• Title/Summary/Keyword: Numerical Dispersion

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Vibration response and wave propagation in FG plates resting on elastic foundations using HSDT

  • Nebab, Mokhtar;Atmane, Hassen Ait;Bennai, Riadh;Tounsi, Abdelouahed;Bedia, E.A. Adda
    • Structural Engineering and Mechanics
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    • v.69 no.5
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    • pp.511-525
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    • 2019
  • This paper presents an analytical study of wave propagation in simply supported graduated functional plates resting on a two-parameter elastic foundation (Pasternak model) using a new theory of high order shear strain. Unlike other higher order theories, the number of unknowns and governing equations of the present theory is only four unknown displacement functions, which is even lower than the theory of first order shear deformation (FSDT). Unlike other elements, the present work includes a new field of motion, which introduces indeterminate integral variables. The properties of the materials are assumed to be ordered in the thickness direction according to the two power law distributions in terms of volume fractions of the constituents. The wave propagation equations in FG plates are derived using the principle of virtual displacements. The analytical dispersion relation of the FG plate is obtained by solving an eigenvalue problem. Numerical examples selected from the literature are illustrated. A good agreement is obtained between the numerical results of the current theory and those of reference. A parametric study is presented to examine the effect of material gradation, thickness ratio and elastic foundation on the free vibration and phase velocity of the FG plate.

Optimal earthquake intensity measures for probabilistic seismic demand models of ARP1400 reactor containment building

  • Nguyen, Duy-Duan;Thusa, Bidhek;Azad, Md Samdani;Tran, Viet-Linh;Lee, Tae-Hyung
    • Nuclear Engineering and Technology
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    • v.53 no.12
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    • pp.4179-4188
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    • 2021
  • This study identifies efficient earthquake intensity measures (IMs) for seismic performances and fragility evaluations of the reactor containment building (RCB) in the advanced power reactor 1400 (APR1400) nuclear power plant (NPP). The computational model of RCB is constructed using the beam-truss model (BTM) for nonlinear analyses. A total of 90 ground motion records and 20 different IMs are employed for numerical analyses. A series of nonlinear time-history analyses are performed to monitor maximum floor displacements and accelerations of RCB. Then, probabilistic seismic demand models of RCB are developed for each IM. Statistical parameters including coefficient of determination (R2), dispersion (i.e. standard deviation), practicality, and proficiency are calculated to recognize strongly correlated IMs with the seismic performance of the NPP structure. The numerical results show that the optimal IMs are spectral acceleration, spectral velocity, spectral displacement at the fundamental period, acceleration spectrum intensity, effective peak acceleration, peak ground acceleration, A95, and sustained maximum acceleration. Moreover, weakly related IMs to the seismic performance of RCB are peak ground displacement, root-mean-square of displacement, specific energy density, root-mean-square of velocity, peak ground velocity, Housner intensity, velocity spectrum intensity, and sustained maximum velocity. Finally, a set of fragility curves of RCB are developed for optimal IMs.

Parametric study on multichannel analysis of surface waves-based nondestructive debonding detection for steel-concrete composite structures

  • Hongbing Chen;Shiyu Gan;Yuanyuan Li;Jiajin Zeng;Xin Nie
    • Steel and Composite Structures
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    • v.50 no.1
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    • pp.89-105
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    • 2024
  • Multichannel analysis of surface waves (MASW) method has exhibited broad application prospects in the nondestructive detection of interfacial debonding in steel-concrete composite structures (SCCS). However, due to the structural diversity of SCCS and the high stealthiness of interfacial debonding defects, the feasibility of MASW method needs to be investigated in depth. In this study, synthetic parametric study on MASW nondestructive debonding detection for SCCSs is performed. The aim is to quantitatively analyze influential factors with respect to structural composition of SCCS and MASW measurement mode. First, stress wave composition and propagation process in SCCS are studied utilizing 2D numerical simulation. For structural composition in SCCS, the thickness variation of steel plate, concrete core, and debonding defects are discussed. To determine the most appropriate sensor arrangement for MASW measurement, the effects of spacing and number of observation points, along with distances between excitation points, nearest boundary, as well as the first observation point, are analyzed individually. The influence of signal type and frequency of transient excitation on dispersion figures from forwarding analysis is studied to determine the most suitable excitation signal. The findings from this study can provide important theoretical guidance for MASW-based interfacial debonding detection for SCCS. Furthermore, they can be instrumental in optimizing both the sensor layout design and signal choice for experimental validation.

Three-Dimensional Numerical Simulation of Impacts of Fault Existence on Groundwater Flow and Salt Transport in a Coastal Aquifer, Buan, Korea (한국 부안 지역 해안 대수층 내의 지하수 유동 및 염분 이동에 대한 단층 존재의 영향 삼차원 수치 모의)

  • Park, Ju-Hyun;Kihm, Jung-Hwi;Kim, Han-Tae;Kim, Jun-Mo
    • Journal of Soil and Groundwater Environment
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    • v.13 no.5
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    • pp.33-46
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    • 2008
  • A series of three-dimensional numerical simulations using a generalized multidimensional hydrodynamic dispersion numerical model is performed to simulate effectively and to evaluate quantitatively impacts of fault existence on densitydependent groundwater flow and salt transport in coastal aquifer systems. A series of steady-state numerical simulations with calibration is performed first for an actual coastal aquifer system which contains a major fault. A series of steadystate numerical simulations is then performed for a corresponding coastal aquifer system which does not have such a major fault. Finally, the results of both numerical simulations are compared with each other and analyzed. The results of the numerical simulations show that the major fault produces hydrogeologically significant heterogeneity and true anisotropy in the actual coastal aquifer system, and density-dependent groundwater flow, salt transport, and seawater intrusion patterns in the coastal aquifer systems are intensively and extensively dependent upon the existence or absence of such a major fault. Especially, the major fault may act as a pathway for groundwater flow and salt transport along the direction parallel to its plane, while it may also behave as a barrier against groundwater flow and salt transport along the direction perpendicular to its plane.

Wave propagation in a generalized thermo elastic plate embedded in elastic medium

  • Ponnusamy, P.;Selvamani, R.
    • Interaction and multiscale mechanics
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    • v.5 no.1
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    • pp.13-26
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    • 2012
  • In this paper, the wave propagation in a generalized thermo elastic plate embedded in an elastic medium (Winkler model) is studied based on the Lord-Schulman (LS) and Green-Lindsay (GL) generalized two dimensional theory of thermo elasticity. Two displacement potential functions are introduced to uncouple the equations of motion. The frequency equations that include the interaction between the plate and foundation are obtained by the traction free boundary conditions using the Bessel function solutions. The numerical calculations are carried out for the material Zinc and the computed non-dimensional frequency and attenuation coefficient are plotted as the dispersion curves for the plate with thermally insulated and isothermal boundaries. The wave characteristics are found to be more stable and realistic in the presence of thermal relaxation times and the foundation parameter. A comparison of the results for the case with no thermal effects shows well agreement with those by the membrane theory.

Noise Loading Analysis using Volterra Kernels to Characterize Fiber Nonlinearities

  • Lee, Jong-Hyung
    • Korean Journal of Optics and Photonics
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    • v.23 no.6
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    • pp.246-250
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    • 2012
  • We derive analytical expressions for the output spectral density and the noise power $P_{\beta}$ in noise loading analysis using Volterra kernels to characterize fiber nonlinearities. The bandwidth of the input noise source has little effect on $P_{\beta}$, but the power of the input noise source and the dispersion parameter value of the fiber have a significant effect on $P_{\beta}$. The Volterra method predicts ${\Delta}P_{\beta}[dB]$ = 30 dB/decade, which agrees very accurately over a wide range of fiber parameters compared with the numerical results by the split-step Fourier method. Therefore the Volterra method could be useful to predict the performance of a dense WDM system when we plan to upgrade fiber or increase signal power.

Study of Optical Transmission Performance in IP-over-WDM Networks Based on FSK/ASK Combined Modulation Format

  • Xiangjun, Xin;Andre, Paulo Sergio de Brito;Teixeira, Antonio Luis Jesus;Monteiro, Paulo P.;Rocha, Jose R. F. da
    • ETRI Journal
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    • v.27 no.3
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    • pp.267-272
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    • 2005
  • The transmission performance of optical labeling based on a combined frequency shift keying/amplitude shift keying (FSK/ASK) format is studied by numerical simulation. The simulation demonstrates that the bit-error ratio (BER) characteristic of an ASK signal is limited by the extinction ratio, received optical power, and dispersion, simultaneously. However, an FSK signal is mainly limited by the extinction ratio (ER) and received optical power when the peak spectrum, which is used to detect the FSK signal, is relatively narrow.

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Numerical Studies for the Application of the SASW Method in an Inclined Soil Layer (경사지반에서 SASW기법 적용시 수치해석을 이용한 영향요소 연구)

  • 김동수;윤종구;이병식;박형춘
    • Journal of the Korean Geotechnical Society
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    • v.17 no.1
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    • pp.77-84
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    • 2001
  • SASW 기법은 실험에서 얻은 실험분산곡선이 현장 지반 강성의 주상을 합리적으로 반영하므로 실험결과로부터 전단파 속도 주상도를 신속하게 결정할 수 있는 장점을 가지고 있다. 그러나, 실험결과를 해석하는 과정에서 현재까지는 지반의 층상구조를 수평으로 가정하는 근본적인 한계점을 지니고 있었다. 이는 지반이 수평층상구조가 아닐 경우 해석적인 해를 구하기 힘들기 때문이다. 본 논문에서는 유한요소 수치해석을 통하여 경사진 지반에서 SASW 기법을 수행했을 경우 지반경사를 고려한 지반 조건이 실험분산곡선에 미치는 영향을 규명하였다. 이를 위하여 지반의 기울기와 표면파 전파 방향이 실험분산곡선에 미치는 영향과 파의 전파형상에 미치는 영향을 규명하기 위한 해석을 수행하였다. 해석결과 경사지반에서 지반 조건이 변함에 따라 실험 분산곡선에 많은 변화가 나타났고, 경사진 지반에서 파의 전파현상은 수평 층에서의 파의 전파형상과는 전혀 다른 특성으로 나타남을 알 수 있었다.

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Finite Difference Modeling for Scale-Dependent Dispersivity in a Fractured Medium

  • Han, Choongyong;Kang, Joe M.;Choe, Jonggeun
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2002.04a
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    • pp.102-105
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    • 2002
  • A new finite difference model is developed for solute transport in a fractured medium that can consider advection, adsorption, first-order decay, and scale-dependent dispersivity of individual fractures. In the model, the dispersivity of individual fractures is employed as a variable increasing with travel distance from a source. The model is verified using an analytical solution for a single fracture. A solution from the new model is independent of the outlet boundary condition of fractures, and has little numerical dispersion error.

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Numerical Study of Inclusion removal from Molten Steel by Argon Gas Flotation (용강 내 아르곤가스의 개재물 흡착에 대한 수치적 연구)

  • 문창호;황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.05a
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    • pp.335-338
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    • 2003
  • A finite element-based, integrated process model has been developed and applied to predict the detailed, three-dimensional aspects of the thermo-mechanical behavior occurring in the slab caster considering inclusion removal from molten steel by argon bubble flotation. Gas bubbles are simulated using the dispersion model calculating the volume fraction, and the bubble capture effect is included by a source term in the transport equation for particles. The process model is applied to the investigation of the effect of various process parameters on the inclusion removal in the molten steel.

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