• 제목/요약/키워드: Infinite element

검색결과 330건 처리시간 0.025초

유체로 연성된 동일한 두 직사각 평판의 고유진동 해석 (Free Vibration Analysis of Two Identical Rectangular Plates Coupled with Fluid)

  • 정경훈;이성철;유계형
    • 한국안전학회지
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    • 제17권2호
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    • pp.8-15
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    • 2002
  • In order to investigate the vibration characteristics of fluid-structure interaction problem, we modeled two identical rectangular plates coupled with fluid. A commercial computer code, ANSYS was used to perform finite element analysis and FEM solutions were compared with the experimental results to verify the finite element model. As a result, comparison of FEM and experiment showed good agreement, and the transverse vibration modes, in-phase and out-of-Phase, were observed alternately in the fluid-coupled system. The effect of fluid gap size on the fluid-coupled natural frequency were investigated. It was shown that the mode numbers increased, the normalized natural frequencies monotonically increased. And it was also found that an increase of the fluid gap reduced the coupled natural frequencies for the in-phase modes but increased the coupled natural frequencies for the out-of phase modes, and eventually converged to the results of an infinite fluid gap.

공액근사개념과 Loubignac의 반복계산법을 이용한 국부응력장 개선에 대한 연구 (A study on the improvement of the local stress field using the theory of conjugate approximations and loubignac's iterative method)

  • 송기남
    • 대한기계학회논문집A
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    • 제21권10호
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    • pp.1598-1608
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    • 1997
  • Based on the application of te theory of conjugate approximations and the Loubignac's iterative method in a local region, a method to improve the stress filed in a displacement-formulated finite element solution has been proposed. The validity of the proposed method has been tested through two examples : a thick cylinder under internal pressure loading and an infinite plate with a central circular hole subjected to uniaxial tension. As a result of analysis of the examples, it was found that the stress field obtained for the local region model by the proposed method approximates well for the whole domain model. In addition, it was found that because of a significant decrease in the computing time to obtain the improved stress field, the proposed method is efficient and useful for the detailed stress analysis in local regions.

전달행렬법을 이용하여 폭이 테이퍼진 회전하는 외팔보의 정확한 굽힘 진동해석 (Exact Solution for Bending Vibration of Rotating Cantilever Beam with Tapered Width Using Transfer Matrix Method)

  • 이정우;곽종훈;이정윤
    • 한국소음진동공학회논문집
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    • 제26권1호
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    • pp.75-81
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    • 2016
  • In this study, a transfer matrix method in which can produce an infinite number of accurate natural frequencies using a single element for the bending vibration of rotating Bernoulli-Euler beam with linearly reduced width, is developed. The roots of the differential equation in the proposed method are calculated using the Frobenius method in the power series solution. To demonstrate the accuracy of the method, the calculated natural frequencies are compared with the results given by using the commercial finite element analysis program(ANSYS), and the comparison results between these two methods show the excellent agreement. Based on the comparison results, a parametric study is performed to investigate the effect of the centrifugal forces on the non-dimensional natural frequencies for rotating beam with the variable width.

유한요소법을 이용한 LSP 표면처리 공정의 잔류응력 예측 (Residual Stress Prediction in LSP Surface Treatment by Using FEM)

  • 방부운;손승길;김재민;조종두
    • 대한기계학회논문집A
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    • 제33권8호
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    • pp.767-772
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    • 2009
  • Laser shock peening(LSP) is proving to be better surface treatment than conventional one such as shot peening. The LSP process has a compressive residual stress into a metal alloy and a significant improvement in fatigue life. Our research is focused on applying finite element method to the prediction of residual stress through the LSP processing in some LSP conditions such as pressure and spot size induced by laser. Two analysis methods are considered to calculating the compressive residual stress. But the explicit solution and the static one after partially explicit solving are almost same. In LSP, because of very high strain rate($10^6s^{-1}$), HEL(Hugoniot Elastic Limit) is the most important parameter in material behavior modeling. As the circular laser spot is considered, 2-D axisymmetric elements are used and the infinite elements are applied to boundaries for no reflection. The relations of material properties and the LSP are also important parts in this study.

베어링-축 조립체에서 축의 셰이크다운에 관한 연구 (Shakedown Analysis of Shaft in Bearing-Shaft Assembly)

  • 박흥근;박진무;오윤찬
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1740-1747
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    • 2000
  • Under repeated rolling, initial plastic deformation introduces residual stresses which render the steady cyclic state purely elastic. This is called the process of shakedown. Many studies have been done about the shakedown in semi-infinite half space using calculated Hertizian pressure. In this paper shakedown processes in a shaft are studied by finite element analyses of a two dimensional(plane strain) model with elastic-linear-kinematic-hardening-plastic material subjected to repeated, frictionless rolling contact. Symmetric and non-symmetric pressure distributions are obtained using a simplified model of the bearing-shaft assembly. The rolling contact is simulated by repeatedly translating both pressure distributions along the surface of the shaft. By the influence of the non-symmetric pressure, larger residual radial tensile stress is generated in the immediate subsurface layer, which may make a crack propagate and, the subsurface undergoes a zigzag plastic deformation during the shakedown process, which may lead to a crack initiation.

3차원 혼성 유한요소법을 이용한 전파흡수체의 전파 특성 해석 (Full Wave Analysis of EM Absorbers Using 3D Hybrid Finite Element Method)

  • 정영춘;김병욱;박동철
    • 한국전자파학회논문지
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    • 제10권3호
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    • pp.440-448
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    • 1999
  • 본 논문에서는 무한 주기구조로 근사할 수 있는 전파 흡수체의 전파특성을 혼성 유한요소법을 이용하여 해석한 결과를 기술하였다. 가상의 경계면을 설정하여 유한한 영역을 정의하였고, 영역의 각각의 경계면에서 유효한 경계조건을 Floquet 이론으로부터 유도하였다. 고차 Floquet 모드가 사용되었으므로, 본 논문에서의 방법은 파장에 비교할 수 있을 정도로 큰 주기를 가진 구조의 경우에도 적용이 가능하다. 표면적분 계산의 어려움을 줄이기 위해 표면에 수직인 전자계 성분을 표면에 수평인 성분으로 표현하였다. 계산된 결과를 해석적인 해 또는 기존에 발표된 결과와 비교하여 해석의 유효성을 증명하였다.

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버블패킹방법을 이용한 2차원 자동격자 생성 및 재구성 알고리듬 개발(I) -선형 해석- (Development of Algorithm for 2-D Automatic Mesh Generation and Remeshing Technique Using Bubble Packing Method (I) -Linear Analysis-)

  • 정순완;김승조
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.1004-1014
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    • 2001
  • The fully automatic algorithm from initial finite element mesh generation to remeshing in two dimensional geometry is introduced using bubble packing method (BPM) for finite element analysis. BPM determines the node placement by force-balancing configuration of bubbles and the triangular meshes are made by Delaunay triangulation with advancing front concept. In BPM, we suggest two node-search algorithms and the adaptive/recursive bubble controls to search the optimal nodal position. To use the automatically generated mesh information in FEA, the new enhanced bandwidth minimization scheme with high efficiency in CPU time is developed. In the remeshing stage, the mesh refinement is incorporated by the control of bubble size using two parameters. And Superconvergent Patch Recovery (SPR) technique is used for error estimation. To verify the capability of this algorithm, we consider two elasticity problems, one is the bending problem of short cantilever beam and the tension problem of infinite plate with hole. The numerical results indicate that the algorithm by BPM is able to refine the mesh based on a posteriori error and control the mesh size easily by two parameters.

Examination of contact problem between functionally graded punch and functionally graded layer resting on elastic plane

  • Polat, Alper
    • Structural Engineering and Mechanics
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    • 제78권2호
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    • pp.135-143
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    • 2021
  • In this study, continuous contact problem in the functionally graded (FG) layer loaded with a FG flat punch resting on the elastic semi-infinite plane was analyzed by the finite element method (FEM). It was assumed that the shear modulus and density of the layer and punch varied according to exponentially throughout their depth. FG layer's weight was included to the problem and additionally all surfaces were considered as frictionless. Analysis of FG materials was performed with a special macro which was added to the ANSYS program. Firstly, the shear modulus of the punch was considered to be very rigid and the results of initial separation load (λcr) and distance (xcr) were compared with the analytical solution. Afterwards, results obtained from the contact analysis made according to the inhomogeneity parameters (β, γ) between FG punch-FG layer which had been unprecedented in the literature were discussed. As a result, FG punch's stress values at the punch edges where stress accumulations occurred were found to be smaller than the rigid punch. The security of the structure, longer life of the material and ease of production are directly related to the reduction of the stress values. The results obtained in this study are important in this respect. Also this work is the first study that investigates the effect of FG punch on the FG layer.

Research of the crack problem of a functionally graded layer

  • Murat Yaylaci;Ecren Uzun Yaylaci;Muhittin Turan;Mehmet Emin Ozdemir;Sevval Ozturk;Sevil Ay
    • Steel and Composite Structures
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    • 제50권1호
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    • pp.77-87
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    • 2024
  • In this study, the two-dimensional crack problem was investigated by using the finite element method (FEM)-based ANSYS package program and the artificial neural network (ANN)-based multilayer perceptron (MLP) method. For this purpose, a half-infinite functionally graded (FG) layer with a crack pressed through two rigid blocks was analyzed using FEM and ANN. Mass forces and friction were neglected in the solution. To control the validity of the crack problem model exercised, the acquired results were compared with a study in the literature. In addition, FEM and ANN results were checked using Root Mean Square Error (RMSE) and coefficient of determination (R2), and a well agreement was found. Numerical solutions were made considering different geometric parameters and material properties. The stress intensity factor (SIF) was examined for these values, and the results were presented. Consequently, it is concluded that the considered non-dimensional quantities have a noteworthy influence on the SIF. Also FEM and ANN can be logical alternative methods to time-consuming analytical solutions if used correctly.

해밀토니안의 시간 불연속 변분적분기를 이용한 2차원 탄소성 응력파 해석 (Analysis of 2-Dimensional Elasto-Plastic Stress by a Time-Discontinuous Variational Integrator of Hamiltonian)

  • 조상순;허훈;박광춘
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2008년도 추계학술대회 논문집
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    • pp.263-266
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    • 2008
  • This paper is concerned with the analysis of elasto-plastic stress waves in a mode I semi-infinite cracked solid subjected to Heaviside pulse load. This study adopts a time-discontinuous variational integrator based on Hamiltonian in order to reduce the numerical dispersive and dissipative errors. This also utilizes an integration scheme of the constitutive model with 2nd-order accuracy which is formulated on the strain space for a rate and temperature dependent material model. Finite element analyses of elasto-plastic stress waves are carried out in order to compare the accuracy between a conventional Galerkin method and the time- discontinuous variational integrator.

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