• 제목/요약/키워드: Moving Least Square Method

검색결과 102건 처리시간 0.022초

Meshless formulation for shear-locking free bending elements

  • Kanok-Nukulchai, W.;Barry, W.J.;Saran-Yasoontorn, K.
    • Structural Engineering and Mechanics
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    • 제11권2호
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    • pp.123-132
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    • 2001
  • An improved version of the Element-free Galerkin method (EFGM) is presented here for addressing the problem of transverse shear locking in shear-deformable beams with a high length over thickness ratio. Based upon Timoshenko's theory of thick beams, it has been recognized that shear locking will be completely eliminated if the rotation field is constructed to match the field of slope, given by the first derivative of displacement. This criterion is applied directly to the most commonly implemented version of EFGM. However in the numerical process to integrate strain energy, the second derivative of the standard Moving Least Square (MLS) shape functions must be evaluated, thus requiring at least a $C^1$ continuity of MLS shape functions instead of $C^0$ continuity in the conventional EFGM. Yet this hindrance is overcome effortlessly by only using at least a $C^1$ weight function. One-dimensional quartic spline weight function with $C^2$ continuity is therefore adopted for this purpose. Various numerical results in this work indicate that the modified version of the EFGM does not exhibit transverse shear locking, reduces stress oscillations, produces fast convergence, and provides a surprisingly high degree of accuracy even with coarse domain discretizations.

이동최소제곱근사법을 이용한 개선된 구조 신뢰성 해석 (An Improved Structural Reliability Analysis using Moving Least Squares Approximation)

  • 강수창;고현무
    • 대한토목학회논문집
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    • 제28권6A호
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    • pp.835-842
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    • 2008
  • 응답면 기법은 수치적 효율성을 증대시키기 위해 구조 신뢰성 해석에 널리 적용되고 있다. 그러나 응답면 기법을 사용한 대형구조물의 신뢰성 해석에는 아직도 과도한 해석시간이 요구되고 비선형성이 큰 한계상태에 대해서는 확률변수에 대한 신뢰도지수의 민감도 측면에서 많은 오차가 발생한다. 그러므로, 이 연구에서는 이동최소제곱근사법을 적용한 새로운 응답면 기법을 제안한다. 기존의 응답면 기법에 사용되어온 최소제곱근사법은 표본점들에 동일한 가중값을 부여하여 응답면 함수의 계수를 결정한다. 반면에 이동최소제곱근사법은 설계점에 가까운 표본점들에 더 높은 가중값을 부여함으로써 설계점 근처에서 한계상태식에 더 가까운 응답면 함수를 제공하여 정확도를 증대시킨다. 이동최소제곱근사법을 이용한 신뢰성 해석 절차를 살펴보면, 먼저 선형 응답면 함수를 생성하여 설계점이 있을 영역을 결정한 다음, 이 영역에서 추출된 표본점들을 이용하여 2차 응답면 함수를 생성한다. 그 다음 단계에서는 기존에 추출된 표본점에 연속적으로 하나의 표본점을 더해가면서 응답면 함수를 더욱더 정확히 근사시킨다. 제안된 방법의 효율성을 검토하기 위해서 기존 연구자에 의해 제안된 수치적 문제 및 트러스 문제들에 대하여 신뢰성 해석을 수행하였다. 그 결과 제안된 방법은 민감도를 포함한 정확성 뿐만 아니라 계산 효율성도 증대시킴을 확인할 수 있었다.

급가속 흡기계의 능동소음제어 성능향상을 위한 Moving Bandpass filter 개발 (Development of Moving Bandpass Filter for Improving Control Performance of Active Intake Noise Control under Rapid Acceleration)

  • 전기원;오재응;이충휘;이정윤
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.1016-1019
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    • 2004
  • The study of the noise reduction of an automobile has been concentrated on the reduction of the automotive engine noise because the engine noise is the major cause of automotive noise. However, many studies of automotive engine noise led to the interest of the noise reduction of the exhaust and intake system. The method of the reduction of the induction noise can be classified by the method of passive control and the method of active control. However, the passive control method has a demerit to reduce the effect of noise reduction at low frequency (below 500Hz) range and to be limited by a space of the engine room. Whereas, the active control method can overcome the demerit of passive control method. The algorithm of active control is mostly used the LMS (Least-Mean-Square) algorithm because the LMS algorithm can easily obtain the complex transfer function in real-time. Especially, Filtered-X LMS (FXLMS) algorithm is applied to an ANC system. However, the convergence performance of LMS algorithm goes bad when the FXLMS algorithm is applied to an active control of the induction noise under rapidly accelerated driving conditions. So, in order to this problem, the modified FXLMS algorithm using Moving Bandpass Filter was proposed. In this study, MBPF was implemented and use ANC for automotive intake under revived rapidly accelerated driving conditions and it was verified its performance.

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Nonlinear aerostatic analysis of long-span suspension bridge by Element free Galerkin method

  • Zamiria, Golriz;Sabbagh-Yazdi, Saeed-Reza
    • Wind and Structures
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    • 제31권1호
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    • pp.75-84
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    • 2020
  • The aerostatic stability analysis of a long-span suspension bridge by the Element-free Galerkin (EFG) method is presented in this paper. Nonlinear effects due to wind structure interactions should be taken into account in determining the aerostatic behavior of long-span suspension bridges. The EFG method is applied to investigate torsional divergence of suspension bridges, based on both the three components of wind loads and nonlinearities of structural geometric. Since EFG methods, which are based on moving least-square (MLS) interpolation, require only nodal data, the description of the geometry of bridge structure and boundaries consist of defining a set of nodes. A numerical example involving the three-dimensional EFG model of a suspension bridge with a span length of 888m is presented to illustrate the performance and potential of this method. The results indicate that presented method can effectively be applied for modeling suspension bridge structure and the computed results obtained using present modeling strategy for nonlinear suspension bridge structure under wind flow are encouragingly acceptable.

능동제어기법을 이용한 자동차의 급가속 흡기소음 저감을 위한 Moving Bandpass Filter의 개발 (The Developement of Moving Bandpass Filter for Improving Noise Reduction of Automative Intake in Rapid Acceleration Using ANC)

  • 전기원;오재응;이충휘;아미누딘 아부;이정윤
    • 한국자동차공학회논문집
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    • 제13권4호
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    • pp.152-159
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    • 2005
  • The method of induction noise reduction can be classified by using passive control or active control method. However, the passive control method has a demerit to reduce the effect of noise reduction to low frequency (below) 500Hz) range and to be limited in a space of the engine room. Whereas, the active control method can overcome the demerit of passive control method. The algorithm of active control is mostly used in LMS (Least-Mean-Square) algorithm because it can obtain the complex transfer function easily in real-time. Especially, Filtered-X LMS (FXLMS) algorithm is applied to an ANC system. However, the convergence performance of LMS algorithm could not match if the FXLMS algorithm is applied to an active control of the induction noise under rapidly accelerated driving conditions. So, in order to solve the problem in this study, the Moving Bandpass Filter(MBPF) was proposed and implemented. The ANC using MBPF for the reduction of the induction noise shows that more noise reduction as 4dB than without MBPF.

A POINT COLLOCATION SCHEME FOR THE STATIONARY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

  • Kim, Yongsik
    • 대한수학회보
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    • 제50권5호
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    • pp.1737-1751
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    • 2013
  • An efficient and stable point collocation scheme based on a meshfree method is studied for the stationary incompressible Navier-Stokes equations. We describe the diffuse derivatives associated with the moving least square method. Using these diffuse derivatives, we propose a point collocation method to fit in solving the Navier-Stokes equations which improves the stability of the direct point collocation scheme. The convergence of the numerical solution is investigated from numerical examples. The driven cavity ow and the backward facing step ow are implemented for the reliability of the scheme. Also, the viscous ow on complicated geometry is successfully calculated such as the ow past a circular cylinder in duct.

갤러킨 정식화를 사용한 무요소법의 구성과 그 특성 (Formulation and Chatacteristics of the Element Free Galerkin Method)

  • 석병호;임장근
    • 한국전산구조공학회논문집
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    • 제12권1호
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    • pp.47-56
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    • 1999
  • 최근 요소망의 구성없이 공학적인 문제의 해석이 가능한 무요소법이 많은 학자들에 의하여 제안되고 이에 관한 집중적인 연구가 이루어지고 있다. 본 연구에서는 갤러킨 정식화에 의한 무요소법을 고체역학적인 문제에 적용하여 이의 특성을 규명하고자 하였다. 특히 일반적으로 사용되고 있는 몇가지 가중 함수를 선정하여 이들이 해석결과에 미치는 특성과 절점 배치방법 및 가중 함수의 영향 영역 변화에 따른 해의 정확도 등을 서로 비교하고 검토하였다. 연구결과로 가중 함수의 형태와 영향 영역의 크기, 기정 함수의 차수와 절점 배치방법 등은 서로 상관관계를 갖고 해의 정확도에 크게 영향을 미침을 확인할 수 있었고 이의 적절한 선정은 무요소해석의 중요한 요건임을 알 수 있었다.

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최소자승법과 Kalman Filter를 이용한 AUV 의 DGPS 기반 Localization 의 위치 오차 감소 (Reduction of Relative Position Error for DGPS Based Localization of AUV using LSM and Kalman Filter)

  • 엄현섭;김지언;백준영;이민철
    • 한국정밀공학회지
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    • 제27권10호
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    • pp.52-60
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    • 2010
  • It is generally important to get a precise position information for autonomous unmanned vehicle(AUV) to run safely. For getting the position of AUV, the GPS has been using to navigation in a vehicle. Though it is useful to finding a position, it is difficult to precisely control a trajectory of the AUV due to large measuring error which may reach over 10 meters. Therefore to apply AUV it needs to compensate for the error. This paper proposes a method to more precisely localize AUV using three low-cost differential global positioning systems (DGPS). The distance errors between each DGPS are minimized as using the least square method (LSM) and the Kalman filter to eliminate a Gaussian white noise. The selected DGPS is cheaper and easier to set up than the RTK-GPS. It is also more precise than the general GPS. The proposed method can compensate the relatively position error according to stationary and moving distance of the AUV. For evaluating the algorithm by simulation, the DGPS signal with the Gaussian white noise to any points is generated by the AR model and compared with the measurement signal. It is confirmed that the proposed method can effectively compensate the position error as comparing with the measurement signal. The compensated position signal can be used to localize and control the AUV in the road.

MRI용 심전도/혈류 게이팅 시스템 설계 (Design of ECG/PPG Gating System in MRI Environment)

  • 장봉렬;박호동;이경중
    • 대한의용생체공학회:의공학회지
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    • 제28권1호
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    • pp.132-138
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    • 2007
  • MR(magnetic resonance) image of moving organ such as heart shows serious distortion of MR image due to motion itself. To eliminate motion artifacts, MRI(magnetic resonance imaging) scan sequences requires a trigger pulse like ECG(electro-cardiography) R-wave. ECG-gating using cardiac cycle synchronizes the MRI sequence acquisition to the R-wave in order to eliminate image motion artifacts. In this paper, we designed ECG/PPG(photo-plethysmography) gating system which is for eliminating motion artifacts due to moving organ. This system uses nonmagnetic carbon electrodes, lead wire and shield case for minimizing RF(radio-frequency) pulse and gradient effect. Also, we developed a ECG circuit for preventing saturation by magnetic field and a finger plethysmography sensor using optic fiber. And then, gating pulse is generated by adaptive filtering based on NLMS(normalized least mean square) algorithm. To evaluate the developed system, we measured and compared MR imaging of heart and neck with and without ECG/PPG gating system. As a result, we could get a clean image to be used in clinically. In conclusion, the designed ECG/PPG gating system could be useful method when we get MR imaging of moving organ like a heart.

전력 계통 안정화 제어를 위한 이산시간 제어기 설계 (A Study on digital Controller for Power System Stabilization)

  • 박영문;현승호
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1992년도 하계학술대회 논문집 A
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    • pp.135-137
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    • 1992
  • A new algorithm for self-tuning digital controller is proposed. The system to be controlled is identified on line in auto-regressive-moving-average(ARMA) form via recursive least mean square method. The control law is obtained from the minimization of an objective function. The proposed objective function is similar to that of Generalized Minimum Variance(GMV) method but modified to lessen the overshoot and to avoid numerical divergence problem. This algorithm is applied to the power system stabilization and the comparison of the proposed method with a conventional power system stabilizer(PSS) is presented.

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