• 제목/요약/키워드: Computational mechanics

검색결과 744건 처리시간 0.024초

2차원 균열판의 p-적응적 유한요소해석을 위한 정규크리깅 보간법의 적용 (Application of Ordinary Kriging Interpolation Method for p-Adaptive Finite Element Analysis of 2-D Cracked Plates)

  • 우광성;조준형;박미영
    • 한국전산구조공학회논문집
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    • 제19권4호
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    • pp.429-440
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    • 2006
  • 이 연구의 목적은 두 가지로 대별할 수 있다. 첫째는, 베리오그램 모델링에 기초를 둔 정규크리깅 보간법의 p-적응적 유한요소법으로의 적용성이다. 둘째는, 수정된 초수렴 팻취복구 기법을 사용한 사후오차평가기와 연계된 계층적 p-체눈 세분화의 적응적 유한요소 과정을 제시하는 것이다. 가중치를 부여한 보간기법중의 하나인 정규크리깅 방법은 가우스 적분점에서의 응력데이타로 부터 소위 준정해를 얻는데 적용된다. 가중치를 동일하게 가정하는 종래의 보간기법과는 달리 실험적 및 이론적 베리오그램을 작성한 후 보간을 위한 가중치를 결정하게 된다. 한편, 적응적 p-체눈 세분화는 해석영역의 각 체눈에서 p-차수를 만족할만한 정확도를 얻을 수 있도록 프로그램내에서 자동으로 사후오차평가를 통해 불균등 또는 선택적으로 증가시킨다. 수정된 초수렴 팻취복구기법을 검증하기 위해 극한치를 사용한 새로운 오차평가기가 제안된다. 제안된 알고리즘의 정당성은 선형탄성파괴역학의 대표적 문제들인 중앙균열판, 일변균열 및 양변균열 해석을 통해 테스트되었다.

Fatigue life prediction based on Bayesian approach to incorporate field data into probability model

  • An, Dawn;Choi, Joo-Ho;Kim, Nam H.;Pattabhiraman, Sriram
    • Structural Engineering and Mechanics
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    • 제37권4호
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    • pp.427-442
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    • 2011
  • In fatigue life design of mechanical components, uncertainties arising from materials and manufacturing processes should be taken into account for ensuring reliability. A common practice is to apply a safety factor in conjunction with a physics model for evaluating the lifecycle, which most likely relies on the designer's experience. Due to conservative design, predictions are often in disagreement with field observations, which makes it difficult to schedule maintenance. In this paper, the Bayesian technique, which incorporates the field failure data into prior knowledge, is used to obtain a more dependable prediction of fatigue life. The effects of prior knowledge, noise in data, and bias in measurements on the distribution of fatigue life are discussed in detail. By assuming a distribution type of fatigue life, its parameters are identified first, followed by estimating the distribution of fatigue life, which represents the degree of belief of the fatigue life conditional to the observed data. As more data are provided, the values will be updated to reduce the credible interval. The results can be used in various needs such as a risk analysis, reliability based design optimization, maintenance scheduling, or validation of reliability analysis codes. In order to obtain the posterior distribution, the Markov Chain Monte Carlo technique is employed, which is a modern statistical computational method which effectively draws the samples of the given distribution. Field data of turbine components are exploited to illustrate our approach, which counts as a regular inspection of the number of failed blades in a turbine disk.

Mechanical characterization of an epoxy panel reinforced by date palm petiole particle

  • Bendada, A.;Boutchicha, D.;Khatir, S.;Magagnini, E.;Capozucca, R.;Wahab, M. Abdel
    • Steel and Composite Structures
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    • 제35권5호
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    • pp.627-634
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    • 2020
  • The past years were marked by an increase in the use of wood waste in civil and mechanical constructions. Date palm waste remains also one of the most solicited renewable and recyclable natural resources in the composition of composite materials. In Algeria, a great amount of this type of plant wastes accumulates every year. In order to make use of this waste, a new wood-epoxy composite material based on date palm petiole particleboard is developed. It makes use of date palm petiole particleboard as reinforcement and epoxy resin as matrix. The size of the particles reinforcement are between 1~3 mm and proportion of reinforcement used is 37%. In this work, experimental and numerical studies are conducted in order to characterize the wood fibre-epoxy plates. Firstly, experimental modal analysis test was carried out to determine Young's modulus of the elaborated material. Then, in order to validate the results, compression test was conducted. Furthermore, additional information about the shear modulus of this material is obtained by performing an experimental modal analysis to extract the first torsional mode. Moreover, a finite element model is developed using ANSYS software to simulate the vibration behaviour of the plates. The results show a good agreement with the experimental modal analysis, which confirms the values of Young's modulus and shear modulus.

Subsidence estimation of breakwater built on loosely deposited sandy seabed foundation: Elastic model or elasto-plastic model

  • Shen, Jianhua;Wu, Huaicheng;Zhang, Yuting
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제9권4호
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    • pp.418-428
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    • 2017
  • In offshore area, newly deposited Quaternary loose seabed soils are widely distributed. There are a great number of offshore structures has been built on them in the past, or will be built on them in the future due to the fact that there would be no very dense seabed soil foundation could be chosen at planed sites sometimes. However, loosely deposited seabed foundation would bring great risk to the service ability of offshore structures after construction. Currently, the understanding on wave-induced liquefaction mechanism in loose seabed foundation has been greatly improved; however, the recognition on the consolidation characteristics and settlement estimation of loose seabed foundation under offshore structures is still limited. In this study, taking a semi-coupled numerical model FSSI-CAS 2D as the tool, the consolidation and settlement of loosely deposited sandy seabed foundation under an offshore breakwater is investigated. The advanced soil constitutive model Pastor-Zienkiewics Mark III (PZIII) is used to describe the quasi-static behavior of loose sandy seabed soil. The computational results show that PZIII model is capable of being used for settlement estimation problem of loosely deposited sandy seabed foundation. For loose sandy seabed foundation, elastic deformation is the dominant component in consolidation process. It is suggested that general elastic model is acceptable for subsidence estimation of offshore structures on loose seabed foundation; however, Young's modulus E must be dependent on the confining effective stress, rather than a constant in computation.

컴퓨터 그래픽스 특수효과를 위한 유체시뮬레이션 기법들 (FLUID SIMULATION METHODS FOR COMPUTER GRAPHICS SPECIAL EFFECTS)

  • 정문열
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2009년 추계학술대회논문집
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    • pp.1-1
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    • 2009
  • In this presentation, I talk about various fluid simulation methods that have been developed for computer graphics special effects since 1996. They are all based on CFD but sacrifice physical reality for visual plausability and time. But as the speed of computer increases rapidly and the capability of GPU (graphics processing unit) improves, methods for more physical realism have been tried. In this talk, I will focus on four aspects of fluid simulation methods for computer graphics: (1) particle level-set methods, (2) particle-based simulation, (3) methods for exact satisfaction of incompressibility constraint, and (4) GPU-based simulation. (1) Particle level-set methods evolve the surface of fluid by means of the zero-level set and a band of massless marker particles on both sides of it. The evolution of the zero-level set captures the surface in an approximate manner and the evolution of marker particles captures the fine details of the surface, and the zero-level set is modified based on the particle positions in each step of evolution. (2) Recently the particle-based Lagrangian approach to fluid simulation gains some popularity, because it automatically respects mass conservation and the difficulty of tracking the surface geometry has been somewhat addressed. (3) Until recently fluid simulation algorithm was dominated by approximate fractional step methods. They split the Navier-Stoke equation into two, so that the first one solves the equation without considering the incompressibility constraint and the second finds the pressure which satisfies the constraint. In this approach, the first step introduces error inevitably, producing numerical diffusion in solution. But recently exact fractional step methods without error have been developed by fluid mechanics scholars), and another method was introduced which satisfies the incompressibility constraint by formulating fluid in terms of vorticity field rather than velocity field (by computer graphics scholars). (4) Finally, I want to mention GPU implementation of fluid simulation, which takes advantage of the fact that discrete fluid equations can be solved in parallel.

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절리거동의 탄소성해석에서 소성유동법칙의 역할 (The Role of the Plastic Flow Rules in the Elasto-Plastic Formulation of Joint behaviour)

  • 이연규
    • 터널과지하공간
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    • 제10권2호
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    • pp.173-179
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    • 2000
  • 절리면의 전단거동에서 나타나는 응력 및 변위의 비선형 특성을 탄소성해석에 의해 모사하는 경우 소성유동법칙이 해석결과에 미치는 영향을 검토하였다. Plesha의 절리구성모델을 적용하여 일정수직응력조건과 일정수직변위조건에서 수치직접전단시험을 실시하였다. 연상유동법칙을 적용하면 과도한 수직팽창이 예측되는 반면에 비연상유동법칙을 적용한 해석은 실제 절리거동을 잘 모사하고 있음을 보였다. 비연상유동법칙의 적용으로 강성행렬이 비대칭이 피는 단점을 보완하기 위해 비연상유동법칙을 적용하는 경우라도 요소의 접선강성행렬을 대칭화시키는 수치해석 기법이 제안되었다. 본래의 절리면과 동일한 소성변형을 일으키지만 연상유동법칙을 따르는 등가의 절리면을 가정함으로써 대칭인 탄소성행렬을 유도하였다. 일정수직음력조건에서 수티 직접전단시험을 실시하여 제안된 강성행렬 대칭화 기법의 유효성을 검증하였다.

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장대 수직 환기구를 통한 매연 확산의 모델링 연구 (Modeling of Smoke Dispersion through a Long Vertical Duct)

  • Yoon, Sung-Wook
    • 터널과지하공간
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    • 제13권4호
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    • pp.287-293
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    • 2003
  • 장대 수직 환기구는 지하공간에서 화재 발생시 매연을 지상으로 배출해 내기 위한 필수적 설치물이다. 현재 널리 사용되는 이층 존(zone) 모델은 기본 가정이 제한적임으로 인해 장대 수직 환기구에서의 매연유동을 해석하는데 부적합하다. 그러므로 그 대안으로서 전산유체역학에 기초한 필드 모델의 적용성이 검토되었다. 전산모델의 유효성을 조사하기 위해 이미 발표된 기존의 실험과 유사한 구조를 선택하여 모델링 하였고 그 결과를 서로 비교하였다. 모델링에서 일정한 기준의 질량분율을 일관되게 적용하여 얻어진 매연의 확산 상단면은 실험결과를 바탕으로 구한 매연확산의 경험적 상관관계식과 거의 유사한 속도로 환기구내에서 상승함이 관측되었다. 이것은 다른 연구자들이 수학적 이론으로부터 구한 상관관계식의 결과보다 더 우수한 결과이며 전산유체역학에 기초한 수치모델이 장대형 수직 환기구를 통한 매연확산 연구에 효과적인 도구가 될 수 있음을 보여준다.

다중 프런트 해법을 이용한 비선형 구조문제의 병렬계산 (Parallel Computation of a Nonlinear Structural Problem using Parallel Multifrontal Solver)

  • 정순완;김승조
    • 한국항공우주학회지
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    • 제31권2호
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    • pp.41-50
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    • 2003
  • 본 논문에서는, 병렬 다중 프런트 해법을 이용한 비선형 병렬 구조해석 과정을 소개하고 이의 응용예제로써 2차원 및 3차원 균열 모델에서의 손상 국부화를 모사하였다. 비선형 유한요소 해석과 연속체 손상역학과 관련된 병렬 알고리듬을 구현하였고, 비선형 손상해석에서 사용되는 많은 변수들을 저장하기 위해서는 메모리가 많이 필요하므로 이를 줄이는 방안을 고려하였다. 그리고 손상 진전으로 인한 변형도 연화가 발생할 때 해를 구하기 위해 사용한 Riks의 연속법도 병렬 계산에 맞도록 수정하였다. 수치예제로써, 최대 약 1백만 자유도를 가진 모델들을 사용하여 손상 국부화 문제를 해석하였는데, 이 예제에서 비선형 병렬 알고리듬의 병렬효율과 자유도 변화에 따른 균열 끝단에서의 손상 변화를 살펴보았다.

Large deformation modeling of flexible manipulators to determine allowable load

  • Esfandiar, Habib;Korayem, Moharam H.;Haghpanahi, Mohammad
    • Structural Engineering and Mechanics
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    • 제62권5호
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    • pp.619-629
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    • 2017
  • This paper focuses on the study of complete dynamic modeling and maximum dynamic load carrying capacity computation of N-flexible links and N-flexible joints mobile manipulator undergoing large deformation. Nonlinear dynamic analysis relies on the Timoshenko theory of beams. In order to model the system completely and precisely, structural and joint flexibility, nonlinear strain-displacement relationship, payload, and non-holonomic constraints will be considered to. A finite element solution method based on mixed method is applied to model the shear deformation. This procedure is considerably more involved than displacement based element and shear deformation can be readily included without inducing the shear locking in the element. Another goal of this paper is to present a computational procedure for determination of the maximum dynamic load of geometrically nonlinear manipulators with structural and joint flexibility. An effective measure named as Moment-Height Stability (MHS) measure is applied to consider the dynamic stability of a wheeled mobile manipulator. Simulations are performed for mobile base manipulator with two flexible links and joints. The results represent that dynamic stability constraint is sensitive when calculating the maximum carrying load. Furthermore, by changing the trajectory of end effector, allowable load also changes. The effect of torsional spring parameter on the joint deformation is investigated in a parametric sensitivity study. The findings show that, by the increase of torsional stiffness, the behavior of system approaches to a system with rigid joints and allowable load of robot is also enhanced. A comparison is also made between the results obtained from small and large deformation models. Fluctuation range in obtained figures for angular displacement of links and end effector path is bigger for large deformation model. Experimental results are also provided to validate the theoretical model and these have good agreement with the simulated results.

Structural reliability assessment using an enhanced adaptive Kriging method

  • Vahedi, Jafar;Ghasemi, Mohammad Reza;Miri, Mahmoud
    • Structural Engineering and Mechanics
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    • 제66권6호
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    • pp.677-691
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    • 2018
  • Reliability assessment of complex structures using simulation methods is time-consuming. Thus, surrogate models are usually employed to reduce computational cost. AK-MCS is a surrogate-based Active learning method combining Kriging and Monte-Carlo Simulation for structural reliability analysis. This paper proposes three modifications of the AK-MCS method to reduce the number of calls to the performance function. The first modification is related to the definition of an initial Design of Experiments (DoE). In the original AK-MCS method, an initial DoE is created by a random selection of samples among the Monte Carlo population. Therefore, samples in the failure region have fewer chances to be selected, because a small number of samples are usually located in the failure region compared to the safe region. The proposed method in this paper is based on a uniform selection of samples in the predefined domain, so more samples may be selected from the failure region. Another important parameter in the AK-MCS method is the size of the initial DoE. The algorithm may not predict the exact limit state surface with an insufficient number of initial samples. Thus, the second modification of the AK-MCS method is proposed to overcome this problem. The third modification is relevant to the type of regression trend in the AK-MCS method. The original AK-MCS method uses an ordinary Kriging model, so the regression part of Kriging model is an unknown constant value. In this paper, the effect of regression trend in the AK-MCS method is investigated for a benchmark problem, and it is shown that the appropriate choice of regression type could reduce the number of calls to the performance function. A stepwise approach is also presented to select a suitable trend of the Kriging model. The numerical results show the effectiveness of the proposed modifications.