• 제목/요약/키워드: 6-Node Element

검색결과 134건 처리시간 0.024초

탄성지지된 집중질량을 갖는 변단면 후판의 진동해석 (Vibration Analysis of Thick Plates with Concentrated Mass on Elastic Foundation)

  • 김일중;오숙경;이용수
    • 한국소음진동공학회논문집
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    • 제16권6호
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    • pp.609-618
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    • 2006
  • This study is undertaken for the vibration analysis of tapered thick plate with concentrated mass on elastic foundation. The boundary condition of the plate is analyzed with the 4-sides simply supported and 4-fixed basis. This study find out the frequency following the change in size for each foundational variable on Pasternak foundation, one of the two-parameter elastic foundation parameter that considered the shear layer to the Winkler foundation parameter. The concentrated mass is applied with the consideration of mass of the entire plate, and the change of frequency is studies on each location with the consideration of reacting for the three locations for concentrated mass. And, in order to find out the change of frequency on the thickness of the plate, it considered tapered ratio that linearly changes depending on the length of the plate with the thickness of the plate in x-direction, and the tapered ratio has changes with 4 types ($\alpha$=0.25, 0, 5, 0.75, and 1.0). For the interpretation, the program using finite element method (F.E.M.) is used and the element coordination is used the 8-node serendipity element. Therefore, the purpose of this study is to find out the characteristics of plate vibration under the mechanica vibration or external vibration factor to facilitate as the basic data of the design to secure the stability.

FE modeling for geometrically nonlinear analysis of laminated plates using a new plate theory

  • Bhaskar, Dhiraj P.;Thakur, Ajaykumar G.
    • Advances in aircraft and spacecraft science
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    • 제6권5호
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    • pp.409-426
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    • 2019
  • The aim of the present work is to study the nonlinear behavior of the laminated composite plates under transverse sinusoidal loading using a new inverse trigonometric shear deformation theory, where geometric nonlinearity in the Von-Karman sense is taken into account. In the present theory, in-plane displacements use an inverse trigonometric shape function to account the effect of transverse shear deformation. The theory satisfies the traction free boundary conditions and violates the need of shear correction factor. The governing equations of equilibrium and boundary conditions associated with present theory are obtained by using the principle of minimum potential energy. These governing equations are solved by eight nodded serendipity element having five degree of freedom per node. A square laminated composite plate is considered for the geometrically linear and nonlinear formulation. The numerical results are obtained for central deflections, in-plane stresses and transverse shear stresses. Finite element Codes are developed using MATLAB. The present results are compared with previously published results. It is concluded that the geometrically linear and nonlinear response of laminated composite plates predicted by using the present inverse trigonometric shape function is in excellent agreement with previously published results.

Vibration of multilayered functionally graded deep beams under thermal load

  • Bashiri, Abdullateef H.;Akbas, Seref D.;Abdelrahman, Alaa A.;Assie, Amr;Eltaher, Mohamed A.;Mohamed, Elshahat F.
    • Geomechanics and Engineering
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    • 제24권6호
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    • pp.545-557
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    • 2021
  • Since the functionally graded materials (FGMs) are used extensively as thermal barriers in many of applications. Therefore, the current article focuses on studying and presenting dynamic responses of multilayer functionally graded (FG) deep beams placed in a thermal environment that is not addressed elsewhere. The material properties of each layer are proposed to be temperature-dependent and vary continuously through the height direction based on the Power-Law function. The deep layered beam is exposed to harmonic sinusoidal load and temperature rising. In the modelling of the multilayered FG deep beam, the two-dimensional (2D) plane stress continuum model is used. Equations of motion of deep composite beam with the associated boundary conditions are presented. In the frame of finite element method (FEM), the 2D twelve-node plane element is exploited to discretize the space domain through the length-thickness plane of the beam. In the solution of the dynamic problem, Newmark average acceleration method is used to solve the time domain incrementally. The developed procedure is verified and compared, and an excellent agreement is observed. In numerical examples, effects of graduation parameter, geometrical dimension and stacking sequence of layers on the time response of deep multilayer FG beams are investigated with temperature effects.

Hermite 유동함수법에 의한 자연대류 유동 계산 (Computations of Natural Convection Flow Using Hermite Stream Function Method)

  • 김진환
    • 한국해양공학회지
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    • 제23권5호
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    • pp.1-8
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    • 2009
  • This paper is a continuation of the recent development on Hermite-based divergence free element method and deals with a non-isothermal fluid flow thru the buoyancy driven flow in a square enclosure with temperature difference across the two sides. The basis functions for the velocity field consist of the Hermite function and its curl while the basis functions for the temperature field consists of the Hermite function and its gradients. Hence, the number of degrees of freedom at a node becomes 6, which are the stream function, two velocities, the temperature and its x and y derivatives. This paper presents numerical results for Ra = 105, and compares with those from a stabilized finite element method developed by Illinca et al. (2000). The comparison has been done on 32 by 32 uniform elements and the degree of approximation of elements used for the stabilized finite element are linear (Deg. 1) and quadratic (Deg. 2). The numerical results from both methods show well agreements with those of De vahl Davi (1983).

Z-단면 복합재 스트링거의 크리플링 해석 (Crippling Analysis of Z-Section Composite Stringers)

  • 권진회
    • Composites Research
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    • 제12권6호
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    • pp.65-73
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    • 1999
  • 본 연구에서는 Z-단면 복합재 스트링거의 크리플링 응력 및 파손 거동을 비선형 유한요소법을 사용하여 해석하였다. 스트링거는 9절점 쉘요소를 사용하여 이상화하였다. 취성이 강한 재료에 적합한 완전제하 모델을 사용하여 초기 파손 이후 크리플링이 발생할 때까지의 점진적 파손해석을 수행하였다. 완전제하모델을 사용한 수치적 해석을 위해 수정된 Riks방법을 도입하였다. 해석의 타당성 검증을 위해 좌굴응력 크리플링 응력을 기존 시험결과와 비교하였다. 해석결과 Z-단면 스트링거의 크리플링 응력은 플렌지의 폭이 가장 큰 영향을 미치는 것으로 나타났고,적층순서에 따라서는 $[{\pm}45/0/90]s$에서 크리플링 응력 및 부분좌굴 응력이 가장 높게 나타났다.

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교량 말뚝기초 해석기법의 적용성 분석 (Application and Verification of Coupled Analysis of Piled Piers)

  • 원진오;정상섬
    • 한국지반공학회논문집
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    • 제21권4호
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    • pp.123-134
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    • 2005
  • 비선형 말뚝두부강성을 고려한 3차원 군말뚝기초 해석기법(YSGroup)을 개발하였으며 이를 기타 해석기법들(탄성 변위법, Croup 6.0, FBPier 3.0)과 비교${\cdot}$분석하였다. 본 해석기법은 말뚝캡을 평면쉘요소로, 교각은 3차원 보요소로, 그리고 개개 말뚝들은 보-기둥요소로 모델링 하였다. 교각 상단에 수평하중을 받는 $2\times2$배열 군말뚝기초에서 지반을 선형으로 가정한 경우를 대상으로 탄성변위법, Group 6.0, FBPier 3.0, 그리고 본 해석기법(YSGroup)을 이용하여 해석한 결과, 본 해석기법과 탄성변위법, Group 6.0은 서로 유사한 말뚝두부변위가 산정되었으나 FBPier 3.0는 다소 큰변위가 산정되었다. 지반의 비선형성이 고려된 상부구조물(교각)의 변위는 본 해석기법(YSGroup)과 FBPier 3.0을 통해 산정 가능하였는데, 이는 본 해석기법과 FBPier 3.0은 유한요소법을 이용하여 상부구조물을 직접 모델링하였기 때문이다. 말뚝두부조건이 힌지조건인 경우의 군말뚝은 말뚝캡의 과다한 회전이 발생할 가능성이 큼을 알 수 있었다.

위선암종에서 핵의 Retinoic Acid Receptor (RAR) 및 cAMP Response Element Binding Protein (CREB)의 면역조직화학적 발현양상 (The Immunohistochemical Expression of Nuclear Retinoid Receptor and CREB in Gastric Adenocarcinoma)

  • 한호선;김용석;박중민;최유신;차성재;김미경;지경천
    • Journal of Gastric Cancer
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    • 제8권4호
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    • pp.182-188
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    • 2008
  • 목적: 인체 내 여러 조직에서 상피세포의 분화 및 증식에 중요한 역할을 담당한다고 알려진 retinoic acid (RA)와 여러 유전자들에서 전사조절인자로 성장관여 유전자들의 활성화에 관여하며 세포증식 및 분화에 매우 중요한 세포내 조절인자인 CREB의 발현정도와 위선암종간의 상호 연관성 및 병리학적 인자들과의 관계를 관찰하였다. 대상 및 방법: 중앙대학교 의과대학 용산병원에서 1998년 1월부터 2007년 12월까지 위절제술을 시행 받고 위선암종으로 진단받은 환자의 위조직표본 중 보존상태가 양호한 파라핀 포매괴 150예를 연구대상으로 조직 표본에서 면역 조직화학적 염색을 통해 관찰하였다. 결과: 1. RAR의 발현은 장형 위선암종(72.2%)에서 미만형 위선암종(40.5%)보다 높게 나타났으며(P<0.01), 림프절 전이가 있는 경우(74.7%)가 림프절 전이가 없는 경우(49.2%)보다 의미 있는 발현양상을 나타냈다(P<0.01). 2. cAMP response element binding protein (CREB)의 발현은 장형 위선암종(69.4%)에서 미만형 위선암종(38.1%)보다 높게 나타났으며(P<0.01), 림프절 전이가 있는 경우(71.1%)가 림프절 전이가 없는 경우(47.8%)보다 높은 발현양상을 나타냈다(P<0.01). 3. 총 150예의 위선암종에서 RAR은 63.3% (95/150), CREB은 60.7%(91/150)에서 발현을 나타냈다(P<0.01). 결론: 이상의 결과로 RAR과 CREB은 조직학적 분화도 및 종양의 전이와 관련이 있고, 이들의 발현이 장형 위선암종에서의 생물학적 악성도에 관한 예후인자로서 관련이 있으나 이들의 발현이 위선암종에 미치는 생물학적 기전에 대한 추가 연구가 필요하다.

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Bridge load testing and rating: a case study through wireless sensing technology

  • Shoukry, Samir N.;Luo, Yan;Riad, Mourad Y.;William, Gergis W.
    • Smart Structures and Systems
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    • 제12권6호
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    • pp.661-678
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    • 2013
  • In this paper, a wireless sensing system for structural field evaluation and rating of bridges is presented. The system uses a wireless platform integrated with traditional analogue sensors including strain gages and accelerometers along with the operating software. A wireless vehicle position indicator is developed using a tri-axial accelerometer node that is mounted on the test vehicle, and was used for identifying the moving truck position during load testing. The developed software is capable of calculating the theoretical bridge rating factors based on AASHTO Load and Resistance Factor Rating specifications, and automatically produces the field adjustment factor through load testing data. The sensing system along with its application in bridge deck rating was successfully demonstrated on the Evansville Bridge in West Virginia. A finite element model was conducted for the test bridge, and was used to calculate the load distribution factors of the bridge deck after verifying its results using field data. A confirmation field test was conducted on the same bridge and its results varied by only 3% from the first test. The proposed wireless sensing system proved to be a reliable tool that overcomes multiple drawbacks of conventional wired sensing platforms designed for structural load evaluation of bridges.

Nonlinear dynamic analysis of reinforced concrete shell structures

  • Kim, T.H.;Park, J.G.;Choi, J.H.;Shin, H.M.
    • Structural Engineering and Mechanics
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    • 제34권6호
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    • pp.685-702
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    • 2010
  • In this paper, a nonlinear finite element procedure is presented for the dynamic analysis of reinforced concrete shell structures. A computer program, named RCAHEST (Reinforced Concrete Analysis in Higher Evaluation System Technology), was used. A 4-node flat shell element with drilling rotational stiffness was used for spatial discretization. The layered approach was used to discretize the behavior of concrete and reinforcement in the thickness direction. Material nonlinearity was taken into account by using tensile, compressive and shear models of cracked concrete and a model of reinforcing steel. The smeared crack approach was incorporated. The low-cycle fatigue of both concrete and reinforcing bars was also considered to predict a reliable dynamic behavior. The solution to the dynamic response of reinforced concrete shell structures was obtained by numerical integration of the nonlinear equations of motion using Hilber-Hughes-Taylor (HHT) algorithm. The proposed numerical method for the nonlinear dynamic analysis of reinforced concrete shell structures was verified by comparison of its results with reliable experimental and analytical results.

Prediction and analysis of optimal frequency of layered composite structure using higher-order FEM and soft computing techniques

  • Das, Arijit;Hirwani, Chetan K.;Panda, Subrata K.;Topal, Umut;Dede, Tayfun
    • Steel and Composite Structures
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    • 제29권6호
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    • pp.749-758
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    • 2018
  • This article derived a hybrid coupling technique using the higher-order displacement polynomial and three soft computing techniques (teaching learning-based optimization, particle swarm optimization, and artificial bee colony) to predict the optimal stacking sequence of the layered structure and the corresponding frequency values. The higher-order displacement kinematics is adopted for the mathematical model derivation considering the necessary stress and stain continuity and the elimination of shear correction factor. A nine noded isoparametric Lagrangian element (eighty-one degrees of freedom at each node) is engaged for the discretisation and the desired model equation derived via the classical Hamilton's principle. Subsequently, three soft computing techniques are employed to predict the maximum natural frequency values corresponding to their optimum layer sequences via a suitable home-made computer code. The finite element convergence rate including the optimal solution stability is established through the iterative solutions. Further, the predicted optimal stacking sequence including the accuracy of the frequency values are verified with adequate comparison studies. Lastly, the derived hybrid models are explored further to by solving different numerical examples for the combined structural parameters (length to width ratio, length to thickness ratio and orthotropicity on frequency and layer-sequence) and the implicit behavior discuss in details.