• 제목/요약/키워드: Adaptive finite element method

검색결과 171건 처리시간 0.024초

An Adaptive Tracking Controller for Vibration Reduction of Flexible Manipulator

  • Sung Yoon-Gyeoung;Lee Kyu-Tae
    • International Journal of Precision Engineering and Manufacturing
    • /
    • 제7권3호
    • /
    • pp.51-55
    • /
    • 2006
  • An adaptive tracking controller is presented for the vibration reduction of flexible manipulator employed in hazardous area by combining input shaping technique with sliding-mode control. The combined approach appears to be robust in the presence of severe disturbance and unknown parameter which will be estimated by least-square method in real time. In a maneuver strategy, it is found that a hybrid trajectory with a combination of low frequency mode and rigid-body mode results in better performance and is more efficient than the traditional rigid body trajectory alone which many researchers have employed. The feasibility of the adaptive tracking control approach is demonstrated by applying it to the simplified model of robot system. For the applications of the proposed technique to realistic systems, several requirements are discussed such as control stability and large system order resulted from finite element modeling.

Analytical and higher order finite element hybrid approach for an efficient simulation of ultrasonic guided waves I: 2D-analysis

  • Vivar-Perez, Juan M.;Duczek, Sascha;Gabbert, Ulrich
    • Smart Structures and Systems
    • /
    • 제13권4호
    • /
    • pp.587-614
    • /
    • 2014
  • In recent years the interest in online monitoring of lightweight structures with ultrasonic guided waves is steadily growing. Especially the aircraft industry is a driving force in the development of structural health monitoring (SHM) systems. In order to optimally design SHM systems powerful and efficient numerical simulation tools to predict the behaviour of ultrasonic elastic waves in thin-walled structures are required. It has been shown that in real industrial applications, such as airplane wings or fuselages, conventional linear and quadratic pure displacement finite elements commonly used to model ultrasonic elastic waves quickly reach their limits. The required mesh density, to obtain good quality solutions, results in enormous computational costs when solving the wave propagation problem in the time domain. To resolve this problem different possibilities are available. Analytical methods and higher order finite element method approaches (HO-FEM), like p-FEM, spectral elements, spectral analysis and isogeometric analysis, are among them. Although analytical approaches offer fast and accurate results, they are limited to rather simple geometries. On the other hand, the application of higher order finite element schemes is a computationally demanding task. The drawbacks of both methods can be circumvented if regions of complex geometry are modelled using a HO-FEM approach while the response of the remaining structure is computed utilizing an analytical approach. The objective of the paper is to present an efficient method to couple different HO-FEM schemes with an analytical description of an undisturbed region. Using this hybrid formulation the numerical effort can be drastically reduced. The functionality of the proposed scheme is demonstrated by studying the propagation of ultrasonic guided waves in plates, excited by a piezoelectric patch actuator. The actuator is modelled utilizing higher order coupled field finite elements, whereas the homogenous, isotropic plate is described analytically. The results of this "semi-analytical" approach highlight the opportunities to reduce the numerical effort if closed-form solutions are partially available.

Self-adaptive hp 유한요소법을 이용한 단.장노말 전기검층에서 손데의 편향 효과 수치모델링 (Simulation of eccentricity effects on short- and long-normal logging measurements using a Fourier-hp-finite-element method)

  • 남명진;;;황세호;박권규;이창현
    • 지구물리와물리탐사
    • /
    • 제13권1호
    • /
    • pp.118-127
    • /
    • 2010
  • 전기검층은 지층의 전기비저항을 측정하는 물리검층법으로 전극배열에 따른 전기비저항 변화에서 지층내의 수포화도를 평가하는데 이용된다. 전기검층은 시추공 효과 및 인접한 지층의 두께와 전기비저항 들에 의해 많은 영향을 받는다. 이러한 시추공 효과 및 인접 지층의 영향은 시추공 내에서 전기검층 손데가 중심으로부터 편향되었을 때 더 커진다. 노말검층 손데가 시추공 내에서 편향되었을 때, 단노말과 장노말 검층자료의 정확한 해석의 기초를 마련하기 위해 검층손데의 편향에 의한 전기검층 자료의 왜곡을 수치모델링을 이용하여 분석하였다. 이를 위해 노말검층 손데의 편향으로 인한 3차원적 기하학적 구조를 단순화 시킬 수 있는 새로운 좌표 체계를 제안하고, 이 좌표계에서 Fourier 급수 전개(Fourier series expansion)를 수행하였다. 여러 개의 서로 연동된 이차원 문제들을 풀기 위하여 이차원 hp goal-oriented high-order self-adaptive hp (h는 셀의 크기, p는 근사 차수를 의미) 유한요소법에 기초한 알고리즘을 적용하였다. 이 알고리즘은 모델링 영역 내에서 자동적으로 각 격자 셀에서의 h와 p를 바꿔가면서 최적의 격자를 생생하여 원하는 정밀도의 해를 도출할 수 있다. 수치모델링 결과, 이 연구에서 제안한 알고리즘으로 정확하고 신뢰성 있는 해를 얻을 수 있었다. 검층손데의 편향 영향은 시추공경이나 시추공 이수의 전기비저항이 큰 경우, 그리고 지층의 전기비저항이 낮은 경우에 큰 것을 알 수 있었다.

적응 확장 유한요소기법과 형상최적설계로의 응용 (An adaptive X-FEM and its application to shape optimization)

  • 유용균;허재성;;곽병만
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2007년도 춘계학술대회A
    • /
    • pp.538-543
    • /
    • 2007
  • A procedure is proposed to generate optimal grid with minimal user intervention while keeping a prescribed level of accuracy, using an adaptive X-FEM and applied to shape optimization. In spite of various advantages of X-FEM, however, there are several obstacles for practical applications. Because of using a uniform background mesh and additional degree of freedoms for enrichment, an X-FEM is usually computationally more expensive than traditional finite element method. Furthermore, there are often accuracy problems. For an automatic procedure of optimal mesh generation, an h-adaptive scheme and a posteriori error estimation obtained by a post-processing process are utilized. The procedure is shown by 2-D shape optimization examples.

  • PDF

삼차원 소성가공 공정 시뮬레이션을 위한 지능형 사면체 요소망 자동생성 (Automated Adaptive Tetrahedral Element Generation for Three-Dimensional Metal Forming Simulation)

  • 이민철;전만수
    • 소성∙가공
    • /
    • 제15권3호
    • /
    • pp.189-194
    • /
    • 2006
  • In this paper, an automated adaptive mesh generation scheme, based on an advancing-front-Delaunay method, is presented fur finite element simulation of three dimensional bulk metal farming processes. Basic approach is introduced in detail, including a surface meshing and volume meshing technique and a mesh density control scheme. The presented approach is applied to automatic forging simulation in order to evaluate the effect of the developed schemes. Comparison shows a good agreement between required mesh density and generated mesh density, implying that the presented approach is appropriate for automatic mesh generation in metal forming simulation.

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

  • Zhang, Wengang;Zhang, Runhong;Goh, Anthony. T.C.
    • Geomechanics and Engineering
    • /
    • 제16권6호
    • /
    • pp.577-588
    • /
    • 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.

Pollution 오차를 이용한 요소생성에 관한 연구 (A mesh generation based on the pollution error)

  • 유형선;편수범
    • 한국철도학회논문집
    • /
    • 제2권3호
    • /
    • pp.46-53
    • /
    • 1999
  • In this paper, made was a study on a mesh generation method based on the pollution error. This method is designed for the control of the pollution error in any patch of elements of interest. It is a well-known fact that the pollution error estimates are much more than the local one. When the pollution error is significant, nothing can be said about the reliability of any estimator based on local computations in the patch. Reliable a posteriori error estimation is possible by controlling the pollution error in the patch through proper design of the mesh outside the patch. This design is possible by equally distributing the pollution error indicators over the mesh outside the patch. The mesh generated from the conventional feedback pollution-adaptive mesh generation algorithm needs many iterations. Therefore, the solution time is significant. But the remeshing scheme in the proposed method was used here. It was shown that the pollution-adaptive mesh improves the E.I., simply denoted as Effectivity Index, on the patch of interest, and the pollution error reduces less than the local error.

  • PDF

응력집중문제의 해석을 위한 적응적 무요소절점법에 관한 연구 (A Meshless Method and its Adaptivity for Stress Concentration Problems)

  • 이상호;전석기;김효진
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1997년도 가을 학술발표회 논문집
    • /
    • pp.16-23
    • /
    • 1997
  • The Reproducing Kernel Particle Method (RKPM), one of the popular meshless methods, is developed and applied to stress concentration problems. Since the meshless methods require only a set of particles (or nodes) and the description of boundaries in their formulation, the adaptivity can be implemented with much more ease than finite element method. In addition, due to its intrinsic property of multiresolution, the shape function of RKPM provides us a new criterion for adaptivity. Recently, this multiple scale Reproducing Kernel Particle Method and its adaptive procedure have been formulated for large deformation problems by the authors. They are also under development for damage materials and localization problems. In this paper the multiple scale RKPM for linear elasticity is presented and the adaptive procedure is applied to stress concentration problems. Therefore, this work may be regarded as the edition of linear elasticity in the complete framework of multiple scale RKPM and the associated adaptivity.

  • PDF

순환적 분할에 의한 유한 요소망 자동 생성 알고리즘 (An Algorithm of Automatic Mesh Generation by Recursive Subdivisions)

  • 이재영
    • 전산구조공학
    • /
    • 제9권3호
    • /
    • pp.145-155
    • /
    • 1996
  • 이 논문은 평면 상의 영역 경계와 조절선(control curve)에 맞추어서 요소망을 자동 생성하는 알고리즘을 제시하는데 목적이 있다. 여기서 제안하는 알고리즘은 요소망 생성 영역의 경계와 조절선들을 하나의 수퍼 루프(super loop)로 연결하고, 루프(loop)위에 있는 두 절점을 연결하는 최소벌점(minimum penalty)의 경로를 따라서 순환적으로 분할하여 요소를 생성하는 기법에 바탕을 두고 있다. 이 방법은 요소망 생성영역의 형상에 제한이 없으며, 모든 과정을 쉽게 자동화 할 수 있기 때문에 복잡한 영역의 요소망을 최소한의 사용자 개입을 통해서 간편하게 처리할 수 있는 프로그램으로 쉽게 이행할 수 있다. 이 알고리즘은 곡면 요소망 생성이나, 적응적 요소망 생성등에 쉽게 확장하여 적용할 수 있다.

  • PDF

An adaptive meshfree RPIM with improved shape parameter to simulate the mixing of a thermoviscoplastic material

  • Zouhair Saffah;Mohammed Amdi;Abdelaziz Timesli;Badr Abou El Majd;Hassane Lahmam
    • Structural Engineering and Mechanics
    • /
    • 제88권3호
    • /
    • pp.239-249
    • /
    • 2023
  • The Radial Point Interpolation Method (RPIM) has been proposed to overcome the difficulties associated with the use of the Radial Basis Functions (RBFs). The RPIM has the following properties: Simple implementation in terms of boundary conditions as in the Finite Element Method (FEM). A less expensive CPU time compared to other collocation meshless methods such as the Moving Least Square (MLS) collocation method. In this work, we propose an adaptive high-order numerical algorithm based on RPIM to simulate the thermoviscoplastic behavior of a material mixing observed in the Friction Stir Welding (FSW) process. The proposed adaptive meshfree RPIM algorithm adapts well to the geometric and physical data by choosing a good shape parameter with a good precision. Our numerical approach combines the RPIM and the Asymptotic Numerical Method (ANM). A numerical procedure is also proposed in this work to automatically determine an improved shape parameter for the RBFs. The efficiency of the proposed algorithm is analyzed in comparison with an iterative algorithm.