• 제목/요약/키워드: approximation technique

검색결과 558건 처리시간 0.022초

A posteriori error estimator for hierarchical models for elastic bodies with thin domain

  • Cho, Jin-Rae
    • Structural Engineering and Mechanics
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    • 제8권5호
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    • pp.513-529
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    • 1999
  • A concept of hierarchical modeling, the newest modeling technology, has been introduced in early 1990's. This new technology has a great potential to advance the capabilities of current computational mechanics. A first step to implement this concept is to construct hierarchical models, a family of mathematical models sequentially connected by a key parameter of the problem under consideration and have different levels in modeling accuracy, and to investigate characteristics in their numerical simulation aspects. Among representative model problems to explore this concept are elastic structures such as beam-, arch-, plate- and shell-like structures because the mechanical behavior through the thickness can be approximated with sequential accuracy by varying the order of thickness polynomials in the displacement or stress fields. But, in the numerical, analysis of hierarchical models, two kinds of errors prevail, the modeling error and the numerical approximation error. To ensure numerical simulation quality, an accurate estimation of these two errors is definitely essential. Here, a local a posteriori error estimator for elastic structures with thin domain such as plate- and shell-like structures is derived using the element residuals and the flux balancing technique. This method guarantees upper bounds for the global error, and also provides accurate local error indicators for two types of errors, in the energy norm. Compared to the classical error estimators using the flux averaging technique, this shows considerably reliable and accurate effectivity indices. To illustrate the theoretical results and to verify the validity of the proposed error estimator, representative numerical examples are provided.

Tessellation에 독립적인 법선 벡터 근사에 대한 연구 (Tessellation-independent Approximation of Normal Vectors)

  • 안재우;김응순
    • 한국컴퓨터그래픽스학회논문지
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    • 제4권2호
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    • pp.29-32
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    • 1998
  • 다면체를 부드럽게 렌더링하기 위해서는 각 꼭지점에서의 법선 벡터가 필요하다. 기장 흔히 쓰는 법선 벡터 계산 방법은 꼭지점 주변 면들의 법선 벡터들을 평균하는 것인데, 이 방법은 면들이 어떻게 분할 되어 있는지에 영향을 받으며, 따라서 비록 모델을 연속되게 변형하더라도 면 분할을 행하고 나면 법선 벡터들이 연속되지 않게 변할 수 있다. 본 논문에서는 이러한 문제점들을 해결하기 위하여 기존의 방법을 약간 변형한 법선 벡터 계산 방법을 제시한다. 이 방법에서는 꼭지점 주변 면들의 법선 벡터를 가중합하여 구하는데, 한 면의 가중치는 꼭지점에 걸쳐있는 두 모서리가 이루는 각으로 정한다.

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Prediction and Measurement of Residual Stresses in Injection Molded Parts

  • Kwon, Young-Il;Kang, Tae-Jin;Chung, Kwansoo;Youn, Jae Ryoun
    • Fibers and Polymers
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    • 제2권4호
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    • pp.203-211
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    • 2001
  • Residual stresses were predicted by a flow analysis in the mold cavity and residual stress distribution in the injection molded product was measured. Flow field was analyzed by the hybrid FEM/FDM method, using the Hele Shaw approximation. The Modified Cross model was used to determine the dependence of the viscosity on the temperature and the shear rate. The specific volume of the polymer melt which varies with the pressure and temperature fields was calculated by the Tait\`s state equation. Flow analysis results such as pressure, temperature, and the location of the liquid-solid interface were used as the input of the stress analysis. In order to calculate more accurate gap-wise temperature field, a coordinate transformation technique was used. The residual stress distribution in the gap-wise temperature field, a coordinate transformation technique was used. The residual stress distribution in the gap-wise direction was predicted in two cases, the free quenching, under the assumption that the shrinkage of the injection molded product occurs within the mold cavity and that the solid polymer is elastic. Effects of the initial flow rate, packing pressure, and mold temperature on the residual stress distribution was discussed. Experimental results were also obtained by the layer removal method for molded polypropylene.

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Flutter Characteristics ofAircraft Wing Considering Control Surface and Actuator Dynamics with Friction Nonlinearity

  • Lee, Seung-Jun;Lee, In;Shin, Won-Ho
    • International Journal of Aeronautical and Space Sciences
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    • 제8권1호
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    • pp.140-147
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    • 2007
  • Whenever the hinge axis of aircraft wing rotates, its stiffness varies. Also, there are nonlinearities in the connection of the actuator and the hinge axis, and it is necessary to inspect the coupled effects between the actuator dynamics and the hinge nonlinearity. Nonlinear aeroelastic characteristics are investigated by using the iterative V-g method. Time domain analyses are also performed by using Karpel's minimum state approximation technique. The doublet hybrid method(DHM) is used to calculate the unsteady aerodynamic forces in subsonic regions. Structural nonlinearity located in the load links of the actuator is assumed to be friction. The friction nonlinearity of an actuator is identified by using the describing function technique. The nonlinear flutter analyses have shown that the flutter characteristics significantly depends on the structural nonlinearity as well as the dynamic stiffness of an actuator. Therefore, the dynamic stiffness of an actuator as well as the nonlinear effect of hinge axis are important factors to determine the flutter stability.

Reactor core analysis through the SP3-ACMFD approach. Part I: Static solution

  • Mirzaee, Morteza Khosravi;Zolfaghari, A.;Minuchehr, A.
    • Nuclear Engineering and Technology
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    • 제52권2호
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    • pp.223-229
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    • 2020
  • The present work proposes a solution to the static Boltzmann transport equation approximated by the simplified P3 (SP3) on angular, and the analytic coarse mesh finite difference (ACMFD) for spatial variables. Multi-group SP3-ACMFD equations in 3D rectangular geometry are solved using the GMRES solution technique. As the core time dependent analysis necessitates the solution of an eigenvalue problem for an initial condition, this work is hence devoted to development and verification of the proposed static SP3-ACMFD solver. A 3D multi-group static diffusion solver is also developed as a byproduct of this work to assess the improvement achieved using the SP3 technique. Static results are then compared against transport benchmarks to assess the proximity of SP3-ACMFD solutions to their full transport peers. Results prove that the approach can be considered as an acceptable interim approximation with outputs superior to the diffusion method, close to the transport results, and with the computational costs less than the full transport approach. The work would be further generalized to time dependent solutions in Part II.

NURBS를 이용한 S형 천음속 흡입관 최적 설계 (OPTIMAL SHAPE DESIGN OF A S-SHAPED SUBSONIC INTAKE USING NURBS)

  • 이병준;김종암
    • 한국전산유체공학회지
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    • 제11권1호
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    • pp.57-66
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    • 2006
  • An optimal shape design approach is presented for a subsonic S-shaped intake using aerodynamic sensitivity analysis. Two-equation turbulence model is employed to capture strong counter vortices in the S-shaped duct more precisely. Sensitivity analysis is performed for the three-dimensional Navier-Stokes equations coupled with two-equation turbulence models using a discrete adjoint method For code validation, the result of the flow solver is compared with experiment data and other computational results of bench marking test. To study the influence oj turbulence models and grid refinement on the duct flow analysis, the results from several turbulence models are compared with one another and the minimum number of grid points, which can yield an accurate solution is investigated The adjoint variable code is validated by comparing the complex step derivative results. To realize a sufficient and flexible design space, NURBS equations are introduced as a geometric representation and a new grid modification technique, Least Square NURBS Grid Approximation is applied With the verified flow solver, the sensitivity analysis code and the geometric modification technique, the optimization of S-shaped intake is carried out and the enhancement of overall intake performance is achieved The designed S-shaped duct is tested in several off-design conditions to confirm the robustness of the current design approach. As a result, the capability and the efficiency of the present design tools are successfully demonstrated in three-dimensional highly turbulent internal flow design and off-design conditions.

보간법을 이용한 견인 어레이 형상 추정 기법의 성능 개선 (Performance Improvement of Towed Array Shape Estimation Using Interpolation)

  • 박민수;도경철;오원천;윤대희;이충용
    • 한국음향학회지
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    • 제19권3호
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    • pp.72-76
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    • 2000
  • 칼만 필터를 이용한 2차원 견인 배열 (towed may) 형상 추정 기법의 성능을 개선하는 방법을 제안한다. 변위 센서를 이용할 경우, 기존의 칼만 여파기 방법에 의해 추정된 2차원 하이드로폰 수평 좌표는 총 길이가 배열의 길이와 일치하며 등간격 값을 갖게 된다. 이렇게 고정된 수평 좌표를 사용하는 경우 배열의 왜곡 정도가 심화됨에 따라 오차가 증가하게 된다. 이를 개선하기 위해 선형 근사화 방법 또는 스플라인 보간법을 이용하여 발생하는 오차를 줄일 수 있는 방법을 제안하고 컴퓨터 모의 실험을 통해 그 성능을 검증한다.

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J-선회 조종성능을 고려한 승용차 현가장치의 최적화 기법 (Optimization Technique of Passenger Car Suspension System Considering J-Turn Handling Performances)

  • 이상범;이춘승;임홍재;김민수
    • 대한기계학회논문집A
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    • 제28권3호
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    • pp.267-273
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    • 2004
  • The purpose of this paper is to develop a systematic design method for the suspension system hard points and compliance elements, which have great influence on the handling stability of a vehicle. In this paper, a method to optimize J-turn responses is presented based on the principles of design of experiments, multi-body dynamic analysis and optimum design technique. The design variables associated with the J-turn maneuver are selected through the experimental design sensitivity analysis using the perturbation method. An objective function is defined as an approximate function for the J-turn characteristics using the TSA(Taylor series approximation). The values of the design variables, which make the optimized J-turn characteristics, are obtained using the conjugate gradient method. The result of the J-turn simulation shows that the optimized vehicle has more improved handling stability than the optimized vehicle.

QFT와 유전 알고리즘을 이용한 발전소 조속기 속도제어계의 설계 (A Design of Speed Control Systems for the Governor in Power Station using QFT and Genetic Algorithm)

  • 김주식;유정웅
    • 조명전기설비학회논문지
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    • 제12권2호
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    • pp.77-84
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    • 1998
  • 본 연구에서 고려된 발전소 조속기의 속도제어계는 레귤레이터(PID 제어기), 액튜에이터와 터빈으로 구성되어 있다. 이 계통에 파라미터 불확실성과 외란이 고려되면, PID 제어만으로는 만족한 제어성능을 얻지 못할 수도 있다. 따라서 플랜트 불확실성과 외란에 대해 요구된 계통의 제어성능을 얻을 수 있는 설계기법의 도입이 필요하다. 본 연구에서는 발전설비의 안정된 운전을 위한 설계기법으로 QFT를 이용하였으며, QFT의 루프형성 근사화기법에 유전 알고리즘을 도입하여 개루프 전달함수의 계수를 식별하는 방법을 제안하였다. 그리고 이 기법을 이용해서 발전소 속도제어계를 설계하였다.

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Omni-directional Image에서의 이동객체 좌표 보정 및 추적 (Coordinate Calibration and Object Tracking of the ODVS)

  • 박용민;남현정;차의영
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2005년도 추계종합학술대회
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    • pp.408-413
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    • 2005
  • 본 논문에서는 Omni-directional Image에서 이동 객체를 추적하고, 이동 객체의 실제 거리 좌표 상에서의 위치를 추정하기 위한 3차원 포물면 좌표 변환 방법을 제안하고 있다. 실시간으로 이동 객체를 추출하기 위해 제안된 색상 정보(Hue) 히스토그램 정합 기법을 사용하였다. 색상 정보 히스토그램 정합 기법에 의해 추출된 이동 객체의 이미지 상의 좌표는 카메라의 높이, 초점 거리 등과 같은 환경 변수와 함께 제안하는 3차원 포물면 좌표 변환 함수에 대입하여 이동 객체의 실제 거리 좌표를 추정한다. 실험 결과를 통해 본 논문에서 제안하는 방법은 빛의 밝기에 비교적 강인하게 이동 객체를 추출할 수 있었고, Omni-directional Image에서 이동 객체의 실제 거리 좌표를 추정할 수 있었다.

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