• 제목/요약/키워드: displacement fields

검색결과 344건 처리시간 0.029초

면내회전자유도를 가지는 4절점 비적합 평면쉘의 개발 (A 4-Node Non-conforming Flat Shell Element with Drilling DOF)

  • 최창근;이필승
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.27-34
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    • 1998
  • A versatile flat shell element has been developed by combining a membrane element with drilling degree-of-freedom and a plate bending element. This element is formulated by the enhanced displacement field with the additional non-conforming displacement modes. Thus the element possesses six degrees-of-freedom (DOF) per node which permits an easy connection to other six DOF elements as well as the improvement of the element behavior. In plate bending part, this element is established by the combined use of the addition of non-conforming modes, the reduced (or selective) integration scheme, and the construction of the substitute shear strain fields. The achieved improvement may be attributable to the fact that the merits of these individual techniques are merged into the new element in a complementary manner. In membrane part, this element shows better membrane behavior as the nonconforming displacement mode is added to drilling mode.

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비대칭 박벽보에 대한 엄밀한 동적 강도행렬의 유도 (Derivation of Exact Dynamic Stiffness Matrix for Non-Symmetric Thin-walled Straight Beams)

  • 김문영;윤희택
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.369-376
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    • 2000
  • For the general loading condition and boundary condition, it is very difficult to obtain closed-form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. Consequently most of previous finite element formulations introduced approximate displacement fields using shape functions as Hermitian polynomials, isoparametric interpoation function, and so on. The purpose of this study is to calculate the exact displacement field of a thin-walled straight beam element with the non-symmetric cross section and present a consistent derivation of the exact dynamic stiffness matrix. An exact dynamic element stiffness matrix is established from Vlasov's coupled differential equations for a uniform beam element of non-symmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequencies are evaluated for the non-symmetric thin-walled straight beam structure, and the results are compared with available solutions in order to verify validity and accuracy of the proposed procedures.

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Stochastic elastic wave analysis of angled beams

  • Bai, Changqing;Ma, Hualin;Shim, Victor P.W.
    • Structural Engineering and Mechanics
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    • 제56권5호
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    • pp.767-785
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    • 2015
  • The stochastic finite element method is employed to obtain a stochastic dynamic model of angled beams subjected to impact loads when uncertain material properties are described by random fields. Using the perturbation technique in conjunction with a precise time integration method, a random analysis approach is developed for efficient analysis of random elastic waves. Formulas for the mean, variance and covariance of displacement, strain and stress are introduced. Statistics of displacement and stress waves is analyzed and effects of bend angle and material stochasticity on wave propagation are studied. It is found that the elastic wave correlation in the angled section is the most significant. The mean, variance and covariance of the stress wave amplitude decrease with an increase in bend angle. The standard deviation of the beam material density plays an important role in longitudinal displacement wave covariance.

등속 진전하는 이방성 이종재 접합계면 균열에 대한 연구 (A Study for Steadily Growing Interface Cracks in Anisotropic Dissimilar Materials)

  • 조상봉;김진광;유병국
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1477-1485
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    • 2003
  • The displacement vector field can be represented in terms of a scalar potential ${\phi}$ and a vector potential ${\phi}$. The scalar potential ${\phi}$ is related to dilatational waves and the vector potential ${\phi}$ is related to rotational waves. Using these two complex displacement potentials, the stress and displacement fields for steadily growing interface cracks in dissimilar materials are obtained. The energy release rate for steadily growing interface cracks in dissimilar materials are also obtained. And with photoelastic isochromatic patterns simulated by computer graphics, the stress intensity factors are discussed.

골반부 방사선 조사야 내의 소장 용적을 줄이기 위한 Small Bowel Displacement System(SBDS)의 사용 (Minimization of Small Bowel Volume within Treatment Fields Using Customized Small Bowel Displacement System(SBDS))

  • 임도훈;허승재;안용찬;김대용;우홍균;김문경;최동락;신경환
    • Radiation Oncology Journal
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    • 제15권3호
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    • pp.263-268
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    • 1997
  • 목적 : 저자들은 골반부 방사선 치료에 있어서 소장을 방사선 조사야 밖으로 밀어냄으로써 방사선치료로 인한 소장의 부작용을 최소화하고자 Small Bowel Displacement System (SBDS)을 만들어 환자 치료에 적용하였다. 대상 및 방법 : 1995년 5월부터 1996년 5월까지 SBDS를 이용하여 골반부에 방사선 치료를 받은 55명의 환자를 대상으로 하였다. SBDS는 환자의 하복부를 눌러줌으로써 골반부 내의 소장을 방사선 조사야 밖으로 밀어내는 Styrofoam compression device와 이로 인한 환자의 하복부 불편감을 줄이며 치료시 환자 자세의 안전성을 유지시키기 위해 환자 개개인별로 만든 Immobilization device로 구성된다. 모의치료시 소장을 조영제로 조영시킨 후 복와위 상태에서 SBOS를 사용하기 전과 사용한 후의 후방-전방 및 측방 촬영을 하여 방사선 조사야 내에 포함되는 조영제로 조영이 되는 소장의 면적을 측정하여 서로 비교하였다. 결과 : SBDS를 사용했을 때 사용전에 비하여 후방-전방 촬영 필름에서는 $59\%$의 소장이 그리고 측방 촬영 필름에서는 $51\%$의 소장이 방사선 조사야 밖으로 밀려났다(P=0.0001). 조영된 소장의 평균 상향 이동 거리는 4.8cm였으며, 55명의 환자중 단지 8명 $(15\%)$에서만 투약이 필요할 정도의 설사를 호소하였으며, 이로 인하여 방사선치료가 중단되거나 지연된 경우는 없었다. 결론: SBDS는 소장을 골반부 방사선 조사야 밖으로 효과적으로 밀어내는 기구로서 방사선 치료로 인한 소장의 부작용을 감소시키는 기구이다. 또한, 제작이 용이하며 환자 치료 자세의 높은 재현성을 보였다. SBDS를 사용한 환자에서 향후 방사선 만성 부작용의 발생 빈도 감소에 기여한다면 필요한 경우에 골반부에 조사하는 방사선량을 증가시켜 보다 향상된 치료효과를 기대할 수 있겠다.

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Several models for bending and buckling behaviors of FG-CNTRCs with piezoelectric layers including size effects

  • Heidari, Farshad;Afsari, Ahmad;Janghorban, Maziar
    • Advances in nano research
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    • 제9권3호
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    • pp.193-210
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    • 2020
  • In this research, beside presenting real images of produced Functionally Graded Carbon Nanotube-Reinforced Composites (FG-CNTRCs) and a brief review of the synthesis method of FG-CNTRCs, static and buckling analysis of FG-CNTRC with piezoelectric layers are investigated. It is assumed that the material properties of FG-CNTRC are varied through the thickness direction using four different distributions of Carbon Nanotubes (CNTs). To capture the size effects, nonlocal elasticity theory proposed by A.C. Eringen is also adopted in our model. One of the topics in our paper is using a higher order theory with eight different displacement fields and comparing their results with each other. To solve the governing equations, an analytical method is used to find the deflections and critical buckling loads of FG-CNTRCs. To show the accuracy of present methodology, our results are compared with the results of simply supported rectangular nano plates available in the literature. In this research, the effects of aspect ratio, piezoelectric layer and nonlocal parameter are also studied. It is hoped that this work leads to more accurate models on FG-CNTRC.

고차 지그재그 이론을 이용한 열_전기_기계 하중하의 스마트 복합재 쉘 구조물의 해석 (HIGHER ORDER ZIG-ZAG SHELL THEORY FOR SMART COMPOSITE STRUCTURES UNDER THERMO-ELECTRIC-MECHANICAL LOADING)

  • 오진호;조맹효
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 춘계학술발표대회 논문집
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    • pp.1-4
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    • 2005
  • A higher order zig-zag shell theory is developed to refine accurately predict deformation and stress of smart shell structures under the mechanical, thermal, and electric loading. The displacement fields through the thickness are constructed by superimposing linear zig-zag field to the smooth globally cubic varying field. Smooth parabolic distribution through the thickness is assumed in the transverse deflection in order to consider transverse normal deformation. The mechanical, thermal, and electric loading is applied in the sinusoidal distribution function in the in-surface direction. Thermal and electric loading is given in the linear variation through the thickness. Especially, in electric loading case, voltage is only applied in piezo-layer. The layer-dependent degrees of freedom of displacement fields are expressed in terms of reference primary degrees of freedom by applying interface continuity conditions as well as bounding surface conditions of transverse shear stresses. In order to obtain accurate transverse shear and normal stresses, integration of equilibrium equation approach is used. The numerical examples of present theory demonstrate the accuracy and efficiency of the proposed theory. The present theory is suitable for the predictions of behaviors of thick smart composite shell under mechanical, thermal, and electric loadings combined.

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Investigation of the effects of free-stream turbulence on wind-induced responses of tall building by Large Eddy Simulation

  • Li, Q.S.;Hu, G.;Yan, Bo-Wen
    • Wind and Structures
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    • 제18권6호
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    • pp.599-618
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    • 2014
  • In this study, a square rectangular tall building is considered to investigate the effects of turbulence integral length scale and turbulence intensity on the along-wind responses, across-wind responses and torsional responses of the tall building by Large Eddy Simulation (LES). A recently proposed inflow turbulence generator called the discretizing and synthesizing random flow generation (DSRFG) approach is applied to simulate turbulent flow fields. It has been proved that the approach is able to generate a fluctuating turbulent flow field satisfying any given spectrum, desired turbulence intensity and wind speed profiles. Five profiles of turbulence integral length scale and turbulence intensity are respectively generated for the inflow fields by the DSRFG approach for investigating the effects of turbulence integral length scale and turbulence intensity on the wind-induced responses of the tall building. The computational results indicate that turbulence integral length scale does not have significant effect on the along-wind (displacement, velocity and acceleration) responses, across-wind displacement and velocity responses, while the across-wind acceleration and torsional responses vary without a clear rule with the parameter. On the other hand, the along-wind, across-wind and torsional responses increase with the growth of turbulence intensity.

회전자유도를 갖는 비적합 8-절점 입체요소의 개선 (Improved Nonconforming 8-node Solid Element with Rotational Degrees of Freedom)

  • 최창근;정근영;이태열
    • 한국전산구조공학회논문집
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    • 제13권4호
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    • pp.475-484
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    • 2000
  • 본 연구에서는 찌그러진 요소에서의 휨거동 개선을 위한 추가적인 비적합변위형과 효율적인 비적합변위형의 수정방법의 개발을 통하여 기존 비적합 입체요소의 개선을 시도하였으며, 회전자유도가 독립변수로 존재하는 범함수를 이용하여 매개변수의 값에 따라 회전자유도의 도입유무가 결정되도록하는 입체요소를 개발하였다. 제시된 요소에서는 변위장과 회전장에 동일한 형상함수를 적용하였으며, 비적합변위형은 변위장에만 적용하였다. 다양한 예제를 통한 수치실험결과 개발된 요소는 양호한 거동을 보여주었으며, 특히 휨거동에 있어서 개선된 거동을 보였다.

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Two-dimensional nonconforming finite elements: A state-of-the-art

  • Choi, Chang-Koon;Kim, Sun-Hoon;Park, Young-Myung;Chung, Keun-Young
    • Structural Engineering and Mechanics
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    • 제6권1호
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    • pp.41-61
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    • 1998
  • A state-of-the-art report on the new finite elements formulated by the addition of nonconforming displacement modes has been presented. The development of a series improved nonconforming finite elements for the analysis of plate and shell structures is described in the first part of this paper. These new plate and shell finite elements are established by the combined use of different improvement schemes such as; the addition of nonconforming modes, the reduced (or selective) integration, and the construction of the substitute shear strain fields. The improvement achieved may be attributable to the fact that the merits of these improvement techniques are merged into the formation of the new elements in a complementary manner. It is shown that the results obtained by the new elements give significantly improved solutions without any serious defects such as; the shear locking, spurious zero energy mode for the linear as well as nonlinear benchmark problems. Recent developments in the transition elements that have a variable number of mid-side nodes and can be effectively used in the adaptive mesh refinement are presented in the second part. Finally, the nonconforming transition flat shell elements with drilling degrees of freedom are also presented.