• Title/Summary/Keyword: Laplace보간

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Development of Generating Technique for Triangular Mesh by using Distinct Element Method (개별요소법을 이용한 삼각망 생성기법 개발)

  • Kim, Nam-Hyeong;Yun, Hyeon-Cheol;Hur, Young-Teck
    • Journal of Navigation and Port Research
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    • v.34 no.5
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    • pp.367-373
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    • 2010
  • When the numerical analysis is carried out, it is necessary to set proper elements as a feature of analysis domains for more accurate simulations. In this study, Distinct Element Method(DEM) is applied, only considering repulsive force and tensile force except for frictional force and resisting force of particle. When the filled particles with initial Quad-tree type is relocated by DEM, a blank space existing among the particles can be minimized because the shape of particle is circular. Finally, it is the effective feature that the centroidal disposion of the particles is similar to an equilateral triangle. Triangular mesh are formed by using the Delaunay triangular technique on these relocated particles, the quality of triangular mesh is more improved by carrying out Laplace interpolations. The compared result of Aspect Ratio before and after the Laplace interpolation is shown that although the quality of triangular mesh made by DEM is good, the later triangular mesh are higher quality than the formers. In this study, although the developed technique takes a longer calculational time than the previous technique to generate triangular mesh, it is considered that the applicable possibility is very high in the generation of finite element mesh about wave analysis and various numerical simulation to need a complex or reappearance of exact topography.

Improvement of the finite element dynamic model by using exact dynamic elements (엄밀한 동적 요소를 이용한 유한 요소 동적 모델의 개선)

  • Cho, Yong-Ju;Kim, Jong-Wook;Hong, Seong-Wook
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.590-595
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    • 2001
  • To improve the modeling accuracy for the finite element method, this paper proposes a method to make a combined use of finite elements and exact dynamic elements. Exact interpolation functions for a Timoshenko beam element are derived and compared with interpolation functions of the finite element method (FEM). The exact interpolation functions are tested with the Laplace variable varied. The exact interpolation functions are used to gain more accurate mode shape functions for the finite element method. This paper also presents a combined use of finite elements and exact dynamic elements in design problems. A Timoshenko frame with tapered sections is tested to demonstrate the design procedure with the proposed method.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae E. M.;Sah J. Y.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.9-18
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    • 1996
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae Eun-Mi;Sah Jong-Youb
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.104-109
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    • 1995
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Hybrid Element Model for Wave Transformation Analysis (파랑 변형 해석을 위한 복합 요소 모형)

  • 정태화;박우선;서경덕
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.15 no.3
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    • pp.159-166
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    • 2003
  • In this study, we develop a finite element model to directly solve the Laplace equation while keeping the same computational efficiency as the models based on the extended mild-slope equation which has been widely used for calculation of wave transformation in shallow water. For this, the computational domain is discretized into finite elements with a single layer in the vertical direction. The velocity potential in the element is then expressed in terms of the potentials at the nodes located at water surface, and the Galerkin method is used to construct the numerical model. A common shape function is adopted in horizontal direction, and the cosine hyperbolic function in vertical direction, which describes the vertical behavior of progressive waves. The model was developed for vertical two-dimensional problems. In order to verify the developed model, it is applied to vertical two-dimensional problems of wave reflection and transmission. It is shown that the present finite element model is comparable to the models based on extended mild-slope equations in both computational efficiency and accuracy.

A Study on the Combined Use of Exact Dynamic Elements and Finite Elements (엄밀한 동적 요소와 유한 요소 통합 해석 방법에 관한 연구)

  • 홍성욱;조용주;김종선
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.2
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    • pp.141-149
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    • 2002
  • Although the finite element method has become an indispensible tool for the dynamic analysis of structures, difficulty remains to quantify the errors associated with discretization. To improve the modeling accuracy, this paper proposes a method to make a combined use of finite elements and exact dynamic elements. Exact interpolation functions for the Timoshenko beam element are derived using the exact dynamic element modeling (EDEM) and compared with interpolation functions of the finite element method (FEM). The exact interpolation functions are tested with the Laplace variable varied. A combined use of finite element method and exact interpolation functions is presented to gain more accurate mode shape functions. This paper also presents a combined use of finite elements and exact dynamic elements in design/reanalysis problems. Timoshenko flames with tapered sections are tested to demonstrate the design procedure with the proposed method. The numerical study shows that the combined use of finite element model and exact dynamic element model is very useful.

Design of a CDBC Using Multirate Sampling (Multirate 샘플링을 이용한 CDBC의 설계)

  • 김진용;김성열;이금원
    • Journal of the Institute of Convergence Signal Processing
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    • v.4 no.4
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    • pp.47-51
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    • 2003
  • Due to the asymptotic property, deadbeat control which is well used in digital control system can not be applied to the continuous time system. But recently by use of the finite Laplace Transform to transfer function and establishment of some settling conditions, CDBC(Continuous time Deadbeat Control) is studied. For CDBC design, transfer function is constituted with delay elements and then order and interpolation conditions are derived. In other way, digital deadbeat controller is implemented and it's output is changed to continuous type by smoothing elements. In this paper multirate sampling is used and so inner controller is sampled faster than output feedback loop. And End order smoothing elements is placed to the output of digital deadbeat controller. By the multirate sampling overall output response is improved. The controller is impleneted as a serial integral compensator in the forward path and a local feedback compensator introduced into the outpute feedback loop. Matlab Simulink is used for simulation.

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