• Title/Summary/Keyword: 비선형 관계식

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Comparison Study of Elastic Catenary and Elastic Parabolic Cable Elements (탄성현수선 및 탄성 포물선 케이블 요소의 비교연구)

  • Kim, Dong-Yeong;Song, Yo-Han;Kim, Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.224-227
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    • 2011
  • 케이블구조의 기하학적 비선형해석을 위한 탄성포물선 케이블요소를 제시한다. 탄성현수선 케이블요소에 대한 적합조건과 접선강도행렬을 토대로 장력이 충분히 도입되어 자중에 의한 처짐 형상이 포물선에 가깝다는 가정 하에서 무응력길이를 포함하는 탄성포물선 케이블요소의 비선형 힘-변형관계식과 접선강도 행렬을 구한다. 또한 현(chord)방향으로 두 케이블요소의 등가 공칭장력식을 정의한다. 탄성포물선 케이블 요소의 수치적인 정확성을 확인하기 위하여, 경사진 케이블을 탄성현수선과 탄성포물선 케이블요소로 각각 모델링하여 매개변수 해석을 수행하고 비교, 분석한 결과를 제시한다.

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Water Transmissibility of the Flow Conduit Located Under Standing Waves (중복파압(重複波壓)에 의한 수로(水路)의 투수성(透水性))

  • Chun, In Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1465-1474
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    • 1994
  • For a vertical wall with standing waves on its front face, the unsteady flow in a flow conduit installed through the wall is analyzed. A nonlinear standing wave theory making use of Fourier expansion is applied, and the results are verified by a hydraulic experiment. It is found that the nonlinear theory better predicts the behavior of the flow compared to its linear counterpart. The investigation of the water transmissibility through the conduit shows that the variation of the flow rate becomes larger as the standing wave height and period increase and as the length of conduit decreases. The relationship is presented by a nondimensional equation. The net flow gain per one wave period, which is directly related to water exchanging capability of the conduit, appears to be negative in both theory and experiment when the conduit is located near the bottom. The maximal flow gain occurs in the conduit whose mouth is located at the still water level. In addition, it is shown that the longer wave period and the shorter conduit length are more effective in the water exchanging performance.

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A Study on Mechanical Analysis of Cable Logging Systems - with an Example of a Standing Skyline - (가선집재시스템 역학구조 해석에 관한 연구 - 고정식 가선집재시스템을 중심으로 -)

  • Chung, Joo Sang
    • Journal of Korean Society of Forest Science
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    • v.82 no.1
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    • pp.34-43
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    • 1993
  • In this paper, the characteristics of cable logging operations are discussed from a standpoint of mechanics. An example of standing skyline operations is used to illustrate the mechanical principles. Using force and moment boundary conditions, the maximum allowable payload was formulated as a function of slope profile, system geometry and operation options. This formulation includes fundamental equations for log drag and single segment mechanics. The catenary link model is the basic assumption in simulating cable segment stretches. In order to demonstrate the solution procedures of the formulation, a computer model was developed. The model uses Secant algorithm to determine the solution of the complex nonlinear equation set. Finally, the computer model was demonstrated using a hypothetical data set.

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Ultimate Resisting Capacity of RC Columns Considering P-$\Delta$ Effect (P-$\Delta$ 효과를 고려한 RC 기둥의 극한저항력 산정)

  • 곽효경;김진국;김한수
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.1
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    • pp.105-116
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    • 2002
  • In this paper, an analytical model to predict the resisting capacity of slender RC columns is introduced. Material and geometric nonlinearities are taken into account, and the layer approach is adopted to simulate the different material properties across the sectional depth. On the basis of the obtained numerical analysis results, an improved design equation as a function of concrete strength, slenderness ratio, steel ratio and eccentricity for slender RC columns, which can be used effectively in the preliminary design stage, is introduced. Finally, P-M interaction diagrams constructed by the introduced equation are compared with the ACI method with the objective of establishing the relative efficiencies of the introduced equation.

Fourier Approximation of Nonlinear Standing Waves (비선형 정상파의 Fourier급수 해석)

  • 전인식;안희도
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.4 no.4
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    • pp.219-224
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    • 1992
  • A numerical method using the truncated Fourier series is presented to predict the wave potential and water surface profile for two dimensional nonlinear standing waves. The unknown coefficients of the series are to be determined through the Newton solution of nonlinear simultaneous equations given by the governing equation and boundary conditions of the problem. In order to prove the effectiveness of the present method. an existing Stokes-like perturbation method is considered together, and a hydraulic experiment for measuring water surface profile and wave pressure is performed as well. The results are such that the present method can generally give exact solutions even for relatively big wave stiffness regardless of the water depth condition. It also demonstrates its validity by showing double humps in the crest of temporal wave pressure profile which normally appear in strongly nonlinear standing waves.

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Prediction of Non-linear Behavior of Flexible Matrix Composites (유연수지를 기지재료로 하는 복합재료의 비선형거동 예측)

  • 서영욱;우경식
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.34 no.10
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    • pp.24-31
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    • 2006
  • In this paper, mechanical behavior of unidirectional composites with flexible matrix was predicted by geometrical non-linear finite element analysis. Two typical idealized unit cells of square and hexagonal fiber arrays were modeled and these were subjected to different loadings. The stress-strain behavior of composites was predicted from which the effective properties were calculated. The hyperelasticity of polyurethane matrix was considered using Mooney-Rivlin model. In result, the stress-strain behavior of flexible composites shows non-linearity, especially it is remarkable under transverse normal and shear loading conditions. In this cases, there are great difference between square and hexagonal fiber array models.

Evaluation of the Mechanical Properties of Electroformed Multi-nano Layers by the Dynamic-Nano Indentation Method (동적 나노압침법과 유한요소 해석에 의한 전주된 Invar-Cu 복합 박막층의 기계적 특성 평가)

  • Gang, Bo-Gyeong;Han, Sang-Seon;Choe, Yong
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2016.11a
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    • pp.201.1-201.1
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    • 2016
  • 전주된 Invar (Fe-35%Ni) 박판 위에 증착된 Cu 박막은 스퍼터 전력량이 증가할수록 증착속도가 증가하였다. Cu/Invar 박판이 Invar 박판보다 면저항 값이 34%로 작았다. Invar 박판 위에 Cu가 증착되면 최대자화와 투자율은 각각 40.3, 65.0 [%] 감소하였다. Cu 박막의 탄성하강강성도, 마찰계수, 피로한계는 각각 45, 0.130, 0.093 이었다. 동적 나노 압침법으로 얻은 Invaar/Cu 박막의 하중-시간-변위 곡선의 가장 큰 차이는 탄성하강강성도(elastic stiffness) 이었다. 미세경도와 나노경도의 실험적 관계식은 $Y[GPa]=9.18{\times}10^{-3}X[Hv]$ 이었다. 나노압침선단의 하중분포를 이차원 선형 및 비선형 유한요소해석을 통하여 1.0 [mN] 의 정적하중을 가한 Cu 박막은 486 [mN] 으로 예측되었다. 이는 표면탐침현미경으로 관찰한 압흔의 변형정도와 유사한 경향을 보였다.

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Non-contact Stress Measurement in Steel Member using Piezospectroscopy (압분광법을 이용한 강재의 비접촉식 응력측정)

  • Kim, Jongwoo;Kim, Namgyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.23 no.3
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    • pp.92-95
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    • 2019
  • In this paper, a novel laser-based non-contact and non-destructive stress measurement technique is newly proposed for measuring stress in steel structural members. As the demand of stress monitoring in structural members is increased, various non-destructive techniques are being applied to the field of structural health monitoring. Spectroscopic techniques are non-contact technique and widely used for chemical identification of target materials. Especially, piezospectroscopic technique is a residual stress measurement technique in thermal barrier coatings. Although the piezospectroscopic technique has high possibility of measuring structural stress in steel members, the technique has been rarely applied to this field. In this paper, piezospectroscopy-based stress measurement technique is, therefore, proposed for measuring stress in steel structural member. To do that, alumina particles have been coated onto a specimen of a structural steel rod using a thermal spray coating technique. And then, an uniaxial compression test has been conducted to the specimen to collect each fluorescence spectrum under different loading conditions. Finally, the linear relation of spectral shift and applied compressive stress of the specimen has been experimentally established.

Development of Stress-Strain Relationship Considering Strength and Age of Concrete (콘크리트의 강도와 재령을 고려한 응력-변형률 관계식의 개발)

  • 오태근;이성태;김진근
    • Journal of the Korea Concrete Institute
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    • v.13 no.5
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    • pp.447-456
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    • 2001
  • Many investigators have tried to represent the nonlinear behavior of stress-strain relationship of concrete using mathematical curves. Most of empirical expressions for stress-strain relationship, however, have focused on old age concrete, and were not able to represent well the behavior of concrete at an early age. Where wide understanding on the behavior of concrete from early age to old age is very important in evaluating the durability and service life of concrete structures. In this paper, effect of 5 different strength levels and ages of from 12 hours to 28 days on compressive stress-strain relationship was observed experimentally and analytically. Tests were carried out on $\phi$100${\times}$200mm cylindrical specimens water-cured at 20${\pm}$3$^{\circ}C$. An analytical expression of stress-stain relationship with strength and age was developed using regression analyses on experimental results. For the verification of the proposed model, the model was compared with present and existing experimental data and some existing models. The analysis shows that the proposed model predicts well experimental data and describes well effect of strength and age on stress-strain relationship.