• Title/Summary/Keyword: Horizontal curvature

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A simple finite element formulation for large deflection analysis of nonprismatic slender beams

  • AL-Sadder, Samir Z.;Othman, Ra'ad A.;Shatnawi, Anis S.
    • Structural Engineering and Mechanics
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    • v.24 no.6
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    • pp.647-664
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    • 2006
  • In this study, an improved finite element formulation with a scheme of solution for the large deflection analysis of inextensible prismatic and nonprismatic slender beams is developed. For this purpose, a three-noded Lagrangian beam-element with two dependent degrees of freedom per node (i.e., the vertical displacement, y, and the actual slope, $dy/ds=sin{\theta}$, where s is the curved coordinate along the deflected beam) is used to derive the element stiffness matrix. The element stiffness matrix in the global xy-coordinate system is achieved by means of coordinate transformation of a highly nonlinear ($6{\times}6$) element matrix in the local sy-coordinate. Because of bending with large curvature, highly nonlinear expressions are developed within the global stiffness matrix. To achieve the solution after specifying the proper loading and boundary conditions, an iterative quasi-linearization technique with successive corrections are employed considering these nonlinear expressions to remain constant during all iterations of the solution. In order to verify the validity and the accuracy of this study, the vertical and the horizontal displacements of prismatic and nonprismatic beams subjected to various cases of loading and boundary conditions are evaluated and compared with analytic solutions and numerical results by available references and the results by ADINA, and excellent agreements were achieved. The main advantage of the present technique is that the solution is directly obtained, i.e., non-incremental approach, using few iterations (3 to 6 iterations) and without the need to split the stiffness matrix into elastic and geometric matrices.

Vector mechanics-based simulation of large deformation behavior in RC shear walls using planar four-node elements

  • Zhang, Hongmei;Shan, Yufei;Duan, Yuanfeng;Yun, Chung Bang;Liu, Song
    • Structural Engineering and Mechanics
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    • v.74 no.1
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    • pp.1-18
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    • 2020
  • For the large deformation of shear walls under vertical and horizontal loads, there are difficulties in obtaining accurate simulation results using the response analysis method, even with fine mesh elements. Furthermore, concrete material nonlinearity, stiffness degradation, concrete cracking and crushing, and steel bar damage may occur during the large deformation of reinforced concrete (RC) shear walls. Matrix operations that are involved in nonlinear analysis using the traditional finite-element method (FEM) may also result in flaws, and may thus lead to serious errors. To solve these problems, a planar four-node element was developed based on vector mechanics. Owing to particle-based formulation along the path element, the method does not require repeated constructions of a global stiffness matrix for the nonlinear behavior of the structure. The nonlinear concrete constitutive model and bilinear steel material model are integrated with the developed element, to ensure that large deformation and damage behavior can be addressed. For verification, simulation analyses were performed to obtain experimental results on an RC shear wall subjected to a monotonically increasing lateral load with a constant vertical load. To appropriately evaluate the parameters, investigations were conducted on the loading speed, meshing dimension, and the damping factor, because vector mechanics is based on the equation of motion. The static problem was then verified to obtain a stable solution by employing a balanced equation of motion. Using the parameters obtained, the simulated pushover response, including the bearing capacity, deformation ability, curvature development, and energy dissipation, were found to be in accordance with the experimental observation. This study demonstrated the potential of the developed planar element for simulating the entire process of large deformation and damage behavior in RC shear walls.

A Study on the Somatotype of the Upper Body for the Women's Bodice Pattern (길 원형을 위한 상반신의 체형 연구 - 한국 성인 여성을 대상으로 -)

  • Lee Soon Won;Nam Yun Ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.15 no.4 s.40
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    • pp.341-349
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    • 1991
  • This study was done to provide basic data for clothing design and thus to contribute to the academic development of the clothing and textile area. The focus of this study was to charac­terize the somatotype based on each individual's lateral view. For this purpose, firstly, categorization of the subjects based on their lateral view and definition of each category, secondly, characterization of each somatotype, and thirdly, sugges­tion of the deterministic criteria of each category were complished. The subjects in this study were female college students of 18 to 26 year-old whose somatotypes were comparatively invariable after cessation of physical growth. The metrical items characterizing upper body lateral view were chosen. Data were collected through Anthropometry and Photometry and analyzed by Factor analysis. The results were as follows; 1. Each subject's side view contour was classified as straight type, lean-back type, bend­forward type, and swayback according to its position to the relative plumb line. Straight type was defined as the type in which the plumb line passes through the lobe of the ear, the shoulder joint, and the mid abdominal region laterally. Lean-back type positioned the plumb line more posteriorly than straight type. Bend-forward type positioned the plumb line more anteriorly than straight type. Swayback positioned the plumb line at about the same line as straight type. And curvature of side view contur was more prominent in this type than in straight type. 2. Seven factors were figured out. The first factor was representing upperbody volume, and the second factor was representing size, the third factor was horizontal distance from lateral view representing size view contour. The fourth factor was front body length, the fifth factor was back body length. The sixth factor was shoulder length and shoulder width representing shoulder shape. The seventh factor was the bust shape.

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Interaction of Flexure-Torsional by eccentric load in horizontal curved 'I' shape girder (편심하중이 작용하는 수평 곡선 I 형 거더의 휨·비틀림 상호작용)

  • Lim, Jeong-Hyeon;Lee, Kee-Sei;Kim, Hee-Soo;Choi, Jun-Ho;Kang, Young-Joung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.9
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    • pp.6385-6390
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    • 2015
  • With bending moment, torsional moment due to geometric properties as "Initial curvature" acts in horizontally curved I-girder. These behavior causes the secondary effect of bending in minor-axis because of interaction between bending and torsion. The bending and torsion interaction cause a loss of load bearing capacity by induced the early inelastic or plasticity condition in curved girder. Also eccentric load by movements of traffic can increase torsion. However, Equation of interaction between bending and torsion for straight girder, not deal with characteristics of curved girder behavior in previous studies, can be overestimated for ultimate strength in horizontally curved I-girder acting vertical force. Therefore, using more rational, obvious suggestion is required when design curved girder. In this study, we identified the bending-torsional moment interaction for the horizontally curved I-girder of the eccentric load acting by FEM analysis.

Roundabout Design and Intervehicle Distance Measure for V2X-based Autonomous Driving (V2X 기반 자율운전을 위한 회전교차로 설계 및 차간 거리 측정)

  • Hwang, Jae-Jeong;Oh, Seok-Hyung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.22 no.6
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    • pp.83-89
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    • 2021
  • To improve the performance of self-driving cars, the introduction of V2X, a communication technology that connects vehicles, infrastructure, and vehicles, is essential. Even if traffic information of the other vehicle is known, the structure of the intersection and a distance calculation algorithm are required for accurate calculations at roundabouts. This paper proposes a design algorithm for a rotating intersection and implemented in Matlab that complies with the national design rules and enables accurate calculations. Assuming the roundabout and the entrance/exit path to be a circle, a method for measuring the distance between vehicles at an arbitrary point was proposed using the horizontal shift of the entrance circle to the main circle. The algorithm could be used in fully autonomous vehicles by designing a roundabout suitable for the terrain by arbitrarily varying the angle between branches and the radius of curvature of the entrance and exit roads, and transmitting a warning signal when a collision between two driving vehicles is expected.

A Study on the labial & buccal surface contour in Korean permanent teeth using three-dimensional laser scanning (3차원 레이저 스캐너를 이용한 한국인 영구치의 순, 협측 치관 굴곡도에 관한 연구)

  • Ko, Sang-Duck;Cha, Kyung-Suk
    • The korean journal of orthodontics
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    • v.32 no.4 s.93
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    • pp.275-291
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    • 2002
  • Of various factors indicated for effective use of straight wire appliances, there was a great lack of studies both domestic and international about the curvatures of tooth crowns. This study was performed to investigate the labio/buccal clinical crown curvatures of Korean permanent teeth. For this study, three-dimensional laser scanning was performed on 36 dental casts with normal anatomic structures. Andrews plane and Facial axis of clinical crown (FACC) were designated as horizontal and vertical reference planes respectively. 2 or 3 lines, 1mm apart, were drawn superior, inferior, left and right of these reference planes. A three-dimensional coordinate table was made for points formed by crossing these lines, and averages of each coordinate point on the 36 dental casts were obtained. The curvature equation was made using three-dimensional coordinate points (x,y,z) and by this curvature equation, the curve ratio of each tooth was obtained. Curve ratio changes of each section of teeth were calculated by curve ratios of simplified curves. These two dimensional curves were simplified horizontally and vertically Conclusions for this study are as follows. 1. The basic data of labial and buccal clinical crown curvatures were obtained about Korean permanent teeth. 2. No significant difference was found between male and females. 3. Individual tooth characteristics 1) In maxillary central incisors, the difference in the curve ratio between the gingival and incisal sides was greater than for the other teeth. And the gingival side showed a greater curve ratio. 2) Maxillary canines showed more curvatures in the mesio-occlusal surface than the other surfaces. 3) In maxillary $1^{st}$ premolars, more curvatures were found in mesio-occlusal and disto-gingival surface, thus showing a twisted crown surface, but in maxillary $2^{nd}$ premolars, the crown curvatures of mesial and distal ends became parallel to each other. 4) No significant difference in crown curvatures was found between mandibular central and lateral incisors. 5) Occluso-gingival curvatures of mandibular$2^{nd}$ premolar turned out to be more rounded than mandibular $1^{st}$ premolars or maxillary $2^{nd}$ premolars. From the above conclusions, it can be deduced that the same bracket bases can be used for mandibular central and lateral incisors. But for maxillary $1^{st}\;and\;2^{nd}$ premolars and for mandibular $1^{st}\;and\;2^{nd}$ premolars, because crown curvatures showed significant differences, when making bracket bases there is ample reason to make bracket base curves differently for each type of tooth.

Comparison of Anterior Segment Features between Groups with or without Glaucoma in Pseudoexfoliation Syndrome (거짓비늘증후군에서 개방각녹내장 병합 유무에 따른 전안부 소견과 생체 계측치에 대한 비교)

  • Gu, Bon Hyeok;Choi, Sangkyung
    • Journal of The Korean Ophthalmological Society
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    • v.59 no.11
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    • pp.1049-1055
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    • 2018
  • Purpose: To investigate the factors associated with glaucoma in patients with pseudoexfoliation syndrome by comparing features of the anterior segments and ocular biometry according to the presence or absence of open-angle glaucoma in pseudoexfoliation syndrome. Methods: We analyzed 96 patients (115 eyes) diagnosed as having pseudoexfoliation syndrome in this study. The patients were divided into two groups of simple pseudoexfoliation syndrome (64 patients, 76 eyes) and pseudoexfoliation glaucoma (32 patients, 39 eyes). We compared the age, sex, underlying disease, location of pseudoexfoliative material, iris change, degree of nuclear cataract, pupil dilatation, corneal endothelial cell counts, central corneal thickness, anterior chamber depth, axial length, corneal curvature, and intraocular pressure (IOP). Results: There were no significant differences between the two groups in terms of age (p = 0.694), sex (p = 0.161), diabetes (p = 0.440), hypertension (p = 0.238), pseudoexfoliative material observed in anterior capsule (p = 0.700), pupillary margin (p = 0.210), iris depigmentation (p = 0.526), pupillary ruff loss (p = 0.708), degree of nuclear cataract (p = 0.617), pupil dilatation (p = 0.526), central corneal thickness (p = 0.097), anterior chamber depth (p = 0.283), axial length (p = 0.095), or horizontal and vertical corneal curvature (p = 0.066 and 0.306, respectively). In pseudoexfoliation glaucoma, significantly higher IOP (p = 0.026), a high frequency of membrane formation (p = 0.047), and decreased corneal endothelial cell counts (p = 0.048) were observed. Conclusions: Pseudoexfoliation syndrome with open-angle glaucoma was shown to be associated with high IOP, decreased corneal endothelial cell counts, and a high frequency of membrane formation. Therefore, when such changes are observed in pseudoexfoliation syndrome patients, a higher risk of open-angle glaucoma should be recognized, and careful attentionis required accordingly.

A Study on Evaluation of Consistency Using 3-Dimensional Sight Distance (3차원시거를 이용한 도로일관성 평가에 관한 연구)

  • Park, Je-Jin;Oh, Young-Wook;Kang, Jeong-Gyu;Ha, Tae-Jun
    • Journal of Korean Society of Transportation
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    • v.26 no.3
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    • pp.187-197
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    • 2008
  • While driving a highway, A driver gets lots of information through geometrical structure, traffic situation, signs on the road. He gets most of the information by visual sense. Acceleration or deceleration and driving direction depend on sight distance. Therefore, it's essential to secure a driver's sight distance for a safe drive. However, design guides of geometrical structure and sight distance suggest respective standards of horizontal and vertical alignment. They do not indicate quantitative standard of combined alignment. Currently, element separated on a two-dimensional projected plane are available, but they do not guarantee safe and pleasant design. I will use the existent model analysing three-dimensional sight distance through mathematical calculation and sort a variety of geometrical structure element and type. In these researches, we will look at how much three-dimensional sight distance is overestimated or underestimated compared to two-dimensional. I will develop a program which predicts traffic velocity on the curvature of two-lane provincial road. stopped sight distance and three-dimensional sight distance will be compared at a predicted drive velocity. I will suggest the way to evaluate road consistency.

Analysis on Improving Power of Thermal Radiation Shield in Low Pressure Chamber of AMTEC (AMTEC내 저압용기에서의 열복사차단막 형상에 따른 발전량 향상 해석)

  • Chung, Won-Sik;Chi, Ri-Guang;Lee, Wook-Hyun;Lee, Kye-Bock;Rhi, Seok-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.7
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    • pp.54-62
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    • 2016
  • The most efficient system for converting heat to electricity, AMTEC (Alkali Metal Thermal-to-Electric Convertor), is a device that directly converts heat energy to electricity using an alkali metal (sodium) as the working fluid. The AMTEC consists of a low pressure chamber, high pressure chamber, BASE (Beta-Alumina Solid Electrolyte), and artery wick. The main heat loss of the AMTEC system occurs in the low pressure chamber. A high power generation rate is thought to be obtainable by using a high temperature in the BASE. Therefore, to reduce the radiation heat loss, 6 types of radiation shields were examined to reduce the radiative heat loss in the low pressure chamber. The power generation rate of the AMTEC varied depending on the shape of the radiation shield. CFD (Computational Fluid Dynamics) analyses were carried out to optimize the shape of the radiation shield. As a result, the optimum radiation shield was found to consist of a curvature formed at the vertical point, in which case the dimensionless temperature (condenser temperature/BASE temperature) is approximately 0.665 and the maximum power generated is calculated to be 17.69W. Increasing the distance beween the BASE and condenser leads to an increase in the power generated, and the power generated with the longest distance was 17.58 W. The shields with multiple holes and multiple horizontal layers showed power reduction rates of 0.91 W and 2.06 W, respectively.

Mechanical Analysis of the Force on Landing 3 Type Curves(Ellipse, Circle, Brachistochrone) of Halfpipe (스노우보드 하프파이프 점프시 착지 충격에 관한 3가지 곡선(타원, 원, 브라키스토크론)의 역학적 해석)

  • Lee, Un-Hak;Kim, Kew-Wan;Park, In-Ho
    • Korean Journal of Applied Biomechanics
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    • v.18 no.4
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    • pp.1-19
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    • 2008
  • This research is to analyze the force on landing 3 Type of Halfpipe Curves(Ellipse, Circle, Brachistochrone) based on the mechanical calculation of normal force on a sloping surface. Jumping off a platform on a bard horizontal surface, the flexing of the legs, the softness of the snow, the angle of the landing surface, initial velocity and the forward motion of the snowboarder can contribute to reducing the force on landing. But halfpipe is significantly determined by the curvature of surface. It is definitely verified that the Brachistochrone curve is more safety than others. However currently using the Ellipse curve is mostly safe too. If we consider the efficiency of construction, we can easily think there is no use of another curves except normal ellipse curved halfpipe. It would better that geometrically verity curved halfpipe should be designed for improving fluent skills to snowboarders. This methode of research can be a model of scientifical research on sports safety how can sportsman reduce critical injury by designing optimal halfpipe facilities and manual.