• Title/Summary/Keyword: adaptive finite element analysis

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A Cooled Deformable Bimorph Mirror for a High Power Laser

  • Lee Jun-Ho;Lee Young-Cheol;Kang Eung-Cheol
    • Journal of the Optical Society of Korea
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    • v.10 no.2
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    • pp.57-62
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    • 2006
  • Adaptive optics (AO) has been applied in various fields including astronomy, ophthalmology and high power laser systems. An adaptive optics system for a high power laser is not significantly different from other AO systems in the point of configuration except that high energy absorbed by the deformable mirror distorts the deformable mirror surface and so degrades system performance. Currently we are researching a bimorph deformable mirror for beam cleaning of a high power class laser. The bimorph mirror was considered to have 99% reflective coating and 1% absorption. So this paper first presents the temperature profiles and corresponding thermal distortions of the bimorph mirror faceplate when the mirror is under a high power lasing for 10 seconds. The analysis was accomplished by the use of finite difference and finite element computer programs to generate the element arrays, calculate the temperature profiles, and determine the structural deformations. Then this paper proposes an 'embedded wafer' type water-cooling system with derived cooling parameters.

p-Adaptive Mesh Refinement of Plate Bending Problem by Modified SPR Technique (수정 SPR 기법에 의한 휨을 받는 평판문제의 적응적 p-체눈 세분화)

  • Jo, Jun-Hyung;Lee, Hee-Jung;Woo, Kwang-Sung
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.481-486
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    • 2007
  • The Zienkiewicz-Zhu(Z/Z) error estimate is slightly modified for the hierarchical p-refinement, and is then applied to L-shaped plates subjected to bending to demonstrate its effectiveness. An adaptive procedure in finite element analysis is presented by p-refinement of meshes in conjunction with a posteriori error estimator that is based on the superconvergent patch recovery(SPR) technique. The modified Z/Z error estimate p-refinement is different from the conventional approach because the high order shape functions based on integrals of Legendre polynomials are used to interpolate displacements within an element, on the other hand, the same order of basis function based on Pascal's triangle tree is also used to interpolate recovered stresses. The least-square method is used to fit a polynomial to the stresses computed at the sampling points. The strategy of finding a nearly optimal distribution of polynomial degrees on a fixed finite element mesh is discussed such that a particular element has to be refined automatically to obtain an acceptable level of accuracy by increasing p-levels non-uniformly or selectively. It is noted that the error decreases rapidly with an increase in the number of degrees of freedom and the sequences of p-distributions obtained by the proposed error indicator closely follow the optimal trajectory.

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An Adaptive Finite Element Method for Semiconductor Device Analysis (반도체 소자 해석을 위한 적응 유한요소법)

  • 최경;경종민;한민구;함송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.4
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    • pp.205-213
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    • 1988
  • It has been very difficult to solve the semiconductor problems by numerical analysis techique due to the strong nonlinearity of the governing equations. Thus, we proposed a double structured adaptive refinement scheme to the finite element analysis of semiconductor devices, which guarantees a succesive convergency and gives better quality to the solutions.i.e., in the first step, the main factor of divergence in the current continuity equation is eliminated and the next, the solution quality is improved by reducing the discontinuity of current. The result of test application to the GaAs MESFET model shows that the proposed method is much dffective and efficient in the numerical analysis of semiconductor.

A Study on the r-h methods in Finite Element Analysis (유한요소해석에서 r-h형 적응법에 관한 연구)

  • 김동일;유형선
    • Computational Structural Engineering
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    • v.6 no.3
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    • pp.125-137
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    • 1993
  • Recently, many researches are being dealt with the adaptive method for improving the accuracy of finite element solution. This paper deals with rh-methods that are the combination of r and h-method ; r-method is to relocate the nodes for the grid optimization, h-method is to divide the elements with great error into the equal shape. As a results, rh-method has the same error decrease and convergence as h-method in the same degree of freedom, but it has more exact result of finite element in the state of restraining degrees of freedom than h-method alone.

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Adaptive Delaunay Mesh Generation Technique Based on a Posteriori Error Estimation and a Node Density Map (오차 예측과 격자밀도 지도를 이용한 적응 Delaunay 격자생성방법)

  • 홍진태;이석렬;박철현;양동열
    • Transactions of Materials Processing
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    • v.13 no.4
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    • pp.334-341
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    • 2004
  • In this study, a remeshing algorithm adapted to the mesh density map using the Delaunay mesh generation method is developed. In the finite element simulation of forging process, the numerical error increases as the process goes on because of discrete property of the finite elements and distortion of elements. Especially, in the region where stresses and strains are concentrated, the numerical error will be highly increased. However, it is not desirable to use a uniformly fine mesh in the whole domain. Therefore, it is necessary to reduce the analysis error by constructing locally refined mesh at the region where the error is concentrated such as at the die corner. In this paper, the point insertion algorithm is used and the mesh size is controlled by using a mesh density map constructed with a posteriori error estimation. An optimized smoothing technique is adopted to have smooth distribution of the mesh and improve the mesh element quality.

Numerical Study of Ablation Phenomena of Flame Deflector

  • Lee, Wonseok;Yang, Yeongrok;Shin, Sangmok;Shin, Jaecheol
    • Journal of Aerospace System Engineering
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    • v.15 no.6
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    • pp.10-18
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    • 2021
  • A flame deflector prevents a launch system from thermal damage by deflecting the exhaust flame of the launch vehicle. During the deflection of the flame, the flame deflector is subjected to a high-temperature and high-pressure flow, which results in thermal ablation damage at the surface. Predicting this ablation damage is an essential requirement to ensure a reliable design. This paper introduces a numerical method for predicting the ablation damage phenomena based on a one-way fluid-structure interaction (FSI) analysis. In the proposed procedure, the temperature and convective heat transfer coefficient of the exhaust flame are calculated using a fluid dynamics analysis, and then the ablation is calculated using a finite element analysis (FEA) based on the user-subroutine UMESHMOTION and Arbitrary Lagrangian-Eulerian (ALE) adaptive mesh technique in ABAQUS. The result of such an analysis was verified by comparison to the ablation test result for a flame deflector.

Finite Element Springback Analysis of Vertically-Walled Auto-Body Part (수직벽을 가진 자동차 부품 성형공정의 스프링백 유한요소 해석)

  • 이두환;윤치상;신철수;조원석;구본영;금영탁
    • Transactions of Materials Processing
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    • v.9 no.6
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    • pp.574-581
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    • 2000
  • A vertically-walled auto-body part is one of the most difficult stamping parts because of angle change, wall curl, and twisting of the blank after springback as well as fracture and wrinkle. In this study, computational simulations of the vertically-walled auto-body part are carried out focusing on angle change, wall curl, and twisting after springback. Binderwrap blank shape is used in forming analysis for precise initial contacts between punch and blank. An adaptive mesh method is used in springback analysis for precise calculation of bending moments. In springback analysis, the differences of 2 and 3 dimensional analysis are compared and the effects of blank holdig force and friction coefficient are evaluated. In order to verify the validity of simulation results, they are compared with measured ones. The predicted thickness distribution and formed shape are agreed well with those of the measurement. The Predicted springback amount is less than that of the measurement.

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Adaptive Wavelet-Galerkin Method for Structural Ananlysis (구조해석을 위한 적응 웨이블렛-캘러킨 기법)

  • Kim, Yun-Yeong;Jang, Gang-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.2091-2099
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    • 2000
  • The object of the present study is to present an adaptive wavelet-Galerkin method for the analysis of thin-walled box beam. Due to good localization properties of wavelets, wavelet methods emerge as alternative efficient solution methods to finite element methods. Most structural applications of wavelets thus far are limited in fixed-scale, non-adaptive frameworks, but this is not an appropriate use of wavelets. On the other hand, the present work appears the first attempt of an adaptive wavelet-based Galerkin method in structural problems. To handle boundary conditions, a fictitous domain method with penalty terms is employed. The limitation of the fictitious domain method is also addressed.

Adaptive Mesh Refinement for Dealing with Shock Wave Analysis (폭발현상 해석을 위한 적응적 요소망 생성)

  • Jun, Yongtae;Lee, Minhyung
    • Korean Journal of Computational Design and Engineering
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    • v.18 no.6
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    • pp.461-469
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    • 2013
  • Computer simulation with FEM is very useful to analyze hypervelocity impact phenomena that are tremendously expensive or otherwise too impractical to analyze experimentally. Shock physics can be efficiently handled by mesh adaptation which allows finite element mesh to be locally optimized to resolve moving shock wave in explosion. In this paper, an adaptive meshing technique based upon quadtree data structure was applied to resolve ballistic impact phenomena. The technique can adaptively refine a mesh in the neighborhood of a shock and coarsen the mesh for the smooth flow behind the shock according to a criterion. The criterion for refinement and coarsening is based upon the standard deviation of the gradient of shock pressure on the associated field. Shock simulation starts with the rough mesh of the pressure field and mesh density is increased locally under the criterion at each time step. The results show that the mesh adaptation enables to minimize the global computation error of FEM and to increase storage and computational saving compared to the fixed resolution of the conventional static mesh approach.

MARS inverse analysis of soil and wall properties for braced excavations in clays

  • Zhang, Wengang;Zhang, Runhong;Goh, Anthony. T.C.
    • Geomechanics and Engineering
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    • v.16 no.6
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    • pp.577-588
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    • 2018
  • A major concern in deep excavation project in soft clay deposits is the potential for adjacent buildings to be damaged as a result of the associated excessive ground movements. In order to accurately determine the wall deflections using a numerical procedure such as the finite element method, it is critical to use the correct soil parameters such as the stiffness/strength properties. This can be carried out by performing an inverse analysis using the measured wall deflections. This paper firstly presents the results of extensive plane strain finite element analyses of braced diaphragm walls to examine the influence of various parameters such as the excavation geometry, soil properties and wall stiffness on the wall deflections. Based on these results, a multivariate adaptive regression splines (MARS) model was developed for inverse parameter identification of the soil relative stiffness ratio. A second MARS model was also developed for inverse parameter estimation of the wall system stiffness, to enable designers to determine the appropriate wall size during the preliminary design phase. Soil relative stiffness ratios and system stiffness values derived via these two different MARS models were found to compare favourably with a number of field and published records.