• Title/Summary/Keyword: Linear Curvature

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THE CORRELATION OF PRESSURE DROP FOR SURFACE ROUGHNESS AND CURVATURE RADIUS IN A U-TUBE (표면 조도와 곡률 반경에 대한 U-자관 압력 손실의 상관관계)

  • Park, J.H.;Chang, S.M.;Lee, S.Y.;Jang, G.W.
    • Journal of computational fluids engineering
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    • v.20 no.1
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    • pp.39-46
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    • 2015
  • In this research, we studied the pressure drop affecting on the internal surface roughness and the curvature radius of a U-tube, which is used for the cooling system in PWR(Pressurized Water Reactor). Using ANSYS-FLUENT, a commercial code based on CFD(Computational Fluid Dynamics) technique, we compared a Moody chart with the Darcy friction factor changed by a range of various surface roughness and Reynolds numbers of a straight pipe model. We studied the effect giving variation about a range of various surface roughness and the curvature radius of the full scale U-tube model. The material of the heat transfer tube is Inconel 690 used in the steam generator. We compared the velocity distribution of selected 4 locations, and derived the correlation between the surface roughness and the pressure drop for the U-tube of each representative curvature radius using the linear regression method.

A Geometric Proof on Shortest Paths of Bounded Curvature (제한된 곡률을 갖는 최단경로에 대한 기하학적 증명)

  • Ahn, Hee-Kap;Bae, Sang-Won;Cheong, Otfried
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.4
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    • pp.132-137
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    • 2007
  • A point-wise car-like robot moving in the plane changes its direction with a constraint on turning curvature. In this paper, we consider the problem of computing a shortest path of bounded curvature between a prescribed initial configuration (position and orientation) and a polygonal goal, and propose a new geometric proof showing that the shortest path is either of type CC or CS (or their substring), where C specifies a non-degenerate circular arc and S specifies a non-degenerate straight line segment. Based on the geometric property of the shortest path, the shortest path from a configuration to a polygonal goal can be computed in linear time.

The Correlation among Cervical Curvature, Neck Pain and Headache in Patients with Chronic Neck Pain (만성 경항통을 호소하는 여성 환자에서 경추 만곡과 두통의 상관성에 대한 임상 연구)

  • Song, Eun-Mo;Kim, Eun-Joo;Cho, Yoo-Jeong;Cho, Jae-Heung;Chung, Seok-Hee;Song, Mi-Yeon
    • Journal of Korean Medicine Rehabilitation
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    • v.21 no.4
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    • pp.97-109
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    • 2011
  • Objectives: To investigate the correlation among cervical curvature, neck pain, and headache in patients with chronic neck pain. Methods: A clinical study was carried out in 48 chronic neck pain patients in the hospital of Gang-Dong Kyung-Hee University. The curvature of the cervical spine was measured by 3 types of measuring methods, Neck pain and headache were estimated using questionnaire and visual analogue scale (VAS). Results: Curvature angles of the cervical spine had significant positive correlation with the neck pain and headache, and headache can be estimated by cervical curvature using linear regression. Conclusions: The results suggests that the cervical curvature of chronic neck pain patients has a positive correlation with the nock pain and headache, and cervical curvature will be a posible preditor of chronic tension-type headache in patients with chronic neck pain.

Dynamic Modeling Method for Beams Undergoing Overall Rigid Body Motion Considering Two Geometric Non-linear Effects (두 기하학적 비선형 효과들을 고려한 대변위 강체운동을 하는 보의 동적 모델링 방법)

  • Kim, Na-Eun;Yoo, Hong-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.6
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    • pp.1014-1019
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    • 2003
  • A dynamic modeling method for beams undergoing overall rigid body motion is presented in this paper. Two special deformation variables are introduced to represent the stretching and the curvature and are approximated by the assumed mode method. Geometric constraint equations that relate the two special deformation variables and the cartesian deformation variables are incorporated into the modeling method. By using the special deformation variables, all natural as well as geometric boundary conditions can be satisfied. It is shown that the geometric nonlinear effects of stretching and curvature play important roles to accurately predict the dynamic response when overall rigid body motion is involved.

PM Interaction Diagram of RC Columns considering Confinement Effect of Transverse Steels (횡방향철근 구속효과를 고려한 철근콘크리트 기둥의 축력-모멘트 상관도)

  • Son, Hyeok-Soo;Yang, Byung-Hong;Yoon, Cheol-Kyun;Lee, Jae-Hoon
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2005.03a
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    • pp.324-330
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    • 2005
  • The flexural strength and ductility capacity of reinforced concrete columns are largely dependent on the amount of transverse steel. However, current design code does not specify the confinement effect of transverse steels in strength calculation. A non-linear moment-curvature analysis of RC column sections was conducted in order to develop PM interaction diagram considering transverse reinforcement effects. In this paper, a more reasonable application method of PM interaction diagram considering transverse steel amounts is introduced and proposed, based on moment-curvature non-linear analysis. Also, we proposed simplified method to use. easily in practical design.

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A parametric study on seismic fragility analysis of RC buildings

  • Nagashree, B.K.;Ravi, Kumar C.M.;Venkat, Reddy D.
    • Earthquakes and Structures
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    • v.10 no.3
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    • pp.629-643
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    • 2016
  • Among all the natural disasters, earthquakes are the most destructive calamities since they cause a plenty of injuries and economic losses leaving behind a series of signs of panic. The present study highlights the moment-curvature relationships for the structural elements such as beam and column elements and Non-Linear Static Pushover Analysis of RC frame structures since it is a very simplified procedure of non-linear static analysis. The highly popular model namely Mander's model and Kent and Park model are considered and then, seismic risk evaluation of RC building has been conducted using SAP 2000 version 17 treating uncertainty in strength as a parameter. From the obtained capacity and demand curves, the performance level of the structure has been defined. The seismic fragility curves were developed for the variations in the material strength and damage state threshold are calculated. Also the comparison of experimental and analytical results has been conducted.

Curvature Linear Equation of a Two-Mirror System with a Finite Object Distance (유한 물체 거리를 갖는 2 반사경계의 곡률 선형 방정식)

  • Lee, Jung-Gee;Rim, Cheon-Seog
    • Korean Journal of Optics and Photonics
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    • v.16 no.5
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    • pp.423-427
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    • 2005
  • In this paper, we propose easily tooling method for Seidel third order aberration, which are not well utilized in actual design process due to the complication of mathematical operation and the difficulty of understanding Seidel third order aberration theory, even though most insightful and systematic means in pre-designing for the initial data of optimization. First, using paraxial ray tracing and Seidel third order aberration theory, spherical aberration coefficient is derived for a two-mirror system with a finite object distance. The coefficient, which is expressed as a higher-order nonlinear equation, consists of design parameters(object distance, two curvatures, and inter-mirror distance) and effective focal length(EFL). Then, the expressed analytical equation is solved by using a computer with numerical analysis method. From the obtained numerical solutions satisfying the nearly zero coefficient condition($<10^{-6}$), linear fitting process offers a linear relationship called the curvature linear equation between two mirrors. Consequently, this linear equation has two worthy meanings: the equation gives a possibility to obtain initial design data for optimization easily. And the equation shows linear relationship to a two-mirror system with a finite object distance under the condition of corrected third order spherical aberration.

CERES Plot in Generalized Linear Models

  • Kahng, Myung-Wook;Lee, Eun Jeong
    • Communications for Statistical Applications and Methods
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    • v.11 no.3
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    • pp.575-582
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    • 2004
  • We explore the structure and usefulness of CERES plot as a basic tool for dealing with curvature as a function of the new predictor in generalized linear models. If a predictor has a nonlinear effect and there are nonlinear relationships among the predictors, the partial residual plot and augmented partial residual plot are not able to display the correct functional form of the predictor. Unlike these plots, the CERES plot can show the correct form. This is illustrated by simulated data.

A SHARP INTEGRAL INEQUALITY FOR COMPACT LINEAR WEINGARTEN HYPERSURFACES

  • de Lima, Henrique F.;dos Santos, Fabio R.;Rocha, Lucas S.
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.789-799
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    • 2022
  • We establish a sharp integral inequality related to compact (without boundary) linear Weingarten hypersurfaces (immersed) in a locally symmetric Einstein manifold and we apply it to characterize totally umbilical hypersurfaces and isoparametric hypersurfaces with two distinct principal curvatures, one which is simple, in such an ambient space. Our approach is based on the ideas and techniques introduced by Alías and Meléndez in [4] for the case of hypersurfaces with constant scalar curvature in an Euclidean round sphere.