could be used as a design factor of large power transformer.

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Free vibrations of inclined arches using finite elements

  • Chucheepsakul, Somchai;Saetiew, Wasuroot
    • Structural Engineering and Mechanics
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    • v.13 no.6
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    • pp.713-730
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    • 2002
  • This paper presents a finite element approach for determining the natural frequencies for planar inclined arches of various shapes vibrating in three-dimensional space. The profile of inclined arches, represented by undeformed centriodal axis of cross-section, is defined by the equation of plane curves expressed in the rectangular coordinates which are : circular, parabolic, sine, elliptic, and catenary shapes. In free vibration state, the arch is slightly displaced from its undeformed position. The linear relationship between curvature-torsion and axial strain is expressed in terms of the displacements in three-dimensional space. The finite element discretization along the span length is used rather than the total are length. Numerical results for arches of various shapes are given and they are in good agreement with those reported in literature. The natural frequency parameters and mode shapes are reported as functions of two nondimensional parameters: the span to cord length ratio (e) and the rise to cord length ratio (f).

The depositing characteristics of amorphous carbon thin films by a reactive particle beam assisted sputtering process (Sputter 기반의 활성입자빔 증착장비를 이용한 a-C 박막 증착특성)

  • Lee, Tae-Hoon;Shin, You-Chul;Kwon, Kwang-Ho
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.123-123
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    • 2008
  • In this work, amorphous carbon thin films were deposited for hard mask applications by a reactive particle beam (RPB) assisted sputtering system at room temperature. The depositing characteristics of the films were investigated as functions of operating parameters such as reflector bias voltage and RF plasma power. It was confirmed that the deposition rate increased with increasing the reflector bias voltage and RF plasma power. By an atomic force microscope (AFM), it was revealed that the surface roughness was also increased. The total stress in films was determined by the use of the substrate curvature and its result will be discussed.

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Development of the Computer Program for Predicting the Aero-acoustic Performance in the Design Process of Axial Flow Fan (축류형 송풍기 설계 과정에서 공력-음향학적 성능 예측을 위한 전산 프로그램의 개발)

  • Chung, Dong-Kyu;Hong, Soon-Seong;Lee, Chan
    • 유체기계공업학회:학술대회논문집
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    • 2000.12a
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    • pp.91-98
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    • 2000
  • Developed is a computer program for the prediction of the aero-acoustic performance characteristics such as discharge pressure, efficiency, power and noise level in the basic design step of axial flow fan. The flow field and the aerodynamic performance of fan are analyzed by using the streamline curvature computing scheme with total pressure loss and flow deviation models. Fan noise is assumed to be generated due to the pressure fluctuations induced by wake vortices of fan blades and to radiate via dipole distribution. The vortex-induced fluctuating pressure on blade surface is calculated by combining thin airfoil theory and the predicted flow field data. The predicted aerodynamic performances, sound pressure level and noise directivity patterns of fan by the present computer program are favorably compared with the test data of actual fan. Furthermore, the present computer program is shown to be very useful in optimizing design variables of fan with high efficiency and low noise level and in analyzing their design sensitivities.

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