• Title/Summary/Keyword: 탄성법

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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.

복합체 응력해석의 광탄성 실험법

  • 황재석
    • Journal of the KSME
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    • v.31 no.3
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    • pp.276-292
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    • 1991
  • 복합체 구조물을 광탄성 실험법으로 응력해석 하고자 할 때는 반드시 아래의 사항이 연구되어야 한다. (1) 복합체 구조물의 이방성 성질과 상사되는 광탄성 재료가 개발되어야 한다. (2) 광탄성 재료의 기본 물성치($E_L,E_r,G_{LT},V_{LT}$)와 응력 프린지치($f_L,f_r,f_{LT}$) 등이 측정되어야 한다. (3) 복합체 구조물의 응력 해석을 할 수 있는 광탄성 실험의 실험 방법이 개 발되어야 한다. 이론적으로 규명하기 힘들고 역학적으로 논란되고 있거나 인명에 관계되는 기 계나 구조물 등을 이론적으로 해결하였으나 실험적으로 확인하려고 할 때 광탄성 실험법은 확인 실험법으로써 매우 유용한 방법이므로 아래와 같이 요구된다. 광탄성 실험법이 앞에서 나열된 것처럼 파괴 역학의 여러 분야에도 유용하게 이용될 뿐만 아니라 의학 분야에도 매우 유용하게 이용되고 있다.

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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.

선형 탄성방정식의 유한요소해법과 잠김현상

  • 이창옥
    • Communications of the Korean Mathematical Society
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    • v.16 no.4
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    • pp.543-566
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    • 2001
  • 이차원 선형 탄성방정식을 소개하고 약한 형식 타원성을 보여준다(P-1)순응 유한요소를 사용할 때 나타나는 잠김현상을 설명하고 그 해결책으로서 비순응 유한요소법과 penalty 항을 가진 혼합문제, 일계 최소자승법 등을 소개한다.

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Inelastic Design of Continuous-Span Composite Plate Girder Bridges by LRFD Method (비탄성 설계법에 의한 플레이트 거더 연속교의 LRFD 설계)

  • Cho, Eun Young;Shin, Dong Ku
    • Journal of Korean Society of Steel Construction
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    • v.20 no.4
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    • pp.469-481
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    • 2008
  • The inelastic design of the three-span continuous composite plate girder with consideration of moment redistribution over the interior pier is performed using the LRFD method. The design of the girder section, based on the inelastic method, is compared with that by the conventional elastic design. The length of the center span for the three-span continuous bridge ranges from 40m to 70m and the relative ratio of the span length is assumed to be 4:5:4. Although the AASHTO- LRFD specifications are applied in the design of the composite girder, the recently proposed new design live load is used. After determining the maximum positive and negative sections by the elastic design for various limit states, the amount of moment redistributed to the maximum positive moment section is calculated. With the increased design moment due to moment redistribution from the interior pier, the maximum positive section designed by the elastic method is checked for the strength limit state and the service limit state. The maximum negative moment section is redesigned by reducing the size of the steel girder relative to the section designed by the elastic method and the new section is checked for the service limit state. Based on the design results for the five bridges considered in this study, it is estimated that about 23% of steel can be saved in the interior pier section if it is designed by the inelastic method compared with that designed by the elastic method.

A Comparative Study of LRFD Methods Using Linear Elastic and Nonlinear Inelastic Analysis (선형탄성해석 및 비선형비탄성해석을 이용한 LRFD 설계법의 비교 연구)

  • Jang, Eun Seok;Park, Jung Woong;Kim, Seung Eock
    • Journal of Korean Society of Steel Construction
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    • v.19 no.6
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    • pp.633-642
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    • 2007
  • Although the Load and Resistance Factor Design (LRFD) method is an advanced design approach, it does not accurately capture the interaction between individual members and structural system. A nonlinear inelastic analysis for the entire structure is required to solve this problem. According to many design codes of advanced countries, a nonlinear inelastic analysis can be applied to predict the structural behavior and strength reasonably. In this study, an LRFD design method using practical nonlinear inelastic analysis was proposed. Design examples using the proposed method waspresented, and the economical efficiency and adequacy of the proposed method was investigated by comparing the design results with that of the AISC-LRFD. It has been consequently demonstrated that the proposed method can reduce the construction cost through savings in steel.

An Improved Stability Design of Plane Frames using System Buckling and Second-order Elastic Analysis (탄성좌굴 고유치 및 2차 탄성해석법을 이용한 평면강절프레임의 개선된 좌굴설계법)

  • Song, Ju-Young;Kyung, Yong-Soo;Kim, Nam-Il;Kim, Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.2
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    • pp.159-168
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    • 2005
  • An improved stability design method for beam-columns of plane frames is proposed based on system buckling analysis and second-order elastic analysis. For this, the tangent stiffness matrix of beam-column elements is first derived using stability functions and a procedure for evaluating effective buckling lengths is reviewed using elastic system buckling analysis. And then the second-order analysis procedure is presented considering $P-\Delta$ effects and is compared with the closed-form solution through numerical examples. Design examples showing the validity of the proposed method we presented and their numerical results are compared with those obtained from the conventional stability design methods. Finally some useful conclusions are drawn.

Stress Measurement around a Circular Role in a Cantilever Beam under Bending Moment Using Strain Gage and Reflective Photoelasticity (스트레인 게이지와 반사형 광탄성법을 이용한 굽힘을 받는 외팔보 시편 구멍 주위의 응력측정)

  • Baek, Tae-Hyun;Park, Tae-Geun;Yang, Min-Bok
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.5
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    • pp.329-335
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    • 2006
  • It is necessary to study on the stress concentration experimentally, which is the main reason to avoid mechanical dilapidation and failure, when designing a mechanical structure. Stress concentration factor of a specimen of cantilever beam with a circular hole in the center was measured using both strain gage and photoelastic methods in this paper. In strain-gage measurement, three strain gages along the line near a hole of the specimen were installed and maximum strain was extrapolated from three measurements. In photoelastic measurement, two methods were employed. First, the Babinet-Soleil compensation method was used to measure the maximum strain. Secondly, photoelastic 4-step phase shilling method was applied to observe the strain distribution around the hole. Measurements obtained by different experiments were comparable within the range of experimental error.

Inversion of SAW Dispersion Data to Determine the Elastic Constants of a Thin film (표면파속도와 역산법에 의한 박막탄성계수 산출)

  • 김진오
    • Journal of the KSME
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    • v.34 no.7
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    • pp.510-516
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    • 1994
  • 탄성파의 속도는 파동 전파 매질의 밀도와 탄선계수에 달려 있으므로, 박막이 입혀진 기판에서 전파하는 표면파에 대해서 기판과 박막의 밀도와 탄성계수 및 박막의 두께 등을 알면 전파 속 도를 계산할 수 있다. 박막의 탄성계수를 모르는 경우에는 표면파 속도를 측정하여 역으로 탄 성계수를 산출할 수 있다. 이러한 역산과정에는 일반적인 비선형 방정식의 curve-fitting에 이용될 수 있는 simplex법이 효율적으로 활용된다. 이 글에서는 표면파 속도를 측정하고 그 데이터로 부터 역산하여 박막의 탄성계수를 구하는 원리와 과정을 설명한다.

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공주 공산성 원형연못의 지반에 대한 탄성파 굴절법 탐사

  • 변성환;오진용;서만철
    • 한국지구물리탐사학회:학술대회논문집
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    • 2004.06a
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    • pp.132-138
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    • 2004
  • 탄성파 탐사는 인공지진파를 이용하여 지표면 하부의 물성을 알아내는 지구물리탐사로서 20 세기 초부터 석유탐사와 공학적 지반조사에 가장 널리 사용되었다. 굴절법 탄성파 탐사는 지층의 탄성파 속도를 알아내는 방법으로서 최근에는 석조문화재 등의 지반특성 조사에서 사용된 예가 있다. 이번 연구에서는 공주 공산성의 쌍수정 광장에 위치하는 공산성 원형연못 주변의 지반에 대하여 굴절법 탐사를 실시하였다. 쌍수정 광장은 기존의 발굴조사를 통하여 백제 추정왕궁지가 위치한 곳으로 알려졌으며, 광장 남쪽에 원형연못(상면직경 7.3 m, 바닥직경 4.78 m, 높이 3 m)도 발굴되었다. 원형연못 주변에 5개 탄성파 측선을 설치하였고, 해머 타격점과 수신기의 배열을 3가지 다른 방식을 적용하여 24 m, 31 m, 48 m 측선깊이의 굴절법 자료를 얻었다. 대체로 공산성 원형연못 주변의 지반은 3개 층으로 구성되어 있다. 각 층의 겉보기 속도는 약 261${\~}$391 m/s, 약 591${\~}$992 m/s, 약 1950${\~}$3230 m/s이며, 첫 번째와 두 번째 층의 두께는 각각 약 2${\~}$2.4 m 와 4.6${\~}$8.6 m이다. 일반적으로 최하부 층의 속도는 기반암, 상부층들의 속도는 풍화토에 대응한다. 그러나 두 번째 층의 주시곡선 형태와 속도범위는 국내 석탑 문화재 하부의 것과 유사한 것으로 보아 공산성 연못주변은 인공적인 기초지반의 가능성을 제기하며, 그렇다면 공산성 원형연못은 파내려 간 것보다는 쌓아 올렸을 것이다.

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