• Title/Summary/Keyword: 자유단 경계 조건

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Free Vibration Characteristics of a Composite Beam with Multiple Transverse Open Cracks (다중 크랙이 있는 복합재료 보의 자유진동 특성)

  • 하태완;송오섭
    • Composites Research
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    • v.13 no.3
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    • pp.9-20
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    • 2000
  • Free vibration characteristics of a cantilevered laminated composite beam with multiple non-propagating transverse open cracks are investigated. In the present analysis a special ply-angle distribution referred to as asymmetric stiffness configuration inducing the elastic coupling between chord-wise bending and extension is considered. The multiple open cracks are modelled as equivalent rotational springs whose spring constants are calculated based on the fracture mechanics of composite material structures. Governing equations of a composite beam with open cracks are derived via Hamilton's Principle and Timoshenko beam theory encompassing transverse shear and rotary inertia effect is adopted. The effects of various parameters such as the ply angle, fiber volume fraction, crack numbers, crack positions and crack depthes on the free vibration characteristics of the beam with multiple cracks are highlighted. The numerical results show that the existence of the multiple cracks in an anisotropic composite beam affects the free vibration characteristics in a more complex fashion compared with the beam with a single crack.

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Flood simulation in the downstream area of Mekong river using satellite rainfall (위성강우를 이용한 메콩강 하류 홍수모의)

  • Choi, Yun Seok;Kim, Joo Hun;Kim, Kyung Tak
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.391-391
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    • 2020
  • 본 연구의 목적은 2006년 6월 ~ 10월에 발생한 메콩강 하류 지역의 홍수를 모의하는 것이다. 강우자료는 위성강우 자료인 미국 NOAA의 CMORPH를 적용하였으며, 홍수유출 해석은 GRM 모델을 적용하였다. Tonlesap 호수를 포함하는 메콩강 하류 지역의 침수분석은 G2D 모델을 적용하였다. 위성강우 자료는 NOAA의 3시간 간격의 CMORPH 위성강우자료를 일일강우량 자료로 변환하고, 일본의 Research Institute for Humanity and Nature (RIHN)과 Meteorological Research Institute of the Japan Meteorological Agency (MRI/JMA)의 APHRODITE 프로젝트에 의해 구축된 APHRODITE 강우량 자료를 이용하여 보정한 후 홍수모의에 적용하였다. DEM 자료는 HydroSHED 15s자료를 이용하였고, 토양도는 UN FAO의 HWSD, 그리고 토양도는 Global map landcover ver3.0을 이용하였다. GRM 모델과 G2D 모델은 Github(https://github.com/floodmodel)에 공개되어 있으며, 이를 이용하였다. 유출 모델은 메콩강 전체 유역을 대상으로 2682.815m의 공간해상도로 구축하였다. 보정한 강우를 이용하여 유출모의 한 결과 첨두유량은 23,796.8 ㎥/sec로 계산되었다. Kratie 지점의 유출량과 Tonlesap 호수로 집수되는 유량을 상류단 경계조건으로 이용하여 약 150일 동안의 침수모의를 하였다. 450 m 공간해상도로 침수모의 도매인을 구축하였으며, 조도계수는 0.045를 사용하였고, 하류단은 자유수면 유출조건을 적용하였다. 침수분석 결과 메콩강 본류를 흐르는 유량이 Tonlesap 호수로 유입되어 호수의 수위가 상승하였다. Tonlesap 호수의 최대침수심은 약 11 m를 나타내었으며, 호수로 유입된 유량은 모의기간 중에 호수에 저류되어 있었다. 메콩강 본류의 Kratie 지점으로 유입되는 유량이 첨두값을 지난 후에도 모의 기간이 길어질수록 메콩강 하류 델타지역과 그 주변의 평지로 침수범위가 확대 되었다. 모의 종료시에는 메콩강 하류가 광범위하게 침수되면서 최대 침수면적을 나타내었다. 본 연구에서 메콩강을 범람한 홍수는 메콩강 하류의 서쪽 해안으로 먼저 유출이 되었다. 이는 침수모의에 적용된 DEM 자료가 북동쪽에서 서남쪽 방향으로 빗살무늬 형태의 고도분포를 가지기 때문인 것으로 판단되며, 대상 지역의 DEM 정확성 평가와 함께 추가적인 연구가 필요하다.

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A Formulation of NDIF Method to the Algebraic Eigenvalue Problem for Efficiently Extracting Natural Frequencies of Arbitrarily Shaped Plates with the Simply Supported Boundary Condition (단순지지 경계조건을 가진 임의 형상 평판의 효율적인 고유진동수 추출을 위한 NDIF법의 대수 고유치 문제로의 정식화)

  • Kang, S.W.;Kim, J.G.
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.6
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    • pp.607-613
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    • 2009
  • A new formulation of NDIF method to the algebraic eigenvalue problem is introduced to efficiently extract natural frequencies of arbitrarily shaped plates with the simply supported boundary condition. NDIF method, which was developed by the authors for the free vibration analysis of arbitrarily shaped membranes and plates, has the feature that it yields highly accurate natural frequencies compared with other analytical methods or numerical methods(FEM and BEM). However, NDIF method has the weak point that it needs the inefficient procedure of searching natural frequencies by plotting the values of the determinant of a system matrix in the frequency range of interest. A new formulation of NDIF method developed in the paper doesn't require the above inefficient procedure and natural frequencies can be efficiently obtained by solving the typical algebraic eigenvalue problem. Finally, the validity of the proposed method is shown in several case studies, which indicate that natural frequencies by the proposed method are very accurate compared to other exact, analytical, or numerical methods.

Prediction and Application of the Dynamic Modulus of Elasticity of Concrete Using the Wavelet Analysis (웨이블릿 해석을 이용한 콘크리트의 동탄성계수 추정 및 응용)

  • Jung, Beom-Seok
    • Journal of the Korea Concrete Institute
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    • v.22 no.6
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    • pp.843-850
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    • 2010
  • The dynamic modulus of elasticity of concrete can be determined nondestructively using impact echo test as prescribed in KS F 2437. The fundamental longitudinal frequency of the concrete cylinders with free-free boundary condition was estimated by the wavelet transform theory. The advantage of the wavelet transform over either a pure spectral or temporal decomposition of the signal is that the features of the pertinent signals can be characterized in the time-frequency plane. For the concrete mix design utilized in this study, no significant difference between the dynamic and the static moduli of elasticity was observed. This was contrary to the perceived general notion of having the dynamic modulus considerably higher than the static modulus. It has been shown that the modulus from static and dynamic by impact echo test are comparable to each other fairly well, when the effect of strain level was properly taken into account. In this experimental test, it was shown that the dynamic modulus is approximately equal to the tangent modulus at $1{\times}10^{-4}$ strain level.

Theoretical Modeling of the Resonant Column Testing with the Viscosity of a Specimen Considered (점성을 고려한 공진주 실험의 이론적 모델링)

  • 조성호;황선근;권병성;강태호
    • Journal of the Korean Geotechnical Society
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    • v.19 no.4
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    • pp.145-153
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    • 2003
  • The resonant column testing determines the shear modulus and material damping factor dependent on the shear strain magnitude, based on the wave-propagation theory. The determination of the dynamic soil properties requires the theoretical formulation of the dynamic behavior of the resonant column testing system. One of the theoretical formulations is the use of the wave equation for the soil specimen in the resonant column testing device. Wood, Richart and Hall derived the wave equation by assuming the linear elastic soil, and didn't take the material damping into consideration. Hardin incorporated the viscoelastic damping of soil in the wave equation, but he had to assume the material damping factor for the determination of the shear modulus. For the better theoretical formulation of the resonant column testing, this study derived a new wave equation to include the viscosity of soil, and proposed an approach for the solution. Also, in this study, the equation of motion for the testing system, which is another approach of the theoretical formulation of the resonant column testing, was also derived. The equation of motion leads to the better understanding of the resonant column testing, which includes the dynamic magnification factor and the phase angle of the response. For the verification of the proposed equation of motion for the resonant column testing, the finite element analysis was performed for the resonant column testing. The comparison of the dynamic magnification factors and the phase angles far the system response were performed.

Enhancement of FLDWAV Model for Its Application to the Main Reach of the Han River (한강 본류에의 적용을 위한 FLDWAV 모형의 개선)

  • Jun, Kyung-Soo;Kim, Jin-Soo;Lee, Sang-Ho
    • Journal of Korea Water Resources Association
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    • v.40 no.2 s.175
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    • pp.135-146
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    • 2007
  • FLDWAV model was modified such that it can adequately simulate the effect of Jamsil and Singok submerged weirs in the main reach of the Han River. The enhanced model combines weir-type discharge equations for overflow at fixed weir and Manning equation for fluvial-type flow at the movable weir. Equations for weir overflow include those for submerged weir flow and free overflow. Gates of the movable weir may be open or closed for the simulation. In order to test the simulation capabilities, the enhanced model was applied for various flow conditions at submerged weirs. Backwater effect due to Jamsil and Singok submerged weirs were well simulated. Simulations were carried out for spring and neap tides extracted from artificial tide generated by combining $M_2\;and\;S_2$ tidal constituents. Simulation results cleared indicated that tidal effect extends further upstream as the flood discharge decreases. Low flow simulation capabilities of the enhanced model was tested. Discontinuities of water surface elevation due to the submerged weirs were successively simulated.

A Field Verification Study on the Effect of Filter Layers on Groundwater Level Drop Characteristics, Permeability, Optimum Yield and Well Efficiency in the Unconfined Aquifer Well for Riverbank Filtration Intake (강변여과수 취수를 위한 충적우물에서 필터층이 수위강하특성, 투수성, 적정양수량 및 우물효율에 미치는 영향에 대한 현장실증 연구)

  • Song, Jae-Yong;Lee, Sang-Moo;Kang, Byeong-Cheon;Lee, Geun-Chun;Jeong, Gyo-Cheol
    • The Journal of Engineering Geology
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    • v.29 no.4
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    • pp.509-529
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    • 2019
  • This study performs to evaluate the role of filter material at alluvial well for intake of riverbank filtration and the applicability and improvement effect of dual filter well. To achieve this objective, dual filter intake well and single filter intake well were installed with different filter conditions at riverbank free surface aquifer in soil layer then we evaluated filter material condition, permeability, optimum yield and well efficiency according to yield in drawdown test. As a results, we assumed forming dual filter layer minimizes sudden speed changes at boundary between aquifer and filter layer by cushioning of groundwater flow. This suppresses warm current then intake groundwater efficiently, therefore it seems decreasing peripheral groundwater level changes in spite of higher intake water amount than single filter intake well. Furthermore, we confirmed by test, installing dual filter improves permeability, optimum yield and well efficiency. The result will be used by combining with former study to set up standard of design/construction of dual filter intake well at alluvial aquifer layer. Furthermore, we expect this result will be used to prove application effect of dual filter intake well compared to single filter one and radial collector well which are mainly applied on riverbank filtration.