• Title/Summary/Keyword: 위상이동법

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Stress Analysis of an Edge-Cracked Plate by using Photoelastic Fringe Phase Shifting Method (광탄성프린지 위상이동법을 이용한 에지균열판의 응력 해석)

  • Baek, Tae-Hyun;Kim, Myung-Soo;Cho, Sung-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.20 no.3
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    • pp.213-220
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    • 2000
  • The method of photoelasticity allows one to obtain principal stress differences and principal stress directions in a photoelastic model. In the classical approach, the photoelastic parameters are measured manually point by point. The previous methods require much time and skill in the identification and measurement of photoelastic data. Fringe phase shifting method has been recently developed and widely used to measure and analyze fringe data in photo-mechanics. This paper presents the test results of photoelastic fringe phase shifting technique for the stress analysis of a circular disk under compression and an edge-cracked plate subjected to tensile load. The technique used here requires four phase stepped photoelastic images obtained from a circular polariscope by rotating the analyzer at $0^{\circ}$, $45^{\circ}$, $90^{\circ}$ and $135^{\circ}$. Experimental results are compared with those or FEM. Good agreement between the results can be observed. However, some error may be included if the technique is used to general direction which is not parallel to isoclinic fringe.

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Measurement of Isochromatic Fringe Distribution of a TV Glass Panel by Use of Photoelastic 4-step Phase Shifting Method (광탄성 4단계 위상이동법을 이용한 TV유리패널의 등색프린지 분포측정)

  • Baek, Tae-Hyun;Kim, Myung-Soo;Cho, Seong-Ho
    • Journal of the Korean Society for Nondestructive Testing
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    • v.25 no.1
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    • pp.1-8
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    • 2005
  • This paper presents the experimental results measured by photoelastic 4-step phase shifting method for the isochromatic fringe distribution in a TV glass panel. In the conventional photoelastic method, the isochromatic fringe orders are measured manually point by point. The 4-step phase shifting method uses four images obtained from a circular polariscope by rotating the analyzer to $0^{\circ},\;45^{\circ},\;90^{\circ}$, and $135^{\circ}$. In order to use the 4-step phase shifting method, the elements of a polariscope should be aligned to isoclinic direction at a point and/or along a line where isochromatic fringe distribution is measured. Experimental results obtained from the 4-step phase shifting method are compared with those measured by the Senarmont compensation method. Both results are well agreed. Then, isochromatic fringe distributions in the TV glass panel that is heat-treated before and after are compared. Maximum and minimum isochromatic fringe orders in the TV glass panel with before- and after-heat treatment are changed approximately two times.

Fringe Analysis around an Inclined Crack Tip of Finite-Width Plate under Tensile Load by Photoelastic Phase-Shifting Method (광탄성 위상이동법을 이용한 인장판 경사균열 선단주위의 프린지 해석)

  • Li, Weizheng;Baek, Tae-Hyun;Hong, Dong-Pyo;Lee, Byung-Hee;Seo, Jin
    • Journal of the Korean Society for Nondestructive Testing
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    • v.32 no.1
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    • pp.27-33
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    • 2012
  • Photoelasticity is a technique of experimental methods and has been widely used in various domains of engineering to determine the stress distribution of structures. Without complicated mathematical formulation, this technique can conveniently provide a fairly accurate whole-field stress analysis for a mechanical structure. Here, stress distribution around an inclined crack tip of finite-width plate is studied by 8-step phase-shifting method. This method is a kind of photoelastic phase-shifting techniques and can be used for the determination of the phase values of isochromatics and isoclinics. According to stress-optic law, the stress distribution could be obtained from fringe patterns. The results obtained by polariscope arrangement combined with 8-step method and ABAQUS FEM simulations are compared with each other. Good agreement between them shows that 8-step phase-shifting method is reliable and can be used for determination of stress by experiment.

Quantitative Analysis of Holographic Fringe by using Phase Shifting Method (홀로그래피 간섭무늬 해석을 위한 위상변위법 응용연구)

  • 박승옥;권영하;고영욱;강대임
    • Proceedings of the Optical Society of Korea Conference
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    • 1990.07a
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    • pp.73-77
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    • 1990
  • 홀로그래피 간섭무늬로부터 변형의 요철방향을 구하기 위하여 위상변위방법을 응용하였다. 위상변위법에 의하여 물체파의 위상을 변화시켜 이에따른 홀로그래피 간섭무늬의 이동을 측정하였다. 간섭무늬가 일정지점을 중심으로 좌우로 이동하는 현상으로부터 변형의 요철방향을 파악하고 최대지점의 위치를 구할 수 있었다.

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Measurement of Thickness Distribution of $Si_3N_4$ Membrane Using Phase-Shifting Interferometer (위상이동 간섭계를 이용한 $Si_3N_4$ 박막의 두께 분포 측정)

  • Lee, Jung-Hyun;Jeong, Seung-Jun;Kang, Jeon-Woong;Jeon, Yun-Seong;Hong, Chung-Ki
    • Journal of the Korean Society for Nondestructive Testing
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    • v.25 no.2
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    • pp.67-73
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    • 2005
  • The thickness of a Si3N4 thin film with a 100m nominal thickness was measured by use of a Mach-Zehnder interferometer. The map of the phase-delay through the thin film was obtained by an interframe intensity-correlation-matrix method that could elliminate phase-shifting errors. After the spatial phase-shifting errors were treated with a least-squares method, the reference to surface of the phase map was estimated. The overall accuracy of the method was found to be 5nm.

Stress Distribution of a Crane Hook by Photoelasticty Using 4-step Phase Shifting Method and finite Element Method (광탄성 4단계 위상 이동법과 유한요소법에 의한 크레인 훅의 응력분포 비교)

  • Baek, Tae-Hyun;Kim, Whan;Lee, Chun-Tae
    • Journal of the Korean Society for Nondestructive Testing
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    • v.24 no.1
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    • pp.38-44
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    • 2004
  • An experimental study for a crane hook was performed to investigate the stress distribution along a certain line where the maximum and minimum stresses to be developed. On this line, the isoclinic fringe and/or principal stress direction is constant. The crane hook was modeled into a 2-dimensional plate made of urethane rubber called 'Photoflex' The Photoflex is very sensitive to a load and has low photoelastic fringe constant. The Tardy compensation method with the fringe sharpening process and the 4-step phase shifting method, was used for the photoelastic technique. Experimental results by photoelasticity were compared with the calculated stresses from the simple curved beam theory and tile finite element analysis. Ail the results were close to each other.

Simultaneous Determination of Both Surface Profiles of a Bifocal Lens Using Dual-Wavelength Transmission Deflectometry With Liquid (액체와 2 파장 투과형 편향법을 이용한 다초점 렌즈 양면 프로파일 동시측정)

  • Shin, Sanghoon;Yu, Younghun
    • Korean Journal of Optics and Photonics
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    • v.26 no.3
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    • pp.147-154
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    • 2015
  • We propose a method for simultaneously measuring the front and back surface profiles of transparent optical components. The proposed method combines dual-wavelength transmission deflectometry with liquids to record distorted phases at different wavelengths, and then numerically reconstructs the three-dimensional phase information to image the front and back surfaces of the lens. We propose a theoretical model to determine the surface information, and a bifocal lens is experimentally investigated. Unlike conventional transmission deflectometry, our proposed method supports direct observation of the front and back surface profiles of the optical elements.

3-D Profilometry by Phase Shifting Profilometry (위상이동법을 이용한 3차원 형상측정법의 연구)

  • 오동석;남기봉
    • Korean Journal of Optics and Photonics
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    • v.5 no.2
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    • pp.191-197
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    • 1994
  • We investigated the properties of various methods of 3 dimensional profilometry to choose the phase shifting technique for the reconstruction of the shape of a given specimen. The pattern was generated by a Twyman-Green interferometer and a PZT was used to shift the fringes on the target surface. The shape was calculated with Hariharan algorithm within the uncertainty of a scaling factor. The optical noise inherent in the laser source was observed to influence the final outcome to a great extent and the need for an exact calibration was noted. noted.

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A New Algorithm for Determination of Reference Phases in Phase-Shifting Interferometry (위상변이간섭법에서 기준위상 결정을 위한 새로운 알고리즘 개발)

  • 한건수
    • Korean Journal of Optics and Photonics
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    • v.4 no.4
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    • pp.397-402
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    • 1993
  • This paper presents a new computational algorithm of phase-shifting interferometry which can effectively eliminate the uncertainty errors of the reference phases encountered in obtaining multiple interferograms. The algorithm treats the reference phases as additional unknowns and determines their exact values by analyzing interferograms using numerical least square technique. A series of simulations prove that this algorithm can improve measuring accuracy being unaffected by the nonlinear and random errors of phase-shifters.

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Hybrid Stress Analysis around a Circular Hole in a Tensile Plate by Use of Phase Shifting Photoelasticity (광탄성 위상이동법에 의한 인장시편 원형 구멍주위 하이브리드 응력해석)

  • Baek, Tae-Hyun;Lee, Choon-Tae;Yang, Min-Bok
    • Journal of the Korean Society for Nondestructive Testing
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    • v.27 no.1
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    • pp.15-22
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    • 2007
  • A hybrid experimental-numerical method is presented for determining the stresses around a circular hole in a finite-width, tensile loaded plate. Measured fringe orders along straight lines provided the input information on the external boundary of the hybrid element. In order to see the effects of varying stress field, different numbers of terms in a power-series representation of the complex type conformal mapping stress function were tested. For qualitative comparison, actual isochromatic fringes were compared with reconstructed theoretical fringes using stress-optic law. For quantitative comparison, relative errors and standard deviations with respective to relative errors were analyzed for all measured points by changing the number of terms of stress function. The hybrid results are highly comparable with those predicted by FEA. The results show that this approach is effective and promising because isochromatic data along the straight lines in photoelasticity can be conveniently measured by use of phase shifting photoelasticity.