• 제목/요약/키워드: Displacement-strain relationship

검색결과 119건 처리시간 0.025초

날개 대변형 예측의 정확성 향상을 위한 변형률 보정 (The Strain Corrections for Accuracy Improvement to Predict Large Deformation of Wings)

  • 이한솔;김인걸;박승현;김민성
    • 한국항공우주학회지
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    • 제44권1호
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    • pp.1-11
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    • 2016
  • 큰 가로세로비를 가지는 유연날개의 변형정보는 구조 건전성 평가를 위한 실시간 모니터링에 필요하다. 비행 중인 날개 구조 대변형은 날개 외피의 변형률과 곡률의 관계식을 기반으로 한 비선형 변위 예측 알고리즘을 통해 예측될 수 있다. 그러나 동체에 고정된 날개의 기하학적인 형상으로 인하여 고정단 부근에서의 변형률 분포는 복잡한 양상을 나타내며, 변형률 센서가 부착된 센싱라인의 코드방향 위치에 따라 변위가 다르게 예측될 수 있다. 본 논문에서는 스팬방향 변형률의 보정을 통하여 변형률 센싱라인의 코드방향 위치에 관계없이 예측변위의 정확도를 향상시키는 연구를 수행하였다. 변형률 보정을 위하여 스팬방향 및 코드방향 변형률의 비, 재료의 포아송비, 보와 평판 모델의 변형률 비를 이용하였다. 보정된 변형률을 이용하여 예측한 변위는 해석변위와 잘 일치하였으며, 이를 실험을 통하여 검증하였다.

Deformation estimation of plane-curved structures using the NURBS-based inverse finite element method

  • Runzhou You;Liang Ren;Tinghua Yi ;Hongnan Li
    • Structural Engineering and Mechanics
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    • 제88권1호
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    • pp.83-94
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    • 2023
  • An accurate and highly efficient inverse element labelled iPCB is developed based on the inverse finite element method (iFEM) for real-time shape estimation of plane-curved structures (such as arch bridges) utilizing onboard strain data. This inverse problem, named shape sensing, is vital for the design of smart structures and structural health monitoring (SHM) procedures. The iPCB formulation is defined based on a least-squares variational principle that employs curved Timoshenko beam theory as its baseline. The accurate strain-displacement relationship considering tension-bending coupling is used to establish theoretical and measured section strains. The displacement fields of the isoparametric element iPCB are interpolated utilizing nonuniform rational B-spline (NURBS) basis functions, enabling exact geometric modelling even with a very coarse mesh density. The present formulation is completely free from membrane and shear locking. Numerical validation examples for different curved structures subjected to different loading conditions have been performed and have demonstrated the excellent prediction capability of iPCBs. The present formulation has also been shown to be practical and robust since relatively accurate predictions can be obtained even omitting the shear deformation contributions and considering polluted strain measures. The current element offers a promising tool for real-time shape estimation of plane-curved structures.

터널천단변위와 암석 또는 암반의 일축압축강도를 이용한 시공 중인 터널의 예비 안정성 평가 (The Pre-Evaluation of Stability during Tunnel Excavation using Unconfined Compression Strength of Intact Rock or Rock Mass and Crown Settlement Data)

  • 박영화;문홍득;하만복
    • 한국도로학회논문집
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    • 제17권6호
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    • pp.27-32
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    • 2015
  • PURPOSES : It is difficult to estimate tunnel stability because of lack of timely information during tunnel excavation. Tunnel deformability refers to the capacity of rock to strain under applied loads or unloads during tunnel excavation. This study was conducted to analyze a methods of pre-evaluation of stability during tunnel construction using the critical strain concept, which is applied to the results of tunnel settlement data and unconfined compression strength of intact rock or rock mass at the tunnel construction site. METHODS : Based on the critical strain concept, the pre-evaluation of stability of a tunnel was performed in the Daegu region, at a tunnel through andesite and granite rock. The critical strain concept is a method of predicting tunnel behavior from tunnel crown settlement data using the critical strain chart that is obtained from the relationship between strain and the unconfined compression strength of intact rock in a laboratory. RESULTS : In a pre-evaluation of stability of a tunnel, only actually measured crown settlement data is plotted on the lower position of the critical strain chart, to be compared with the total displacement of crown settlement, including precedent settlement and displacement data from before the settlement measurement. However, both cases show almost the same tunnel behavior. In an evaluation using rock mass instead of intact rock, the data for the rock mass strength is plotted on the lower portion of the critical strain chart, as a way to compare to the data for intact rock strength. CONCLUSIONS : From the results of the pre-evaluation of stability of the tunnel using the critical strain chart, we reaffirmed that it is possible to promptly evaluate the stability of a tunnel under construction. Moreover, this research shows that a safety evaluation using the actual instrumented crown settlement data with the unconfined compression strength of intact rock, rather than with the unconfined compression strength of a rock mass in the tunnel working face, is more conservative.

변형률을 이용한 외팔보의 구조 대변형 예측 (Prediction for Large Deformation of Cantilever Beam Using Strains)

  • 박승현;김인걸;이한솔;김민성
    • 한국항공우주학회지
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    • 제43권5호
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    • pp.396-404
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    • 2015
  • 무인기의 날개는 고고도 장기체류에 적합하도록 가로세로비가 크며, 비행 중 구조 대변형이 발생한다. 비행 중 날개 구조의 실시간 변형 상태 파악을 위해 변위-변형률 관계를 이용하여 비행체의 구조 건전성 및 관련 하중 상태 평가, 이상 진동 현상 발견 및 조종성 향상과 같은 영역에서 활용할 수 있다. 본 논문에서는 비행 중 변형이 발생하는 날개 구조물을 외팔보로 가정하여 구조 대변형을 보다 간편하게 예측하기 위한 변형률 기반의 비선형성을 고려한 변위 예측 알고리즘을 작성하였다. 변위 예측식은 외팔보의 다양한 끝단 변위 조건에서 이루어진 구조 실험과 유한요소 해석 결과의 비교를 통하여 검증하였다. 변형률은 스트레인 게이지로부터 취득한 값을 사용하였으며, 변형률을 이용하여 예측된 변위는 레이저 변위 센서로 측정한 변위와 잘 일치하였다.

철근콘크리트 부재의 부착특성을 고려한 휨모멘트-곡률 관계에 관한연구 (Study on Relationship of Flexural Moment-Curvature Based on Bond Property of Reinforced Concrete Member)

  • 장일영
    • 콘크리트학회지
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    • 제3권4호
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    • pp.97-106
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    • 1991
  • 본 연구의 목적은 휨거동을 하는 철근콘크리트 부재의 변위를 해석적으로 정확하게 구하기 위해 평균 휨균열간격 및 휨모멘트-등가곡률 관계(M-$\Phi_eg$)의 해석법을 제안한 것이다. 제안식은 비균열 구간에서의 철근과 콘크리트 간의 부착특성 및 재료의 소성영역을 고려하여 정확한 곡률분포를 계산함으로써 구할 수 있다. 제안된 해석법의 타당성을 검증하기 위해 34개의 철근콘크리트 보 부재를 제작, 휨재하 실험을 실시하였으며 해석치와 비교검토하였다. 그 결과 실험치와 해석치는 매우 잘 일치하여 본 해석법의 실용성 및 정확성이 입증되었다.

광섬유 브래그 격자 변형률 센서용 현공진기의 고정밀 측정 (High Precision Measurement for String Resonator used in FBG Strain Sensors)

  • 이영균;송인천;정성호;이병하;이선규
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2001년도 춘계학술대회 논문집
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    • pp.135-139
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    • 2001
  • This paper describes a string resonator that is used for the interrogation system of a Fiber Bragg Grating(FBG) strain sensor. The strain on the fiber piece is calculated from the measured frequency based on that the natural frequency of a string is a function of the applied absolute strain. Existing research considered a fiber as a string, but a fiber is not a string in the strict sense due to its bending stiffness, thus the fiber should be modeled as a beam accompanied with an axial force. In the vibration modeling, the relationship between the strain and the natural frequency is derived, and then the resonance condition is described in terms of both the phase and the mode shape for sustaining resonant motion. Several experiments verify the effectiveness of the proposed model of the fiber. The performance of the string resonator is analyzed by measuring the frequency change according to the applied strains in the dynamic range of 1100$\mu\varepsilon$ referred to the displacement from capacitance sensor. From the experimental results, the implemented string resonator provides the accuracy of $\pm$3$\mu\varepsilon$, the quasi-static resolution of ~0.1$\mu\varepsilon$(rms) which amount to be $\pm$0.17$\mu\textrm{m}$ and ~6nm respectively, in case of fiber length of 56mm. For a dynamic strain, it can provide the accuracy of ~3$\mu\varepsilon$ until the frequency comes to 8Hz. As a consequence, the string resonator proposed for FBG sensor provides the high accuracy and the high resolution in strain measurement, and also it is expecting to be used, for the application, to not only strain but also displacement measuring device.

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변위 측정을 기본으로 한 구멍뚫기방법에 의한 잔류응력 측정 방법 (Determination of Residual Stress by the Hole Drilling Method Based on Displacement Measurement)

  • 신동일;주진원
    • 대한기계학회논문집A
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    • 제29권11호
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    • pp.1542-1550
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    • 2005
  • This paper presents the numerical procedure for calculating non-uniform residual stresses based on relieved displacements obtained from incremental hole drilling. The relationship between the in-plane displacement produced by introducing a blind hole and the corresponding residual stress is established. Finite element calculations are described to evaluate the relieved coefficients required for the determination of non-uniform residual stresses. Validity of the proposed method has been tested through three axisymmetric test examples and two three-dimensional examples. As a result of . simulation on the test examples, it is found that this numerical procedure is well adopted to measuring non-uniform residual stress in the full hole depth range of the hole diameter from the surface. The accuracy of the hole drilling method with displacement measurement is discussed, comparing tile method with strain measurement

Experiment and simulation analysis on full scale double-layer concrete shell

  • Thanh Quang Khai Lam;Thi My Dung Do
    • Computers and Concrete
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    • 제31권1호
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    • pp.9-21
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    • 2023
  • The published studies usually used analytical method, numerical methods or experimental method to determine the stress-strain state and displacement of the single-layer or multi-layer curved shell types, but with a small scale model. However, a full scale multi-layer doubly curved concrete shell roof model should be researched. This paper presents the results of the experiment and simulation analysis involving stress-strain state, sliding between layers, the formation and development of the full scale double-layer doubly curved concrete shell roof when this shell begins to crack. The results of the this study have constructed the load-sliding strain relationship; strain diagram; stress diagram in the shell layers; the Nx, Ny membrane force diagram and deflection of shell. Thisresults by experimental method on a full scale model of concrete have clarified the working of multi-layer doubly curved concrete shell roof. The experimental and simulation results are compared with each other and compared with the Sap2000 software.

콘크리트 충전형 압축부재의 단면특성에 따른 구속효과 평가 (Evaluation for Confined Effects by the Sectional Properties of Concrete Filled Steel Tube Columns)

  • 박국동;황원섭;김희주;전명일
    • 한국강구조학회 논문집
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    • 제22권4호
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    • pp.365-375
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    • 2010
  • 콘크리트 충전형 합성부재는 압축하중 상태에서 강재에 의한 콘크리트의 구속효과와 콘크리트에 의한 강재의 국부좌굴에 대한 보강효과를 기대할 수 있는 압축부재이다. 기존의 연구결과를 실험결과와 비교한 후, 구속효과가 하중-변위 관계에 미치는 영향을 평가하여 기존의 응력-변형률 관계를 수정하였다. 수정된 응력-변형률 관계를 적용한 비선형 수치해석 프로그램을 작성하여 단면특성과 재료특성에 따른 각각의 설계 변수들이 하중-변위 관계와 모멘트-곡률 관계에 미치는 영향을 평가하였다.