• 제목/요약/키워드: Fringe Multiplication

검색결과 8건 처리시간 0.02초

광탄성법을 이용한 곡선보 평판의 응력분포 해석 (Analysis of Stress Distribution of a Curved Beam Using Photoelasticity)

  • 백태현;김명수;김수일
    • 비파괴검사학회지
    • /
    • 제19권3호
    • /
    • pp.200-206
    • /
    • 1999
  • 광탄성법을 이용하여 인장하중을 받는 곡선보의 중앙에서 하중축과 직교하는 일직선상에 축방향 응력성분을 측정하였다. 광탄성 데이터의 정밀 측정을 위하여 영상처리 시스템을 이용, 원래의 프린지를 명시야 배열과 암시야 배열의 등색선프린지로부터 2배로 증식시키고 세선처리를 하였다. 세선처리된 광탄성 영상으로부터 1/4차수(N=0. 1/4, 2/4. 3/4. 1, 5/4...)마다 프린지 차수를 읽을 수 있으므로 정확한 위치에서 정량적인 측정이 가능하다. 광탄성 실험에서 곡선보의 인장 하중을 3종류로 변화하였을 때 이론식에 의한 응력분포와 일치하는 경향을 나타냈으나, 장탄성법에 의한 측정결과는 이론값과 8%이내의 차이가 나타났다. 이러한 원인은 광탄성 시험편 가공시 하중축과 치수가 이론식에 적용된 조건과 다소 상이한 것으로 판단되며, 정밀하게 가공된 시험편을 사용하여 측정할 경우 실험에 의한 오차는 감소될 것으로 추정된다. 이 실험으로부터 광탄성법에 의한 응력측정시 프린지 증식 및 세선처리 기법을 적용할 경우 정밀한 응력측정이 가능함을 확인할 수 있었다.

  • PDF

광탄성 프린지해석을 위한 영상처리기법 개발 (Development of Image Processing Technique for Photoelastic Fringe Analysis)

  • 백태현;이재춘
    • 대한기계학회논문집
    • /
    • 제18권10호
    • /
    • pp.2577-2584
    • /
    • 1994
  • A method of digital image processing thechnique, which can multiply and sharpen isochromatic fringes in photoelasticity on both occasions, is developed. To test the method, photoelastic fringe patterns of a disk compressed by two diametrically opposite cocentrated loads are simulated and these patterns are processed to yield sharpened lines. The method is then aplied to measurement of residual stresses in glass bar. The procedure is proved to be capable of extraction sharpened lines accurately from photoelastic multiplied fringes, and yields good experimental results consistently and precisely.

광탄성법에 의한 유리봉 잔류응력의 정밀측정 (Accurate Measurement of Residual Stresses of Glass Rods by Photoelasticity)

  • 백태현
    • 대한기계학회논문집A
    • /
    • 제20권5호
    • /
    • pp.1524-1533
    • /
    • 1996
  • Risidual stress of cylindrical glass rods are measured by photoelasticity to study the variation of stresses with respect to heat treatment temperatures. In order to measure the stresses accurately, fringe sharpening and multiplication techniques are applied to the determination of photoelastic fringe orders. Filon's separationmethod is used to resolve circumferential and redial stress ocmponents from isochromatic fringes which are the same as in-plane maximum shearing stresses. According to the photoelastic measurements, residual stress is increased as the heat treatment temperature of the rods is raised from $560^{\circ}C$ to $650^{\circ}C$ All the circumferential stress components are changed from tensile stresses to compressive ones at approximate $R_m$/$R_o$ = 0.6, where $R_o$/ is outer radius and $R_m$any measured radius. This analysis shows that residual stresses of the glass rods approach zero if the rods are heat-treated near the strain point.

Determination of Stress Intensity Factor $K_I$ from Two Fringe Orders by Fringe Multiplication and Sharpening

  • Chen, Lei;Baek, Tae-Hyun
    • 비파괴검사학회지
    • /
    • 제27권6호
    • /
    • pp.550-555
    • /
    • 2007
  • Stress intensity factor is one of the most important parameters in fracture mechanics. Both the stress field distribution and the crack propagation are closely related to these parameters. Due to the complexity of actual engineering problems, it is difficult to calculate the stress intensity factor by theoretical formulation, so photoelasticity method is a good choice. In this paper, modified two parameter method is employed to calculate stress intensity factor for opening mode by using data from more than one photoelastic fringe loop. For getting accurate experiment results, the initial fringes are doubled and sharpened by digital image programs from the fringe patterns obtained by a CCD camera. Photoelastic results are compared with those obtained by the use of empirical equation and FEM. Good agreement shows that the methods utilized in experiments are considerably reliable. The photoelastic experiment can be used for bench mark in theoretical study and other experiments.

등색프린지 데이터를 이용한 인장하중 판재 중앙 균열선단 주위의 하이브리드 광탄성 응력장 해석 (Hybrid Photoelastic Stress Analysis Around a Central Crack Tip in a Tensile Loaded Plate Using Isochromatic Data)

  • 백태현;첸레이
    • 대한기계학회논문집A
    • /
    • 제31권12호
    • /
    • pp.1200-1207
    • /
    • 2007
  • An experimental test is presented for photoelastic stress analysis around a crack tip in tensile loaded plate. The hybrid method coupling photoelastsic fringe inputs calculated by finite element method and complex variable formulations involving conformal mappings and analytical continuity is used to calculate full-field stress around the crack tip in uniaxially loaded, finite width tensile plate. In order to accurately compare calculated fringes with experimental ones, both actual and regenerated photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Regenerated fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within three percent compared with ones obtained by empirical equation and finite element analysis.

등각사상 맵핑 및 광탄성 실험법에 의한 원형구명 주위의 하이브리드 응력장 해석 (Hybrid Full-field Stress Analysis around a Circular Hole in a Tensile Loaded Plate using Conformal Mapping and Photoelastic Experiment)

  • 백태현;김명수;이주훈
    • 대한기계학회논문집A
    • /
    • 제23권6호
    • /
    • pp.988-1000
    • /
    • 1999
  • An experimental study is presented for the effect of number of terms of a pewee series type stress function on stress analysis around a hole in tensile loaded plate. The hybrid method coupling photoelastsic data inputs and complex variable formulations involving conformal mappings and analytical continuity is used to calculate tangential stress on the boundary of the hole in uniaxially loaded, finite width tensile plate. In order to measure isochromatic data accurately, actual photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. For qualitative comparison, actual fringes are compared with calculated ones. For quantitative comparison, percentage errors and standard deviations with respect to percentage errors are caculated for all measured points by changing the number of terms of stress function. The experimental results indicate that stress concentration factors analyzed by the hybrid method are accurate within three percent compared with ones obtained by theoretical and finite element analysis.

마이크로 무아레 간섭계를 이용한 초정밀 변형 측정 (Nano-level High Sensitivity Measurement Using Microscopic Moiré Interferometry)

  • 주진원;김한준
    • 대한기계학회논문집A
    • /
    • 제32권2호
    • /
    • pp.186-193
    • /
    • 2008
  • [ $Moir{\acute{e}}$ ] interferometry is an optical method, providing whole field contour maps of in-plane displacements with high resolution. The demand for enhanced sensitivity in displacement measurements leads to the technique of microscopic $moir{\acute{e}}$ interferometry. The method is an extension of the $moir{\acute{e}}$ interferometry, and employs an optical microscope for the required spatial resolution. In this paper, the sensitivity of $moir{\acute{e}}$ interferometry is enhanced by an order of magnitude using an immersion interferometry and the optical/digital fringe multiplication(O/DFM) method. In fringe patterns, the contour interval represents the displacement of 52 nm per fringe order. In order to estimate the reliability and the applicability of the optical system implemented, the measurements of rigid body displacements of grating mold and the coefficient of thermal expansion(CTE) for an aluminium block are performed. The system developed is applied to the measurement of thermal deformation in a flip chip plastic ball grid array package.