• 제목/요약/키워드: Plane stress field

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DQM을 이용한 탄성지반 위에 놓인 보-기둥의 자유진동 해석 (Free Vibration Analysis of Beam-Columns on Elastic Foundation Using Differential Quadrature Method)

  • 최규문;김무영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
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    • pp.1005-1009
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    • 2001
  • This paper deals with the free vibration analysis of beam-columns on elastic foundation using Differential Quadrature Method. Based on the dynamic equilibrium equation of a beam element acting the stress resultants and the inertia force, the governing differential equation is derived for the in-plane free vibration of such beam-columns. For calculating the natural frequencies, this equation is solved by the Differential Quadrature Method. It is expected that the results obtained herein can be used in application of Differential Quadrature Method to the field of civil engineering and practically in the structural engineering, the foundation engineering and the vibration control fields.

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Red Blood Cell Velocity Field in Rat Mesenteric Arterioles Using Micro PIV Technique

  • Sugii, Y;Nishio, S;Okamoto, K;Nakano, A;Minamiyama, M;Niimi, H
    • International Journal of Vascular Biomedical Engineering
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    • 제1권1호
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    • pp.24-31
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    • 2003
  • As endothelial cells are subject to flow shear stress, it is important to determine the detailed velocity distribution in microvessels in the study of mechanical interactions between blood and endothelium. This paper describes a velocity field of the arteriole in the rat mesentery using an intravital microscope and high-speed digital video system obtained by a highly accurate PIV technique. Red blood cells (RBCs) velocity distributions with spatial resolutions of $0.8{\times}0.8{\mu}m$ were obtained even near the wall in the center plane of the arteriole. By making ensemble-averaged time-series of velocity distributions, velocity profiles over different cross-sections were calculated for comparison. The shear rate at the vascular wall also evaluated on the basis of the ensemble-averaged profiles. It was shown that the velocity profiles were blunt in the center region of the vessel cross-section while they were steep in the near wall region. The wall shear rates were significantly small, compared with those estimated from the Poiseuille profiles.

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횡단류 제트의 유동 및 난류특성치에 대한 PIV 측정 (PIV Measurements of Flow and Turbulence Characteristics of Round Jet in Crossflow)

  • 김경천;김상기;윤상열
    • 대한기계학회논문집B
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    • 제24권3호
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    • pp.382-389
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    • 2000
  • The instantaneous and ensemble averaged flow characteristics of a round jet issuing normally into a crossflow was studied using a flow visualization technique and Particle Image Velocimetry measurements. Experiments were performed at a jet-to-crossflow velocity ratio, 3.3, and two Reynolds numbers, 1050 and 2100, based on crossflow velocity and jet diameter. Instantaneous laser tomographic images of the vertical center plane of the crossflow jet showed that there exist very different natures in the flow structures of the near field jet even though the velocity ratio is the same. It was found that the shear layer becomes much thicker when the Reynolds number is 2100 due to the strong entrainment of the inviscid fluid by turbulent interaction between the jet and crossflow. The mean and second order statistics were calculated by ensemble averaging over 1000 realizations of instantaneous velocity fields. The detail characteristics of mean flow field, stream wise and vertical r.m.s. velocity fluctuations, and Reynolds shear stress distributions were presented. The new PlV results were compared with those from previous experimental and LES studies.

지하굴착에 따른 붕괴유형에 대한 고찰 (Consideration of Failure Type on the Ground Excavation)

  • 이중재;정경식;이창노
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.660-670
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    • 2009
  • Neighboring construction becomes mainstream of Ground excavation in downtown area. This causes the displacement, deformation, stress condition, etc of the ground surroundings. Therefore Neighboring construction have an effect on Neighboring structure. All these years a lot of Neighboring construction carried out, and the accumulation of technology also get accomplished. But earth retaining structure collapse happens yet. Types of earth retaining structure collapse are 12. 1. Failure of anchor or strut system, 2. Insufficiency of penetration, 3. H-pile Failure on excessive bending moment, 4. Slope sliding failure, 5. Excessive settlement of the back, 6. Deflection of H-pile, 7. Joint failure of coupled H-pile, 8. Rock failure when H-pile penetration is rock mass, 9. Plane arrangement of support systems are mechanically weak, 10. Boiling, 11. Heaving, 12. Over excavation. But field collapses are difficult for classification according to the type, because collapse process are complex with various types. When we consider the 12 collapse field, insufficient recognition of ground condition is 4 case. Thorough construction management prevents from fault construction. For limitations of soil survey, It is difficult to estimate ground condition exactly. Therefore, it should estimate the safety of earth retaining system, plan for necessary reinforcement, according to measurement and observation continuously.

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Theoretical solutions for displacement and stress of a circular opening reinforced by grouted rock bolt

  • Zou, Jin-Feng;Xia, Zhang-Qi;Dan, Han-Cheng
    • Geomechanics and Engineering
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    • 제11권3호
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    • pp.439-455
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    • 2016
  • This paper presented solutions of displacement and stress for a circular opening which is reinforced with grouted rock bolt. It satisfies the Mohr-Coulomb (M-C) or generalized Hoek-Brown (H-B) failure criterion, and exhibits elastic-brittle-plastic or strain-softening behavior. The numerical stepwise produce for strain-softening rock mass reinforced with grouted rock bolt was developed with non-associative flow rules and two segments piecewise linear functions related to a principle strain-dependent plastic parameter, to model the transition from peak to residual strength. Three models of the interaction mechanism between grouted rock bolt and surrounding rock proposed by Fahimifar and Soroush (2005) were adopted. Based on the axial symmetrical plane strain assumption, the theoretical solution of the displacement and stress were proposed for a circular tunnel excavated in elastic-brittle-plastic and strain-softening rock mass compatible with M-C or generalized H-B failure criterion, which is reinforced with grouted rock bolt. It showed that Fahimifar and Soroush's (2005) solution is a special case of the proposed solution for n = 0.5. Further, the proposed method is validated through example comparison calculated by MATLAB programming. Meanwhile, some particular examples for M-C or generalized H-B failure criterion have been conducted, and parametric studies were carried out to highlight the influence of different parameters (e.g., the very good, average and very poor rock mass). The results showed that, stress field in plastic region of surrounding rock with considering the supporting effectiveness of the grouted rock bolt is more than that without considering the effectiveness of the grouted rock bolt, and the convergence and plastic radius are reduced.

최근 5년간 한반도 중서부 지역에서 발생한 지진의 진원 특성 분석 (Analysis on the Source Characteristics of the Recent Five-year Earthquakes Occurred in the Central and Western Areas of the Korean Peninsula)

  • 백진주;경재복;최호선
    • 한국지구과학회지
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    • 제32권2호
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    • pp.161-169
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    • 2011
  • 본 연구는 최근 2005년 1월부터 2010년 5월까지 발생한 한반도 중서부지역(36-37.8$^{\circ}N$, 126-128$^{\circ}E$)의 내륙 지진중 규모 2.2 이상의 17개 지진에 대한 단층운동의 해를 구하여 분석하였다. 본 연구를 통해 각 지진의 진앙을 재결정하고, 이를 기상청의 진앙자료와 비교한 결과 대부분 $0.03^{\circ}$ 이내로 대체적으로 유사한 값을 보인다. 진원기구해는 P파 초동극성을 이용하는 방법과 SH파의 극성 및 SH/P 진폭비를 추가하는 방법으로 구하였다. 대부분 주향이동 운동 혹은 주향이동성분이 포함된 사교단층 운동의 특징을 보이며, 주응력장의 P축은 동북동-서남서 혹은 동서 방향이 우세하게 나타난다. 진원기구해는 주로 북북동-남남서와 서북서-동남동 방향의 단층면 혹은 단층보조면을 보이는데, 이는 지표 주구조선의 전반적인 방향과 잘 일치한다. 따라서 진앙이 지표 선구조선과 잘 일치하지 않는다고 하더라도 소규모적으로 지표에 나타나지 않는 이 방향의 지각의 약대를 따라 활성화 했을 가능성이 크다. 또한 경기육괴와 옥천대의 지체구조구에 따른 응력장이나 단층면해의 차이는 나타나지 않으며, 전반적인 한반도의 응력장 분포와도 일치한다.

옥천대에 대한 고자기 연구 : 태백지역에서의 대자율 비등방성과 지구조적 응력장 (Palaeomagnetic Results from the Okchon Belt: Anisotropy of Magnetic Susceptibility (AMS) and Tectonic Stress Field in the Taebaek Area)

  • 김성욱;최은경;정연규;김인수
    • 자원환경지질
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    • 제30권6호
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    • pp.613-624
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    • 1997
  • A study of anisotropy of magnetic susceptibility (AMS) was conducted on the Ordovician-Eocene strata in the Taebaek area. The study area is a northeastern part of the Okchon belt, sometimes called as Paegunsan Synclinal Area. A total of 600 independently oriented samples were collected from 60 sites covering the whole area. With a few exception of late Cretaceous-Eocene volcanic rocks, all the sampled strata are nonmetamorphosed sedimentary rocks, mainly sandstones. Among the 60 sites, 5 sites showed flow lineation lying on the bedding plane, 11 sites showed load foliation parallel to the bedding plane, and 21 sites showed tectonic foliation unrelated to the bedding plane. The tectonic foliations are defined by $k_1-k_2$ ($k_{max}-k_{int}$) anisotropy plane, and are considered as a result of tectonic forces acted perpendicularly to the foliation plane in the geologic past. Regardless of sample-site locations, tectonic force directions defined by $k_3$ ($k_{min}$) axis perpendicular to the tectonic foliation are consistent among the strata of the same geologic age. In the course of geologic time, however, the tectonic force directions showed a clockwise rotation: approximately E-W in the Ordovician sites, NW-SE in the Permian sites, N-S in the Triassic sites, and lastly NE-SW in the late Cretaceous-Eocene sites. The pre-Permian directions showed better clustering in the in-situ (geographic) coordinates, while the younger directions become better clustered after the bedding-tilt correction. It is interpreted that the major tectonic structures of the Taebaek area were controlled by the above-mentioned tectonic forces: The Paegunsan Syncline and the Hambaeksan Fault must have been generated by the NW-SE force of late Permian-early Triassic time. It was then reactivated in the reverse (dextral) sense by the N-S force of Triassic time. The Osipchon Fault in the eastern part of the study area was either generated or reactivated by the NE-SW force of late Cretaceous-Eocene time. The Permo-Triassic NW-SE force should be an expression of the Songnim Disturbance in the Korean peninsula, which is in turn related with the SCB/NCB collision in China.

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비균열 인장재하 시험체의 압축장 이론에 기반한 전단전달강도 산정모델 (Estimation Model of Shear Transfer Strength for Uncracked Pull-Off Test Specimens based on Compression Field Theory)

  • 김민중;이기열
    • 대한토목학회논문집
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    • 제41권2호
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    • pp.101-111
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    • 2021
  • 전단마찰 시험체는 재하형태에 따라 압축재하와 인장재하 시험으로 구분된다. 인장재하 시험의 경우에는 외력으로 작용하는 수직방향 인장력에 의하여 전단응력 및 수직방향 인장응력이 유발된다. 이 연구에서는 압축장 이론을 이용하여 인장재하 시험체의 전단전달강도를 평가하였으며, 2축-응력 상태의 콘크리트 최대 압축강도의 변화를 고려하기 위하여 수정압축장이론, 연화트러스모델의 구성방정식을 사용하였다. 타당성 검증을 위하여 과거 연구자들에 의해 수행된 직접전단강도 실험값들과 압축장 이론을 이용하여 구한 값들을 비교한 결과, 비균열 인장재하 시험체의 경우 예측값과 실측치가 대체적으로 잘 일치함을 확인하였다. 또한 콘크리트 스트럿의 유효압축강도를 고려한 전단강도 평가식을 제안하고, 기존 문헌에 수록된 실험결과와 비교함으로써 제안식의 적용 가능성을 검증하였다.

Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates

  • Younsi, Abderahman;Tounsi, Abdelouahed;Zaoui, Fatima Zohra;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • 제14권6호
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    • pp.519-532
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    • 2018
  • In this work, two dimensional (2D) and quasi three-dimensional (quasi-3D) HSDTs are proposed for bending and free vibration investigation of functionally graded (FG) plates using hyperbolic shape function. Unlike the existing HSDT, the proposed theories have a novel displacement field which include undetermined integral terms and contains fewer unknowns. The material properties of the plate is inhomogeneous and are considered to vary continuously in the thickness direction by three different distributions; power-law, exponential and Mori-Tanaka model, in terms of the volume fractions of the constituents. The governing equations which consider the effects of both transverse shear and thickness stretching are determined through the Hamilton's principle. The closed form solutions are deduced by employing Navier method and then fundamental frequencies are obtained by solving the results of eigenvalue problems. In-plane stress components have been determined by the constitutive equations of composite plates. The transverse stress components have been determined by integrating the 3D stress equilibrium equations in the thickness direction of the FG plate. The accuracy of the present formulation is demonstrated by comparisons with the different 2D, 3D and quasi-3D solutions available in the literature.

수압파쇄 설계를 위한 수치해석기법의 증명 -해석식과의 비교를 중심으로 - (Verification of Numerical Technique for Hydraulic Fracturing Stimulation - by Comparison with Analytical Solutions -)

  • 심영종
    • 한국지반환경공학회 논문집
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    • 제10권4호
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    • pp.65-71
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    • 2009
  • 수압파쇄기술은 가스나 석유, 지열 등 자원추출을 하기 위해 다양한 분야에서 전세계적으로 응용되고 있는 기술이다. 이러한 수압파쇄 작업 시 복수의 균열이 필수적으로 발생하여 균열간 기계적인 상호작용을 유발하는데 이러한 상호작용은 수압파쇄시 얻어질 수 있는 결과(균열 폭, 균열 길이, 보어홀 내 압력)에 큰 영향을 끼치게 된다. 수치해석기법인 경계병치법은 이러한 균열간의 역학적 상호작용을 고려하는데 유효한 수치해석적 기법으로 개발이 되고 있으나 응력확대계수를 계산하는 해석식과의 비교 등을 통한 검증이 필요하다. 이를 위해 무한평면에 일축 인장 응력과 전단응력이 작용하는 단일균열의 경우 및 임의의 두 균열이 존재하는 경우의 응력확대계수 및 균열폭 해석식과 본 수치해석기법을 통해 얻은 값을 비교하였다. 그 결과, 본 연구에서 제시한 경계병치법은 해석식과 상당히 근접한 결과를 나타내어, 균열간의 기계적인 상호작용을 고려하는데 유효함을 검증하였으며, 추후 수압파쇄 시 설계에 필요한 균열폭 등의 변수를 계산하는데 사용할 수 있음을 나타내었다.

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