• 제목/요약/키워드: Linear Interpolation

검색결과 599건 처리시간 0.033초

핫엠보싱 충전공정에 관한 수치해석 (Numerical simulation of hot embossing filling)

  • 강태곤;권태헌
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 춘계학술대회 논문집
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    • pp.43-46
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    • 2005
  • Micro molding technology is a promising mass production technology for polymer based microstructures. Mass production technologies such as the micro injection/compression molding, hot embossing, and micro reaction molding are already in use. In the present study, we have developed a numerical analysis system to simulate three-dimensional non-isothermal cavity filling for hot embossing, with a special emphasis on the free surface capturing. Precise free surface capturing has been successfully accomplished with the level set method, which is solved by means of the Runge-Kutta discontinuous Galerkin (RKDG) method. The RKDG method turns out to be excellent from the viewpoint of both numerical stability and accuracy of volume conservation. The Stokes equations are solved by the stabilized finite element method using the equal order tri-linear interpolation function. To prevent possible numerical oscillation in temperature Held we employ the streamline upwind Petrov-Galerkin (SUPG) method. With the developed code we investigated the detailed change of free surface shape in time during the mold filling. In the filling simulation of a simple rectangular cavity with repeating protruded parts, we find out that filling patterns are significantly influenced by the geometric characteristics such as the thickness of base plate and the aspect ratio and pitch of repeating microstructures. The numerical analysis system enables us to understand the basic flow and material deformation taking place during the cavity filling stage in microstructure fabrications.

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회전하는 환상 디스크의 면내 고유진동 해석 (In-plane Natural Vibration Analysis of a Rotating Annular Disk)

  • 송승관;곽동희;김창부
    • 한국소음진동공학회논문집
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    • 제19권2호
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    • pp.208-216
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    • 2009
  • In this paper, we present the equations of motion by which the natural vibration of a rotating annular disk can be analyzed accurately. These equations are derived from the theory of finite deformation and the principle of virtual work. The radial displacements of annular disk at the steady state where the disk is rotating at a constant angular velocity are determined by non-linear static equations formulated with 1-dimensional finite elements in radial direction. The linearlized equations of the in-plane vibrations at the disturbed state are also formulated with 1-dimensional finite elements in radial direction along the number of nodal diameters. They are expressed as in functions of the radial displacements at the steady state and the disturbed displacements about the steady state. In-plane static deformation modes of an annular disk are used as the displacement functions for the interpolation functions of the 1-dimensional finite elements. The natural vibrations of an annular disk with different boundary conditions are analyzed by using the presented model and the 3-dimensional finite element model to verify accuracy of the presented equations of motion. Its results are compared and discussed.

The MIN-N family of pure-displacement, triangular, Mindlin plate elements

  • Liu, Y. Jane;Riggs, H.R.
    • Structural Engineering and Mechanics
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    • 제19권3호
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    • pp.297-320
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    • 2005
  • In recent years the pure displacement formulation for plate elements has not been as popular as other formulations. We revisit the pure displacement formulation for shear-deformable plate elements and propose a family of N-node, displacement-compatible, fully-integrated, pure-displacement, triangular, Mindlin plate elements, MIN-N. The development has been motivated by the relative simplicity of the pure displacement formulation and by the success of the existing 3-node plate element, MIN3. The formulation of MIN3 is generalized to obtain the MIN-N family, which possesses complete, fully compatible kinematic fields, in which the interpolation functions for transverse displacement are one degree higher than those for rotations. General element-level formulas for the thin-limit Kirchhoff constraints are developed. The 6-node, 18 degree-of-freedom element MIN6, with cubic displacement and quadratic rotations, is implemented and tested extensively. Numerical results show that MIN6 exhibits good performance for both static and dynamic analyses in the linear, elastic regime. The results illustrate that the fully-integrated MIN6 element has excellent performance in the thin limit, even for coarse meshes, and that it does not require shear relaxation.

A FINITE DIFFERENCE/FINITE VOLUME METHOD FOR SOLVING THE FRACTIONAL DIFFUSION WAVE EQUATION

  • Sun, Yinan;Zhang, Tie
    • 대한수학회지
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    • 제58권3호
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    • pp.553-569
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    • 2021
  • In this paper, we present and analyze a fully discrete numerical method for solving the time-fractional diffusion wave equation: ∂βtu - div(a∇u) = f, 1 < β < 2. We first construct a difference formula to approximate ∂βtu by using an interpolation of derivative type. The truncation error of this formula is of O(△t2+δ-β)-order if function u(t) ∈ C2,δ[0, T] where 0 ≤ δ ≤ 1 is the Hölder continuity index. This error order can come up to O(△t3-β) if u(t) ∈ C3 [0, T]. Then, in combinination with the linear finite volume discretization on spatial domain, we give a fully discrete scheme for the fractional wave equation. We prove that the fully discrete scheme is unconditionally stable and the discrete solution admits the optimal error estimates in the H1-norm and L2-norm, respectively. Numerical examples are provided to verify the effectiveness of the proposed numerical method.

An improved collapse analysis mechanism for the face stability of shield tunnel in layered soils

  • Chen, Guang-hui;Zou, Jin-feng;Qian, Ze-hang
    • Geomechanics and Engineering
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    • 제17권1호
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    • pp.97-107
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    • 2019
  • Based on the results of Han et al. (2016), in the failure zone ahead of the tunnel face it can be obviously identified that a shear failure band occurs in the lower part and a pressure arch happens at the upper part, which was often neglected in analyzing the face stability of shield tunnel. In order to better describe the collapse failure feature of the tunnel face, a new improved failure mechanism is proposed to evaluate the face stability of shield tunnel excavated in layered soils in the framework of limit analysis by using spatial discretization technique and linear interpolation method in this study. The developed failure mechanism is composed of two parts: i) the rotational failure mechanism denoting the shear failure band and ii) a uniformly distributed force denoting the pressure arch effect. Followed by the comparison between the results of critical face pressures provided by the developed model and those by the existing works, which indicates that the new developed failure mechanism provides comparatively reasonable results.

A simple prediction procedure of strain-softening surrounding rock for a circular opening

  • Wang, Feng;Zou, Jin-Feng
    • Geomechanics and Engineering
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    • 제16권6호
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    • pp.619-626
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    • 2018
  • A simple prediction procedure was investigated for calculating the stresses and displacements of a circular opening. Unlike existed approaches, the proposed approach starts each step with a radius increment. The stress for each annulus could be obtained analytically, while strain increments for each step can be determinate numerically from the compatility equation by finite difference approximation, flow rule and Hooke's law. In the successive manner, the distributions of stresses and displacements could be found. It should be noted that the finial radial stress and displacement were equal to the internal supporting pressure and deformation at the tunnel wall, respectively. By assuming different plastic radii, GRC and the evolution curve of plastic radii and internal supporting pressures could be obtained conveniently. Then the real plastic radius can be calculated by using linear interpolation in the evolution curve. Some numerical and engineering examples were performed to demonstrate the accuracy and validity for the proposed procedure. The comparisons results show that the proposed procedure was faster than that in Lee and Pietrucszczak (2008). The influence of annulus number and dilation on the accuracy of solutions was also investigated. Results show that the larger the annulus number was, the more accurate the solutions were. Solutions in Park et al. (2008) were significantly influenced by dilation.

위성 단말 송신부의 주파수 응답 평탄도를 향상시키기 위한 모뎀 출력 조절 방법 (Control Technique of Modem Output Level to improve Frequency Response Equalization of Satellite TX Terminals)

  • 조태종
    • 한국인터넷방송통신학회논문지
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    • 제19권5호
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    • pp.129-133
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    • 2019
  • 넓은 BW를 사용하는 위성 통신 시스템에서 주파수 자원을 최대한 효율적으로 사용하는 것은 매우 중요하다. 주파수 자원의 낭비를 초래하는 원인들 중 하나는 사용 대역의 평탄도가 좋지 못하는 경우이다. 사용 대역의 평탄도가 좋지 못한 위성 단말 송신부는 ACI와 가드밴드로 인해 주파수 자원 효율이 낮아지게 된다. 이를 극복하기 위해 본 논문에서는 위성 단말 송신부의 평탄도를 보정하는 방법을 제안한다. 우선, 선별하여 측정한 데이터로부터 최소 자승법을 만족하는 다항식을 생성하고 측정하지 않은 주파수 응답 특성을 보간 하였다. 그리고 최소 자승법을 만족하는 다항식을 이용하여 모뎀의 출력 레벨을 조절하였다. 시뮬레이션 결과 보정된 데이터는 보정 전 데이터 대비 pk-pk와 표준편차가 낮아졌고 이를 통해 평탄도가 보정되었음을 확인하였다.

Nonparametric modeling of self-excited forces based on relations between flutter derivatives

  • Papinutti, Mitja;Cetina, Matjaz;Brank, Bostjan;Petersen, Oyvind W.;Oiseth, Ole
    • Wind and Structures
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    • 제31권6호
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    • pp.561-573
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    • 2020
  • Unsteady self-excited forces are commonly represented by parametric models such as rational functions. However, this requires complex multiparametric nonlinear fitting, which can be a challenging task that requires know-how. This paper explores the alternative nonparametric modeling of unsteady self-excited forces based on relations between flutter derivatives. By exploiting the properties of the transfer function of linear causal systems, we show that damping and stiffness aerodynamic derivatives are related by the Hilbert transform. This property is utilized to develop exact simplified expressions, where it is only necessary to consider the frequency dependency of either the aeroelastic damping or stiffness terms but not both simultaneously. This approach is useful if the experimental data on aerodynamic derivatives that are related to the damping are deemed more accurate than the data that are related to the stiffness or vice versa. The proposed numerical models are evaluated with numerical examples and with data from wind tunnel experiments. The presented method can evaluate any continuous fitted table of interpolation functions of various types, which are independently fitted to aeroelastic damping and stiffness terms. The results demonstrate that the proposed methodology performs well. The relations between the flutter derivatives can be used to enhance the understanding of experimental modeling of aerodynamic self-excited forces for bridge decks.

사용자-데이터 인터페이스 : 데이터에서 자동 스크롤을 통한 정보 검색 가속화 인터페이스 (Human-Data Interface : Interface to Accelerate Information Retrieval via Automatic Scroll in Data)

  • 최민기;박정우;김종현
    • 한국컴퓨터정보학회:학술대회논문집
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    • 한국컴퓨터정보학회 2021년도 제63차 동계학술대회논문집 29권1호
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    • pp.273-276
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    • 2021
  • 본 논문에서는 사용자의 관심영역(Region of interests, ROI)를 기반 스크롤을 통해 데이터를 좀 더 빠르고 효율적으로 검색할 수 있는 사용자-데이터 인터페이스를 제안한다. 사용자가 관심있는 정보나 콘텐츠를 찾는 행동에서 착안한 우리의 접근 방식은 주어진 콘텐츠에서 ROI를 효율적으로 계산하고, GMM(Gaussian mixture model, 가우시안 혼합 모델)에서 착안해 개발한 커널을 기반으로 사용자가 관심 있어 하는 정보의 위치로 부드럽고 빠르게 화면을 이동시켜 정보를 탐색한다. 과정을 설명하기 앞서, 다수의 ROI가 있을 때 스크롤의 현 위치는 항상 두 ROI의 사이에 있다. 그 두 사이의 거리가 가장 짧은 두 ROI에 각각 우리의 커널을 적용하면 현 위치에서 스크롤 가속에 적용 가능한 두 개의 관성이 생긴다. 여기에 선형 보간법(Linear interpolation)을 적용하여 한층 부드러운 하나의 관성으로 만들고, 이것을 스크롤에 적용한다. 결과적으로, 오직 사용자의 입력에 따라 정보가 검색되는 기존의 접근법과는 달리, ROI와 DOI(Degree of interests, 중요도)를 기반으로 향상된 스크롤을 통해 사용자가 관심 있어 하는 정보나 콘텐츠를 보다 쉽게 직관적으로 찾아줄 수 있기 때문에 사용자는 탐색 시간을 절약할 수 있다.

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설명 가능한 인공지능 기술을 활용한 가스누출과 고혈압의 연관 분석 (Explainable analysis of the Relationship between Hypertension with Gas leakages)

  • 홍고르출;조겨리;김미혜
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2022년도 추계학술발표대회
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    • pp.55-56
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    • 2022
  • Hypertension is a severe health problem and increases the risk of other health issues, such as heart disease, heart attack, and stroke. In this research, we propose a machine learning-based prediction method for the risk of chronic hypertension. The proposed method consists of four main modules. In the first module, the linear interpolation method fills missing values of the integration of gas and meteorological datasets. In the second module, the OrdinalEncoder-based normalization is followed by the Decision tree algorithm to select important features. The prediction analysis module builds three models based on k-Nearest Neighbors, Decision Tree, and Random Forest to predict hypertension levels. Finally, the features used in the prediction model are explained by the DeepSHAP approach. The proposed method is evaluated by integrating the Korean meteorological agency dataset, natural gas leakage dataset, and Korean National Health and Nutrition Examination Survey dataset. The experimental results showed important global features for the hypertension of the entire population and local components for particular patients. Based on the local explanation results for a randomly selected 65-year-old male, the effect of hypertension increased from 0.694 to 1.249 when age increased by 0.37 and gas loss increased by 0.17. Therefore, it is concluded that gas loss is the cause of high blood pressure.