• Title/Summary/Keyword: 선형변위

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Estimation of Final Deformation of Hard Rock Tunnel Using Early Measured Deformation (초기계측치를 이용한 경암 지반내 터널의 최총변위량 예측)

  • 송승곤;양형식;임성식;정소걸
    • Tunnel and Underground Space
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    • v.12 no.2
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    • pp.99-106
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    • 2002
  • To use the early measured data of tunnel deformation in but analysis, the relationship between these values find final deformation data were studied. Panet\`s exponential and fraction equations successfully approximate the convergence of the hard rock tunnels. Measured deformation data of ID location, $U_{1D}$ show that they can be lilted to linear equations but should not be used to estimate potential deformation before measurement, $C_{0}$. Early measured data $U_{1D}$ $U_{2D}$ , and final deformation $ U_{L}$ showed linear correlations. It proved that estimated data of final deformation from early measured ones can be used as input parameters for back analysis.

Inelastic Displacement Ratio for Strength-limited Bilinear SDF Systems (강도한계 이선형 단자유도 시스템의 비탄성 변위비)

  • Han, Sang-Whan;Lee, Tae-Sub;Seok, Seung-Wook
    • Journal of the Earthquake Engineering Society of Korea
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    • v.14 no.4
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    • pp.23-28
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    • 2010
  • This study evaluated the effect of vibration, level of lateral yielding strength, site conditions, ductility factor, strain-hardening ratio, and post-capping ratio of the strength limited bilinear SDF systems on the inelastic displacement ratio. The nonlinear response history analysis was conducted using 240 ground motions which were collected at the sites classified as site classes B, C, and D according to the NEHRP. To account for the P-$\Delta$ effects, this study considered negative stiffness ratios ranging from -0.1 to -0.5 of elastic stiffness. Four different damping ratios are used: 2, 5, 10, and 20%. From this study, an equation of inelastic displacement ratio was proposed using nonlinear regression analysis.

Retrofit Design of RC Column by Displacement-Based-Design Method (변위기반설계법에 의한 철근콘크리트 기둥의 보강설계)

  • Lim, Cheong-Kweon;Kwon, Min-Ho;Ha, Keum-Hee;Kim, Jin-Sup
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.6
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    • pp.2804-2811
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    • 2012
  • In this study, It is developed a retrofitting procedure of RC column with rectangular section to archive the target displacement at failure. Nonlinear behavior of the column is considered as the equivalent linear system. First, target displacement is determined, and then elastic displacement spectrum is constructed to estimate the equivalent natural vibration period of the SDOF system. After natural vibration period is determined, required strength is calculated using secant stiffness based on the mass of system. In accordance with, obtained force-displacement relationship through non-linear fiber based section analysis, retrofit design was carried out to meet required strength. As a result, retrofitted RC column can confirm that the improved seismic performance. It is observed that the proposed design procedure can be applicable to seismic retrofitting design of columns.

Linear Analysis and Non-linear Analysis with Co-Rotational Formulation for a Cantilevered Beam under Static/Dynamic Tip Loads (정적 및 동적 하중을 받는 외팔보 거동에 관한 선형 및 CR 정식화 비선형 예측의 비교)

  • Ko, Jeong-Woo;Bin, Young-Bin;Eun, Won-Jong;Shin, Sang-Joon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.5
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    • pp.467-475
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    • 2015
  • In this paper, the behaviour of a cantilevered beam was predicted to examine the difference between linear and non-linear static, dynamic analysis for a structure by using CR nonlinear formulation. Then, external transverse static and dynamic loads were applied at the free tip of the beam. Classical theories were used for the present linear analysis and co-rotational dynamic FEM program was used for the present nonlinear analysis. In the static analysis, effects of the load for the beam deflection were observed in both linear and nonlinear analysis. Then, normalized displacement at the tip of the beam was predicted for different frequency ratio and a significant difference was obtained in the vicinity of the resonant frequency. In addition, effects of frequency and time for the beam deflection were investigated to find the frequency delay.

Fragility Curve Evaluation of Reinforced Concrete Shear Wall Structures according to Various Nonlinear Seismic Analysis Methods (다양한 비선형지진해석방법에 따른 철근콘크리트 전단벽 구조물의 취약도곡선 평가)

  • Jang, Dong-Hui;Song, Jong-Keol;Kang, Sung-Lib;Park, Chang-Ho
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.4
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    • pp.1-12
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    • 2011
  • Seismic fragility analysis has been developed to evaluate the seismic performance of existing nuclear power plants, but now its applicability has been extended to buildings and bridges. In general, the seismic fragility curves are evaluated from the nonlinear time-history analysis (THA) using many earthquake ground motions. Seismic fragility analysis using the nonlinear THA requires a time consuming process of structural modeling and analysis. To overcome this shortcoming of the nonlinear THA, simplified methods such as the displacement coefficient method (DCM) and the capacity spectrum method (CSM) are used for the seismic fragility analysis. In order to evaluate the accuracy of the seismic fragility curve calculated by the DCM and the CSM, the seismic fragility curves of a reinforced concrete shear wall structure calculated by the DCM and CSM are compared with those calculated by the nonlinear THA. In order to construct a numerical fragility curve, 190 artificially generated ground motions corresponding to the design spectrum and the methodology proposed by Shinozuka et al. are used.

Geomatrically Non-linear Analysis Method by Curvature Based Flexibility Matrix (유연도 매트릭스를 사용한 기하학적 비선형 해석방법)

  • Kim, Jin Sup;Kwon, Min Ho
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.2
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    • pp.125-135
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    • 2011
  • The latest study for formulation of finite element method and computation techniques has progressed widely. The classical method in the formulation of frame elements for geometrically nonlinear analysis derives the geometric stiffness directly from the governing differential equation for bending with axial force. From the computational viewpoint of this paper, the most common approach is the finite element method. Commonly, the formulation of frame elements for geometrically nonlinear structures is based on appropriate interpolation functions for the transverse and axial displacements of the member. The formulation of flexibility-based elements, on the other hand, is based on interpolation functions for the internal forces. In this paper, a new method is used to suppose that interpolation functions for the displacements from the curvatures is Lagrangian interpolation. This paper derives flexibility matrix from that displacement functions and is considered the application of it. Using the flexibility matrix, this paper apply the program considered geometrically nonlinear analysis to common problems.

Response scaling factors for nonlinear response analysis of MDOF system (다층건물의 비선형 반응해석을 위한 반응수정계수)

  • 한상환;이리형
    • Computational Structural Engineering
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    • v.8 no.3
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    • pp.103-111
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    • 1995
  • Evaluating nonlinear response of a MDOF system under dynamic stochastic loads such as seismic excitation usually requires excessive computational efforts. To alleviate this computational difficulty, an approximation is developed in which the MDOF inelastic system is replaced by a simple nonlinear equivalent system(ENS).Me ENS retains the most important properties of the original system such as dynamic characteristics of the first two modes and the global yielding behavior of the MDOF system. The system response is described by the maximum global(building) and local(interstory) drifts. The equivalency is achieved by two response scaling factors, a global response scaling factor R/sub G/, and a local response scaling factor R/sub L/, applied to the responses of the ENS to match those of the original MDOF system. These response scaling factors are obtained as functions of ductility and mass participation factors of the first two modes of structures by extensive regression analyses based on results of responses of the MDOF system and the ENS to actual ground accelerations recorded in past earthquakes. To develop the ENS with two response scaling factors, Special Moment Resisting Steel Frames are considered. Then, these response scaling factors are applied to the response of ENS to obtain the nonlinear response of MDOF system.

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Displacement measurement in nanometer region and calibration of transducers using combined optical and x-ray interferometer (광/엑스선 복합간섭계를 이용한 나노미터 영역의 변위 측정 및 trnasducer의 비선형 교정)

  • Park Jin-Won;Jo Jae-Gun;Byun Sang-Ho;Eom Cheon-Il
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.06a
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    • pp.515-518
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    • 2005
  • 현재 정밀한 길이를 측정하기 위해서는 광 간섭계를 이용한 측정기술이 주로 사용되어지고 있다. 이러한 광 간섭계의 발전과 더불어 이보다 더 높은 분해능을 얻기 위해 광파장보다 1000배 정도 짧은 엑스선을 이용한 변위 측정 기술개발이 진행되고 있다. 본 연구에서는 이러한 엑스선을 이용한 간섭계를 제작하고, 광 간섭계와 결합된 광/엑스선 복합간섭계를 구성하여 광 간섭계가 안고 있는 자체의 비선형성이 제거된 정밀 변위 측정 시스템을 구성하였다. 그 응용으로써, 제작된 광/엑스선 복합간섭계를 이용하여 나노미터 영역에 서 사용하는 transducer의 비선형성을 측정하였다.

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POST-BUCKLING ANALYSIS OF PRESTRESSED CONCRETE BEAN-COLUMNS BY THE DISPLACEMENT CONTROL STRATEGY (변위제어법에 의한 프리스트레스트 콘크리트 보-기둥 구조의 후좌굴거동 해석)

  • 강영진
    • Magazine of the Korea Concrete Institute
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    • v.1 no.2
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    • pp.121-132
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    • 1989
  • 유한요소법을 바탕으로 한 프리스트레스트 콘크리트 평면 보-기둥 구조의 후좌굴 거동에 대한 수직해석법을 제시하였다. 콘크리트의 균열, 변형연화 및 PS강재의 항복과 같은 재료 비선형성을 고려하였다. 좌굴 거동 연구에 필수적 요소인 기하학적 비선형성을 Updated Lagraugian Formulation에 의하여고려하였다. 현재의 재료성질 및 변형상태에 부합하는 단분형 평형방정식을 수립하고 이것을 불평형 가중보정에 의한 Newton-Raphson 반복법으로 푼다. 좌굴후 발생하는 하중변형 곡선의 하련부는 비선형 평형 방정식의 해법중 일반적으로 많이 사용되는 가중 단분법이 아니라 변위단분법을 사용함으로써 올바르게 추적한다. 요소내의 재료성질변화는 층적분법에 의하여 고려한다. 본 논문에서는 콘크리트 균열에 의한 중립축이동의 영향을 정확히 고려하기 위하여 추가적으로 축방향변위에 대한 내부자유도를 설정하였다. 본 논문에서 제안하는 방법의 정당성과 응용성을 나타내 보일 수 있는 수직해석 예제를 제시하였다.

초광대역전송선형 FM 변별기에 관한 연구

  • 이충웅
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.2 no.1
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    • pp.10-13
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    • 1965
  • 본논문은 단종된 전송선과 개방된 전송선 및 2개의 결합저항기로 구성된 초광대역전송선형 FM변별기의 동적인 해석(dynamic analysis)을 취급하였다. 변별기의 출력파형의 Harmonic Distortion과 입력신호의 최대허용주파수변위와의 제관계를 Fourier transfrom으로 상세하게 해석하였다. 결합저항계수r(Fig 1 참조)는 변별기의 감도와 입력신호의 전주파수변위에 걸쳐 입력 Impedance가 일정하다는 견지에서 일로 놓아야 된다는 것이 판명되었다. 이론상으로는 100%의 주파수변위를 가진 FM신호라도 본변별기로 불과 2.6% Harmonic distortion으로 검파할 수 있으며 또한 검파시에 변별기의 입력 Impedance는 전종선의 특성 Impedance Z0로 일정하게 유지된다. 이론적인 결과를 뒷받침하기 위하여 실험결과를 첨부하였다. 본실험에서는 변별기의 특성곡선이 중심주파수 85.5Mc를 중심으로 40%의 주파수변위에 대하여 Linear하며, 또한 이때의 변별기의 입력 Impedance의 변화율은 이상치 Z0의 ±14% 이내이다.

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