• Title/Summary/Keyword: 변형 함수

검색결과 931건 처리시간 0.333초

Perform Analyses of the Deformable Mirror for Adaptive Optics (적응 광학계 변형 거울의 성능 해석)

  • 엄태경;이완술;이준호;윤성기
    • Proceedings of the Optical Society of Korea Conference
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    • 한국광학회 2002년도 하계학술발표회
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    • pp.30-31
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    • 2002
  • 하나의 구동기를 작동하여 거울을 변형시킬 때, 변형된 거울면의 형태를 영향 함수(influence function)라고 정의하며, 이러한 영향 함수를 이용하여 적응 광학계의 주요한 광학 요소인 변형 거울을 효과적으로 모형화하고 설계할 수 있다. 본 논문에서는 유한요소해석을 이용하여 계산된 변형 거울의 실제 영향 함수를 가우시안 함수(Gaussian function) 형태로 단순화하고, 추가로 구동기들 사이의 영향을 고려한 커플링 계수(coupling coefficient)를 도입하여, 주어진 구동기 배열에 대한 영향 함수를 결정하였다. (중략)

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Comparison of Various Shear Deformation Functions for Laminated Composite/Sandwich Plates (복합적층 및 샌드위치판 전단변형함수에 관한 상호비교연구)

  • Park, Won-Tae;Chang, Suk-Yoon;Chun, Kyoung-Sik
    • Journal of the Korean Society for Advanced Composite Structures
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    • 제1권3호
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    • pp.1-9
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    • 2010
  • In this paper, we used various shear deformation functions for modelling isotropic, symmetric composite and sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, are predicted the reasonable accuracy for investigated problems. Particularly, The present results show that the use of exponential shear deformation theory (Karama et al. 2003; Aydogu 2009) provides very good solutions for composite and sandwich plates.

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The NURBS Surface Deformation by Modified FEM for Virtual Design (가상 디자인을 위한 수정된 유한요소법을 이용한 NURBS 곡면 변형)

  • Kwon, Jung-Hoon;Chai, Young-Ho
    • 한국HCI학회:학술대회논문집
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    • 한국HCI학회 2006년도 학술대회 1부
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    • pp.480-485
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    • 2006
  • 본 논문에서는 사용자가 NURBS 곡면을 다양한 형태로 변형을 손쉽게 할 수 있는 수정된 유한요소법을 이용한 곡면 변형의 방법을 제시한다. 수정된 유한요소법은 NURBS 기저함수를 전통적 유한요소법의 형상함수를 대신하여 유한요소해석을 한다. 모델링된 객체는 NURBS 곡면으로 이루어져 있고, 각각의 세그먼트별로 나누어진 기저함수와 제어점으로 구성되어있기 때문에 번거롭게 요소와 형상함수를 따로 구하지 않아도 되며, 자체 보간 방식이므로 기존의 유한요소법에 비해 적은 요소와 절점으로 곡면을 해석 할 수 있다. NURBS 곡면 변형은 각각의 제어점에 의해 구역이 나눠지고 각 구역은 변형될 지점과 가장 가까운 제어점으로 구성된 구역의 제어점들을 변형시킬 지점과 각 제어점의 거리 비례에 따라서 제어점 들의 속도가 지정되어 변형을 완성한다. 제시된 변형 방법은 다른 변형들과 같이 초기 입력에 의해 변형이 한 순간에 진행되는 것이 아니라 점진적 변형이 일어나며, NURBS 의 특징인 전체 제어점 변형으로 인해 의도하지 않은 변형이 일어나는 것을 변형 중간에 각각의 제어점의 속도를 제어함으로써 사용자의 의도한 변형으로 빠른 시간에 완성할 수 있게 된다.

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Bending Assessment of Antisymmetric Angle-ply Composite Sandwich Plates with Various Shear Deformation Functions (전단변형함수에 따른 역대칭 앵글-플라이 복합면재를 갖는 샌드위치판의 휨거동 평가)

  • Park, Weon-Tae;Chun, Kyoung-Sik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • 제12권11호
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    • pp.5347-5356
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    • 2011
  • In this paper, we compared various shear deformation functions for modelling anti-symmetric composite sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, As a result, reasonable accuracy for investigated problems are predicted. Particularly, The present results show that the use of exponential shear deformation theory provides very good solutions for composite sandwich plates.

Thermoelastic deformation and stress analysis of a FGM rectangular Plate (경사기능재료 사각 판의 열 탄성 변형과 응력 해석)

  • Kim,Gwi-Seop
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • 제31권1호
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    • pp.34-41
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    • 2003
  • A Green's function approach is adopted for analyzing the thermoelastic deformation and stress analysis of a plate made of functionally graded materials (FGMs). The solution to the 3-dimensional steady temperature is obtained by using the laminate theory. The fundamental equations for thermoelastic problems are derived in terms of out-plane deformation and in-plane force, separately. The thermoelastic deformation and the stress distributions due to the bending and in-plane forces are analyzed by using a Green’Às function based on the Galerkin method. The eigenfunctions of the Galerkin Green's function for the thermoelastic deformation and the stress distributions are approximated in terms of a series of admissible functions that satisfy the homogeneous boundary conditions of the rectangular plate. Numerical examples are carried out and effects of material properties on thermoelastic behaviors are discussed.

Analytical Study on Characteristics of von Mises Yield Criterion under Plane Strain Condition (평면변형률상태에서의 von Mises 항복기준의 특성에 관한 이론적 연구)

  • Lee, Seung-Hyun;Kim, Byoung-Il
    • Journal of the Korea Academia-Industrial cooperation Society
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    • 제16권9호
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    • pp.6391-6396
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    • 2015
  • In order to investigate characteristics of the von Mises yield criterion under 2 dimensional stress condition, two cases of plane strain were studied. One of which was for zero elastic strain and the other was for zero plastic strain increment. Yield functions for the plane strain condition for zero elastic strain and for the plane stress condition were represented as ellipse and the two yield functions were compared by ratios of major axis, minor axis and eccentricity and it was seen that the ratio of minor axis was the same between the two cases and the ratios of major axis and eccentricity were functions of Poisson's ratio. Region of elastic behavior obtained from considering plane strain condition of zero elastic strain increases as the Poisson's ratio increases. Yield function for plane strain obtained from considering zero plastic increment and associate flow rule was displayed as straight line and the region of elastic behavior was greater than that for the case of plane stress.

Deformation Measure in Three-Dimensional Duct Flows (3차원 덕트유동에서의 변형 척도)

  • 권태헌
    • The Korean Journal of Rheology
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    • 제6권1호
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    • pp.60-65
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    • 1994
  • 덕트유동에서 재료입자의 변형은 그 입자의 초기위치와 방향에 의존한다. 이러한 변 형과정을 이해하기 위하여 변형구배텐서를 덕트 전단면에 걸쳐 초기위치와 시간의 함수로 계산할수 있어야한다. 따라서 본 논문은 입자궤적 궤도에 접하는 직교좌표계를 선택하여 3 차원 덕트유동에서의 변형구배텐서를 덕트 전단면에 걸처 초기위치와 시간의 함수로 계산할 수 있어야한다. 따라서 본 논문은 입자궤적 궤도에 접하는 직교좌표계를 선택하여 3차원 덕 트 유동에서의 변형구배텐서를 효과적으로 계산할수 있는 간단한 방법을 제안한다. 이러한 특수 좌표계로부터 구해진 변형구배텐서가 덕트유동에서의 변형척도를 이해하는데에 매우 중요함을 알수 있었다.

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A Study on the Characterization of Gum Vulcanizates by Strain Energy Function of Hyperelastic Material (가황 고무의 변형 에너지 함수를 통한 재료 특성화 방법에 관한 연구)

  • 박현철;윤성기
    • Transactions of the Korean Society of Mechanical Engineers
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    • 제16권7호
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    • pp.1341-1350
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    • 1992
  • This paper addresses the practical problem of finding a useful strain energy function of the incompressible rubberlike materials. It examines methods by which the form of the functions are determined and shows how the selection of experimental data influences the resulting form of the functions. From this information, an optimal choice of the form of energy functions becomes possible. Phenomenological theories used in this paper are limited to elastic, incompressible material models. Due to the nature of the phenomenological methods, these theories are accurate only for the materials treated. However, they serve as a starting basis for the study of more complicated material behaviors.

Derivation and error analysis of the optical transfer function using two-pupil synthesis in the modified triangular interferometer (변형 삼각 간섭계의 two-pupil 합성을 이용한 광전달 함수의 유도와 오차원인 분석)

  • Kim, Soo-Gil
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 한국조명전기설비학회 2004년도 학술대회 논문집
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    • pp.179-181
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    • 2004
  • 본 논문에서는 변형 삼각간섭계를 이용한 간섭패턴 생성과 관련한 몇 가지 실험결과를 제시한다. Two-pupil 합성 방법을 이용하여 변형 삼각간섭계의 광전달함수를 합성하고 광전달함수에 내포된 오차에 대한 원인을 분석해 보았다.

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A study on the actuator arrays of a deformable mirror for adaptive optics (적응광학계 변형거울의 구동기 배열에 따른 성능 변화 연구)

  • 엄태경;이완술;윤성기;이준호
    • Korean Journal of Optics and Photonics
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    • 제13권5호
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    • pp.442-448
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    • 2002
  • In the earth telescope for space observation, the adaptive optical (AO) system that immediately compensates atmospheric turbulence is helpful to get high-resolution images. An adaptive optics for earth telescopes is very attractive, since the Earth telescopes can be made at lower costs and have larger optical apertures than space telescopes. Generally. in order to remove the wavefront error produced by atmospheric turbulence, a deformable mirror, whose surface shape changes in a controllable way in response to a drive signal, is used. The characteristics and patterns of actuators are very important for the effective control of a deformable mirror. The mirror surface shape deformed by one actuator is defined as an influence function and the deformable mirror can be effectively modeled and designed using this influence function. In this paper. by simplifying the actual influence function obtained by FEM analyses into the Gaussian function and introducing the coupling coefficient between actuators, the influence function is constructed. The proper coupling coefficient of the target system can be obtained by performance analyses of a deformable mirror for various coupling coefficients. Using the constructed influence function, the deformable mirror with equally spaced triangular and square actuator patterns is analyzed for various spacings and an effective actuator pattern is proposed.