• Title/Summary/Keyword: Equivalent Radius

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A new refined hyperbolic shear deformation theory for laminated composite spherical shells

  • Kada, Draiche;Abdelouahed, Tounsi
    • Structural Engineering and Mechanics
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    • v.84 no.6
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    • pp.707-722
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    • 2022
  • In this study, a new refined hyperbolic shear deformation theory (RHSDT) is developed using an equivalent single-layer shell displacement model for the static bending and free vibration response of cross-ply laminated composite spherical shells. It is based on a new kinematic in which the transverse displacement is approximated as a sum of the bending and shear components, leading to a reduction of the number of unknown functions and governing equations. The proposed theory uses the hyperbolic shape function to account for an appropriate distribution of the transverse shear strains through the thickness and satisfies the boundary conditions on the shell surfaces without requiring any shear correction factors. The shell governing equations for this study are derived in terms of displacement from Hamilton's principle and solved via a Navier-type analytical procedure. The validity and high accuracy of the present theory are ascertained by comparing the obtained numerical results of displacements, stresses, and natural frequencies with their counterparts generated by some higher-order shear deformation theories. Further, a parametric study examines in detail the effect of both geometrical parameters (i.e., side-to-thickness ratio and curvature-radius-to-side ratio), on the bending and free vibration response of simply supported laminated spherical shells, which can be very useful for many modern engineering applications and their optimization design.

Quadrilateral RAC filled FRP tubes: Compressive behavior, design and finite element models

  • Ming-Xiang Xiong;Xuchi Chen;Fengming Ren
    • Steel and Composite Structures
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    • v.48 no.5
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    • pp.485-498
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    • 2023
  • The need for carbon neutrality in the world strives the construction industry to reduce the use of construction materials. Aiming to this, recycled aggregate concrete (RAC) could be used as it reduces the carbon dioxide emissions. Currently, RAC is mainly used in non-structural members of civil constructions, seldom used in structural members. To broaden its structural use, a new type of composite column, i.e., the square and rectangular RAC filled FRP tubes (CFFTs), has been concerned in this study. The investigation on their axial compressive behavior through physical test and numerical analysis demonstrated that the load-carrying capacity of such column is reduced with the increase of replacement ratio of recycled aggregate and aspect ratio of section but can be improved by the increase of FRP confining stiffness and corner radius, said capacity can be equivalent to their steel reinforced concrete counterparts. At failure, the hoop strain at corner of tube is unexpectedly smaller than that at flat side of the tube although the FRP tube ruptured at its corner first, revealing a premature failure. Besides, a design-oriented stress-strain model of concrete and an analysis-oriented finite element model are proposed to predict the load-strain response of square and rectangular CFFT columns, which facilitates the engineering use of RAC in load-carrying structural members.

Nonlinear dynamic response of axially moving GPLRMF plates with initial geometric imperfection in thermal environment under low-velocity impact

  • G.L. She;J.P. Song
    • Structural Engineering and Mechanics
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    • v.90 no.4
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    • pp.357-370
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    • 2024
  • Due to the fact that the mechanism of the effects of temperature and initial geometric imperfection on low-velocity impact problem of axially moving plates is not yet clear, the present paper is to fill the gap. In the present paper, the nonlinear dynamic behavior of axially moving imperfect graphene platelet reinforced metal foams (GPLRMF) plates subjected to lowvelocity impact in thermal environment is analyzed. The equivalent physical parameters of GPLRMF plates are estimated based on the Halpin-Tsai equation and the mixing rule. Combining Kirchhoff plate theory and the modified nonlinear Hertz contact theory, the nonlinear governing equations of GPLRMF plates are derived. Under the condition of simply supported boundary, the nonlinear control equation is discretized with the help of Gallekin method. The correctness of the proposed model is verified by comparison with the existing results. Finally, the time history curves of contact force and transverse center displacement are obtained by using the fourth order Runge-Kutta method. Through detailed parameter research, the effects of graphene platelet (GPL) distribution mode, foam distribution mode, GPL weight fraction, foam coefficient, axial moving speed, prestressing force, temperature changes, damping coefficient, initial geometric defect, radius and initial velocity of the impactor on the nonlinear impact problem are explored. The results indicate that temperature changes and initial geometric imperfections have significant impacts.

Study on the Correlation between Refractive error and Components of Eye's Optical system in Children and Teenagers in an Optometric Practice (안과 병원을 내원한 소아 청소년의 굴절이상과 안광학 성분간의 상관관계 연구)

  • Ha, Na-Ri;Kim, Hyun Jung
    • Journal of Korean Ophthalmic Optics Society
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    • v.17 no.1
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    • pp.67-74
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    • 2012
  • Purpose: The purpose of this study to evaluate visual acuity and refractive state and measure and analyze the components of eye's optical system in children and teenagers. Methods: With subjects of 124 (230 eyes) children and teenagers who had no eye diseases, correlation between the correlation between refractive errors and component's of eye's optical system was investigated. The spherical equivalent power of cycloplegic clinical refraction or manifest clinical refraction(SE), corneal power(CP), corneal radius(CR), axial length(AL), anterior chamber depth(ACD) and axial length to corneal radius (AL/CR) ratio were measured and analysed. Results: the SE was negatively correlated with the AL(r = -0.80, p = 0.00), the ACD(r = -0.35, p = 0.00) and the CR(r = -0.11, p=0.00) and positively correlated with the CP(r = +0.11, p=0.00). The AL was positively correlated with the AL/CR ratio (r = +0.84, p = 0.00), the ACD(r = +0.47, p=0.00) and the CR(r = +0.38, p = 0.00) and negatively correlated with the CP(r = -0.38, p=0.00). The CR was negatively correlated with CP(r = -1.00, p = 0.00), the AL/CR ratio(r = -0.19, p = 0.00) and the ACD(r = -0.06, p = 0.39). The CP was positively correlated with the AL/CR ratio(r = +0.19, p = 0.00) and the ACD(r = +0.06, p = 0.39). The ACD was positively correlated with the AL/CR ratio(r = 0.53, p = 0.00). Conclusions: the highest change of refractive errors was shown that the AL/CR ratio was a very important indicator for diagnosing the refractive errors of the children and teenagers.

Study on Evaluation of Effective Thermal Conductivity of Unsaturated Soil Using Average Capillary Pressure and Network Model (평균 모세관압과 네트워크 모델을 이용한 불포화토의 유효 열전도도 산정에 관한 연구)

  • Han, Eunseon;Lee, Chulho;Choi, Hyun-Jun;Choi, Hangseok
    • Journal of the Korean Geotechnical Society
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    • v.29 no.1
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    • pp.93-107
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    • 2013
  • Thermal conduction of the particulate composites or granular materials can be widely used in porous materials and geotechnical engineering. And it has continued to develop "effective thermal conductivity" of medium by modeling energy relationship among particles in medium. This study focuses on the development of the effective thermal conductivity at the unsaturated conditions of soils using the modified network model approach assisted by synthetic 3D random packed systems (DEM method, Discrete Element Method) at the particle scale. To verify the network model, three kinds of glass beads and the Jumunjin sand are used to obtain experimental values at various unsaturated conditions. The PPE (Pressure Plate Extractor) test is then performed to obtain SWCC (Soil-Water Characteristic Curve) of soil samples. In the modified network model, SWCC is used to adjust the equivalent radius of thermal cylinder at contact area between particles. And cutoff range parameter to define the effective zone is also adjusted according to the SWCC at given conditions. From a series of laboratory tests and the proposed network model, the modified network model which adopts a SWCC shows a good agreement in modeling thermal conductivity of granular soils at given conditions. And an empirical correlation between the fraction of the mean radius (${\chi}$) and thermal conductivity at given saturated condition is provided, which can be used to expect thermal conductivity of the granular soils, to estimate thermal conductivity of granular soils.

Theoretical and experimental studies on influence of electrode variations in electrical resistivity survey for tunnel ahead prediction (터널 굴착면 전방조사를 위한 전기비저항 탐사에서 전극의 변화가 미치는 영향에 대한 이론 및 실험연구)

  • Hong, Chang-Ho;Chong, Song-Hun;Hong, Eun-Soo;Cho, Gye-Chun;Kwon, Tae-Hyuk
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.21 no.2
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    • pp.267-278
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    • 2019
  • Variety of tunnel ahead prediction methods have been performed for safe tunnel construction during tunnel excavation. Pole-pole array among the electrical resistivity survey, which is one of the tunnel ahead prediction method, has been utilized to predict water-bearing sediments or weak zone located within 5 times of tunnel diameter. One of the most important processes is the estimation of virgin ground resistivity and it can be obtained from the following process: 1) calculation of contact area between the electrodes and the medium, and 2) assumption of the electrodes as equivalent spherical electrodes which have a same surface area with the electrodes. This assumption is valid in a small contact area and sufficient distance between the electrodes. Since the measured resistance, in general, varies with the electrode size, shape, and distance between the electrodes, it is necessary to evaluate the influence of these factors. In this study, theoretical equations were derived and experimental tests were conducted considering the electrode size, shape, and distance of cylindrical electrodes which is the most commonly utilized electrode shape. Through this theoretical and experimental study, it is known that one should be careful to use the assumption of the equivalent half-spherical electrode with large ratio between the penetrated depth and radius of the cylindrical electrode, as the error may get larger.

Scalable Inductor Modeling for $0.13{\mu}m$ RF CMOS Technology ($0.13{\mu}m$ RF CMOS 공정용 스케일러블 인덕터 모델링)

  • Kim, Seong-Kyun;Ahn, Sung-Joon;Kim, Byung-Sung
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.46 no.1
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    • pp.94-101
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    • 2009
  • This paper presents scalable modeling of spiral inductors for RFIC design based on $0.13{\mu}m$ RF CMOS process. For scalable modeling, several inductor patterns are designed and fabricated with variations of width, number of turns and inner radius. Feeding structures are optimized for accurate de-embedding of pad effects. After measuring the S parameters of the fabricated patterns, double-$\pi$ equivalent circuit parameters are extracted for each device and their geometrical dependences are modeled as scalable functions. The inductor library provides two types of models including standard and symmetric inductors. Standard and symmetric inductors have the range of $0.12{\sim}10.7nH$ and $0.08{\sim}13.6nH$ respectively. The models are valid up to 30GHz or self-resonance frequency. Through this research, a scalable inductor library with an error rate below 10% is developed for $0.13{\mu}m$ RF CMOS process.

Quantification of Heterogenous Background Fractures in Bedrocks of Gyeongju LILW Disposal Site (경주 방폐장의 불균질 배경 단열의 정량화)

  • Cho, Hyunjin;Cheong, Jae-Yeol;Lim, Doo-hyun;Hamm, Se-Yeong
    • The Journal of Engineering Geology
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    • v.27 no.4
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    • pp.463-474
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    • 2017
  • Heterogeneous background fractures of granite and sedimentary rocks in Gyeongju LILW (low-intermediate level radioactive waste) facility area have been characterized quantitatively by analyzing fracture parameters (orientation, intensity, and size). Surface geological survey, electrical resistivity survey, and acoustic televiewer log data were used to characterize the heterogeneity of background fractures. Bootstrap method was applied to represent spatial anisotropy of variably oriented background fractures in the study area. As a result, the fracture intensity was correlated to the inverse distance from the faults weighted by nearest fault size and the mean value of electrical resistivity and the average volumetric fracture intensity ($P_{32}$) was estimated as $3.1m^2/m^3$. Size (or equivalent radius) of the background fractures ranged from 1.5 m to 86 m and followed to power-law distribution based on the fractal property of fracture size, using fractures measured on underground silos and identified surface faults.

A Study on the Heat Transfer Characteristics of Single Bead Deposition of Inconel 718 Superalloy on S45C Structural Steel Using a DMT Process (DMT 공정을 이용한 S45C 구조용강 위 Inconel 718 초합금 단일 비드 적층시 열전달 특성 분석에 관한 연구)

  • Lee, Kwang-Kyu;Ahn, Dong-Gyu;Kim, Woo-Sung;Lee, Ho-Jin
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.19 no.8
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    • pp.56-63
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    • 2020
  • The heat transfer phenomenon in the vicinity of the irradiated region of a focused laser beam of a DMT process greatly affects both the deposition characteristics of powders on a substrate and the properties of the deposited region. The goal of this paper is to investigate the heat transfer characteristics of a single bead deposition of Inconel 718 powders on S45C structural steel using a laser-aided direct metal tooling (DMT) process. The finite element analysis (FEA) model with a Gaussian volumetric heat flux is developed to simulate a three-dimensional transient heat transfer phenomenon. The cross-section of the bead for the FEA is estimated with an equivalent area method using experimental results. Through the comparison of the results of the experiments and those of the analysis, the effective beam radius of the bottom region of the volumetric heat flux and the efficiency of the heat flux model for different powers and travel speeds of the laser are predicted. From the results of the FEA, the influence of the power and the travel speed of the laser on the creation of a steady-state heat transfer region and the formation of the heat-affected zone (HAZ) in the substrate are investigated.

A study on the device structure optimization of nano-scale MuGFETs (나노 스케일 MuGFET의 소자 구조 최적화에 관한 연구)

  • Lee Chi-Woo;Yun Serena;Yu Chong-Gun;Park Jong-Tae
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.43 no.4 s.346
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    • pp.23-30
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    • 2006
  • This paper describes the short-channel effect(SCE), corner effect of nano-scale MuGFETs(Multiple-Gate FETs) by three-dimensional simulation. We can extract the equivalent gate number of MuGFETs(Double-gate=2, Tri-gate=3, Pi-gate=3.14, Omega-gate=3.4, GAA=4) by threshold voltage model. Using the extracted gate number(n) we can calculate the natural length for each gate devices. We established a scaling theory for MuGFETs, which gives a optimization to avoid short channel effects for the device structure(silicon thickness, gate oxide thickness). It is observed that the comer effects decrease with the reduction of doping concentration and gate oxide thickness when the radius of curvature is larger than 17 % of the channel width.