• 제목/요약/키워드: Displacement-strain relationship

검색결과 119건 처리시간 0.023초

Shape sensing with inverse finite element method for slender structures

  • Savino, Pierclaudio;Gherlone, Marco;Tondolo, Francesco
    • Structural Engineering and Mechanics
    • /
    • 제72권2호
    • /
    • pp.217-227
    • /
    • 2019
  • The methodology known as "shape sensing" allows the reconstruction of the displacement field of a structure starting from strain measurements, with considerable implications for structural monitoring, as well as for the control and implementation of smart structures. An approach to shape sensing is based on the inverse Finite Element Method (iFEM) that uses a variational principle enforcing a least-squares compatibility between measured and analytical strain measures. The structural response is reconstructed without the knowledge of the mechanical properties and load conditions but based only on the relationship between displacements and strains. In order to efficiently apply iFEM to the most common structural typologies of civil engineering, its formulation according to the kinematical assumptions of the Bernoulli-Euler theory is presented. Two beam inverse finite elements are formulated for different loading conditions. Depending on the type of element, the relationship between the minimum number of required measurement stations and the interpolation order is defined. Several examples representing common applications of civil engineering and involving beams and frames are presented. To simulate the experimental strain data at the station points and to verify the accuracy of the displacements obtained with the iFEM shape sensing procedure, a direct FEM analysis of the considered structures is performed using the LUSAS software.

미시역학을 이용한 사질토의 이방적 변형 특성의 해석 (Micromechanical analysis on anisotropic deformation of granular soils)

  • 정영훈;정충기
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2004년도 춘계학술발표회
    • /
    • pp.129-136
    • /
    • 2004
  • Anisotropic characteristics of deformation are important to understand the particular behavior in the pre-failure state of soils. Recent experiments shows that cross-anisotropic moduli of granular soils can be expressed by functions of normal stresses in the corresponding directions, which is closely linked to micromechanical characteristics of particles. Granular soils are composed of a number of particles so that the force-displacement relationship at each contact point governs the macroscopic stress-strain relationship. Therefore, the micromechanical approach in which the deformation of granular soils is regarded as a mutual interaction between particle contacts is one of the best ways to investigate the anisotropic deformation of soils. In this study, a numerical program based on the theory of micromechanics is developed. Modified Hertz-Mindlin model is adopted to represent the force-displacement relationship in each contact point for the realistic prediction of anisotropic moduli. To evaluate the model parameters, a set of analytical solutions of anisotropic moduli is derived in the isotropic stress condition. By comparing the analytical solutions with exact values, we confirm that the analytical solutions can be utilized to evaluate model parameters within the acceptable range of error of 10%.

  • PDF

스트레인게이지를 이용한 회전체의 축정렬 연구 (A Study on Shaft Alignment of the Rotating Machinery by Using Strain Gages)

  • 김경석;장완식;나상수;정현철
    • 한국정밀공학회지
    • /
    • 제19권5호
    • /
    • pp.126-132
    • /
    • 2002
  • Misaligned shafts of the rotating machinery have caused noise, vibration. bearing failures, and stress concentration of coupling parts which decrease the efficiency and life of shaft systems. Therefore the proper shaft alignment of those system should be monitored continuously in dynamic condition. To solve these problems under dynamic condition a telemetry system is used. In this study, the condition of the least bending moment which is known by analyzing the structure and stress induced by misalignment is found. After the shaft is aligned by dial gage, a telemetry system with strain gages is installed on shaft. The relationship between bearing displacement and moment of coupling part influenced by misalignment is investigated. The moment derived from two shaft strain at the nearby coupling is measured. The bending strain is measured 5 times for average in static state as well as in dynamic state with 100∼700 rpm.

계측 자료의 비선형최소자승법을 이용한 파괴시간 예측 (Failure Time Prediction by Nonlinear Least Square Method with Deformation Data)

  • 윤용균;김병철;조영도
    • 터널과지하공간
    • /
    • 제19권6호
    • /
    • pp.558-566
    • /
    • 2009
  • 암석의 시간 의존적 거동은 기본적인 역학적 특성으로서 시간 의존적으로 거동을 분석하여 암반구조물의 파괴시간을 예측하는 것은 매우 중요하다. Voight가 제안한 재료 파괴 예측식($\ddot{\Omega}=A\dot{\Omega}^\alpha$, 여기서 $\Omega$는 변형률이나 변위와 같은 측정 가능한 물리량이고 A & $\alpha$는 상수이다)을 이용하여 터널, 사면 및 실내 크리프 시험으로부터 측정된 변위나 변형률로부터 파괴시간을 예측하고자 하였다. Voight식을 1차 및 2차 적분하여 구한 변위속도 및 변위식에 비선형최소자승법을 적용하여 A & $\alpha$를 구하였으며 이들 상수는 파괴시간을 예측하는데 사용되었다. 예측된 파괴시간은 실제 파괴시간과 잘 일치하는 것으로 나타났다. 크리프 변형률과 변형률속도에 선형역속도법을 적용하여 구한 예측 파괴시간은 변형률과 변형률속도를 이용하여 구한 파괴시간보다 오차가 큰 것으로 나타났다.

초탄성 재료의 변형률에너지함수를 이용한 LRB받침의 유한요소해석 (Finite Element Analysis of Lead Rubber Bearing by Using Strain Energy Function of Hyper-Elastic Material)

  • 조성국;박웅기;윤성민
    • 대한토목학회논문집
    • /
    • 제36권3호
    • /
    • pp.361-374
    • /
    • 2016
  • 이 연구는 대표적인 면진장치인 납고무베어링(LRB)의 유한요소모델의 신뢰성을 향상시키기 위하여 주재료인 고무의 재료특성에 대하여 연구하였다. 고무는 일반적인 탄성재료와는 달리 대변형, 비선형특성을 가지는 초탄성 재료이다. 본 연구에서는 고무를 초탄성 재료로 가정하고 그의 재료특성을 변형률에너지함수로 표현하여 LRB의 유한요소모델을 개발하였다. 연구를 위하여 여러 변형률에너지함수 중 몇 가지를 선별하고 이를 이용하여 고무의 재료특성을 예측하였다. 변형률에너지함수를 이용하여 결정된 고무의 재료특성과 표준적인 납의 재료특성을 이용하여 LRB의 유한요소모델을 개발하고, 수평방향과 수직방향의 힘-변위 관계를 해석하였다. LRB의 유한요소모델을 통하여 해석으로 예측한 수평과 수직방향 강성을 실험결과와 비교함으로써 개발된 유한요소모델의 적합성을 검증하였다.

구속효과를 고려한 철근 콘크리트 기둥의 모멘트-곡률 관계 단순모델 (Simplified Moment-Curvature Relationship Model of Reinforced Concrete Columns Considering Confinement Effect)

  • 곽민경;양근혁
    • 콘크리트학회논문집
    • /
    • 제28권3호
    • /
    • pp.279-288
    • /
    • 2016
  • 이 연구에서는 철근콘크리트(reinforced concrete, RC) 기둥의 휨 거동을 비교적 간단한 방법으로 평가하기 위해서 모멘트-곡률 관계를 단순화하였다. RC 기둥에서 주철근 배근을 이상화하고 힘의 평형조건 및 변형률 적합조건에 기반하여 초기 휨 균열 발생, 인장철근 항복 도달, 최대 내력 및 최대 내력 도달 후 최대 내력의 80% 시점에서의 내력과 중립축 깊이를 산정하였다. 기둥의 최대 내력 이후의 콘크리트 압축연단 변형률은 Kim et al의 구속된 콘크리트 응력-변형률 관계를 이용하여 산정하였다. 단순화된 모멘트-곡률 관계로부터 환산된 기둥의 횡하중-횡변위 관계는 다양한 변수하에서 수행한 기둥 실험결과와 잘 일치하였다. 고려된 각 단계에서의 모멘트와 중립축 깊이는 주철근 지수, 횡보강근 체적지수 및 축력 지수의 함수로 모델링하였다. 결국, 기둥의 곡률 연성은 콘크리트 압축강도 및 주철근과 횡보강근의 양과 함께 작용 축하중비에 중요한 영향을 받았다.

Vibration and Post-buckling Behavior of Laminated Composite Doubly Curved Shell Structures

  • Kundu, Chinmay Kumar;Han, Jae-Hung
    • Advanced Composite Materials
    • /
    • 제18권1호
    • /
    • pp.21-42
    • /
    • 2009
  • The vibration characteristics of post-buckled laminated composite doubly curved shells are investigated. The finite element method is used for the analysis of post-buckling and free vibration of post-buckled laminated shells. The geometric non-linear finite element model includes the general non-linear terms in the strain-displacement relationships. The shell geometry used in the present formulation is derived using an orthogonal curvilinear coordinate system. Based on the principle of virtual work the non-linear finite element equations are derived. Arc-length method is implemented to capture the load-displacement equilibrium curve. The vibration characteristics of post-buckled shell are performed using tangent stiffness obtained from the converged deflection. The code is first validated and then employed to generate numerical results. Parametric studies are performed to analyze the snapping and vibration characteristics. The relationship between loads and fundamental frequencies and between loads and the corresponding displacements are determined for various parameters such as thickness ratio and shallowness.

미고결 퇴적암층에서의 현장타설말뚝 지지력 특성 연구 (Bearing Capacity of In-situ Cast Piles in Weak Sedimentary Rocks)

  • 심동현;김기섭;유석준
    • 한국지반공학회:학술대회논문집
    • /
    • 한국지반공학회 2004년도 춘계학술발표회
    • /
    • pp.100-109
    • /
    • 2004
  • Is this study, results of static pile load tests of in-situ cast piles in weak or uncemented sedimentary rock layers have been analyzed and presented. Consdierations on the characteristics of soils sedimentary rocks have been made. From the measurements of strain gauges and extensometers the relationship of unit skim friction versus displacement and that of unit end bearing versus displacement have been obatined to verity the characteristics of bearing capacity of this uncemented sedimentary rock layers. Also, a comparison has been made between ultimate skin friction in compression and tension.

  • PDF

Structural monitoring of layered FGM distribution ring support: Analysis with and without internal pressure

  • Ghamkhar, Madiha;Harbaoui, Imene;Hussain, Muzamal;Ayed, Hamdi;Khadimallah, Mohamed A.;Alshoaibi, Adil
    • Advances in nano research
    • /
    • 제12권3호
    • /
    • pp.337-344
    • /
    • 2022
  • In this work, the vibrational frequency of two layered FGM cylindrical shell with and without the effects of internal pressure under ring support are discussed in detailed. The functionally graded materials of a cylindrical shell are designed for specific purpose and studied under various boundary conditions. The Love shell dynamical equations theory is utilized to find the relationship between the curvature displacement and strain displacement. Natural frequency vibrations are analyzed by using volume polynomial for bi-layered FGM shell under ring support both for with and without internal pressures.

Experimental Determination of Concrete Fracture Properties with Modified S-FPZ Model

  • Yon, Jung-Heum;Kim, Tai-Hoon
    • International Journal of Concrete Structures and Materials
    • /
    • 제18권3E호
    • /
    • pp.213-219
    • /
    • 2006
  • Modified singular fracture process zone(S-FPZ) model is proposed in this paper to determine a fracture criterion for continuous crack propagation in concrete. The investigated fracture properties of the proposed fracture model are strain energy release rate at a micro-crack tip and the relationship between crack closure stress(CCS) and crack opening displacement(COD) in the FPZ. The proposed model can simulate the actual fracture energy of experimental results fairly well. The results of the experimental data analysis show that specimen geometry and loading condition did not affect the CCS-COD relation. However, the strain energy release rate is a function of not only specimen geometry but also crack extension. The strain energy release rate remained constantly at the minimum value up to the crack extension of 25 mm, and then it increased linearly to the maximum value. The maximum fracture criterion occurred at the peak load for specimens of large size. The fracture criterion remained at the maximum value after the peak load. The variation of the fracture criterion is caused by micro-cracking and micro-crack localization. The fracture criterion of strain energy release rate can simply be the size effect of concrete fracture, and it can be used to quantify the micro-cracking and micro-crack localizing behavior of concrete.