• 제목/요약/키워드: curvature equation

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

  • 이기열;김우
    • 콘크리트학회논문집
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    • 제20권4호
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    • pp.459-467
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    • 2008
  • 이 논문은 철근콘크리트 휨부재의 균열폭과 처짐 계산에 대한 해석적 모델을 제안한 것이다. 균열 안정화단계에서 철근과 콘크리트 경계면에서 발생하는 실제와 유사한 형태의 부착응력-미끌림 관계와 인장증강효과를 수치적으로 유도한 후, 균열과 균열 사이에서 철근의 매입길이 방향으로 발생하는 철근과 콘크리트의 변형률 차이가 균열면으로 누적되는 양을 계산할 수 있는 평형방정식을 이용하였다. 이로부터 두 재료의 변형량 차이로부터 평균 균열폭을 계산할 수 있는 모델과 인장증강효과를 반영한 철근의 평균변형률과 모멘트-곡률 관계를 도입하여 처짐을 계산하는 모델을 제안하였다. 이렇게 정식화된 새로운 균열폭 및 처짐 모델을 기존 문헌에 발표된 여러 연구자들의 실험자료에 적용하여 그 정확성을 검증한 결과, 제안식에 의한 예측값은 현재 사용되고 있는 여러 설계기준의 사용성 규정으로 계산한 결과와 비교할 때 실험값을 비교적 정확하게 예측하는 것으로 나타났다.

Free vibration analysis of large sag catenary with application to catenary jumper

  • Klaycham, Karun;Nguantud, Panisara;Athisakul, Chainarong;Chucheepsakul, Somchai
    • Ocean Systems Engineering
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    • 제10권1호
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    • pp.67-86
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    • 2020
  • The main goal of this study is to investigate the free vibration analysis of a large sag catenary with application to the jumper in hybrid riser system. The equation of motion is derived by using the variational method based on the virtual work principle. The finite element method is applied to evaluate the numerical solutions. The large sag catenary is utilized as an initial configuration for vibration analysis. The nonlinearity due to the large sag curvature of static configuration is taken into account in the element stiffness matrix. The natural frequencies of large sag catenary and their corresponding mode shapes are determined by solving the eigenvalue problem. The numerical examples of a large sag catenary jumpers are presented. The influences of bending rigidity and large sag shape on the free vibration behaviors of the catenary jumper are provided. The results indicate that the increase in sag reduces the jumper natural frequencies. The corresponding mode shapes of the jumper with large sag catenary shape are comprised of normal and tangential displacements. The large sag curvature including in the element stiffness matrix increases the natural frequency especially for a case of very large sag shape. Mostly, the mode shapes of jumper are dominated by the normal displacement, however, the tangential displacement significantly occurs around the lowest point of sag. The increase in degree of inclination of the catenary tends to increase the natural frequencies.

오목한 표면위에 분사되는 경사충돌제트에 대한 국소열전달계수의 측정 (Local heat transfer measurement from a concave surface to an oblique impinging jet)

  • 임경빈;김학주
    • 설비공학논문집
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    • 제10권3호
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    • pp.324-333
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    • 1998
  • Measurements of the local heat transfer coefficients on a hemispherically concave surface with a round oblique impinging jet were made. The liquid crystal transient method was used for these measurements. This method, which is a variation of the transient method, suddenly exposes a preheated wall to an impinging jet while video recording the response of liquid crystal for the surface temperature measurements. The Reynolds number used was 23,000 and the nozzle -to -jet distance was L/d=2, 4, 6, 8 and 10 and the jet angle was $\alpha$=0$^{\circ}$, 15$^{\circ}$, 30$^{\circ}$and 40$^{\circ}$. In the experiment, the maximum Nusselt number at all region occurred at L/d(equation omitted)6 and Nusselt number decreases as the inclined jet angle increases. For the normal jet the contours of constant Nusselt number are circular and as the jet is inclined closer and closer to the surface the contours become elliptical shape. The decreasing rate of the Nusselt number at X/d> 0(upstream) on a surface curvature are higher than those on a flate plate and the decreasing rate of the Nusselt number at X/d <0(downstream) on a surface curvature are lower than those on a flate plate. And also, the decreasing rate of local Nusselt number distribution at X/d <0(upstream) exhibit lower than with X/d <0(downstream) as jet angle increases. The second maximum Nusselt number occurred at long distance from stagnation point as jet angle increases.

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비직교 좌표변환에 의한 선회연소기내 난류재순환유동의 수치해석 (Numerical analysis of turbulent recirculating flow in swirling combustor by non-orthogonal coordinate transformation)

  • 신종근;최영돈
    • 대한기계학회논문집
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    • 제12권5호
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    • pp.1158-1174
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    • 1988
  • 본 연구에서는 계단형 벽면조건을 없게 하기 위해서 비직교 좌표계(non-orth- ogonal coordinate system)를 사용하여 수치해석하였다. 비직교 좌표계를 이용한 수 치해석의 예는 Thompson등이 Laplace방정식 혹은 Poisson방정식을 해석함으로써 비직 교 격자망을 구성한 바 있고, Fahgri와 Asako는 대수적 비직교 좌표변환으로 유한차분 방정식을 유도하여 비정규경계면을 갖는 관로에서의 유동특성을 해석하였으며 이재헌 과 이상렬은 Fahgri와 Asako의 방법을 비정규경계면을 갖는 밀폐공간내에서의 자연대 류의 수치해석에 적용한 바 있다. 본 해석에서도 Fahgri와 Asako의 변환법으로 유한 차분방정식을 유도하였는데, 이 방법을 사용할 경우 확대관의 경사벽면을 계단형으로 만들지 않고 유한차분방정식을 유도할 수 있어서 계단형 벽면으로 인한 해의 오차를 제거할 수 있다. Fig.2는 본 해석에서 사용한 비직교 격자망을 나타낸다.

한국인 정상교합자의 3차원 디지털 모형을 이용한 순,협측 치면 곡률 (Labial and buccal surface contours of Korean normal occlusion in a three-dimensional digital model)

  • 채지현;송진욱;차정열;최정수;박영철
    • 대한치과교정학회지
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    • 제38권2호
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    • pp.95-103
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    • 2008
  • 본 연구는 한국인의 치아형태에 적합한 브라켓 베이스를 만들기 위해 임상 치관의 순,협측 곡률을 3차원적으로 계측하여 치관의 곡률 자료를 얻고자 하였다. 정상적인 해부학적 형태를 가지는 구강모형 30쌍을 3차원 디지털 모델로 제작한 후, FA점을 기준으로 수평 기준면과 수직 기준면을 설정하였다. 이 기준면에 대한 치면의 곡선을 형성한 후, 곡률을 이차방정식의 계수로 표현하였다. 수평면과 수직면의 곡률과 FA점을 기준으로 근심과 원심, 치은측과 교합면측의 곡률을 측정한 결과, 상악견치와 상악 제2소구치 외에는 남녀간 치면 곡률의 유의한 차이가 없었다. 하악 측절치, 상악 견치, 상하악 제1, 2소구치와 제1대구치에서 근원심 또는 치은교합면측 치면 곡률의 유의한 차이가 관찰되었다 (p < 0.05). 본 연구에서 얻어진 순,협측 치면의 곡률 자료는 한국인의 치아 형태에 적합한 Straight Wire Appliance 개발의 기초 자료로 활용될 수 있다.

사각 단면 관 내부의 발달하는 층류 유동 유사성에 종횡비가 미치는 영향 (Effect of Aspect Ratio on the Similarity of Developing Laminar Flows in Rectangular Ducts)

  • 이공희;백제현
    • 대한기계학회논문집B
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    • 제28권4호
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    • pp.441-448
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    • 2004
  • A numerical study was conducted to show the effect of aspect ratio on the analogy of the developing laminar flows between in orthogonally rotating straight duct and in a stationary curved duct of rectangular cross-section. In order. to clarify the similarity of two nows, dimensionless parameters (equation omitted) and Rossby Ro= $w_{m}$$\Omega$ $d_{h}$, in a rotating straight duct were used as a set corresponding to Dean number, (equation omitted), and curvature ratio, λ=R/ $d_{h}$, in a stationary curved duct. Four. different aspect ratios A=0.25, 0.5, 2 and 4 were considered. Under the condition that the magnitudes of Ro and λ were large enough to satisfy the 'asymptotic invariance property' and the aspect ratio was larger than 1, there were strong quantitative similarities between the two flows such as flow patterns, friction factors, and maximum axial velocity magnitudes fur the same values of $K_{LR}$ and $K_{LC}$ . On the other hand, as the aspect ratio decreased below 1 (A=0.25 and 0.5), the difference of the secondary flow intensity between these two flows was enhanced and therefore the analogy of two flows was not so evident as that of the larger aspect ratio (A=2 and 4). 4).nd 4).

CFRP 배향각에 따라 변화하는 PZTCA의 작동변위(Δ h)와 곡률반경(ρ)의 관계식 제안 (Proposal of Equation on Changable Performance Stroke (Δ h) and Radius of Curvature (ρ) According to the CERP Ply Orientation in PZTCA)

  • 홍정화;윤광준;김철웅
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.318-327
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    • 2006
  • Due to the diversified use of recent Piezoelectric Zirconate Titanate Composite Actuate. (PZTCA), various PZTCAs with the different ply orientation of the fiber layer have been applied. For this reason, the applicable bending moment equation is necessary even though the fiber layer ply orientation and the laminate configuration are changed. The aim of this research is to evaluate the relationship between the total effective moment $(M^E)$ and Bernoulli-Euler bending moment (M) when the ply orientations of UD CFRP are changed. In conclusions, firstly, as the performance test results by the CFRP ply orientation, the performance of [0] and [90] were stable. However, while the performance of [+45] was suddenly decreased after 5 hours. Secondly, the change of $(M^E)$ by the CFRP ply orientation was evaluated. As the CFRP ply orientation was increased from [0] to [+60], the $(M^E)$ were gradually decreased. However, they became a little bit increased from [+60] to [90]. Finally, after the change of M by the CFRP ply orientation was evaluated, it was found that $M^E=2.2M$ was valid for just [0] and that there was a relationship between $M^E$ and M according to the ply orientation.

V형직선선형(V型直線船型)의 특징(特徵) (Some Characteristics of Straight-Framed V-Bottom Hull Forms.)

  • 김극천
    • 대한조선학회지
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    • 제1권1호
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    • pp.9-16
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    • 1964
  • As a pre-study for researches on powering characteristics of straight-framed V-bottom hull forms for usual commercial vessels, practicability of such a hull is investigated from viewpoints of over-all ship economy. For this purpose, a trawler hull of straight-elements with double chines, SV(T)-1, similar to Prof. Nevitt's W-8 in size and hull form coefficients was designed and tested at the SNU Ship Model Towing Tank for resistance measurements. The result is given in Fig.3 together with those of W-8 and other equivalent hulls of double curvature, such as FAO 135a-173, Doust and Takgi. The curves of the latters are reproduction of Prof. Nevitt's analysis, and given for comparison purpose. With in speed range of $9.0{\sim}10.5$ konts the resistance coefficients of SV(T)-1 are $18{\sim}25%$ higher than those of W-8, and $5{\sim}20%$ and $12{\sim}14%$ higher than those of FAO 135a-173 and Doust respectively. SV(T)-1, however, is slightly superior in resistance characteristics than Takagi's equivalent hull within the speed range. On the other hand, an equation for reduction rates of hull construction cost required to compensate for propulsion power increase in straight-elements hulls was derived from the definition of the economic efficiency of commercial vessels. The solution of the equation is given in Fig.4 graphically, from which it is known that $10{\sim}20%$ increase in propulsion power can be compensated by $8{\sim}16%$ reduction in hull construction cost. Considering simplicity and less equipments required in construction of straight -elements hulls, the author does argue for attainability of the above reduction rates in hull construction cost. Consequently, it is concluded that there is clear feasibility to adopt straight-elements hulls for usual commercial vessels of medium and small-size. And a further research will be done to obtain reliable data for chine shapes having good flowliness with the flow around ships depending on ship's size and speed.

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다층간분리된 직교 적층 보-기둥의 자유진동과 좌굴하중 (Free Vibrations and Buckling Loads of Axially Loaded Cross-Ply Laminated Composite Beam-Columns with Multiple Delaminations)

  • 이성희;김형열;박기태;박대효
    • 한국전산구조공학회논문집
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    • 제15권3호
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    • pp.523-534
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    • 2002
  • 본 논문에서는 축방향 압축하중을 받는 다퐁간분리된 적층 보-기둥의 자유진동과 좌팔에 대한 해석을 수행하였다. 다층간분리된 적층 보-기둥의 고유진동수와 탄성 좌굴 하중에 대한 층간분리의 영향을 조사하기 위해 층간분리의 양단에서 기울기와 곡률이 일정하다는 가정을 적용하여 일반적인 운동학적 연속 조건을 유도하였다. 전체 다층간분리된 보-기둥을 부분으로 분할하고, 연속조건에 따른 반복관계를 각 하부 보-기둥에 부과함으로써 다층간분리된 보-기둥의 특성방정식을 구하였다. 축방향 증분 압축 하중에 따른 다층간분리된 보-기둥의 고유진동수와 탄성 좌굴 하중을 구하였으며 이는 손상되지 않은 적층 보-기둥의 최대 탄성 좌굴 하중에 한정된다 연구를 통하여 층간분리의 크기, 위치, 수가 고유진동수와 특히 탄성 좌굴 하중에 큰 영향을 미치는 것을 알 수 있었다.

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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    • 제74권1호
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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.