• 제목/요약/키워드: Hyperbolic Model

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고성토 암버력 동다짐 지반의 침하거동 (The Settlement Behavior of Dynamically Compacted High Rock Embankment)

  • 지홍근;배경태;노정현;유광호
    • 한국지반환경공학회 논문집
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    • 제13권4호
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    • pp.61-69
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    • 2012
  • 본 연구에서는 부지 내 절토부에서 발생하는 암버력을 층당 7m씩 총 9층으로 단계별 동다짐 성토하여 조성된 최대 63m 고성토(高盛土) 암버력 지반의 거동특성을 파악하기 위해, 각 층 성토 완료 시 지중침하계를 설치하여 성토 중 침하량을 분석하였다. 또한, 암버력을 성토 단계별로 동다짐할 경우 하부 성토지반의 구속압 증가로 인하여 지반의 변형특성이 초기 상태와 차이가 발생할 것으로 예상됨에 따라 시공이력을 반영한 수치해석을 실시하여 지중침하계로부터 계측한 성토 단계별 침하량과 비교하였다. 한편, 최종 성토완료 후 선행재하 시 계측한 침하량을 분석하여, 본 연구대상 현장의 2차 크리프 침하량을 예측하였다.

충격하중을 받는 구조부재의 탄소성 파괴해석 프로그램 개발 (Development of Elastic-Plastic Fracture Analysis Program for Structural Elements under an Impact Loadings)

  • 김경수;박준범
    • 대한조선학회논문집
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    • 제35권1호
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    • pp.61-71
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    • 1998
  • 본 논문에서는 2차원 공간에서의 탄성 또는 탄소성응력파를 받는 구조부재의 동적 파괴거동을 다룬다. 이러한 문제에 대한 지배방정식은 운동방정식과 탄소성 구성방정식에 대한 증감식으로 구성된 쌍곡선 편미분 방정식으로 나타나고, 이를 풀기 위해 유한차분법을 기초로 한 Zwas방법이 도입된다. 또한 탄소성문제의 동적거동을 나타내기 위해 응력공간내 탄소성 loading path가 소성항복 현상을 모델링하는데 제안된다. 이러한 계산결과를 바탕으로 탄성체의 균열선단의 동적응력확대계수가 계산되어지고, 탄소성체에 대한 소성영역의 형상의 시간이력을 보여준다.

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유한요소법과 전계-열전자 방출 모델에 의한 절연유체 내 공간전하 전파해석 (Analysis of Space Charge Propagation in a Dielectric liquid Employing Field-Thermal Electron Emission Model and Finite Element Method)

  • 이호영;이세희
    • 전기학회논문지
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    • 제58권10호
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    • pp.2011-2015
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    • 2009
  • In an insulating dielectric liquid such as transformer oil, space charge injection and propagation were analyzed under the Fowler-Nordheim and Richardson-Dushman's thermal emission charge injection conditions for blade-plane electrodes stressed by a step voltage. The governing equations were composed of all five equations such as the Poisson's equation for electric fields, three continuity equations for electrons, negative, and positive ions, and energy balanced equation for temperature distributions. The governing equations for each carrier, the continuity equations, belong to the hyperbolic-type PDE of which the solution has a step change at the space charge front resulting in numerical instabilities. To decrease these instabilities, the governing equations were solved simultaneously by the Finite Element Method (FEM) employing the artificial diffusion scheme as a stabilization technique. Additionally, the terminal current was calculated by using the generalized energy method which is based on the Poynting's theorem, and represents more reliable and stable approach for evaluating discharge current. To verify the proposed method, the discharge phenomena were successfully applied to the blade~plane electrodes, where the radius of blade cap was $50{\mu}m$.

Dynamic response of concrete beams reinforced by Fe2O3 nanoparticles subjected to magnetic field and earthquake load

  • Mohammadian, Hossein;Kolahchi, Reza;Bidgoli, Mahmood Rabani
    • Earthquakes and Structures
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    • 제13권6호
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    • pp.589-598
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    • 2017
  • In this paper, dynamic response of the horizontal concrete beam subjected to seismic ground excitation is investigated. The structure is reinforced by $Fe_2O_3$ nanoparticles which have the magnetic properties. The hyperbolic shear deformation beam theory (HSDBT) is used for mathematical modeling of the structure. Based on the Mori-Tanaka model, the effective material properties of concrete beam is calculated considering the agglomeration of $Fe_2O_3$ nanoparticles. Applying energy method and Hamilton's principle, the motion equations are derived. Harmonic differential quadrature method (HDQM) along with Newmark method is utilized for numerical solution of the motion equations. The effects of different parameters such as volume fraction and agglomeration of $Fe_2O_3$ nanoparticles, magnetic field, boundary conditions and geometrical parameters of concrete beam are studied on the dynamic response of the structure. In order to validation of this work, an exact solution is used for comparing the numerical and analytical results. The results indicated that applying magnetic field decreases the of the structure up to 54 percent. In addition, increase too much the magnetic field (Hx>5e8 A/m) does not considerable effect on the reduction of the maximum dynamic displacement.

Thermo-mechanical behavior of porous FG plate resting on the Winkler-Pasternak foundation

  • Rabia, Benferhat;Tahar, Hassaine Daouadji;Abderezak, Rabahi
    • Coupled systems mechanics
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    • 제9권6호
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    • pp.499-519
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    • 2020
  • The effect of porosity on the thermo-mechanical behavior of simply supported functionally graded plate reposed on the Winkler-Pasternak foundation is investigated analytically in the present paper using new refined hyperbolic shear deformation plate theory. Both even and uneven distribution of porosity are taken into account and the effective properties of FG plates with porosity are defined by theoretical formula with an additional term of porosity. The present formulation is based on a refined higher order shear deformation theory, which is based on four variables and it still accounts for parabolic distribution of the transverse shearing strains and stresses through the thickness of the FG plate and takes into account the various distribution shape of porosity. The elastic foundation is described by the Winkler-Pasternak model. Anew modified power-law formulation is used to describe the material properties of FGM plates in the thickness direction. The closed form solutions are obtained by using Navier technique. The present results are verified in comparison with the published ones in the literature. The results show that the dimensionless and stresses are affected by the porosity volume fraction, constituent volume fraction, and thermal load.

Subsurface anomaly detection utilizing synthetic GPR images and deep learning model

  • Ahmad Abdelmawla;Shihan Ma;Jidong J. Yang;S. Sonny Kim
    • Geomechanics and Engineering
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    • 제33권2호
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    • pp.203-209
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    • 2023
  • One major advantage of ground penetrating radar (GPR) over other field test methods is its ability to obtain subsurface images of roads in an efficient and non-intrusive manner. Not only can the strata of pavement structure be retrieved from the GPR scan images, but also various irregularities, such as cracks and internal cavities. This article introduces a deep learning-based approach, focusing on detecting subsurface cracks by recognizing their distinctive hyperbolic signatures in the GPR scan images. Given the limited road sections that contain target features, two data augmentation methods, i.e., feature insertion and generation, are implemented, resulting in 9,174 GPR scan images. One of the most popular real-time object detection models, You Only Learn One Representation (YOLOR), is trained for detecting the target features for two types of subsurface cracks: bottom cracks and full cracks from the GPR scan images. The former represents partial cracks initiated from the bottom of the asphalt layer or base layers, while the latter includes extended cracks that penetrate these layers. Our experiments show the test average precisions of 0.769, 0.803 and 0.735 for all cracks, bottom cracks, and full cracks, respectively. This demonstrates the practicality of deep learning-based methods in detecting subsurface cracks from GPR scan images.

Finite element modelling for the static bending response of rotating FG-GPLRC beams with geometrical imperfections in thermal mediums

  • Bui Manh Cuong;Abdelouahed Tounsi;Do Van Thom;Nguyen Thi Hai Van;Phung Van Minh
    • Computers and Concrete
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    • 제33권1호
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    • pp.91-102
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    • 2024
  • Beam-shaped components commonly rotate along a fixed axis when massive mechanical structures like rotors, jet engine blades, motor turbines, and rotating railway crossings perform their functions. For these structures to be useful in real life, their mechanical behavior is essential. Therefore, this is the first article to use the modified shear deformation theory type hyperbolic sine functions theory and the FEM to study the static bending response of rotating functionally graded GPL-reinforced composite (FG-GPLRC) beams with initial geometrical deficiencies in thermal media. Graphene platelets (GPLs) in three different configurations are woven into the beam's composition to increase its strength. By comparing the numerical results with those of previously published studies, we can assess the robustness of the theory and mechanical model employed in this study. Parameter studies are performed to determine the effect of various geometric and physical variables, such as rotation speed and temperature, on the bending reactions of structures.

복잡지형 경사면의 일사 영향을 반영한 매시 낮 기온 추정 방법 (Estimation of hourly daytime air temperature on slope in complex terrain corrected by hourly solar radiation)

  • 윤은정;김수옥
    • 한국농림기상학회지
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    • 제20권4호
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    • pp.376-385
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    • 2018
  • 일출 이후부터 일몰 전까지 낮 동안 태양 일사로 인한 복잡지형 내 산사면 매시 기온 분포를 추정하기 위해, 동향사면과 서향사면 간 대표 기상관측지점에 대하여 매시 일사량 편차에 따른 관측기온의 편차(기온변화량)로 경험식을 산출하였다. 해당 경험식으로 일사효과를 모의하여 2015년 1월부터 2017년 12월까지 농산촌 지역 기상관측지점 11곳에 대해 매시 기온을 추정한 후 검증하였다. 매시 기온감률로 해발고도 보정만을 수행한 결과와 대조하였을 때, 일차식 형태의 경험식을 이용할 경우, 오전 9시부터 오후 3시까지 기온의 과소추정경향이 감소되어 추정오차를 줄일 수 있었다. 다만, 오후 5~6시에는 관측값 대신 기하학적 조건으로 계산된 경사면 일사량 편차로 도출된 hyperbolic equation이 더 추정오차가 작았다. 오후 3시 기준의 한낮기온은 선행연구에서 제시한 기존 모형과 추정신뢰도를 대조하였는데, 기존 모형의 추정오차(ME $-1.20^{\circ}C$, RMSE $2.01^{\circ}C$)를 ME $-0.28^{\circ}C$, RMSE $1.29^{\circ}C$까지 개선시킬 수 있었다.

A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams

  • Bouafia, Khadra;Kaci, Abdelhakim;Houari, Mohammed Sid Ahmed;Benzair, Abdelnour;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • 제19권2호
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    • pp.115-126
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    • 2017
  • In this paper, size dependent bending and free flexural vibration behaviors of functionally graded (FG) nanobeams are investigated using a nonlocal quasi-3D theory in which both shear deformation and thickness stretching effects are introduced. The nonlocal elastic behavior is described by the differential constitutive model of Eringen, which enables the present model to become effective in the analysis and design of nanostructures. The present theory incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect, and furthermore accounts for both shear deformation and thickness stretching effects by virtue of a hyperbolic variation of all displacements through the thickness without using shear correction factor. The material properties of FG nanobeams are assumed to vary through the thickness according to a power law. The neutral surface position for such FG nanobeams is determined and the present theory based on exact neutral surface position is employed here. The governing equations are derived using the principal of minimum total potential energy. The effects of nonlocal parameter, aspect ratio and various material compositions on the static and dynamic responses of the FG nanobeam are discussed in detail. A detailed numerical study is carried out to examine the effect of material gradient index, the nonlocal parameter, the beam aspect ratio on the global response of the FG nanobeam. These findings are important in mechanical design considerations of devices that use carbon nanotubes.

A generalized 4-unknown refined theory for bending and free vibration analysis of laminated composite and sandwich plates and shells

  • Allam, Othmane;Draiche, Kada;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Benrahou, Kouider Halim;Mahmoud, S.R.;Adda Bedia, E.A.;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제26권2호
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    • pp.185-201
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    • 2020
  • This research is devoted to investigate the bending and free vibration behaviour of laminated composite/sandwich plates and shells, by applying an analytical model based on a generalized and simple refined higher-order shear deformation theory (RHSDT) with four independent unknown variables. The kinematics of the proposed theoretical model is defined by an undetermined integral component and uses the hyperbolic shape function to include the effects of the transverse shear stresses through the plate/shell thickness; hence a shear correction factor is not required. The governing differential equations and associated boundary conditions are derived by employing the principle of virtual work and solved via Navier-type analytical procedure. To verify the validity and applicability of the present refined theory, some numerical results related to displacements, stresses and fundamental frequencies of simply supported laminated composite/sandwich plates and shells are presented and compared with those obtained by other shear deformation models considered in this paper. From the analysis, it can be concluded that the kinematics based on the undetermined integral component is very efficient, and its use leads to reach higher accuracy than conventional models in the study of laminated plates and shells.