• 제목/요약/키워드: bar diameter

검색결과 390건 처리시간 0.031초

거리공간속 경로 그래프에 간선추가를 통한 지름의 최소화 (Minimizing the Diameter by Augmenting an Edge to a Path in a Metric Space)

  • 김재훈
    • 한국정보통신학회논문지
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    • 제26권1호
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    • pp.128-133
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    • 2022
  • 본 논문은 거리 공간(metric space) 속에 포함된 그래프에서 각 간선의 가중치가 거리 공간 상의 두 끝 정점간의 거리로 주어지는 그래프를 다룬다. 특별히 우리는 이러한 그래프 중 n개 정점을 가진 경로 P에 관해서 연구한다. 우리는 경로 P에 하나의 간선을 추가해서 새로운 그래프 $\bar{P}$ 얻을 수 있다. 그러면 그래프 $\bar{P}$의 두 정점 사이의 최단 경로의 길이를 생각하고 이 길이들 중 최댓값에 주목한다. 이 최댓값을 그래프 $\bar{P}$의 지름(diameter)라고 부른다. 우리는 그래프 $\bar{P}$의 지름이 최소가 되도록 추가하는 간선을 찾고 싶다. 특별히 임의의 실수 λ > 0에 대해서, $\bar{P}$의 지름이 λ 이하가 되는 추가 간선이 존재하는지 여부를 결정하는 문제에 대해 O(n)시간 알고리즘을 제안한다. 이것은 이전 알려진 시간복잡도 O(nlogn)을 개선한다. 이 결정 알고리즘을 이용해서 주어진 경로 P의 길이 D에 대해서, $\bar{P}$의 지름의 최솟값을 찾는 O(nlogD) 시간 알고리즘을 제안한다

Study of dynamic mechanical behavior of aluminum 7075-T6 with respect to diameters and L/D ratios using Split Hopkinson Pressure Bar (SHPB)

  • Kim, Eunhye;Changani, Hossein
    • Structural Engineering and Mechanics
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    • 제55권4호
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    • pp.857-869
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    • 2015
  • The aluminum 7075-T6 is known as an alloy widely used in aircraft structural applications, which does not exhibit strain rate sensitivity during dynamic compressive tests. Despite mechanical importance of the material, there is not enough attention to determine appropriate sample dimensions such as a sample diameter relative to the device bar diameter and sample length to diameter (L/D) ratio for dynamic tests and how these two parameters can change mechanical behaviors of the sample under dynamic loading condition. In this study, various samples which have different diameters of 31.8, 25.4, 15.9, and 9.5 mm and sample L/D ratios of 2.0, 1.5, 1.0, 0.5, and 0.25 were tested using Split Hopkinson Pressure Bar (SHPB), as this testing device is proper to characterize mechanical behaviors of solid materials at high strain rates. The mechanical behavior of this alloy was examined under ${\sim}200-5,500s^{-1}$ dynamic strain rate. Aluminum samples of 2.0, 1.5 and 1.0 of L/D ratios were well fitted into the stress-strain curve, Madison and Green's diagram, regardless of the sample diameters. Also, the 0.5 and 0.25 L/D ratio samples having the diameter of 31.8 and 25.4 mm followed the stress-strain curve. As results, larger samples (31.8 and 25.4 mm) in diameters followed the stress-strain curve regardless of the L/D ratios, whereas the 0.5 and 0.25 L/D ratios of small diameter sample (15.9 and 9.5 mm) did not follow the stress-strain diagram but significantly deviate from the diagram. Our results indicate that the L/D ratio is important determinant in stress-strain responses under the SHPB test when the sample diameter is small relative to the test bar diameter (31.8 mm), but when sample diameter is close to the bar diameter, L/D ratio does not significantly affect the stress-strain responses. This suggests that the areal mismatch (non-contact area of the testing bar) between the sample and the bar can misrepresent mechanical behaviors of the aluminum 7075-T6 at the dynamic loading condition.

New emerging surface treatment of GFRP Hybrid bar for stronger durability of concrete structures

  • Park, Cheolwoo;Park, Younghwan;Kim, Seungwon;Ju, Minkwan
    • Smart Structures and Systems
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    • 제17권4호
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    • pp.593-610
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    • 2016
  • In this study, an innovative and smart glass fiber-reinforced polymer (GFRP) hybrid bar was developed for stronger durability of concrete structures. As comparing with the conventional GFRP bar, the smart GFRP Hybrid bar can promise to enhance the modulus of elasticity so that it makes the cracking reduced than the case when the conventional GFRP bar is used. Besides, the GFRP Hybrid bar can effectively resist the corrosion of conventional steel bar by the GFRP outer surface on the steel bar. In order to verify the bond performance of the GFRP hybrid bar for structural reinforcement, uniaxial pull-out test was conducted. The variables were the bar diameter and the number of strands and pitch of the fiber ribs. Tensile tests showed a excellent increase in the modulus of elasticity, 152.1 GPa, as compared to that of the pure GFRP bar (50 GPa). The stress-strain curve was bi-linear, so that the ductile performance could be obtained. For the bond test, the entire GFRP hybrid bar test specimens failed in concrete splitting due to higher shear strength resulting in concrete crushing as a function of bar deformation. Investigation revealed that an increase in the number of strands of fiber ribs enhanced the bond strength, and the pitch guaranteed the bond strength of 19.1 mm diameter hybrid bar with 15.9 mm diameter of core section of deformed steel the ACI 440 1R-15 equation is regarded as more suitable for predicting the bond strength of GFRP hybrid bars, whereas the CSA S806-12 prediction is considered too conservative and is largely influenced by the bar diameter. For further study, various geometrical and material properties such as concrete cover, cross-sectional ratio, and surface treatment should be considered.

1축 인장 부재의 인장강성 및 부착길이 효과 (Tension Stiffening and Bond Length of Reinforced Concrete Members Subjected to Uniaxial Tension)

  • 조능호;정원기;강희철;서정문;전영선
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2000년도 가을 학술발표회 논문집(II)
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    • pp.873-878
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    • 2000
  • Tension stiffening effects of reinforced concrete member with large diameter bar, mainly used at reactor building of nuclear power plant, are studied by uniaxial structural tests. Bond length and stress of steel bar, size of steel bar, and compressive strength of concrete are evaluated to tension stiffening by uniaxial tests. Problems and solution during the uniaxial test are suggested. The prevent splitting cracks, concrete cover-to-bar diameter ratio $c/d_{b}$ is kept 2.6~2.8. Because the bond length is increased as the size of steel bar, the specimen length of the D35 steel bar is required at least 2.0 m. The specimen length must be decided with bond length as well as concrete cover-to-bar diameter ratio to prevent splitting crack.

철근의 부식정도와 부착강도에 대한 연구 (A Study on the Relationship between Degree of Rust Condition and Bond Strength in Reinforced Concrete Members)

  • 유환구;이병덕;김국한;안태송
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 봄 학술발표회논문집(II)
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    • pp.621-626
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    • 1998
  • An experimental investigation on the reinforcing bar corrosion and relationshid of reinforcing bar and concrete bond strength has been conducted to establish the allowable limit of rust in the construction field. The reinforcing bars used in this study were rusted before embedding in concrete. The first component of this experiment is to make rust of reinforcing bar rust artificially based on Faraday's theory at certain rates such as 2, 4, 6, 8 and 10% of reinforcing bar weight. For estimation of the amount of rust by weight, Clarke's solution and Shot blasting were adopted and compared. Parameters include 240 and 450kg/㎠ of compressive strengths and diameter of reinforcing bar (16, 19 and 25mm) corresponding development length for pull-ort test. And, pull-out tests were carried. out according to KSF 2441 and ASTMC 234 to investigate the effect of the corrosion rate on reinforcing bar-concrete bond behavior. It is found from the test results that the test techniques for corrosion of bar used in this study is relatively effective and correct test method. Results shows that up to 2% of rust increases the bond strength regardless of concrete strength and diameter of reinforcing bar like the existing data. It might be because of the roughness from rust. As expected, the bond strength increases as compressive strength of concrete increases and the diameter of bar decreases.

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분무성형 조건에 따른 봉상성형체의 형상변화 (A Study on the Shape Control of Billet in Spray Forming Method)

  • 신돈수;석현광;오규환;나형용;이호인
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 1996년도 제6회 학술강연회논문집
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    • pp.209-216
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    • 1996
  • The shape variation of billet was investigated by numerical method and spray forming work with variation of average substrate withdrawal velocity$\bar{V}$, withdrawal velocity change interval $\Delta$t and velocity deviation from average velocity $V_{dev}$. The shape and diameter with large$\bar{V}$, $\Delta$t, $V_{dev}$ vary seriously. When $\bar{V}$, $\Delta$t, $V_{dev}$ are smaller, the shape of billet is more simillar to that of the billet with constant withdrawal velocity. The average diameter of billet is determined by only $\bar{V}$, independent of $\Delta$t, $V_{dev}$. With $\bar{V}$, : 0.2 mm/sec $\Delta$t: 200 sec and $V_{dev}$. : 0.2mm/sec billet of constant diameter 230mm$\times$ height 1000mm were manufactured.

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A Relationship between the Second Largest Eigenvalue and Local Valency of an Edge-regular Graph

  • Park, Jongyook
    • Kyungpook Mathematical Journal
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    • 제61권3호
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    • pp.671-677
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    • 2021
  • For a distance-regular graph with valency k, second largest eigenvalue r and diameter D, it is known that r ≥ $min\{\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2},\;a_3\}$ if D = 3 and r ≥ $\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2}$ if D ≥ 4, where λ = a1. This result can be generalized to the class of edge-regular graphs. For an edge-regular graph with parameters (v, k, λ) and diameter D ≥ 4, we compare $\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2}$ with the local valency λ to find a relationship between the second largest eigenvalue and the local valency. For an edge-regular graph with diameter 3, we look at the number $\frac{{\lambda}-\bar{\mu}+\sqrt{({\lambda}-\bar{\mu})^2+4(k-\bar{\mu})}}{2}$, where $\bar{\mu}=\frac{k(k-1-{\lambda})}{v-k-1}$, and compare this number with the local valency λ to give a relationship between the second largest eigenvalue and the local valency. Also, we apply these relationships to distance-regular graphs.

Adaptation of impactor for the split Hopkinson pressure bar in characterizing concrete at medium strain rate

  • Zhao, Pengjun;Lok, Tat-Seng
    • Structural Engineering and Mechanics
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    • 제19권6호
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    • pp.603-618
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    • 2005
  • The split Hopkinson pressure bar (SHPB) technique is widely used to characterize the dynamic mechanical response of engineering materials at high strain rates. In this paper, attendant problems associated with testing 70 mm diameter concrete specimens are considered, analysed and resolved. An adaptation of a conventional solid circular striker bar, as a means of achieving reliable and repeatable SHPB tests, is then proposed. In the analysis, a pseudo one-dimensional model is used to analyse wave propagation in a non-uniform striker bar. The stress history of the incident wave is then obtained by using the finite difference method. Comparison was made between incident waves determined from the simplified model, finite element solution and experimental data. The results show that the simplified method is adequate for designing striker bar shapes to overcome difficulties commonly encountered in SHPB tests. Using two specifically designed striker bars, tests were conducted on 70 mm diameter steel fibre reinforced concrete specimens. The results are presented in the paper.

소형콘과 T-bar 관입기를 이용한 카올린 점토의 비배수전단강도 산정에 관한 연구 (Determination of Undrained Shear Strength using Miniature Cone and T-bar Penetrometers for Kaolin Clay)

  • ;추연욱
    • 대한토목학회논문집
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    • 제38권3호
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    • pp.429-438
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    • 2018
  • 원추형콘과 T-bar 관입시험기는 점토의 비배수전단강도를 측정하기 위해 널리 사용된다. 축소모형시험의 경우 소형관입시험기가 사용되어야 하지만 경험상관계수에 대해 발표된 자료가 부족하다. 본 연구에서는 소형콘과 소형T-bar 관입시험기의 경험상관계수를 도출하기 위한 시험시스템을 구축하였고, 카올린점토에 대하여 실험을 수행하였다. 직경 350mm의 강재원형챔버를 사용하여 4개의 모형지반을 조성하였고, 각 모형지반은 다른 선행압밀응력에서 압밀하여 비배수전단강도를 조절하였다. 경계면 효과, 관입속도, 직경 및 형상의 영향을 확인하기 위하여 다른 직경을 가진 두 직경의 소형콘(10mm, 16mm)과 직경 10mm T-bar를 이용하여 시험을 수행하였다. 또한 관입시험 후의 시편을 채취하여 비압밀비배수삼축시험을 수행하여 비배수전단강도로 결정하였다. 최종적으로 비배수전단강도와 관입시 선단저항력의 상관관계를 통해 경험상관계수를 산정하였다.

ACI 318-19 변경에 따른 확대머리철근 정착설계의 영향분석 (Study on the Effect on the Development Design of Headed Deformed Bars by change of ACI 318-19)

  • 이병수
    • 한국건축시공학회:학술대회논문집
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    • 한국건축시공학회 2019년도 추계 학술논문 발표대회
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    • pp.110-111
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    • 2019
  • In ACI 318-19 published recently, the conditions and development length equation to use the headed deformed bars were changed considerably. Although the use of the larger-diameter(No.14 and 18) headed deformed bars isn't yet permitted, the use of the high strength(80,000psi) headed deformed bars is permitted and the effect of bar-diameter($d_b$) on the development length is increased considerably. Therefore, structures using larger-diameter headed deformed bars will be expected to be affected by this code change. We will study the effect of the code change on the development design and find out the design optimization method to minimize the effect of the changed conditions and development length equation.

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