• Title/Summary/Keyword: 곡률변형

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Comparison of Mechanical Properties and Form Accuracy in FDM 3D Printing Based on Building Conditions (FDM 방식 3D 프린팅에서 제작 조건에 따른 기계적물성치와 형상정밀도의 실험적 비교)

  • Kim, Gi-Dae
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.8
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    • pp.52-59
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    • 2021
  • In this study, we experimentally evaluated the mechanical properties and geometric form accuracy in FDM 3D printing processes based on the printing direction, building direction, and layer thickness. The specimen test results showed that the tensile strength increased by over 33% in the printing direction compared to the direction perpendicular to printing and the tensile strength becomes larger as the layer thickness decreased. Furthermore, the tensile and impact strengths in the building direction were significantly reduced due to the difference in the interlayer joining and bonding strengths of the fused material. Additionally, shrinkage of the material due to phase change induced curl distortion especially in thin and long 3D-printed products, which increased as the layer thickness increased.

Influence of Tension Stiffening Effect on Deflection and Crack Width in RC Members (철근콘크리트 부재의 처짐과 균열폭에 대한 인장증강효과의 영향)

  • Choi, Seung-Won;Yang, Jun-Ho;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.22 no.6
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    • pp.761-768
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    • 2010
  • When cracks occur in reinforced concrete structures, a steel carries all tensile force at crack section, while the concrete between cracks carries a part of the tensile force due to bond, so that the steel is less elongated. This is called the tension-stiffening effect, that plays an important role in verification of a serviceability limit state. But it is a complicated work to use a complex strain distribution between cracks, therefore an average strain is used to calculate deflection and crack width. In Eurocode 2, tension-stiffening effect expressed in the first order form or the second order form is used in calculating an average curvature for deflection. In this study for a flexural member deflection and crack width are calculated using various models for the tension-stiffening effect and the results are compared with the values of Eurocode 2 and KCI provisions. As results, the predicted values using the second order form are appeared to be well agreed with the experimental values and it could secure more analytical consistency.

Analysis of Crack Width and Deflection Based on Nonlinear Bond Characteristics in Reinforced Concrete Flexural Members (비선형 부착 특성에 기반한 철근콘크리트 휨부재의 균열폭과 처짐 해석)

  • Lee, Gi-Yeol;Kim, Woo
    • Journal of the Korea Concrete Institute
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    • v.20 no.4
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    • pp.459-467
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    • 2008
  • This paper describes a proposal for average crack width and immediate deflection calculation in structural concrete members. The model is mathematically derived from actual bond stressslip relationships and tension stiffening effect between reinforcement and the surrounding concrete, and the actual strains of steel and concrete are integrated respectively along the embedded length between the adjacent cracks so as to obtain the difference in the axial elongation. With these, a model for average crack width and immediate deflection in reinforced concrete flexural members are proposed utilizing difference in the axial elongation and average steel strain and moment-curvature relationship with taking account of bond characteristics. The model is applied to the test specimens available in literatures, and the crack width and deflections predicted by the proposal equation in this study are closed to the experimentally measured data compared the current code provisions.

An In-silico Simulation Study on Size-dependent Electroelastic Properties of Hexagonal Boron Nitride Nanotubes (인실리코 해석을 통한 단일벽 질화붕소 나노튜브의 크기 변화에 따른 압전탄성 거동 예측연구)

  • Jaewon Lee;Seunghwa Yang
    • Composites Research
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    • v.37 no.2
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    • pp.132-138
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    • 2024
  • In this study, a molecular dynamics simulation study was performed to investigate the size-dependent electroelastic properties of single-walled boron nitride nanotubes(BNNT). To describe the elasticity and polarization of BNNT under mechanical loading, the Tersoff potential model and rigid ion approximation were adopted. For the prediction of piezoelectric constants and Young's modulus of BNNTs, piezoelectric constitutive equations based on the Maxwell's equation were used to calculate the strain-electric displacement and strain-stress relationships. It was found that the piezoelectric constants of BNNTs gradually decreases as the radius of the tubes increases showing a nonnegligible size effect. On the other hand, the elastic constants of the BNNTs showed opposites trends according to the equivalent geometrical assumption of the tubular structures. To establish the structure-property relationships, localized configurational change of the primarily bonded B-N bonded topology was investigated in detail to elucidate the BNNT curvature dependent elasticity.

Mechanical Model for Failure of Compressed Concrete in Reinforced Concrete Beams (철근 콘크리트 보에서 압축력을 받는 콘크리트의 파괴에 대한 역학적 모델)

  • 한국콘크리트학회
    • Magazine of the Korea Concrete Institute
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    • v.16 no.4 s.81
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    • pp.70-77
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    • 2004
  • 콘크리트 구조물에 대한 많은 기준들의 요건에 따르면, 휨을 받는 철큰 콘크리트(RC) 보의 압축부에서의 응력은 일반적으로 일축의 응력-변형을 관계를 이용하여 계산한다. 이와 같은 접근은 가끔씩 압축력을 받는 콘크리트에서 부서짐이 발성할 때 보의 구조적 거동을 재현하지 못할 수 있다. 결과적으로, RC 구조물의 지지력과 그들의 연성은 근사적으로 평가된다. 본 논문에서는 압축을 받고 있는 콘크리트의 postpeak 거동은 활동면을 이용하여 모델링되었다. 이 활동 면의 모멘트-곡률곡선에서 연화부분에 그 원인이 있다. 제안된 활동현상의 수학적 표현은 압축력을 받는 콘크리트(즉, 연화부분의 거동이 압축영역의 크기와 변형률구배(곡배)에 의존하는)에 있어서 특정한 응력-변형률 관계를 정의하는 것이 얼마나 어려운지를 보여주고 있다.

복합재료의 탄성학 소개

  • 황운봉
    • Journal of the KSME
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    • v.29 no.3
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    • pp.231-243
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    • 1989
  • 복합재료의 탄성 문제를 정리하면 다음과 같다. 복합재료와 등방성 재료의 탄성학적 차이는 재료의 탄성계수에 기인하며 이것은 각각 다른 형태의 응력-변형률관계를 갖게 한다. 한편 응 력-변형률 관계식을 제외한 탄성학의 지배방정식은 재료의 종류에 관계없이 성립한다. 복합적 층판의 Stiffness와 응력 등은 Lamination 이론을 사용하여 구할 수 있다. 판이론은 평형식을 z방향으로 적분한 식, 즉 합력(resultant force)와 모멘트로 나타낸 평형식을 사용하는데 이 때 처짐 방정식을 구하기 위해 합력. 모멘트-곡률. 변형률 관계식을 이용하는데 이 관계식이 복합 재료와 등방성재료가 상이하다. 결과로 복합재료는 커플링 효과를 갖게 되며, 복합적층판을 대 칭으로 쌓으면 이 효과를 상쇄시킬 수 있다. 복합적층 보의 이론은 유효 굽힘 계수를 도입하면 등방체 보 이론을 사용하여 보의 처짐을 해석할 수 있다. 복합적층 보의 경우 굽힘 응력의 최 대치는 등방체와는 달리 보의 표면에서만 일어나지 않고 내부에서도 일어날 수 있다.

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Study on the General Theory of Stiffened Plates (補剛平板의 一般理論 硏究)

  • 김천욱;원종진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.2
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    • pp.287-295
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    • 1987
  • The general equation of equilibrium is presented for a stiffened plate on which the stiffeners having rectangular cross-sections are attached by one or both sides with arbitrarily angles. The principle of minimum potential energy is applied using the concept of adjusted-centroid to derive the equilibrium equation for the stiffened plate. Equivalent rigidities in the present theory are in good agreement with the experiments by the vibration method.

Estimation of Dynamic Displacement and Characteristics of A Simple Beam from FBG Sensor Signals (FBG센서 응답을 이용한 단순보의 동적 변위 및 동특성 추정)

  • Choi, Eun Soo;Kang, Dong Hoon;Chung, Won Seok;Kim, Hak Soo
    • Journal of Korean Society of Steel Construction
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    • v.18 no.4
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    • pp.503-514
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    • 2006
  • FBG sensors are capable of measuring the strain of structures easily and more durably than electric resistance gauges. Thus, many researches are dedicated to the application for the response monitoring or non-destructive evaluation of structures using FBG sensors. Additionally, the measured strains at the top and bottom of a cross-section can be transformed into the curvature of the section, which can be used to calculate its vertical displacement. Hence, this study aims to measure the dynamic strain signals of a steel section simply supported beam and to estimate the dynamic displacement from the strain signals, after which the estimated displacement is com pared with the measured displacement. The dynamic characteristics (natural frequency, damping ratio and mode shape) of the beam are predicted from both the estimated and measured displacement signals, and from the strain time history of the FBG sensors. The predicted properties are compared with those of an analytical model of the beam. The estimated displacement. However, the predicted dynamic properties from both the estimated displacements and the measured strains are well-correlated with those from the measured displacement. It is therefore appreciated that the estimation of the dynamic properties of FBG sensor signals is reasonable. Especially, the strain signal of the FBG sensor was amplified at a higher-frequency region in comparison with the displacement estimation with higher-mode properties.

Curvature Linear Equation of a Coma Corrected Two-Mirror System with Finite Object Distance (유한 물체거리를 갖는 코마수차가 보정된 2 반사경계의 곡률선형방정식)

  • Hwang, Seok-Ju;Rim, Cheon-Seog;Jo, Jae-Heung
    • Korean Journal of Optics and Photonics
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    • v.18 no.1
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    • pp.19-23
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    • 2007
  • We derived analytically the generalized curvature linear equation useful in the initial optical design of a two-mirror system with finite object distance, including an infinite object distance from paraxial ray tracing and Seidel third order aberration theory for coma coefficient. These aberration coefficients for finite object distance were described by the curvature, the inter-mirror distance, and the effective focal length. The analytical equations were solved by using a computer with a numerical analysis method. Two useful linear relationships, determined by the generalized curvature linear equations relating the curvatures of the two mirrors, for the cancellation of each aberration were shown in the numerical solutions satisfying the nearly zero condition ($<10^{-10}$) for each aberration coefficient. These equations can be utilized easily and efficiently at the step of initial optical design of a two-mirror system with finite object distance.

The Strain Corrections for Accuracy Improvement to Predict Large Deformation of Wings (날개 대변형 예측의 정확성 향상을 위한 변형률 보정)

  • Lee, Hansol;Kim, In-Gul;Park, Sunghyun;Kim, Min-Sung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.44 no.1
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    • pp.1-11
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    • 2016
  • The information about the deformations of high-aspect-ratio wings is needed for the real-time monitoring of structural responses. Wing deformation in flight can be predicted by using relationship between the curvatures and the strains on the wing skin. It is also necessary to consider geometric nonlinearity when the large deformation of wing is occurred. The strain distribution on fixed-end is complex in the chordwise direction because of the geometric shape of fixed-wings on fuselages. Hence, the wing displacement can be diversely predicted by the location of the strain sensing lines in the chordwise direction. We conducted a study about prediction method of displacements regardless of the chordwise strain sensing locations. To correct spanwise strains, the ratio of spanwise strain to chordwise strain, Poisson's ratio, and the ratio of the plate strain to the beam strain were used. The predicted displacements using the strain correction were consistent with those calculated by the FEA and verified through the bending testing.